0.003 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.237 * * * [progress]: [2/2] Setting up program.
0.243 * [progress]: [Phase 2 of 3] Improving.
0.243 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.243 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.243 * * [simplify]: iteration 1: (13 enodes)
0.252 * * [simplify]: iteration 2: (57 enodes)
0.302 * * [simplify]: iteration 3: (102 enodes)
0.340 * * [simplify]: iteration 4: (189 enodes)
0.411 * * [simplify]: iteration 5: (375 enodes)
0.569 * * [simplify]: iteration 6: (937 enodes)
1.461 * * [simplify]: Extracting #0: cost 1 inf + 0
1.461 * * [simplify]: Extracting #1: cost 60 inf + 0
1.463 * * [simplify]: Extracting #2: cost 219 inf + 1
1.466 * * [simplify]: Extracting #3: cost 277 inf + 210
1.478 * * [simplify]: Extracting #4: cost 283 inf + 2300
1.491 * * [simplify]: Extracting #5: cost 183 inf + 26485
1.517 * * [simplify]: Extracting #6: cost 74 inf + 97550
1.556 * * [simplify]: Extracting #7: cost 0 inf + 165315
1.624 * * [simplify]: Extracting #8: cost 0 inf + 165195
1.688 * [simplify]: Simplified to (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))
1.695 * * [progress]: iteration 1 / 4
1.695 * * * [progress]: picking best candidate
1.701 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))>
1.701 * * * [progress]: localizing error
1.743 * * * [progress]: generating rewritten candidates
1.743 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.768 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.793 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.819 * * * [progress]: generating series expansions
1.819 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.820 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1.820 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1.820 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1.820 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1.820 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1.820 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
1.820 * [taylor]: Taking taylor expansion of 1/2 in k
1.820 * [backup-simplify]: Simplify 1/2 into 1/2
1.820 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.820 * [taylor]: Taking taylor expansion of 1 in k
1.820 * [backup-simplify]: Simplify 1 into 1
1.820 * [taylor]: Taking taylor expansion of k in k
1.820 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify 1 into 1
1.821 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.821 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.821 * [taylor]: Taking taylor expansion of 2 in k
1.821 * [backup-simplify]: Simplify 2 into 2
1.821 * [taylor]: Taking taylor expansion of (* n PI) in k
1.821 * [taylor]: Taking taylor expansion of n in k
1.821 * [backup-simplify]: Simplify n into n
1.821 * [taylor]: Taking taylor expansion of PI in k
1.821 * [backup-simplify]: Simplify PI into PI
1.821 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.821 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.821 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.821 * [backup-simplify]: Simplify (- 0) into 0
1.822 * [backup-simplify]: Simplify (+ 1 0) into 1
1.822 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.823 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.823 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.823 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.823 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.823 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.823 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.823 * [taylor]: Taking taylor expansion of 1/2 in n
1.823 * [backup-simplify]: Simplify 1/2 into 1/2
1.823 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.823 * [taylor]: Taking taylor expansion of 1 in n
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [taylor]: Taking taylor expansion of k in n
1.823 * [backup-simplify]: Simplify k into k
1.823 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.823 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.823 * [taylor]: Taking taylor expansion of 2 in n
1.823 * [backup-simplify]: Simplify 2 into 2
1.823 * [taylor]: Taking taylor expansion of (* n PI) in n
1.823 * [taylor]: Taking taylor expansion of n in n
1.823 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify 1 into 1
1.823 * [taylor]: Taking taylor expansion of PI in n
1.823 * [backup-simplify]: Simplify PI into PI
1.824 * [backup-simplify]: Simplify (* 0 PI) into 0
1.824 * [backup-simplify]: Simplify (* 2 0) into 0
1.826 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.828 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.829 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.829 * [backup-simplify]: Simplify (- k) into (- k)
1.829 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.829 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.830 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.832 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.833 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.833 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1.833 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1.833 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1.833 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
1.833 * [taylor]: Taking taylor expansion of 1/2 in n
1.833 * [backup-simplify]: Simplify 1/2 into 1/2
1.833 * [taylor]: Taking taylor expansion of (- 1 k) in n
1.833 * [taylor]: Taking taylor expansion of 1 in n
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [taylor]: Taking taylor expansion of k in n
1.833 * [backup-simplify]: Simplify k into k
1.833 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.833 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.833 * [taylor]: Taking taylor expansion of 2 in n
1.833 * [backup-simplify]: Simplify 2 into 2
1.833 * [taylor]: Taking taylor expansion of (* n PI) in n
1.833 * [taylor]: Taking taylor expansion of n in n
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [taylor]: Taking taylor expansion of PI in n
1.833 * [backup-simplify]: Simplify PI into PI
1.834 * [backup-simplify]: Simplify (* 0 PI) into 0
1.834 * [backup-simplify]: Simplify (* 2 0) into 0
1.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.837 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.839 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.839 * [backup-simplify]: Simplify (- k) into (- k)
1.839 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
1.839 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.841 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1.843 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
1.843 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1.843 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1.843 * [taylor]: Taking taylor expansion of 1/2 in k
1.843 * [backup-simplify]: Simplify 1/2 into 1/2
1.843 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1.843 * [taylor]: Taking taylor expansion of (- 1 k) in k
1.843 * [taylor]: Taking taylor expansion of 1 in k
1.843 * [backup-simplify]: Simplify 1 into 1
1.843 * [taylor]: Taking taylor expansion of k in k
1.843 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify 1 into 1
1.843 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.843 * [taylor]: Taking taylor expansion of (log n) in k
1.843 * [taylor]: Taking taylor expansion of n in k
1.843 * [backup-simplify]: Simplify n into n
1.843 * [backup-simplify]: Simplify (log n) into (log n)
1.843 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.843 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.843 * [taylor]: Taking taylor expansion of 2 in k
1.843 * [backup-simplify]: Simplify 2 into 2
1.843 * [taylor]: Taking taylor expansion of PI in k
1.843 * [backup-simplify]: Simplify PI into PI
1.844 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.845 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.846 * [backup-simplify]: Simplify (- 0) into 0
1.846 * [backup-simplify]: Simplify (+ 1 0) into 1
1.847 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.848 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1.849 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.850 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.852 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.856 * [backup-simplify]: Simplify (- 0) into 0
1.856 * [backup-simplify]: Simplify (+ 0 0) into 0
1.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1.858 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.861 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.861 * [taylor]: Taking taylor expansion of 0 in k
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1.866 * [backup-simplify]: Simplify (- 1) into -1
1.866 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1.874 * [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)))))
1.877 * [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)))))))
1.879 * [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)))))))
1.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.885 * [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
1.886 * [backup-simplify]: Simplify (- 0) into 0
1.886 * [backup-simplify]: Simplify (+ 0 0) into 0
1.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.890 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.892 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.892 * [taylor]: Taking taylor expansion of 0 in k
1.892 * [backup-simplify]: Simplify 0 into 0
1.892 * [backup-simplify]: Simplify 0 into 0
1.892 * [backup-simplify]: Simplify 0 into 0
1.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.896 * [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
1.896 * [backup-simplify]: Simplify (+ 0 0) into 0
1.897 * [backup-simplify]: Simplify (- 0) into 0
1.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.902 * [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)))))
1.905 * [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)))))
1.911 * [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)))))
1.912 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (* (- 1 (/ 1 k)) 1/2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1.912 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1.912 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1.912 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1.912 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1.912 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1.912 * [taylor]: Taking taylor expansion of 1/2 in k
1.912 * [backup-simplify]: Simplify 1/2 into 1/2
1.912 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.912 * [taylor]: Taking taylor expansion of 1 in k
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.912 * [taylor]: Taking taylor expansion of k in k
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 1 into 1
1.912 * [backup-simplify]: Simplify (/ 1 1) into 1
1.912 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1.912 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1.912 * [taylor]: Taking taylor expansion of 2 in k
1.912 * [backup-simplify]: Simplify 2 into 2
1.912 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.912 * [taylor]: Taking taylor expansion of PI in k
1.912 * [backup-simplify]: Simplify PI into PI
1.912 * [taylor]: Taking taylor expansion of n in k
1.913 * [backup-simplify]: Simplify n into n
1.913 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.913 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1.913 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1.913 * [backup-simplify]: Simplify (- 1) into -1
1.913 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.913 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
1.914 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1.914 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1.914 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.914 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.914 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.914 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.914 * [taylor]: Taking taylor expansion of 1/2 in n
1.914 * [backup-simplify]: Simplify 1/2 into 1/2
1.914 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.914 * [taylor]: Taking taylor expansion of 1 in n
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.914 * [taylor]: Taking taylor expansion of k in n
1.914 * [backup-simplify]: Simplify k into k
1.914 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.914 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.914 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.914 * [taylor]: Taking taylor expansion of 2 in n
1.914 * [backup-simplify]: Simplify 2 into 2
1.914 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.914 * [taylor]: Taking taylor expansion of PI in n
1.914 * [backup-simplify]: Simplify PI into PI
1.914 * [taylor]: Taking taylor expansion of n in n
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (/ PI 1) into PI
1.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.915 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.915 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.915 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.915 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.917 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.918 * [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)))))
1.918 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1.918 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1.918 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1.918 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1.918 * [taylor]: Taking taylor expansion of 1/2 in n
1.918 * [backup-simplify]: Simplify 1/2 into 1/2
1.918 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
1.918 * [taylor]: Taking taylor expansion of 1 in n
1.918 * [backup-simplify]: Simplify 1 into 1
1.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.918 * [taylor]: Taking taylor expansion of k in n
1.918 * [backup-simplify]: Simplify k into k
1.918 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.918 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1.918 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1.918 * [taylor]: Taking taylor expansion of 2 in n
1.918 * [backup-simplify]: Simplify 2 into 2
1.918 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.918 * [taylor]: Taking taylor expansion of PI in n
1.918 * [backup-simplify]: Simplify PI into PI
1.918 * [taylor]: Taking taylor expansion of n in n
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (/ PI 1) into PI
1.919 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.919 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.919 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
1.919 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1.919 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.921 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1.922 * [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)))))
1.922 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1.922 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1.922 * [taylor]: Taking taylor expansion of 1/2 in k
1.922 * [backup-simplify]: Simplify 1/2 into 1/2
1.922 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1.922 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
1.922 * [taylor]: Taking taylor expansion of 1 in k
1.922 * [backup-simplify]: Simplify 1 into 1
1.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.922 * [taylor]: Taking taylor expansion of k in k
1.922 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 1 into 1
1.923 * [backup-simplify]: Simplify (/ 1 1) into 1
1.923 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1.923 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.923 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.923 * [taylor]: Taking taylor expansion of 2 in k
1.923 * [backup-simplify]: Simplify 2 into 2
1.923 * [taylor]: Taking taylor expansion of PI in k
1.923 * [backup-simplify]: Simplify PI into PI
1.924 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.924 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.925 * [taylor]: Taking taylor expansion of (log n) in k
1.925 * [taylor]: Taking taylor expansion of n in k
1.925 * [backup-simplify]: Simplify n into n
1.925 * [backup-simplify]: Simplify (log n) into (log n)
1.925 * [backup-simplify]: Simplify (- 1) into -1
1.925 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.925 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.926 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1.927 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1.929 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1.930 * [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)))))
1.931 * [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)))))
1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.935 * [backup-simplify]: Simplify (- 0) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1.938 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.939 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.941 * [taylor]: Taking taylor expansion of 0 in k
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.946 * [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
1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.947 * [backup-simplify]: Simplify (- 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1.950 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.951 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1.954 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.954 * [taylor]: Taking taylor expansion of 0 in k
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 0 into 0
1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1.962 * [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
1.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1.963 * [backup-simplify]: Simplify (- 0) into 0
1.963 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1.968 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1.971 * [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
1.971 * [taylor]: Taking taylor expansion of 0 in k
1.971 * [backup-simplify]: Simplify 0 into 0
1.971 * [backup-simplify]: Simplify 0 into 0
1.972 * [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))))))
1.973 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (* (- 1 (/ 1 (- k))) 1/2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1.973 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1.973 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1.973 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1.973 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1.973 * [taylor]: Taking taylor expansion of 1/2 in k
1.973 * [backup-simplify]: Simplify 1/2 into 1/2
1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.973 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.973 * [taylor]: Taking taylor expansion of k in k
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (/ 1 1) into 1
1.974 * [taylor]: Taking taylor expansion of 1 in k
1.974 * [backup-simplify]: Simplify 1 into 1
1.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1.974 * [taylor]: Taking taylor expansion of -2 in k
1.974 * [backup-simplify]: Simplify -2 into -2
1.974 * [taylor]: Taking taylor expansion of (/ PI n) in k
1.974 * [taylor]: Taking taylor expansion of PI in k
1.974 * [backup-simplify]: Simplify PI into PI
1.974 * [taylor]: Taking taylor expansion of n in k
1.974 * [backup-simplify]: Simplify n into n
1.974 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1.974 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1.974 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1.975 * [backup-simplify]: Simplify (+ 1 0) into 1
1.975 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1.975 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1.976 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1.976 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.976 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.976 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.976 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.976 * [taylor]: Taking taylor expansion of 1/2 in n
1.976 * [backup-simplify]: Simplify 1/2 into 1/2
1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.976 * [taylor]: Taking taylor expansion of k in n
1.976 * [backup-simplify]: Simplify k into k
1.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.976 * [taylor]: Taking taylor expansion of 1 in n
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.976 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.976 * [taylor]: Taking taylor expansion of -2 in n
1.976 * [backup-simplify]: Simplify -2 into -2
1.976 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.976 * [taylor]: Taking taylor expansion of PI in n
1.976 * [backup-simplify]: Simplify PI into PI
1.976 * [taylor]: Taking taylor expansion of n in n
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (/ PI 1) into PI
1.977 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.978 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.978 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.979 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.980 * [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 (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1.982 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1.982 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1.983 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1.983 * [taylor]: Taking taylor expansion of 1/2 in n
1.983 * [backup-simplify]: Simplify 1/2 into 1/2
1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
1.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1.983 * [taylor]: Taking taylor expansion of k in n
1.983 * [backup-simplify]: Simplify k into k
1.983 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1.983 * [taylor]: Taking taylor expansion of 1 in n
1.983 * [backup-simplify]: Simplify 1 into 1
1.983 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1.983 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1.983 * [taylor]: Taking taylor expansion of -2 in n
1.983 * [backup-simplify]: Simplify -2 into -2
1.983 * [taylor]: Taking taylor expansion of (/ PI n) in n
1.983 * [taylor]: Taking taylor expansion of PI in n
1.983 * [backup-simplify]: Simplify PI into PI
1.983 * [taylor]: Taking taylor expansion of n in n
1.983 * [backup-simplify]: Simplify 0 into 0
1.983 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (/ PI 1) into PI
1.984 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.985 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.985 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1.985 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1.987 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
1.987 * [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)))))
1.987 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1.987 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1.987 * [taylor]: Taking taylor expansion of 1/2 in k
1.987 * [backup-simplify]: Simplify 1/2 into 1/2
1.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
1.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1.988 * [taylor]: Taking taylor expansion of k in k
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [backup-simplify]: Simplify (/ 1 1) into 1
1.988 * [taylor]: Taking taylor expansion of 1 in k
1.988 * [backup-simplify]: Simplify 1 into 1
1.988 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1.988 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1.988 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1.988 * [taylor]: Taking taylor expansion of -2 in k
1.988 * [backup-simplify]: Simplify -2 into -2
1.988 * [taylor]: Taking taylor expansion of PI in k
1.988 * [backup-simplify]: Simplify PI into PI
1.988 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1.989 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1.989 * [taylor]: Taking taylor expansion of (log n) in k
1.989 * [taylor]: Taking taylor expansion of n in k
1.989 * [backup-simplify]: Simplify n into n
1.989 * [backup-simplify]: Simplify (log n) into (log n)
1.989 * [backup-simplify]: Simplify (+ 1 0) into 1
1.989 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1.990 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1.990 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1.991 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1.992 * [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)))))
1.997 * [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)))))
1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
2.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.001 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.003 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.003 * [taylor]: Taking taylor expansion of 0 in k
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [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))
2.008 * [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
2.011 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.017 * [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
2.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.018 * [backup-simplify]: Simplify (+ 0 0) into 0
2.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
2.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.022 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.025 * [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
2.025 * [taylor]: Taking taylor expansion of 0 in k
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.026 * [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))))))
2.027 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.027 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.027 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.027 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.027 * [taylor]: Taking taylor expansion of 2 in n
2.027 * [backup-simplify]: Simplify 2 into 2
2.027 * [taylor]: Taking taylor expansion of (* n PI) in n
2.027 * [taylor]: Taking taylor expansion of n in n
2.027 * [backup-simplify]: Simplify 0 into 0
2.027 * [backup-simplify]: Simplify 1 into 1
2.027 * [taylor]: Taking taylor expansion of PI in n
2.027 * [backup-simplify]: Simplify PI into PI
2.027 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.027 * [taylor]: Taking taylor expansion of 2 in n
2.027 * [backup-simplify]: Simplify 2 into 2
2.027 * [taylor]: Taking taylor expansion of (* n PI) in n
2.028 * [taylor]: Taking taylor expansion of n in n
2.028 * [backup-simplify]: Simplify 0 into 0
2.028 * [backup-simplify]: Simplify 1 into 1
2.028 * [taylor]: Taking taylor expansion of PI in n
2.028 * [backup-simplify]: Simplify PI into PI
2.028 * [backup-simplify]: Simplify (* 0 PI) into 0
2.029 * [backup-simplify]: Simplify (* 2 0) into 0
2.029 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.032 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.032 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.034 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.037 * [backup-simplify]: Simplify 0 into 0
2.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.040 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.043 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.052 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.052 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.052 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.052 * [taylor]: Taking taylor expansion of 2 in n
2.052 * [backup-simplify]: Simplify 2 into 2
2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.052 * [taylor]: Taking taylor expansion of PI in n
2.052 * [backup-simplify]: Simplify PI into PI
2.052 * [taylor]: Taking taylor expansion of n in n
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [backup-simplify]: Simplify (/ PI 1) into PI
2.052 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.052 * [taylor]: Taking taylor expansion of 2 in n
2.052 * [backup-simplify]: Simplify 2 into 2
2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.052 * [taylor]: Taking taylor expansion of PI in n
2.053 * [backup-simplify]: Simplify PI into PI
2.053 * [taylor]: Taking taylor expansion of n in n
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (/ PI 1) into PI
2.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.054 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.058 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.060 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.063 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.066 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.069 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.069 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.070 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.070 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.070 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.070 * [taylor]: Taking taylor expansion of -2 in n
2.070 * [backup-simplify]: Simplify -2 into -2
2.070 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.070 * [taylor]: Taking taylor expansion of PI in n
2.070 * [backup-simplify]: Simplify PI into PI
2.070 * [taylor]: Taking taylor expansion of n in n
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.071 * [backup-simplify]: Simplify (/ PI 1) into PI
2.071 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.071 * [taylor]: Taking taylor expansion of -2 in n
2.071 * [backup-simplify]: Simplify -2 into -2
2.071 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.071 * [taylor]: Taking taylor expansion of PI in n
2.071 * [backup-simplify]: Simplify PI into PI
2.071 * [taylor]: Taking taylor expansion of n in n
2.071 * [backup-simplify]: Simplify 0 into 0
2.071 * [backup-simplify]: Simplify 1 into 1
2.072 * [backup-simplify]: Simplify (/ PI 1) into PI
2.072 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.073 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.075 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.075 * [backup-simplify]: Simplify 0 into 0
2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.077 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.079 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.082 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.082 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [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
2.086 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.086 * [backup-simplify]: Simplify 0 into 0
2.087 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.087 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.087 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
2.087 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
2.087 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
2.087 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
2.087 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
2.087 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
2.087 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
2.087 * [taylor]: Taking taylor expansion of 1/2 in k
2.087 * [backup-simplify]: Simplify 1/2 into 1/2
2.087 * [taylor]: Taking taylor expansion of (- 1 k) in k
2.087 * [taylor]: Taking taylor expansion of 1 in k
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [taylor]: Taking taylor expansion of k in k
2.088 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify 1 into 1
2.088 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.088 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.088 * [taylor]: Taking taylor expansion of 2 in k
2.088 * [backup-simplify]: Simplify 2 into 2
2.088 * [taylor]: Taking taylor expansion of (* n PI) in k
2.088 * [taylor]: Taking taylor expansion of n in k
2.088 * [backup-simplify]: Simplify n into n
2.088 * [taylor]: Taking taylor expansion of PI in k
2.088 * [backup-simplify]: Simplify PI into PI
2.088 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.088 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.088 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.088 * [backup-simplify]: Simplify (- 0) into 0
2.088 * [backup-simplify]: Simplify (+ 1 0) into 1
2.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.089 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.089 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.089 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.089 * [taylor]: Taking taylor expansion of k in k
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 1 into 1
2.089 * [backup-simplify]: Simplify (/ 1 1) into 1
2.089 * [backup-simplify]: Simplify (sqrt 0) into 0
2.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.091 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
2.091 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
2.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
2.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
2.091 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
2.091 * [taylor]: Taking taylor expansion of 1/2 in n
2.091 * [backup-simplify]: Simplify 1/2 into 1/2
2.091 * [taylor]: Taking taylor expansion of (- 1 k) in n
2.091 * [taylor]: Taking taylor expansion of 1 in n
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [taylor]: Taking taylor expansion of k in n
2.091 * [backup-simplify]: Simplify k into k
2.091 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.091 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.091 * [taylor]: Taking taylor expansion of 2 in n
2.091 * [backup-simplify]: Simplify 2 into 2
2.091 * [taylor]: Taking taylor expansion of (* n PI) in n
2.091 * [taylor]: Taking taylor expansion of n in n
2.091 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify 1 into 1
2.091 * [taylor]: Taking taylor expansion of PI in n
2.091 * [backup-simplify]: Simplify PI into PI
2.091 * [backup-simplify]: Simplify (* 0 PI) into 0
2.091 * [backup-simplify]: Simplify (* 2 0) into 0
2.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.093 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.094 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.094 * [backup-simplify]: Simplify (- k) into (- k)
2.094 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
2.094 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
2.095 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.096 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
2.096 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
2.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.096 * [taylor]: Taking taylor expansion of k in n
2.096 * [backup-simplify]: Simplify k into k
2.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.096 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.097 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
2.097 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
2.097 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
2.097 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
2.097 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
2.097 * [taylor]: Taking taylor expansion of 1/2 in n
2.097 * [backup-simplify]: Simplify 1/2 into 1/2
2.097 * [taylor]: Taking taylor expansion of (- 1 k) in n
2.097 * [taylor]: Taking taylor expansion of 1 in n
2.097 * [backup-simplify]: Simplify 1 into 1
2.097 * [taylor]: Taking taylor expansion of k in n
2.097 * [backup-simplify]: Simplify k into k
2.097 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.097 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.097 * [taylor]: Taking taylor expansion of 2 in n
2.097 * [backup-simplify]: Simplify 2 into 2
2.097 * [taylor]: Taking taylor expansion of (* n PI) in n
2.097 * [taylor]: Taking taylor expansion of n in n
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 1 into 1
2.097 * [taylor]: Taking taylor expansion of PI in n
2.097 * [backup-simplify]: Simplify PI into PI
2.097 * [backup-simplify]: Simplify (* 0 PI) into 0
2.097 * [backup-simplify]: Simplify (* 2 0) into 0
2.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.099 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.100 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.100 * [backup-simplify]: Simplify (- k) into (- k)
2.100 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
2.100 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
2.101 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.102 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
2.102 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
2.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.102 * [taylor]: Taking taylor expansion of k in n
2.102 * [backup-simplify]: Simplify k into k
2.102 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.102 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.103 * [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)))
2.103 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
2.103 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
2.103 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
2.103 * [taylor]: Taking taylor expansion of 1/2 in k
2.104 * [backup-simplify]: Simplify 1/2 into 1/2
2.104 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
2.104 * [taylor]: Taking taylor expansion of (- 1 k) in k
2.104 * [taylor]: Taking taylor expansion of 1 in k
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of k in k
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.104 * [taylor]: Taking taylor expansion of (log n) in k
2.104 * [taylor]: Taking taylor expansion of n in k
2.104 * [backup-simplify]: Simplify n into n
2.104 * [backup-simplify]: Simplify (log n) into (log n)
2.104 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.104 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.104 * [taylor]: Taking taylor expansion of 2 in k
2.104 * [backup-simplify]: Simplify 2 into 2
2.104 * [taylor]: Taking taylor expansion of PI in k
2.104 * [backup-simplify]: Simplify PI into PI
2.104 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.105 * [backup-simplify]: Simplify (- 0) into 0
2.105 * [backup-simplify]: Simplify (+ 1 0) into 1
2.106 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.106 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
2.107 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.108 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.108 * [taylor]: Taking taylor expansion of k in k
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [backup-simplify]: Simplify (/ 1 1) into 1
2.108 * [backup-simplify]: Simplify (sqrt 0) into 0
2.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.110 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.111 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.113 * [backup-simplify]: Simplify (- 0) into 0
2.113 * [backup-simplify]: Simplify (+ 0 0) into 0
2.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
2.121 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.123 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.125 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.126 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
2.126 * [taylor]: Taking taylor expansion of 0 in k
2.126 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.130 * [backup-simplify]: Simplify (+ 0 0) into 0
2.131 * [backup-simplify]: Simplify (- 1) into -1
2.131 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.133 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
2.135 * [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)))))))
2.142 * [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
2.144 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.145 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.149 * [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
2.149 * [backup-simplify]: Simplify (- 0) into 0
2.150 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
2.152 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.154 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.156 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.158 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
2.158 * [taylor]: Taking taylor expansion of 0 in k
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 0 into 0
2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.165 * [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
2.165 * [backup-simplify]: Simplify (+ 0 0) into 0
2.166 * [backup-simplify]: Simplify (- 0) into 0
2.166 * [backup-simplify]: Simplify (+ 0 0) into 0
2.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.171 * [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)))))
2.176 * [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))))))))
2.179 * [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))))))))
2.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.185 * [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
2.185 * [backup-simplify]: Simplify (- 0) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
2.187 * [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
2.190 * [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
2.192 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
2.192 * [taylor]: Taking taylor expansion of 0 in k
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.200 * [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
2.201 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.207 * [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
2.208 * [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)))))))
2.237 * [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))))))))))))))
2.255 * [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))))))))))))))
2.273 * [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))))))))))))))))))))))
2.274 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (* (- 1 (/ 1 k)) 1/2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
2.274 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
2.274 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
2.274 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
2.274 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.274 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.274 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
2.274 * [taylor]: Taking taylor expansion of 1/2 in k
2.274 * [backup-simplify]: Simplify 1/2 into 1/2
2.274 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.274 * [taylor]: Taking taylor expansion of 1 in k
2.274 * [backup-simplify]: Simplify 1 into 1
2.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.274 * [taylor]: Taking taylor expansion of k in k
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.275 * [backup-simplify]: Simplify (/ 1 1) into 1
2.275 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.275 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.275 * [taylor]: Taking taylor expansion of 2 in k
2.275 * [backup-simplify]: Simplify 2 into 2
2.275 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.275 * [taylor]: Taking taylor expansion of PI in k
2.275 * [backup-simplify]: Simplify PI into PI
2.275 * [taylor]: Taking taylor expansion of n in k
2.275 * [backup-simplify]: Simplify n into n
2.275 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.275 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.275 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.276 * [backup-simplify]: Simplify (- 1) into -1
2.276 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.277 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
2.277 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.277 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
2.277 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.277 * [taylor]: Taking taylor expansion of k in k
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.278 * [backup-simplify]: Simplify (sqrt 0) into 0
2.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.279 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.279 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.279 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.280 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.280 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.280 * [taylor]: Taking taylor expansion of 1/2 in n
2.280 * [backup-simplify]: Simplify 1/2 into 1/2
2.280 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.280 * [taylor]: Taking taylor expansion of 1 in n
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.280 * [taylor]: Taking taylor expansion of k in n
2.280 * [backup-simplify]: Simplify k into k
2.280 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.280 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.280 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.280 * [taylor]: Taking taylor expansion of 2 in n
2.280 * [backup-simplify]: Simplify 2 into 2
2.280 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.280 * [taylor]: Taking taylor expansion of PI in n
2.280 * [backup-simplify]: Simplify PI into PI
2.280 * [taylor]: Taking taylor expansion of n in n
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify 1 into 1
2.280 * [backup-simplify]: Simplify (/ PI 1) into PI
2.281 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.282 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.282 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.282 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.282 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.285 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.286 * [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)))))
2.286 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.286 * [taylor]: Taking taylor expansion of k in n
2.286 * [backup-simplify]: Simplify k into k
2.286 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.286 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
2.286 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
2.286 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.286 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.286 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
2.286 * [taylor]: Taking taylor expansion of 1/2 in n
2.286 * [backup-simplify]: Simplify 1/2 into 1/2
2.286 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
2.286 * [taylor]: Taking taylor expansion of 1 in n
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.287 * [taylor]: Taking taylor expansion of k in n
2.287 * [backup-simplify]: Simplify k into k
2.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.287 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.287 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.287 * [taylor]: Taking taylor expansion of 2 in n
2.287 * [backup-simplify]: Simplify 2 into 2
2.287 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.287 * [taylor]: Taking taylor expansion of PI in n
2.287 * [backup-simplify]: Simplify PI into PI
2.287 * [taylor]: Taking taylor expansion of n in n
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 1 into 1
2.288 * [backup-simplify]: Simplify (/ PI 1) into PI
2.288 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.289 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.289 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
2.289 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
2.289 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
2.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.291 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
2.291 * [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)))))
2.291 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.292 * [taylor]: Taking taylor expansion of k in n
2.292 * [backup-simplify]: Simplify k into k
2.292 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.292 * [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))
2.292 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
2.292 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
2.292 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
2.292 * [taylor]: Taking taylor expansion of 1/2 in k
2.292 * [backup-simplify]: Simplify 1/2 into 1/2
2.293 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
2.293 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
2.293 * [taylor]: Taking taylor expansion of 1 in k
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.293 * [taylor]: Taking taylor expansion of k in k
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (/ 1 1) into 1
2.293 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.293 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.293 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.293 * [taylor]: Taking taylor expansion of 2 in k
2.293 * [backup-simplify]: Simplify 2 into 2
2.293 * [taylor]: Taking taylor expansion of PI in k
2.293 * [backup-simplify]: Simplify PI into PI
2.293 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.294 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.294 * [taylor]: Taking taylor expansion of (log n) in k
2.294 * [taylor]: Taking taylor expansion of n in k
2.294 * [backup-simplify]: Simplify n into n
2.294 * [backup-simplify]: Simplify (log n) into (log n)
2.294 * [backup-simplify]: Simplify (- 1) into -1
2.294 * [backup-simplify]: Simplify (+ 0 -1) into -1
2.295 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.295 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.296 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
2.296 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.297 * [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)))))
2.297 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.297 * [taylor]: Taking taylor expansion of k in k
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify (sqrt 0) into 0
2.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.299 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
2.299 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.302 * [backup-simplify]: Simplify (- 0) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
2.303 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.304 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.305 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.306 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
2.306 * [taylor]: Taking taylor expansion of 0 in k
2.306 * [backup-simplify]: Simplify 0 into 0
2.306 * [backup-simplify]: Simplify 0 into 0
2.307 * [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)))))))
2.307 * [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)))))))
2.308 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.311 * [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
2.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.311 * [backup-simplify]: Simplify (- 0) into 0
2.311 * [backup-simplify]: Simplify (+ 0 0) into 0
2.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
2.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.314 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.315 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.316 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
2.316 * [taylor]: Taking taylor expansion of 0 in k
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.320 * [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)))))))
2.320 * [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)))))))
2.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.329 * [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
2.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.330 * [backup-simplify]: Simplify (- 0) into 0
2.330 * [backup-simplify]: Simplify (+ 0 0) into 0
2.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
2.333 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.335 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.338 * [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
2.340 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
2.341 * [taylor]: Taking taylor expansion of 0 in k
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.347 * [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)))))))
2.348 * [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)))))))
2.352 * [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))))))))
2.353 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (* (- 1 (/ 1 (- k))) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
2.353 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
2.353 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
2.353 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
2.353 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
2.353 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
2.353 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
2.353 * [taylor]: Taking taylor expansion of 1/2 in k
2.353 * [backup-simplify]: Simplify 1/2 into 1/2
2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.353 * [taylor]: Taking taylor expansion of k in k
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.354 * [backup-simplify]: Simplify (/ 1 1) into 1
2.354 * [taylor]: Taking taylor expansion of 1 in k
2.354 * [backup-simplify]: Simplify 1 into 1
2.354 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.354 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.354 * [taylor]: Taking taylor expansion of -2 in k
2.354 * [backup-simplify]: Simplify -2 into -2
2.354 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.354 * [taylor]: Taking taylor expansion of PI in k
2.354 * [backup-simplify]: Simplify PI into PI
2.354 * [taylor]: Taking taylor expansion of n in k
2.354 * [backup-simplify]: Simplify n into n
2.354 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.354 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.354 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.355 * [backup-simplify]: Simplify (+ 1 0) into 1
2.355 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.355 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.356 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
2.356 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.356 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.356 * [taylor]: Taking taylor expansion of -1 in k
2.356 * [backup-simplify]: Simplify -1 into -1
2.356 * [taylor]: Taking taylor expansion of k in k
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ -1 1) into -1
2.357 * [backup-simplify]: Simplify (sqrt 0) into 0
2.358 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.358 * [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)))))
2.358 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.358 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.358 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.359 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.359 * [taylor]: Taking taylor expansion of 1/2 in n
2.359 * [backup-simplify]: Simplify 1/2 into 1/2
2.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.359 * [taylor]: Taking taylor expansion of k in n
2.359 * [backup-simplify]: Simplify k into k
2.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.359 * [taylor]: Taking taylor expansion of 1 in n
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.359 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.359 * [taylor]: Taking taylor expansion of -2 in n
2.359 * [backup-simplify]: Simplify -2 into -2
2.359 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.359 * [taylor]: Taking taylor expansion of PI in n
2.359 * [backup-simplify]: Simplify PI into PI
2.359 * [taylor]: Taking taylor expansion of n in n
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (/ PI 1) into PI
2.360 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.361 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.361 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.361 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.364 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.370 * [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)))))
2.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.370 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.370 * [taylor]: Taking taylor expansion of -1 in n
2.370 * [backup-simplify]: Simplify -1 into -1
2.370 * [taylor]: Taking taylor expansion of k in n
2.370 * [backup-simplify]: Simplify k into k
2.370 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.370 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.370 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.371 * [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)))
2.371 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
2.371 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
2.371 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
2.372 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
2.372 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
2.372 * [taylor]: Taking taylor expansion of 1/2 in n
2.372 * [backup-simplify]: Simplify 1/2 into 1/2
2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
2.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.372 * [taylor]: Taking taylor expansion of k in n
2.372 * [backup-simplify]: Simplify k into k
2.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.372 * [taylor]: Taking taylor expansion of 1 in n
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.372 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.372 * [taylor]: Taking taylor expansion of -2 in n
2.372 * [backup-simplify]: Simplify -2 into -2
2.372 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.372 * [taylor]: Taking taylor expansion of PI in n
2.372 * [backup-simplify]: Simplify PI into PI
2.372 * [taylor]: Taking taylor expansion of n in n
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.373 * [backup-simplify]: Simplify (/ PI 1) into PI
2.373 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.374 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.374 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
2.374 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
2.376 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.377 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
2.378 * [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)))))
2.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.378 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.378 * [taylor]: Taking taylor expansion of -1 in n
2.378 * [backup-simplify]: Simplify -1 into -1
2.378 * [taylor]: Taking taylor expansion of k in n
2.378 * [backup-simplify]: Simplify k into k
2.378 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.378 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.379 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.380 * [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)))
2.380 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
2.380 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
2.380 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
2.380 * [taylor]: Taking taylor expansion of 1/2 in k
2.380 * [backup-simplify]: Simplify 1/2 into 1/2
2.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
2.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.380 * [taylor]: Taking taylor expansion of k in k
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (/ 1 1) into 1
2.381 * [taylor]: Taking taylor expansion of 1 in k
2.381 * [backup-simplify]: Simplify 1 into 1
2.381 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.381 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.381 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.381 * [taylor]: Taking taylor expansion of -2 in k
2.381 * [backup-simplify]: Simplify -2 into -2
2.381 * [taylor]: Taking taylor expansion of PI in k
2.381 * [backup-simplify]: Simplify PI into PI
2.381 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.382 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.382 * [taylor]: Taking taylor expansion of (log n) in k
2.382 * [taylor]: Taking taylor expansion of n in k
2.382 * [backup-simplify]: Simplify n into n
2.382 * [backup-simplify]: Simplify (log n) into (log n)
2.382 * [backup-simplify]: Simplify (+ 1 0) into 1
2.382 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.383 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.384 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
2.384 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.385 * [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)))))
2.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.385 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.385 * [taylor]: Taking taylor expansion of -1 in k
2.385 * [backup-simplify]: Simplify -1 into -1
2.385 * [taylor]: Taking taylor expansion of k in k
2.385 * [backup-simplify]: Simplify 0 into 0
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (/ -1 1) into -1
2.386 * [backup-simplify]: Simplify (sqrt 0) into 0
2.386 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.387 * [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))))))
2.388 * [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))))))
2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.389 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.390 * [backup-simplify]: Simplify (+ 0 0) into 0
2.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
2.392 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.392 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.393 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.394 * [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
2.394 * [taylor]: Taking taylor expansion of 0 in k
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.397 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.398 * [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)))))))
2.399 * [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)))))))
2.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.400 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.402 * [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
2.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.402 * [backup-simplify]: Simplify (+ 0 0) into 0
2.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.405 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.406 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.406 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.407 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.407 * [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
2.407 * [taylor]: Taking taylor expansion of 0 in k
2.407 * [backup-simplify]: Simplify 0 into 0
2.407 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.413 * [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)))))))
2.414 * [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)))))))
2.418 * [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))))))))))))
2.419 * * * [progress]: simplifying candidates
2.419 * * * * [progress]: [ 1 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 2 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 3 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 4 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 5 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 6 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 7 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 8 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) 1/2) (sqrt k)))>
2.419 * * * * [progress]: [ 9 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (* (- 1 k) 1/2)) (pow (* 2 PI) (* (- 1 k) 1/2))) (sqrt k)))>
2.419 * * * * [progress]: [ 10 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) 1) (sqrt k)))>
2.419 * * * * [progress]: [ 11 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.419 * * * * [progress]: [ 12 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.420 * * * * [progress]: [ 13 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.420 * * * * [progress]: [ 14 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.420 * * * * [progress]: [ 15 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.420 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k)))>
2.420 * * * * [progress]: [ 17 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2))) (sqrt k)))>
2.420 * * * * [progress]: [ 18 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
2.420 * * * * [progress]: [ 19 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 20 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 21 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 22 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 24 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 25 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.420 * * * * [progress]: [ 26 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 27 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 28 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 29 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 30 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 31 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 32 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 33 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 34 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 35 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 36 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 37 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (* (- 1 k) 1/2)) (sqrt k)))>
2.421 * * * * [progress]: [ 38 / 104 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)) 1))>
2.421 * * * * [progress]: [ 39 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
2.421 * * * * [progress]: [ 40 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
2.421 * * * * [progress]: [ 41 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
2.422 * * * * [progress]: [ 42 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
2.422 * * * * [progress]: [ 43 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (log (sqrt k)))))>
2.422 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.422 * * * * [progress]: [ 45 / 104 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.422 * * * * [progress]: [ 46 / 104 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.422 * * * * [progress]: [ 47 / 104 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.422 * * * * [progress]: [ 48 / 104 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.422 * * * * [progress]: [ 49 / 104 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.422 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (- (sqrt k))))>
2.422 * * * * [progress]: [ 51 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (cbrt (sqrt k)))))>
2.422 * * * * [progress]: [ 52 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (cbrt k)))))>
2.422 * * * * [progress]: [ 53 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
2.422 * * * * [progress]: [ 54 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) (sqrt 1)) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k))))>
2.422 * * * * [progress]: [ 55 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
2.422 * * * * [progress]: [ 56 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (* (- 1 k) 1/2)) 1) (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k))))>
2.423 * * * * [progress]: [ 57 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k)))))>
2.423 * * * * [progress]: [ 58 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k)))))>
2.423 * * * * [progress]: [ 59 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
2.423 * * * * [progress]: [ 60 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k))))>
2.423 * * * * [progress]: [ 61 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
2.423 * * * * [progress]: [ 62 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k))))>
2.423 * * * * [progress]: [ 63 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k)))))>
2.423 * * * * [progress]: [ 64 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k)))))>
2.423 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
2.423 * * * * [progress]: [ 66 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k))))>
2.423 * * * * [progress]: [ 67 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
2.423 * * * * [progress]: [ 68 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k))))>
2.423 * * * * [progress]: [ 69 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (cbrt (sqrt k)))))>
2.424 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (cbrt k)))))>
2.424 * * * * [progress]: [ 71 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
2.424 * * * * [progress]: [ 72 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))))>
2.424 * * * * [progress]: [ 73 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
2.424 * * * * [progress]: [ 74 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))))>
2.424 * * * * [progress]: [ 75 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (cbrt (sqrt k)))))>
2.424 * * * * [progress]: [ 76 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (cbrt k)))))>
2.424 * * * * [progress]: [ 77 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k)))))>
2.424 * * * * [progress]: [ 78 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k))))>
2.424 * * * * [progress]: [ 79 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k)))))>
2.424 * * * * [progress]: [ 80 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k))))>
2.424 * * * * [progress]: [ 81 / 104 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))))>
2.424 * * * * [progress]: [ 82 / 104 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (/ 1 (sqrt k))))>
2.424 * * * * [progress]: [ 83 / 104 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))))>
2.425 * * * * [progress]: [ 84 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.425 * * * * [progress]: [ 85 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.425 * * * * [progress]: [ 86 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.425 * * * * [progress]: [ 87 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt 1)) (sqrt k)))>
2.425 * * * * [progress]: [ 88 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.425 * * * * [progress]: [ 89 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) 1) (sqrt k)))>
2.425 * * * * [progress]: [ 90 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* 2 PI) (* (- 1 k) 1/2)))))>
2.425 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))))))>
2.425 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))))))>
2.425 * * * * [progress]: [ 93 / 104 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))))>
2.425 * * * * [progress]: [ 94 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)))))>
2.425 * * * * [progress]: [ 95 / 104 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
2.425 * * * * [progress]: [ 96 / 104 ] 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)))>
2.425 * * * * [progress]: [ 97 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
2.426 * * * * [progress]: [ 98 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
2.426 * * * * [progress]: [ 99 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
2.426 * * * * [progress]: [ 100 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
2.426 * * * * [progress]: [ 101 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
2.426 * * * * [progress]: [ 102 / 104 ] 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)))))))))))))))))))))))>
2.426 * * * * [progress]: [ 103 / 104 ] 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)))))))))>
2.426 * * * * [progress]: [ 104 / 104 ] 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)))))))))))))>
2.428 * [simplify]: Simplifying (* (+ (log n) (+ (log 2) (log PI))) (* (- 1 k) 1/2)), (* (+ (log n) (log (* 2 PI))) (* (- 1 k) 1/2)), (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)), (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (pow (* n (* 2 PI)) (- 1 k)), (pow n (* (- 1 k) 1/2)), (pow (* 2 PI) (* (- 1 k) 1/2)), (log (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (exp (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))), (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (* (* (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)), (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)), (real->posit16 (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (* 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) 1/2)) (log (sqrt k))), (- (* (+ (log n) (log (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* 2 PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (log (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (log (sqrt k))), (log (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (exp (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (/ (* (* (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)))), (cbrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (* (* (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (sqrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (sqrt (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k))), (- (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (- (sqrt k)), (/ (pow n (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ (pow n (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow n (* (- 1 k) 1/2)) (sqrt 1)), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow n (* (- 1 k) 1/2)) 1), (/ (pow (* 2 PI) (* (- 1 k) 1/2)) (sqrt k)), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt 1)), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))) 1), (/ (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (* (cbrt k) (cbrt k)))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt 1)), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) 1), (/ (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ 1 1), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (cbrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (cbrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt 1)), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k)), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) 1), (/ (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt 1)), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) 1), (/ (sqrt k) (pow (* 2 PI) (* (- 1 k) 1/2))), (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))), (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (* (- 1 k) 1/2)))), (/ (sqrt k) (pow (* n (* 2 PI)) (* (- 1 k) 1/2))), (/ (sqrt k) (pow (* n (* 2 PI)) (/ (* (- 1 k) 1/2) 2))), (real->posit16 (/ (pow (* n (* 2 PI)) (* (- 1 k) 1/2)) (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))))))))))))
2.433 * * [simplify]: iteration 1: (239 enodes)
2.550 * * [simplify]: iteration 2: (1017 enodes)
2.877 * * [simplify]: Extracting #0: cost 82 inf + 0
2.878 * * [simplify]: Extracting #1: cost 369 inf + 1
2.883 * * [simplify]: Extracting #2: cost 598 inf + 10298
2.906 * * [simplify]: Extracting #3: cost 482 inf + 86599
2.959 * * [simplify]: Extracting #4: cost 275 inf + 195662
3.011 * * [simplify]: Extracting #5: cost 169 inf + 249507
3.082 * * [simplify]: Extracting #6: cost 134 inf + 284603
3.169 * * [simplify]: Extracting #7: cost 54 inf + 339415
3.248 * * [simplify]: Extracting #8: cost 10 inf + 374683
3.365 * * [simplify]: Extracting #9: cost 2 inf + 379546
3.475 * * [simplify]: Extracting #10: cost 0 inf + 380902
3.575 * * [simplify]: Extracting #11: cost 0 inf + 380822
3.675 * [simplify]: Simplified to (* (log (* n (* PI 2))) (* (- 1 k) 1/2)), (* (log (* n (* PI 2))) (* (- 1 k) 1/2)), (* (log (* n (* PI 2))) (* (- 1 k) 1/2)), (* (log (* n (* PI 2))) (* (- 1 k) 1/2)), (* (- 1 k) 1/2), (* (- 1 k) 1/2), (* (- 1 k) 1/2), (pow (* n (* PI 2)) (- 1 k)), (pow n (* (- 1 k) 1/2)), (pow (* PI 2) (* (- 1 k) 1/2)), (* (log (* n (* PI 2))) (* (- 1 k) 1/2)), (exp (pow (* n (* PI 2)) (/ (- 1 k) 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 (pow (* n (* PI 2)) (/ (- 1 k) 2)) 3), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (pow (* n (* PI 2)) (/ (- 1 k) 4)), (pow (* n (* PI 2)) (/ (- 1 k) 4)), (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), (* 2 (* PI (cbrt n))), (* (sqrt n) (* PI 2)), (* n (* PI 2)), (real->posit16 (* n (* PI 2))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* n (* PI 2))) (* (- 1 k) 1/2)) (log (sqrt k))), (exp (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))), (/ (/ (pow (pow (* n (* PI 2)) (/ (- 1 k) 2)) 3) k) (sqrt k)), (* (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))), (cbrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))), (/ (* (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))) (sqrt k)), (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))), (sqrt (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))), (- (pow (* n (* PI 2)) (/ (- 1 k) 2))), (- (sqrt k)), (/ (pow n (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ (pow n (* (- 1 k) 1/2)) (fabs (cbrt k))), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow n (* (- 1 k) 1/2)), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow n (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow n (* (- 1 k) 1/2)), (/ (pow (* PI 2) (* (- 1 k) 1/2)) (sqrt k)), (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k)))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))), (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)), (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (sqrt k))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (fabs (cbrt k))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (cbrt k))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), 1, (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), 1, (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)), (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (cbrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (fabs (cbrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (cbrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* n (* PI 2)) (/ (- 1 k) 4)), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt k)), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* n (* PI 2)) (/ (- 1 k) 4)), (/ (pow (* n (* PI 2)) (/ (- 1 k) 4)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (fabs (cbrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* n (* PI 2)) (/ (- 1 k) 2)), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), (pow (* n (* PI 2)) (/ (- 1 k) 2)), (/ (sqrt k) (pow (* PI 2) (* (- 1 k) 1/2))), (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 4))), (real->posit16 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))), (- (+ (+ (* (* (* (log (* PI 2)) 1/4) (* (exp (* 1/2 (log (* n (* PI 2))))) (log n))) (* k k)) (* (* (exp (* 1/2 (log (* n (* PI 2))))) 1/8) (* (* (log n) k) (* (log n) k)))) (+ (exp (* 1/2 (log (* n (* PI 2))))) (* (* (log (* PI 2)) (log (* PI 2))) (* (* (exp (* 1/2 (log (* n (* PI 2))))) (* k k)) 1/8)))) (* (* k (+ (* (exp (* 1/2 (log (* n (* PI 2))))) (log n)) (* (exp (* 1/2 (log (* n (* PI 2))))) (log (* PI 2))))) 1/2)), (exp (* (log (* n (* PI 2))) (* (- 1 k) 1/2))), (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))), (* n (* PI 2)), (* n (* PI 2)), (* n (* PI 2)), (- (* (- +nan.0) (* (* (log (* PI 2)) (* (* k k) (log n))) (exp (* 1/2 (log (* n (* PI 2))))))) (+ (* (* (log (* PI 2)) (* (exp (* 1/2 (log (* n (* PI 2))))) (* k k))) (- +nan.0)) (+ (- (* +nan.0 (* (* (* (log n) k) (* (log n) k)) (exp (* 1/2 (log (* n (* PI 2))))))) (* +nan.0 (* (exp (* 1/2 (log (* n (* PI 2))))) k))) (+ (- (* (exp (* 1/2 (log (* n (* PI 2))))) +nan.0) (* (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/2 (log (* n (* PI 2))))) (* k k))) +nan.0)) (- (* (* (exp (* 1/2 (log (* n (* PI 2))))) (log n)) (* (* k k) +nan.0)) (- (* (exp (* 1/2 (log (* n (* PI 2))))) (* (* k k) +nan.0)) (- (* (* (log (* PI 2)) +nan.0) (* (exp (* 1/2 (log (* n (* PI 2))))) k)) (* +nan.0 (* (* (exp (* 1/2 (log (* n (* PI 2))))) (log n)) k))))))))), (+ (* +nan.0 (- (/ (exp (* (log (* n (* PI 2))) (* (- 1 k) 1/2))) (* k k)) (/ (/ (exp (* (log (* n (* PI 2))) (* (- 1 k) 1/2))) k) (* k k)))) (* (- +nan.0) (/ (exp (* (log (* n (* PI 2))) (* (- 1 k) 1/2))) k))), (+ (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) (/ k +nan.0))) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))))))
3.683 * * * [progress]: adding candidates to table
4.872 * * [progress]: iteration 2 / 4
4.872 * * * [progress]: picking best candidate
4.916 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
4.916 * * * [progress]: localizing error
4.942 * * * [progress]: generating rewritten candidates
4.942 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
4.954 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1 2)
4.960 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
4.973 * * * [progress]: generating series expansions
4.974 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
4.974 * [backup-simplify]: Simplify (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
4.974 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
4.974 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.974 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.974 * [taylor]: Taking taylor expansion of 1/2 in k
4.974 * [backup-simplify]: Simplify 1/2 into 1/2
4.974 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.974 * [taylor]: Taking taylor expansion of 1 in k
4.974 * [backup-simplify]: Simplify 1 into 1
4.974 * [taylor]: Taking taylor expansion of k in k
4.974 * [backup-simplify]: Simplify 0 into 0
4.974 * [backup-simplify]: Simplify 1 into 1
4.974 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.974 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.974 * [taylor]: Taking taylor expansion of 2 in k
4.974 * [backup-simplify]: Simplify 2 into 2
4.974 * [taylor]: Taking taylor expansion of (* n PI) in k
4.974 * [taylor]: Taking taylor expansion of n in k
4.974 * [backup-simplify]: Simplify n into n
4.974 * [taylor]: Taking taylor expansion of PI in k
4.974 * [backup-simplify]: Simplify PI into PI
4.974 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.974 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.974 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.975 * [backup-simplify]: Simplify (- 0) into 0
4.975 * [backup-simplify]: Simplify (+ 1 0) into 1
4.975 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.975 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.976 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.976 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.976 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.976 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.976 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.976 * [taylor]: Taking taylor expansion of 1/2 in n
4.976 * [backup-simplify]: Simplify 1/2 into 1/2
4.976 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.976 * [taylor]: Taking taylor expansion of 1 in n
4.976 * [backup-simplify]: Simplify 1 into 1
4.976 * [taylor]: Taking taylor expansion of k in n
4.976 * [backup-simplify]: Simplify k into k
4.976 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.976 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.976 * [taylor]: Taking taylor expansion of 2 in n
4.976 * [backup-simplify]: Simplify 2 into 2
4.976 * [taylor]: Taking taylor expansion of (* n PI) in n
4.976 * [taylor]: Taking taylor expansion of n in n
4.976 * [backup-simplify]: Simplify 0 into 0
4.976 * [backup-simplify]: Simplify 1 into 1
4.976 * [taylor]: Taking taylor expansion of PI in n
4.976 * [backup-simplify]: Simplify PI into PI
4.976 * [backup-simplify]: Simplify (* 0 PI) into 0
4.976 * [backup-simplify]: Simplify (* 2 0) into 0
4.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.978 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.979 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.979 * [backup-simplify]: Simplify (- k) into (- k)
4.979 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.979 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.980 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.981 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.981 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.981 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.982 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.982 * [taylor]: Taking taylor expansion of 1/2 in n
4.982 * [backup-simplify]: Simplify 1/2 into 1/2
4.982 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.982 * [taylor]: Taking taylor expansion of 1 in n
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [taylor]: Taking taylor expansion of k in n
4.982 * [backup-simplify]: Simplify k into k
4.982 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.982 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.982 * [taylor]: Taking taylor expansion of 2 in n
4.982 * [backup-simplify]: Simplify 2 into 2
4.982 * [taylor]: Taking taylor expansion of (* n PI) in n
4.982 * [taylor]: Taking taylor expansion of n in n
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [taylor]: Taking taylor expansion of PI in n
4.982 * [backup-simplify]: Simplify PI into PI
4.982 * [backup-simplify]: Simplify (* 0 PI) into 0
4.983 * [backup-simplify]: Simplify (* 2 0) into 0
4.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.986 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.987 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.987 * [backup-simplify]: Simplify (- k) into (- k)
4.987 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.987 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.989 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.990 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.991 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
4.991 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
4.991 * [taylor]: Taking taylor expansion of 1/2 in k
4.991 * [backup-simplify]: Simplify 1/2 into 1/2
4.991 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
4.991 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.991 * [taylor]: Taking taylor expansion of 1 in k
4.991 * [backup-simplify]: Simplify 1 into 1
4.991 * [taylor]: Taking taylor expansion of k in k
4.991 * [backup-simplify]: Simplify 0 into 0
4.991 * [backup-simplify]: Simplify 1 into 1
4.991 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.991 * [taylor]: Taking taylor expansion of (log n) in k
4.991 * [taylor]: Taking taylor expansion of n in k
4.991 * [backup-simplify]: Simplify n into n
4.991 * [backup-simplify]: Simplify (log n) into (log n)
4.991 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.991 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.991 * [taylor]: Taking taylor expansion of 2 in k
4.991 * [backup-simplify]: Simplify 2 into 2
4.991 * [taylor]: Taking taylor expansion of PI in k
4.991 * [backup-simplify]: Simplify PI into PI
4.992 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.993 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.993 * [backup-simplify]: Simplify (- 0) into 0
4.993 * [backup-simplify]: Simplify (+ 1 0) into 1
4.995 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.996 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
4.997 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.998 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.999 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.001 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.003 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.003 * [backup-simplify]: Simplify (- 0) into 0
5.004 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
5.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.007 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.009 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.009 * [taylor]: Taking taylor expansion of 0 in k
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 0 into 0
5.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.010 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.013 * [backup-simplify]: Simplify (+ 0 0) into 0
5.013 * [backup-simplify]: Simplify (- 1) into -1
5.013 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.015 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
5.017 * [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)))))
5.026 * [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)))))))
5.029 * [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)))))))
5.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.031 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.033 * [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
5.033 * [backup-simplify]: Simplify (- 0) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
5.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.037 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.039 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.039 * [taylor]: Taking taylor expansion of 0 in k
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 0 into 0
5.041 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.045 * [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
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [backup-simplify]: Simplify (- 0) into 0
5.047 * [backup-simplify]: Simplify (+ 0 0) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.055 * [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)))))
5.060 * [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)))))
5.070 * [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)))))
5.070 * [backup-simplify]: Simplify (pow (* 2 (* (/ 1 n) PI)) (* (- 1 (/ 1 k)) 1/2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
5.070 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
5.070 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.070 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.070 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.070 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.070 * [taylor]: Taking taylor expansion of 1/2 in k
5.070 * [backup-simplify]: Simplify 1/2 into 1/2
5.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.070 * [taylor]: Taking taylor expansion of 1 in k
5.070 * [backup-simplify]: Simplify 1 into 1
5.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.070 * [taylor]: Taking taylor expansion of k in k
5.070 * [backup-simplify]: Simplify 0 into 0
5.070 * [backup-simplify]: Simplify 1 into 1
5.071 * [backup-simplify]: Simplify (/ 1 1) into 1
5.071 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.071 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.071 * [taylor]: Taking taylor expansion of 2 in k
5.071 * [backup-simplify]: Simplify 2 into 2
5.071 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.071 * [taylor]: Taking taylor expansion of PI in k
5.071 * [backup-simplify]: Simplify PI into PI
5.071 * [taylor]: Taking taylor expansion of n in k
5.071 * [backup-simplify]: Simplify n into n
5.071 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.071 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.071 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.072 * [backup-simplify]: Simplify (- 1) into -1
5.072 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.073 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.073 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.073 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.073 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.073 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.073 * [taylor]: Taking taylor expansion of 1/2 in n
5.073 * [backup-simplify]: Simplify 1/2 into 1/2
5.073 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.073 * [taylor]: Taking taylor expansion of 1 in n
5.073 * [backup-simplify]: Simplify 1 into 1
5.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.073 * [taylor]: Taking taylor expansion of k in n
5.073 * [backup-simplify]: Simplify k into k
5.073 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.073 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.073 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.073 * [taylor]: Taking taylor expansion of 2 in n
5.073 * [backup-simplify]: Simplify 2 into 2
5.073 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.073 * [taylor]: Taking taylor expansion of PI in n
5.073 * [backup-simplify]: Simplify PI into PI
5.073 * [taylor]: Taking taylor expansion of n in n
5.073 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify 1 into 1
5.074 * [backup-simplify]: Simplify (/ PI 1) into PI
5.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.075 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.076 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.076 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.078 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.079 * [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)))))
5.079 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.079 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.079 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.079 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.079 * [taylor]: Taking taylor expansion of 1/2 in n
5.079 * [backup-simplify]: Simplify 1/2 into 1/2
5.079 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.079 * [taylor]: Taking taylor expansion of 1 in n
5.079 * [backup-simplify]: Simplify 1 into 1
5.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.080 * [taylor]: Taking taylor expansion of k in n
5.080 * [backup-simplify]: Simplify k into k
5.080 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.080 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.080 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.080 * [taylor]: Taking taylor expansion of 2 in n
5.080 * [backup-simplify]: Simplify 2 into 2
5.080 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.080 * [taylor]: Taking taylor expansion of PI in n
5.080 * [backup-simplify]: Simplify PI into PI
5.080 * [taylor]: Taking taylor expansion of n in n
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify 1 into 1
5.080 * [backup-simplify]: Simplify (/ PI 1) into PI
5.081 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.082 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.082 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.082 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.082 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.085 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.086 * [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)))))
5.086 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
5.086 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
5.086 * [taylor]: Taking taylor expansion of 1/2 in k
5.086 * [backup-simplify]: Simplify 1/2 into 1/2
5.086 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
5.086 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.086 * [taylor]: Taking taylor expansion of 1 in k
5.086 * [backup-simplify]: Simplify 1 into 1
5.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.086 * [taylor]: Taking taylor expansion of k in k
5.086 * [backup-simplify]: Simplify 0 into 0
5.086 * [backup-simplify]: Simplify 1 into 1
5.086 * [backup-simplify]: Simplify (/ 1 1) into 1
5.087 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.087 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.087 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.087 * [taylor]: Taking taylor expansion of 2 in k
5.087 * [backup-simplify]: Simplify 2 into 2
5.087 * [taylor]: Taking taylor expansion of PI in k
5.087 * [backup-simplify]: Simplify PI into PI
5.087 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.088 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.088 * [taylor]: Taking taylor expansion of (log n) in k
5.088 * [taylor]: Taking taylor expansion of n in k
5.088 * [backup-simplify]: Simplify n into n
5.089 * [backup-simplify]: Simplify (log n) into (log n)
5.089 * [backup-simplify]: Simplify (- 1) into -1
5.089 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.089 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.090 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.091 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
5.092 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.094 * [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)))))
5.095 * [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)))))
5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.097 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.099 * [backup-simplify]: Simplify (- 0) into 0
5.100 * [backup-simplify]: Simplify (+ 0 0) into 0
5.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.103 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.105 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.105 * [taylor]: Taking taylor expansion of 0 in k
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.105 * [backup-simplify]: Simplify 0 into 0
5.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.107 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.111 * [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
5.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.112 * [backup-simplify]: Simplify (- 0) into 0
5.112 * [backup-simplify]: Simplify (+ 0 0) into 0
5.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
5.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.116 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.118 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.118 * [taylor]: Taking taylor expansion of 0 in k
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 0 into 0
5.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.123 * [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
5.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.123 * [backup-simplify]: Simplify (- 0) into 0
5.123 * [backup-simplify]: Simplify (+ 0 0) into 0
5.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
5.125 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.126 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.128 * [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
5.128 * [taylor]: Taking taylor expansion of 0 in k
5.128 * [backup-simplify]: Simplify 0 into 0
5.128 * [backup-simplify]: Simplify 0 into 0
5.129 * [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))))))
5.129 * [backup-simplify]: Simplify (pow (* 2 (* (/ 1 (- n)) PI)) (* (- 1 (/ 1 (- k))) 1/2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
5.129 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
5.129 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.129 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.129 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.129 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.129 * [taylor]: Taking taylor expansion of 1/2 in k
5.129 * [backup-simplify]: Simplify 1/2 into 1/2
5.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.129 * [taylor]: Taking taylor expansion of k in k
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify 1 into 1
5.129 * [backup-simplify]: Simplify (/ 1 1) into 1
5.129 * [taylor]: Taking taylor expansion of 1 in k
5.129 * [backup-simplify]: Simplify 1 into 1
5.129 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.129 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.129 * [taylor]: Taking taylor expansion of -2 in k
5.129 * [backup-simplify]: Simplify -2 into -2
5.130 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.130 * [taylor]: Taking taylor expansion of PI in k
5.130 * [backup-simplify]: Simplify PI into PI
5.130 * [taylor]: Taking taylor expansion of n in k
5.130 * [backup-simplify]: Simplify n into n
5.130 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.130 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.130 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.130 * [backup-simplify]: Simplify (+ 1 0) into 1
5.130 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.130 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.130 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.130 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.131 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.131 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.131 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.131 * [taylor]: Taking taylor expansion of 1/2 in n
5.131 * [backup-simplify]: Simplify 1/2 into 1/2
5.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.131 * [taylor]: Taking taylor expansion of k in n
5.131 * [backup-simplify]: Simplify k into k
5.131 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.131 * [taylor]: Taking taylor expansion of 1 in n
5.131 * [backup-simplify]: Simplify 1 into 1
5.131 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.131 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.131 * [taylor]: Taking taylor expansion of -2 in n
5.131 * [backup-simplify]: Simplify -2 into -2
5.131 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.131 * [taylor]: Taking taylor expansion of PI in n
5.131 * [backup-simplify]: Simplify PI into PI
5.131 * [taylor]: Taking taylor expansion of n in n
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 1 into 1
5.131 * [backup-simplify]: Simplify (/ PI 1) into PI
5.131 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.132 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.132 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.132 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.134 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.134 * [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)))))
5.134 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.134 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.134 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.134 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.135 * [taylor]: Taking taylor expansion of 1/2 in n
5.135 * [backup-simplify]: Simplify 1/2 into 1/2
5.135 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.135 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.135 * [taylor]: Taking taylor expansion of k in n
5.135 * [backup-simplify]: Simplify k into k
5.135 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.135 * [taylor]: Taking taylor expansion of 1 in n
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.135 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.135 * [taylor]: Taking taylor expansion of -2 in n
5.135 * [backup-simplify]: Simplify -2 into -2
5.135 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.135 * [taylor]: Taking taylor expansion of PI in n
5.135 * [backup-simplify]: Simplify PI into PI
5.135 * [taylor]: Taking taylor expansion of n in n
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [backup-simplify]: Simplify (/ PI 1) into PI
5.135 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.136 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.136 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.136 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.137 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.138 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.138 * [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)))))
5.138 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
5.138 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
5.138 * [taylor]: Taking taylor expansion of 1/2 in k
5.139 * [backup-simplify]: Simplify 1/2 into 1/2
5.139 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
5.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.139 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.139 * [taylor]: Taking taylor expansion of k in k
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 1 into 1
5.139 * [backup-simplify]: Simplify (/ 1 1) into 1
5.139 * [taylor]: Taking taylor expansion of 1 in k
5.139 * [backup-simplify]: Simplify 1 into 1
5.139 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.139 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.139 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.139 * [taylor]: Taking taylor expansion of -2 in k
5.139 * [backup-simplify]: Simplify -2 into -2
5.139 * [taylor]: Taking taylor expansion of PI in k
5.139 * [backup-simplify]: Simplify PI into PI
5.139 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.140 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.140 * [taylor]: Taking taylor expansion of (log n) in k
5.140 * [taylor]: Taking taylor expansion of n in k
5.140 * [backup-simplify]: Simplify n into n
5.140 * [backup-simplify]: Simplify (log n) into (log n)
5.140 * [backup-simplify]: Simplify (+ 1 0) into 1
5.140 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.141 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.142 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
5.142 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.143 * [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)))))
5.144 * [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)))))
5.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.145 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.150 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.151 * [backup-simplify]: Simplify (+ 0 0) into 0
5.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
5.153 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.154 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.156 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.156 * [taylor]: Taking taylor expansion of 0 in k
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 0 into 0
5.156 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.163 * [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
5.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.163 * [backup-simplify]: Simplify (+ 0 0) into 0
5.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
5.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.167 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.170 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.170 * [taylor]: Taking taylor expansion of 0 in k
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.170 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.172 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.178 * [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
5.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.179 * [backup-simplify]: Simplify (+ 0 0) into 0
5.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
5.182 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.183 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
5.185 * [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
5.185 * [taylor]: Taking taylor expansion of 0 in k
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 0 into 0
5.186 * [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))))))
5.186 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1 2)
5.186 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.186 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0
5.186 * [taylor]: Taking taylor expansion of (* n PI) in n
5.186 * [taylor]: Taking taylor expansion of n in n
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [taylor]: Taking taylor expansion of PI in n
5.186 * [backup-simplify]: Simplify PI into PI
5.186 * [taylor]: Taking taylor expansion of (* n PI) in n
5.186 * [taylor]: Taking taylor expansion of n in n
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [taylor]: Taking taylor expansion of PI in n
5.186 * [backup-simplify]: Simplify PI into PI
5.186 * [backup-simplify]: Simplify (* 0 PI) into 0
5.186 * [backup-simplify]: Simplify 0 into 0
5.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.187 * [backup-simplify]: Simplify PI into PI
5.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.188 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.189 * [backup-simplify]: Simplify 0 into 0
5.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.189 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.190 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.191 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify (* PI n) into (* n PI)
5.192 * [backup-simplify]: Simplify (* (/ 1 n) PI) into (/ PI n)
5.192 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0
5.192 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.192 * [taylor]: Taking taylor expansion of PI in n
5.192 * [backup-simplify]: Simplify PI into PI
5.192 * [taylor]: Taking taylor expansion of n in n
5.192 * [backup-simplify]: Simplify 0 into 0
5.192 * [backup-simplify]: Simplify 1 into 1
5.193 * [backup-simplify]: Simplify (/ PI 1) into PI
5.193 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.193 * [taylor]: Taking taylor expansion of PI in n
5.193 * [backup-simplify]: Simplify PI into PI
5.193 * [taylor]: Taking taylor expansion of n in n
5.193 * [backup-simplify]: Simplify 0 into 0
5.193 * [backup-simplify]: Simplify 1 into 1
5.193 * [backup-simplify]: Simplify (/ PI 1) into PI
5.193 * [backup-simplify]: Simplify PI into PI
5.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify 0 into 0
5.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.195 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.196 * [backup-simplify]: Simplify 0 into 0
5.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.196 * [backup-simplify]: Simplify 0 into 0
5.197 * [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
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI)
5.197 * [backup-simplify]: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n))
5.197 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0
5.197 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
5.197 * [taylor]: Taking taylor expansion of -1 in n
5.197 * [backup-simplify]: Simplify -1 into -1
5.197 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.197 * [taylor]: Taking taylor expansion of PI in n
5.197 * [backup-simplify]: Simplify PI into PI
5.197 * [taylor]: Taking taylor expansion of n in n
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 1 into 1
5.198 * [backup-simplify]: Simplify (/ PI 1) into PI
5.198 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n
5.198 * [taylor]: Taking taylor expansion of -1 in n
5.198 * [backup-simplify]: Simplify -1 into -1
5.198 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.198 * [taylor]: Taking taylor expansion of PI in n
5.198 * [backup-simplify]: Simplify PI into PI
5.198 * [taylor]: Taking taylor expansion of n in n
5.198 * [backup-simplify]: Simplify 0 into 0
5.198 * [backup-simplify]: Simplify 1 into 1
5.198 * [backup-simplify]: Simplify (/ PI 1) into PI
5.199 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
5.199 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI)
5.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0
5.200 * [backup-simplify]: Simplify 0 into 0
5.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
5.201 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.202 * [backup-simplify]: Simplify 0 into 0
5.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.204 * [backup-simplify]: Simplify 0 into 0
5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.205 * [backup-simplify]: Simplify 0 into 0
5.206 * [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
5.207 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.207 * [backup-simplify]: Simplify 0 into 0
5.207 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI)
5.208 * * * * [progress]: [ 3 / 3 ] generating series at (2)
5.208 * [backup-simplify]: Simplify (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
5.208 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
5.208 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
5.208 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
5.208 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
5.208 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
5.208 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
5.208 * [taylor]: Taking taylor expansion of 1/2 in k
5.208 * [backup-simplify]: Simplify 1/2 into 1/2
5.208 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.208 * [taylor]: Taking taylor expansion of 1 in k
5.208 * [backup-simplify]: Simplify 1 into 1
5.208 * [taylor]: Taking taylor expansion of k in k
5.208 * [backup-simplify]: Simplify 0 into 0
5.208 * [backup-simplify]: Simplify 1 into 1
5.208 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.208 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.208 * [taylor]: Taking taylor expansion of 2 in k
5.208 * [backup-simplify]: Simplify 2 into 2
5.208 * [taylor]: Taking taylor expansion of (* n PI) in k
5.208 * [taylor]: Taking taylor expansion of n in k
5.208 * [backup-simplify]: Simplify n into n
5.208 * [taylor]: Taking taylor expansion of PI in k
5.208 * [backup-simplify]: Simplify PI into PI
5.208 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.208 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.208 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.208 * [backup-simplify]: Simplify (- 0) into 0
5.209 * [backup-simplify]: Simplify (+ 1 0) into 1
5.209 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.209 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.210 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.211 * [taylor]: Taking taylor expansion of k in k
5.211 * [backup-simplify]: Simplify 0 into 0
5.211 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify (/ 1 1) into 1
5.212 * [backup-simplify]: Simplify (sqrt 0) into 0
5.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.213 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
5.213 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.213 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.213 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.213 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.213 * [taylor]: Taking taylor expansion of 1/2 in n
5.213 * [backup-simplify]: Simplify 1/2 into 1/2
5.213 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.213 * [taylor]: Taking taylor expansion of 1 in n
5.213 * [backup-simplify]: Simplify 1 into 1
5.213 * [taylor]: Taking taylor expansion of k in n
5.214 * [backup-simplify]: Simplify k into k
5.214 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.214 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.214 * [taylor]: Taking taylor expansion of 2 in n
5.214 * [backup-simplify]: Simplify 2 into 2
5.214 * [taylor]: Taking taylor expansion of (* n PI) in n
5.214 * [taylor]: Taking taylor expansion of n in n
5.214 * [backup-simplify]: Simplify 0 into 0
5.214 * [backup-simplify]: Simplify 1 into 1
5.214 * [taylor]: Taking taylor expansion of PI in n
5.214 * [backup-simplify]: Simplify PI into PI
5.214 * [backup-simplify]: Simplify (* 0 PI) into 0
5.215 * [backup-simplify]: Simplify (* 2 0) into 0
5.217 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.218 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.219 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.219 * [backup-simplify]: Simplify (- k) into (- k)
5.219 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.219 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.221 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.222 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.223 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.223 * [taylor]: Taking taylor expansion of k in n
5.223 * [backup-simplify]: Simplify k into k
5.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.223 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.224 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
5.224 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
5.224 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
5.224 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
5.224 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
5.224 * [taylor]: Taking taylor expansion of 1/2 in n
5.224 * [backup-simplify]: Simplify 1/2 into 1/2
5.224 * [taylor]: Taking taylor expansion of (- 1 k) in n
5.224 * [taylor]: Taking taylor expansion of 1 in n
5.224 * [backup-simplify]: Simplify 1 into 1
5.224 * [taylor]: Taking taylor expansion of k in n
5.224 * [backup-simplify]: Simplify k into k
5.224 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.224 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.224 * [taylor]: Taking taylor expansion of 2 in n
5.224 * [backup-simplify]: Simplify 2 into 2
5.224 * [taylor]: Taking taylor expansion of (* n PI) in n
5.224 * [taylor]: Taking taylor expansion of n in n
5.224 * [backup-simplify]: Simplify 0 into 0
5.224 * [backup-simplify]: Simplify 1 into 1
5.224 * [taylor]: Taking taylor expansion of PI in n
5.224 * [backup-simplify]: Simplify PI into PI
5.225 * [backup-simplify]: Simplify (* 0 PI) into 0
5.225 * [backup-simplify]: Simplify (* 2 0) into 0
5.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.228 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.229 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.229 * [backup-simplify]: Simplify (- k) into (- k)
5.229 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
5.229 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
5.231 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.232 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
5.233 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
5.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.233 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.233 * [taylor]: Taking taylor expansion of k in n
5.233 * [backup-simplify]: Simplify k into k
5.233 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.233 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.235 * [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)))
5.235 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
5.235 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
5.235 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
5.235 * [taylor]: Taking taylor expansion of 1/2 in k
5.235 * [backup-simplify]: Simplify 1/2 into 1/2
5.235 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
5.235 * [taylor]: Taking taylor expansion of (- 1 k) in k
5.235 * [taylor]: Taking taylor expansion of 1 in k
5.235 * [backup-simplify]: Simplify 1 into 1
5.235 * [taylor]: Taking taylor expansion of k in k
5.235 * [backup-simplify]: Simplify 0 into 0
5.235 * [backup-simplify]: Simplify 1 into 1
5.235 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.235 * [taylor]: Taking taylor expansion of (log n) in k
5.235 * [taylor]: Taking taylor expansion of n in k
5.235 * [backup-simplify]: Simplify n into n
5.235 * [backup-simplify]: Simplify (log n) into (log n)
5.235 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.235 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.235 * [taylor]: Taking taylor expansion of 2 in k
5.235 * [backup-simplify]: Simplify 2 into 2
5.235 * [taylor]: Taking taylor expansion of PI in k
5.235 * [backup-simplify]: Simplify PI into PI
5.236 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.237 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.237 * [backup-simplify]: Simplify (- 0) into 0
5.238 * [backup-simplify]: Simplify (+ 1 0) into 1
5.239 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.240 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
5.241 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.242 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.242 * [taylor]: Taking taylor expansion of k in k
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify 1 into 1
5.243 * [backup-simplify]: Simplify (/ 1 1) into 1
5.243 * [backup-simplify]: Simplify (sqrt 0) into 0
5.245 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.246 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
5.246 * [backup-simplify]: Simplify 0 into 0
5.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.250 * [backup-simplify]: Simplify (- 0) into 0
5.251 * [backup-simplify]: Simplify (+ 0 0) into 0
5.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
5.253 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.254 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.256 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.257 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
5.257 * [taylor]: Taking taylor expansion of 0 in k
5.257 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.261 * [backup-simplify]: Simplify (+ 0 0) into 0
5.261 * [backup-simplify]: Simplify (- 1) into -1
5.262 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.263 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
5.266 * [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)))))
5.269 * [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)))))))
5.273 * [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)))))))
5.274 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.281 * [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
5.288 * [backup-simplify]: Simplify (- 0) into 0
5.289 * [backup-simplify]: Simplify (+ 0 0) into 0
5.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
5.292 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.293 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.296 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.297 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
5.297 * [taylor]: Taking taylor expansion of 0 in k
5.297 * [backup-simplify]: Simplify 0 into 0
5.298 * [backup-simplify]: Simplify 0 into 0
5.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.303 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.304 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.308 * [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
5.308 * [backup-simplify]: Simplify (+ 0 0) into 0
5.309 * [backup-simplify]: Simplify (- 0) into 0
5.309 * [backup-simplify]: Simplify (+ 0 0) into 0
5.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.318 * [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)))))
5.327 * [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))))))))
5.331 * [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))))))))
5.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
5.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
5.341 * [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
5.342 * [backup-simplify]: Simplify (- 0) into 0
5.342 * [backup-simplify]: Simplify (+ 0 0) into 0
5.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
5.345 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.347 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
5.350 * [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
5.352 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
5.352 * [taylor]: Taking taylor expansion of 0 in k
5.352 * [backup-simplify]: Simplify 0 into 0
5.352 * [backup-simplify]: Simplify 0 into 0
5.352 * [backup-simplify]: Simplify 0 into 0
5.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.360 * [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
5.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.367 * [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
5.368 * [backup-simplify]: Simplify (+ 0 0) into 0
5.369 * [backup-simplify]: Simplify (- 0) into 0
5.369 * [backup-simplify]: Simplify (+ 0 0) into 0
5.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
5.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
5.382 * [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)))))))
5.399 * [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))))))))))))))
5.410 * [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))))))))))))))
5.432 * [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))))))))))))))))))))))
5.433 * [backup-simplify]: Simplify (/ (pow (* 2 (* (/ 1 n) PI)) (* (- 1 (/ 1 k)) 1/2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
5.433 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
5.433 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
5.433 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
5.433 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.433 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.433 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
5.433 * [taylor]: Taking taylor expansion of 1/2 in k
5.433 * [backup-simplify]: Simplify 1/2 into 1/2
5.433 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.433 * [taylor]: Taking taylor expansion of 1 in k
5.433 * [backup-simplify]: Simplify 1 into 1
5.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.433 * [taylor]: Taking taylor expansion of k in k
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify 1 into 1
5.434 * [backup-simplify]: Simplify (/ 1 1) into 1
5.434 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.434 * [taylor]: Taking taylor expansion of 2 in k
5.434 * [backup-simplify]: Simplify 2 into 2
5.434 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.434 * [taylor]: Taking taylor expansion of PI in k
5.434 * [backup-simplify]: Simplify PI into PI
5.434 * [taylor]: Taking taylor expansion of n in k
5.434 * [backup-simplify]: Simplify n into n
5.434 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.434 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.434 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.435 * [backup-simplify]: Simplify (- 1) into -1
5.435 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.436 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
5.436 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.436 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
5.436 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.436 * [taylor]: Taking taylor expansion of k in k
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 1 into 1
5.437 * [backup-simplify]: Simplify (sqrt 0) into 0
5.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.438 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
5.438 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.438 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.438 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.438 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.439 * [taylor]: Taking taylor expansion of 1/2 in n
5.439 * [backup-simplify]: Simplify 1/2 into 1/2
5.439 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.439 * [taylor]: Taking taylor expansion of 1 in n
5.439 * [backup-simplify]: Simplify 1 into 1
5.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.439 * [taylor]: Taking taylor expansion of k in n
5.439 * [backup-simplify]: Simplify k into k
5.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.439 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.439 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.439 * [taylor]: Taking taylor expansion of 2 in n
5.439 * [backup-simplify]: Simplify 2 into 2
5.439 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.439 * [taylor]: Taking taylor expansion of PI in n
5.439 * [backup-simplify]: Simplify PI into PI
5.439 * [taylor]: Taking taylor expansion of n in n
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify 1 into 1
5.440 * [backup-simplify]: Simplify (/ PI 1) into PI
5.440 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.441 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.441 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.441 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.441 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.443 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.444 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.445 * [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)))))
5.445 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.445 * [taylor]: Taking taylor expansion of k in n
5.445 * [backup-simplify]: Simplify k into k
5.445 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.445 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
5.445 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
5.445 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.445 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.445 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
5.445 * [taylor]: Taking taylor expansion of 1/2 in n
5.445 * [backup-simplify]: Simplify 1/2 into 1/2
5.445 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
5.445 * [taylor]: Taking taylor expansion of 1 in n
5.445 * [backup-simplify]: Simplify 1 into 1
5.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.445 * [taylor]: Taking taylor expansion of k in n
5.446 * [backup-simplify]: Simplify k into k
5.446 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.446 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.446 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.446 * [taylor]: Taking taylor expansion of 2 in n
5.446 * [backup-simplify]: Simplify 2 into 2
5.446 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.446 * [taylor]: Taking taylor expansion of PI in n
5.446 * [backup-simplify]: Simplify PI into PI
5.446 * [taylor]: Taking taylor expansion of n in n
5.446 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify 1 into 1
5.446 * [backup-simplify]: Simplify (/ PI 1) into PI
5.447 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.448 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.448 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
5.448 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
5.448 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
5.450 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.451 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.453 * [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)))))
5.453 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.453 * [taylor]: Taking taylor expansion of k in n
5.453 * [backup-simplify]: Simplify k into k
5.453 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.455 * [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))
5.455 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
5.455 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
5.455 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
5.455 * [taylor]: Taking taylor expansion of 1/2 in k
5.455 * [backup-simplify]: Simplify 1/2 into 1/2
5.455 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
5.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
5.455 * [taylor]: Taking taylor expansion of 1 in k
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.455 * [taylor]: Taking taylor expansion of k in k
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [backup-simplify]: Simplify (/ 1 1) into 1
5.456 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.456 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.456 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.456 * [taylor]: Taking taylor expansion of 2 in k
5.456 * [backup-simplify]: Simplify 2 into 2
5.456 * [taylor]: Taking taylor expansion of PI in k
5.456 * [backup-simplify]: Simplify PI into PI
5.456 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.457 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.457 * [taylor]: Taking taylor expansion of (log n) in k
5.457 * [taylor]: Taking taylor expansion of n in k
5.457 * [backup-simplify]: Simplify n into n
5.457 * [backup-simplify]: Simplify (log n) into (log n)
5.458 * [backup-simplify]: Simplify (- 1) into -1
5.458 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.458 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.459 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.460 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
5.461 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.462 * [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)))))
5.463 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.463 * [taylor]: Taking taylor expansion of k in k
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (sqrt 0) into 0
5.464 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.465 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
5.465 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.469 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.470 * [backup-simplify]: Simplify (- 0) into 0
5.470 * [backup-simplify]: Simplify (+ 0 0) into 0
5.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
5.472 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.473 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.475 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.476 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
5.476 * [taylor]: Taking taylor expansion of 0 in k
5.476 * [backup-simplify]: Simplify 0 into 0
5.476 * [backup-simplify]: Simplify 0 into 0
5.478 * [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)))))))
5.479 * [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)))))))
5.480 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
5.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.485 * [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
5.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.486 * [backup-simplify]: Simplify (- 0) into 0
5.486 * [backup-simplify]: Simplify (+ 0 0) into 0
5.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
5.489 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.490 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.493 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
5.494 * [taylor]: Taking taylor expansion of 0 in k
5.494 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify 0 into 0
5.494 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.499 * [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)))))))
5.500 * [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)))))))
5.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
5.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.509 * [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
5.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.510 * [backup-simplify]: Simplify (- 0) into 0
5.511 * [backup-simplify]: Simplify (+ 0 0) into 0
5.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
5.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.515 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.518 * [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
5.520 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
5.521 * [taylor]: Taking taylor expansion of 0 in k
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.528 * [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)))))))
5.529 * [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)))))))
5.533 * [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))))))))
5.533 * [backup-simplify]: Simplify (/ (pow (* 2 (* (/ 1 (- n)) PI)) (* (- 1 (/ 1 (- k))) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
5.533 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
5.533 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.533 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.533 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.533 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.533 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.533 * [taylor]: Taking taylor expansion of 1/2 in k
5.534 * [backup-simplify]: Simplify 1/2 into 1/2
5.534 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.534 * [taylor]: Taking taylor expansion of k in k
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 1 into 1
5.534 * [backup-simplify]: Simplify (/ 1 1) into 1
5.534 * [taylor]: Taking taylor expansion of 1 in k
5.534 * [backup-simplify]: Simplify 1 into 1
5.534 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.534 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.534 * [taylor]: Taking taylor expansion of -2 in k
5.534 * [backup-simplify]: Simplify -2 into -2
5.534 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.534 * [taylor]: Taking taylor expansion of PI in k
5.534 * [backup-simplify]: Simplify PI into PI
5.534 * [taylor]: Taking taylor expansion of n in k
5.534 * [backup-simplify]: Simplify n into n
5.534 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.534 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.535 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.535 * [backup-simplify]: Simplify (+ 1 0) into 1
5.535 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.536 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.536 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.536 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.536 * [taylor]: Taking taylor expansion of -1 in k
5.536 * [backup-simplify]: Simplify -1 into -1
5.536 * [taylor]: Taking taylor expansion of k in k
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 1 into 1
5.536 * [backup-simplify]: Simplify (/ -1 1) into -1
5.537 * [backup-simplify]: Simplify (sqrt 0) into 0
5.538 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.539 * [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)))))
5.539 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.539 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.539 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.539 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.539 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.539 * [taylor]: Taking taylor expansion of 1/2 in n
5.539 * [backup-simplify]: Simplify 1/2 into 1/2
5.539 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.539 * [taylor]: Taking taylor expansion of k in n
5.539 * [backup-simplify]: Simplify k into k
5.539 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.539 * [taylor]: Taking taylor expansion of 1 in n
5.539 * [backup-simplify]: Simplify 1 into 1
5.539 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.539 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.539 * [taylor]: Taking taylor expansion of -2 in n
5.539 * [backup-simplify]: Simplify -2 into -2
5.539 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.539 * [taylor]: Taking taylor expansion of PI in n
5.539 * [backup-simplify]: Simplify PI into PI
5.539 * [taylor]: Taking taylor expansion of n in n
5.539 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify 1 into 1
5.540 * [backup-simplify]: Simplify (/ PI 1) into PI
5.540 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.541 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.541 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.541 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.544 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.545 * [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)))))
5.545 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.545 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.545 * [taylor]: Taking taylor expansion of -1 in n
5.545 * [backup-simplify]: Simplify -1 into -1
5.545 * [taylor]: Taking taylor expansion of k in n
5.545 * [backup-simplify]: Simplify k into k
5.545 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.545 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.546 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.547 * [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)))
5.547 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.547 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.547 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.547 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.547 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.547 * [taylor]: Taking taylor expansion of 1/2 in n
5.547 * [backup-simplify]: Simplify 1/2 into 1/2
5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.547 * [taylor]: Taking taylor expansion of k in n
5.547 * [backup-simplify]: Simplify k into k
5.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.547 * [taylor]: Taking taylor expansion of 1 in n
5.547 * [backup-simplify]: Simplify 1 into 1
5.547 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.547 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.547 * [taylor]: Taking taylor expansion of -2 in n
5.547 * [backup-simplify]: Simplify -2 into -2
5.547 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.547 * [taylor]: Taking taylor expansion of PI in n
5.547 * [backup-simplify]: Simplify PI into PI
5.547 * [taylor]: Taking taylor expansion of n in n
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 1 into 1
5.548 * [backup-simplify]: Simplify (/ PI 1) into PI
5.548 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.549 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.549 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.550 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.552 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.553 * [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)))))
5.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.553 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.553 * [taylor]: Taking taylor expansion of -1 in n
5.553 * [backup-simplify]: Simplify -1 into -1
5.553 * [taylor]: Taking taylor expansion of k in n
5.553 * [backup-simplify]: Simplify k into k
5.553 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.553 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.553 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.555 * [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)))
5.555 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
5.555 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
5.555 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
5.555 * [taylor]: Taking taylor expansion of 1/2 in k
5.555 * [backup-simplify]: Simplify 1/2 into 1/2
5.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
5.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.555 * [taylor]: Taking taylor expansion of k in k
5.555 * [backup-simplify]: Simplify 0 into 0
5.555 * [backup-simplify]: Simplify 1 into 1
5.555 * [backup-simplify]: Simplify (/ 1 1) into 1
5.556 * [taylor]: Taking taylor expansion of 1 in k
5.556 * [backup-simplify]: Simplify 1 into 1
5.556 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.556 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.556 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.556 * [taylor]: Taking taylor expansion of -2 in k
5.556 * [backup-simplify]: Simplify -2 into -2
5.556 * [taylor]: Taking taylor expansion of PI in k
5.556 * [backup-simplify]: Simplify PI into PI
5.556 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.557 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.557 * [taylor]: Taking taylor expansion of (log n) in k
5.557 * [taylor]: Taking taylor expansion of n in k
5.557 * [backup-simplify]: Simplify n into n
5.557 * [backup-simplify]: Simplify (log n) into (log n)
5.558 * [backup-simplify]: Simplify (+ 1 0) into 1
5.558 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.559 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.560 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
5.561 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.562 * [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)))))
5.562 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.562 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.562 * [taylor]: Taking taylor expansion of -1 in k
5.562 * [backup-simplify]: Simplify -1 into -1
5.562 * [taylor]: Taking taylor expansion of k in k
5.562 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify 1 into 1
5.563 * [backup-simplify]: Simplify (/ -1 1) into -1
5.563 * [backup-simplify]: Simplify (sqrt 0) into 0
5.564 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.566 * [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))))))
5.567 * [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))))))
5.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.571 * [backup-simplify]: Simplify (+ 0 0) into 0
5.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
5.573 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.573 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.579 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.580 * [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
5.580 * [taylor]: Taking taylor expansion of 0 in k
5.580 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify 0 into 0
5.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.582 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.584 * [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)))))))
5.584 * [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)))))))
5.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.586 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.588 * [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
5.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.588 * [backup-simplify]: Simplify (+ 0 0) into 0
5.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
5.590 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.591 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.592 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.592 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
5.593 * [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
5.593 * [taylor]: Taking taylor expansion of 0 in k
5.593 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify 0 into 0
5.593 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.599 * [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)))))))
5.599 * [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)))))))
5.602 * [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))))))))))))
5.603 * * * [progress]: simplifying candidates
5.603 * * * * [progress]: [ 1 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log 2) (+ (log n) (log PI))) (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 2 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log 2) (log (* n PI))) (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 3 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* 2 (* n PI))) (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 4 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* 2 (* n PI))) (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 5 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 6 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 7 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* 1 (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 8 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* 2 (* n PI)) (- 1 k)) 1/2) (sqrt k)))>
5.603 * * * * [progress]: [ 9 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 2 (* (- 1 k) 1/2)) (pow (* n PI) (* (- 1 k) 1/2))) (sqrt k)))>
5.603 * * * * [progress]: [ 10 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) 1) (sqrt k)))>
5.603 * * * * [progress]: [ 11 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.603 * * * * [progress]: [ 12 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.603 * * * * [progress]: [ 13 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.603 * * * * [progress]: [ 14 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.604 * * * * [progress]: [ 15 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.604 * * * * [progress]: [ 16 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k)))>
5.604 * * * * [progress]: [ 17 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2))) (sqrt k)))>
5.604 * * * * [progress]: [ 18 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt k)))>
5.604 * * * * [progress]: [ 19 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (pow (* n PI) 1)) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 20 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (pow (* n PI) 1)) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 21 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (exp (+ (log n) (log PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 22 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (exp (log (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 23 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (log (exp (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 24 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (cbrt (* (* (* n n) n) (* (* PI PI) PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 25 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 26 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (cbrt (* (* (* n PI) (* n PI)) (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 27 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (sqrt (* n PI)) (sqrt (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 28 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* 1 (* n PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 29 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.604 * * * * [progress]: [ 30 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* n (* (cbrt PI) (cbrt PI))) (cbrt PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 31 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* n (sqrt PI)) (sqrt PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 32 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* n 1) PI)) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 33 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (* (cbrt n) (cbrt n)) (* (cbrt n) PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 34 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* (sqrt n) (* (sqrt n) PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 35 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* 1 (* n PI))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 36 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (posit16->real (real->posit16 (* n PI)))) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 37 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)))>
5.605 * * * * [progress]: [ 38 / 104 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)) 1))>
5.605 * * * * [progress]: [ 39 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log 2) (+ (log n) (log PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
5.605 * * * * [progress]: [ 40 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log 2) (log (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
5.605 * * * * [progress]: [ 41 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
5.605 * * * * [progress]: [ 42 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k)))))>
5.605 * * * * [progress]: [ 43 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (log (sqrt k)))))>
5.605 * * * * [progress]: [ 44 / 104 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.605 * * * * [progress]: [ 45 / 104 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.606 * * * * [progress]: [ 46 / 104 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
5.606 * * * * [progress]: [ 47 / 104 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))) (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.606 * * * * [progress]: [ 48 / 104 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.606 * * * * [progress]: [ 49 / 104 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.606 * * * * [progress]: [ 50 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (- (sqrt k))))>
5.606 * * * * [progress]: [ 51 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n PI) (* (- 1 k) 1/2)) (cbrt (sqrt k)))))>
5.606 * * * * [progress]: [ 52 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (cbrt k)))))>
5.606 * * * * [progress]: [ 53 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))) (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
5.606 * * * * [progress]: [ 54 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) (sqrt 1)) (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt k))))>
5.606 * * * * [progress]: [ 55 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))) (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
5.606 * * * * [progress]: [ 56 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 2 (* (- 1 k) 1/2)) 1) (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt k))))>
5.606 * * * * [progress]: [ 57 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k)))))>
5.606 * * * * [progress]: [ 58 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k)))))>
5.606 * * * * [progress]: [ 59 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
5.607 * * * * [progress]: [ 60 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt 1)) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k))))>
5.607 * * * * [progress]: [ 61 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
5.607 * * * * [progress]: [ 62 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) 1) (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k))))>
5.607 * * * * [progress]: [ 63 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k)))))>
5.607 * * * * [progress]: [ 64 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k)))))>
5.607 * * * * [progress]: [ 65 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
5.608 * * * * [progress]: [ 66 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt 1)) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k))))>
5.608 * * * * [progress]: [ 67 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k)))))>
5.608 * * * * [progress]: [ 68 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) 1) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k))))>
5.608 * * * * [progress]: [ 69 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (cbrt (sqrt k)))))>
5.608 * * * * [progress]: [ 70 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (cbrt k)))))>
5.608 * * * * [progress]: [ 71 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
5.608 * * * * [progress]: [ 72 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))))>
5.608 * * * * [progress]: [ 73 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k)))))>
5.608 * * * * [progress]: [ 74 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))))>
5.608 * * * * [progress]: [ 75 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (cbrt (sqrt k)))))>
5.608 * * * * [progress]: [ 76 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (cbrt k)))))>
5.608 * * * * [progress]: [ 77 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k)))))>
5.608 * * * * [progress]: [ 78 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt 1)) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k))))>
5.608 * * * * [progress]: [ 79 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k)))))>
5.609 * * * * [progress]: [ 80 / 104 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) 1) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k))))>
5.609 * * * * [progress]: [ 81 / 104 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))))>
5.609 * * * * [progress]: [ 82 / 104 ] simplifiying candidate #<alt (λ (k n) (* (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (/ 1 (sqrt k))))>
5.609 * * * * [progress]: [ 83 / 104 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))))>
5.609 * * * * [progress]: [ 84 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
5.609 * * * * [progress]: [ 85 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
5.609 * * * * [progress]: [ 86 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
5.609 * * * * [progress]: [ 87 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt 1)) (sqrt k)))>
5.609 * * * * [progress]: [ 88 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
5.609 * * * * [progress]: [ 89 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) 1) (sqrt k)))>
5.609 * * * * [progress]: [ 90 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2)))))>
5.609 * * * * [progress]: [ 91 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))))))>
5.609 * * * * [progress]: [ 92 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))))))>
5.609 * * * * [progress]: [ 93 / 104 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))))>
5.609 * * * * [progress]: [ 94 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)))))>
5.610 * * * * [progress]: [ 95 / 104 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>
5.610 * * * * [progress]: [ 96 / 104 ] 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)))>
5.610 * * * * [progress]: [ 97 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
5.610 * * * * [progress]: [ 98 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
5.610 * * * * [progress]: [ 99 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
5.610 * * * * [progress]: [ 100 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
5.610 * * * * [progress]: [ 101 / 104 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))>
5.610 * * * * [progress]: [ 102 / 104 ] 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)))))))))))))))))))))))>
5.610 * * * * [progress]: [ 103 / 104 ] 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)))))))))>
5.610 * * * * [progress]: [ 104 / 104 ] 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)))))))))))))>
5.612 * [simplify]: Simplifying (* (+ (log 2) (+ (log n) (log PI))) (* (- 1 k) 1/2)), (* (+ (log 2) (log (* n PI))) (* (- 1 k) 1/2)), (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)), (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (* 1 (* (- 1 k) 1/2)), (pow (* 2 (* n PI)) (- 1 k)), (pow 2 (* (- 1 k) 1/2)), (pow (* n PI) (* (- 1 k) 1/2)), (log (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (exp (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))), (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (* (* (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)), (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)), (real->posit16 (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (* n PI), (+ (log n) (log PI)), (log (* n PI)), (exp (* n PI)), (* (* (* n n) n) (* (* PI PI) PI)), (* (cbrt (* n PI)) (cbrt (* n PI))), (cbrt (* n PI)), (* (* (* n PI) (* n PI)) (* n PI)), (sqrt (* n PI)), (sqrt (* n PI)), (* (sqrt n) (sqrt PI)), (* (sqrt n) (sqrt PI)), (* n (* (cbrt PI) (cbrt PI))), (* n (sqrt PI)), (* n 1), (* (cbrt n) PI), (* (sqrt n) PI), (* n PI), (real->posit16 (* n PI)), (- (* (+ (log 2) (+ (log n) (log PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (+ (log 2) (log (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* n PI))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (log (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (log (sqrt k))), (log (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (exp (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (/ (* (* (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))), (* (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))), (cbrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (* (* (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))), (- (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (- (sqrt k)), (/ (pow 2 (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* n PI) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt 1)), (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow 2 (* (- 1 k) 1/2)) 1), (/ (pow (* n PI) (* (- 1 k) 1/2)) (sqrt k)), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (* (cbrt k) (cbrt k)))), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt 1)), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) (sqrt (sqrt k))), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (* (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))) 1), (/ (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (* (cbrt k) (cbrt k)))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt 1)), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) 1), (/ (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2))) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ 1 (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ 1 (sqrt 1)), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ 1 1), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (cbrt (sqrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (cbrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt 1)), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k)), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) 1), (/ (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (* (cbrt k) (cbrt k)))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt 1)), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) 1), (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2))), (/ (sqrt k) (cbrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))), (/ (sqrt k) (sqrt (pow (* 2 (* n PI)) (* (- 1 k) 1/2)))), (/ (sqrt k) (pow (* 2 (* n PI)) (* (- 1 k) 1/2))), (/ (sqrt k) (pow (* 2 (* n PI)) (/ (* (- 1 k) 1/2) 2))), (real->posit16 (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (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)))))), (* n PI), (* n PI), (* 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))))))))))))
5.617 * * [simplify]: iteration 1: (240 enodes)
5.758 * * [simplify]: iteration 2: (1000 enodes)
6.059 * * [simplify]: Extracting #0: cost 85 inf + 0
6.060 * * [simplify]: Extracting #1: cost 331 inf + 2
6.063 * * [simplify]: Extracting #2: cost 545 inf + 3901
6.073 * * [simplify]: Extracting #3: cost 600 inf + 27627
6.103 * * [simplify]: Extracting #4: cost 420 inf + 126047
6.142 * * [simplify]: Extracting #5: cost 174 inf + 264784
6.216 * * [simplify]: Extracting #6: cost 119 inf + 289327
6.293 * * [simplify]: Extracting #7: cost 55 inf + 326063
6.380 * * [simplify]: Extracting #8: cost 4 inf + 372534
6.470 * * [simplify]: Extracting #9: cost 0 inf + 375902
6.584 * * [simplify]: Extracting #10: cost 0 inf + 375742
6.707 * [simplify]: Simplified to (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)), (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)), (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)), (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)), (* (- 1 k) 1/2), (* (- 1 k) 1/2), (* (- 1 k) 1/2), (pow (* 2 (* PI n)) (- 1 k)), (pow 2 (* (- 1 k) 1/2)), (pow (* PI n) (* (- 1 k) 1/2)), (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)), (exp (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (* (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (pow (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) 3), (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (pow (* 2 (* PI n)) (/ (- 1 k) 4)), (pow (* 2 (* PI n)) (/ (- 1 k) 4)), (real->posit16 (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (* PI n), (log (* PI n)), (log (* PI n)), (exp (* PI n)), (* (* PI n) (* (* PI n) (* PI n))), (* (cbrt (* PI n)) (cbrt (* PI n))), (cbrt (* PI n)), (* (* PI n) (* (* PI n) (* PI n))), (sqrt (* PI n)), (sqrt (* PI n)), (* (sqrt PI) (sqrt n)), (* (sqrt PI) (sqrt n)), (* (cbrt PI) (* n (cbrt PI))), (* n (sqrt PI)), n, (* PI (cbrt n)), (* PI (sqrt n)), (* PI n), (real->posit16 (* PI n)), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (- (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)) (log (sqrt k))), (exp (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))), (/ (/ (pow (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) 3) (sqrt k)) k), (* (cbrt (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))) (cbrt (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)))), (cbrt (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))), (* (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)) (* (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)) (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)))), (sqrt (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))), (sqrt (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))), (- (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (- (sqrt k)), (* (/ (pow 2 (/ (- 1 k) 4)) (cbrt (sqrt k))) (/ (pow 2 (/ (- 1 k) 4)) (cbrt (sqrt k)))), (/ (pow (* PI n) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ (pow 2 (* (- 1 k) 1/2)) (fabs (cbrt k))), (/ (pow (* PI n) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* PI n) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow 2 (* (- 1 k) 1/2)), (/ (pow (* PI n) (* (- 1 k) 1/2)) (sqrt k)), (/ (pow 2 (* (- 1 k) 1/2)) (sqrt (sqrt k))), (/ (pow (* PI n) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow 2 (* (- 1 k) 1/2)), (/ (pow (* PI n) (* (- 1 k) 1/2)) (sqrt k)), (* (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (sqrt k)))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (/ (fabs (cbrt k)) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (* (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (* (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt k)), (* (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (* (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt k)), (/ (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (cbrt (sqrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (fabs (cbrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (cbrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt k)), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt (sqrt k))), (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (/ (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2))) (sqrt k)), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (cbrt (sqrt k))), (/ 1 (fabs (cbrt k))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt (cbrt k))), (/ 1 (sqrt (sqrt k))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), 1, (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), 1, (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k)), (/ (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (cbrt (sqrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (fabs (cbrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt (cbrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* 2 (* PI n)) (/ (- 1 k) 4)), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt k)), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt (sqrt k))), (pow (* 2 (* PI n)) (/ (- 1 k) 4)), (/ (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (sqrt k)), (/ 1 (sqrt k)), (/ (sqrt k) (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (/ (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (fabs (cbrt k))), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow (* 2 (* PI n)) (* (- 1 k) 1/2)), (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt (sqrt k))), (pow (* 2 (* PI n)) (* (- 1 k) 1/2)), (/ (sqrt k) (pow (* PI n) (* (- 1 k) 1/2))), (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (* (- 1 k) 1/2)))), (/ (sqrt k) (pow (* 2 (* PI n)) (* (- 1 k) 1/2))), (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- 1 k) 4))), (real->posit16 (/ (pow (* 2 (* PI n)) (* (- 1 k) 1/2)) (sqrt k))), (+ (* (* (* (log n) (exp (* 1/2 (log (* 2 (* PI n)))))) (* k k)) (* 1/4 (log (* PI 2)))) (- (+ (exp (* 1/2 (log (* 2 (* PI n))))) (+ (* (* (* k k) (* (exp (* 1/2 (log (* 2 (* PI n))))) (* (log (* PI 2)) (log (* PI 2))))) 1/8) (* (* 1/8 (* (* (log n) k) (* (log n) k))) (exp (* 1/2 (log (* 2 (* PI n)))))))) (* 1/2 (* k (+ (* (log n) (exp (* 1/2 (log (* 2 (* PI n)))))) (* (exp (* 1/2 (log (* 2 (* PI n))))) (log (* PI 2)))))))), (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))), (exp (* (* (- 1 k) 1/2) (- (log (* PI -2)) (log (/ -1 n))))), (* PI n), (* PI n), (* PI n), (- (- (* (log (* PI 2)) (* (* (log n) (exp (* 1/2 (log (* 2 (* PI n)))))) (* (* k k) +nan.0))) (+ (- (* (* (exp (* 1/2 (log (* 2 (* PI n))))) (* (* k k) (log (* PI 2)))) +nan.0) (* (exp (* 1/2 (log (* 2 (* PI n))))) (* +nan.0 (* (* (log n) k) (* (log n) k))))) (- (* k (* +nan.0 (exp (* 1/2 (log (* 2 (* PI n))))))) (- (* +nan.0 (exp (* 1/2 (log (* 2 (* PI n)))))) (+ (- (* (* (exp (* 1/2 (log (* 2 (* PI n))))) (* (* k k) +nan.0)) (* (log (* PI 2)) (log (* PI 2)))) (* (* (log n) (exp (* 1/2 (log (* 2 (* PI n)))))) (* (* k k) +nan.0))) (+ (- (* (exp (* 1/2 (log (* 2 (* PI n))))) (* (* k k) +nan.0)) (* (* (* (log (* PI 2)) k) (exp (* 1/2 (log (* 2 (* PI n)))))) +nan.0)) (* (* +nan.0 (exp (* 1/2 (log (* 2 (* PI n)))))) (* (log n) k))))))))), (+ (* (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) k) (- +nan.0)) (- (* +nan.0 (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) (* k k))) (/ (* +nan.0 (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) (* k k))) k))), (+ (* +nan.0 (- (/ (exp (* (* (- 1 k) 1/2) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (* (- 1 k) 1/2) (- (log (* PI -2)) (log (/ -1 n))))))) (* (- +nan.0) (/ (exp (* (* (- 1 k) 1/2) (- (log (* PI -2)) (log (/ -1 n))))) k)))
6.722 * * * [progress]: adding candidates to table
7.972 * * [progress]: iteration 3 / 4
7.972 * * * [progress]: picking best candidate
8.424 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
8.425 * * * [progress]: localizing error
8.461 * * * [progress]: generating rewritten candidates
8.461 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
8.475 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
8.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
8.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
8.564 * * * [progress]: generating series expansions
8.564 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
8.565 * [backup-simplify]: Simplify (pow (* n (* PI 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
8.565 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
8.565 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.565 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.565 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.565 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.566 * [taylor]: Taking taylor expansion of 1/2 in k
8.566 * [backup-simplify]: Simplify 1/2 into 1/2
8.566 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.566 * [taylor]: Taking taylor expansion of 1 in k
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [taylor]: Taking taylor expansion of k in k
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [backup-simplify]: Simplify 1 into 1
8.566 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.566 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.566 * [taylor]: Taking taylor expansion of 2 in k
8.566 * [backup-simplify]: Simplify 2 into 2
8.566 * [taylor]: Taking taylor expansion of (* n PI) in k
8.566 * [taylor]: Taking taylor expansion of n in k
8.566 * [backup-simplify]: Simplify n into n
8.566 * [taylor]: Taking taylor expansion of PI in k
8.566 * [backup-simplify]: Simplify PI into PI
8.566 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.566 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.566 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.567 * [backup-simplify]: Simplify (- 0) into 0
8.567 * [backup-simplify]: Simplify (+ 1 0) into 1
8.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.568 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.568 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.568 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.568 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.568 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.568 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.568 * [taylor]: Taking taylor expansion of 1/2 in n
8.568 * [backup-simplify]: Simplify 1/2 into 1/2
8.568 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.568 * [taylor]: Taking taylor expansion of 1 in n
8.568 * [backup-simplify]: Simplify 1 into 1
8.568 * [taylor]: Taking taylor expansion of k in n
8.568 * [backup-simplify]: Simplify k into k
8.568 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.568 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.568 * [taylor]: Taking taylor expansion of 2 in n
8.568 * [backup-simplify]: Simplify 2 into 2
8.568 * [taylor]: Taking taylor expansion of (* n PI) in n
8.568 * [taylor]: Taking taylor expansion of n in n
8.568 * [backup-simplify]: Simplify 0 into 0
8.568 * [backup-simplify]: Simplify 1 into 1
8.568 * [taylor]: Taking taylor expansion of PI in n
8.568 * [backup-simplify]: Simplify PI into PI
8.569 * [backup-simplify]: Simplify (* 0 PI) into 0
8.569 * [backup-simplify]: Simplify (* 2 0) into 0
8.571 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.573 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.574 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.574 * [backup-simplify]: Simplify (- k) into (- k)
8.574 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.574 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.576 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.577 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.578 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.578 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.578 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.578 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.578 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.578 * [taylor]: Taking taylor expansion of 1/2 in n
8.578 * [backup-simplify]: Simplify 1/2 into 1/2
8.578 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.578 * [taylor]: Taking taylor expansion of 1 in n
8.578 * [backup-simplify]: Simplify 1 into 1
8.578 * [taylor]: Taking taylor expansion of k in n
8.578 * [backup-simplify]: Simplify k into k
8.578 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.578 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.578 * [taylor]: Taking taylor expansion of 2 in n
8.578 * [backup-simplify]: Simplify 2 into 2
8.578 * [taylor]: Taking taylor expansion of (* n PI) in n
8.578 * [taylor]: Taking taylor expansion of n in n
8.578 * [backup-simplify]: Simplify 0 into 0
8.578 * [backup-simplify]: Simplify 1 into 1
8.579 * [taylor]: Taking taylor expansion of PI in n
8.579 * [backup-simplify]: Simplify PI into PI
8.579 * [backup-simplify]: Simplify (* 0 PI) into 0
8.579 * [backup-simplify]: Simplify (* 2 0) into 0
8.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.583 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.584 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.584 * [backup-simplify]: Simplify (- k) into (- k)
8.584 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.584 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.585 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.586 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.588 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.588 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
8.588 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
8.588 * [taylor]: Taking taylor expansion of 1/2 in k
8.588 * [backup-simplify]: Simplify 1/2 into 1/2
8.588 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
8.588 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.588 * [taylor]: Taking taylor expansion of 1 in k
8.588 * [backup-simplify]: Simplify 1 into 1
8.588 * [taylor]: Taking taylor expansion of k in k
8.588 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify 1 into 1
8.588 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
8.588 * [taylor]: Taking taylor expansion of (log n) in k
8.588 * [taylor]: Taking taylor expansion of n in k
8.588 * [backup-simplify]: Simplify n into n
8.588 * [backup-simplify]: Simplify (log n) into (log n)
8.588 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
8.588 * [taylor]: Taking taylor expansion of (* 2 PI) in k
8.588 * [taylor]: Taking taylor expansion of 2 in k
8.588 * [backup-simplify]: Simplify 2 into 2
8.588 * [taylor]: Taking taylor expansion of PI in k
8.588 * [backup-simplify]: Simplify PI into PI
8.589 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.590 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.590 * [backup-simplify]: Simplify (- 0) into 0
8.591 * [backup-simplify]: Simplify (+ 1 0) into 1
8.592 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.593 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
8.594 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
8.595 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
8.596 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
8.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.598 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.600 * [backup-simplify]: Simplify (- 0) into 0
8.601 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
8.603 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.604 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
8.606 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.606 * [taylor]: Taking taylor expansion of 0 in k
8.606 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
8.607 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.614 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.615 * [backup-simplify]: Simplify (+ 0 0) into 0
8.615 * [backup-simplify]: Simplify (- 1) into -1
8.616 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.618 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
8.620 * [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)))))
8.623 * [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)))))))
8.626 * [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)))))))
8.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.633 * [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
8.633 * [backup-simplify]: Simplify (- 0) into 0
8.634 * [backup-simplify]: Simplify (+ 0 0) into 0
8.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
8.636 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.638 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.640 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.640 * [taylor]: Taking taylor expansion of 0 in k
8.640 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify 0 into 0
8.640 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
8.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.646 * [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
8.646 * [backup-simplify]: Simplify (+ 0 0) into 0
8.646 * [backup-simplify]: Simplify (- 0) into 0
8.647 * [backup-simplify]: Simplify (+ 0 0) into 0
8.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
8.652 * [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)))))
8.655 * [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)))))
8.660 * [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)))))
8.661 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
8.661 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
8.661 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.661 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.661 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.661 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.661 * [taylor]: Taking taylor expansion of 1/2 in k
8.661 * [backup-simplify]: Simplify 1/2 into 1/2
8.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.661 * [taylor]: Taking taylor expansion of 1 in k
8.661 * [backup-simplify]: Simplify 1 into 1
8.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.661 * [taylor]: Taking taylor expansion of k in k
8.661 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify 1 into 1
8.661 * [backup-simplify]: Simplify (/ 1 1) into 1
8.661 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.661 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.661 * [taylor]: Taking taylor expansion of 2 in k
8.661 * [backup-simplify]: Simplify 2 into 2
8.661 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.661 * [taylor]: Taking taylor expansion of PI in k
8.661 * [backup-simplify]: Simplify PI into PI
8.661 * [taylor]: Taking taylor expansion of n in k
8.661 * [backup-simplify]: Simplify n into n
8.661 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.661 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.661 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.662 * [backup-simplify]: Simplify (- 1) into -1
8.662 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.662 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.662 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.662 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.663 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.663 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.663 * [taylor]: Taking taylor expansion of 1/2 in n
8.663 * [backup-simplify]: Simplify 1/2 into 1/2
8.663 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.663 * [taylor]: Taking taylor expansion of 1 in n
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.663 * [taylor]: Taking taylor expansion of k in n
8.663 * [backup-simplify]: Simplify k into k
8.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.663 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.663 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.663 * [taylor]: Taking taylor expansion of 2 in n
8.663 * [backup-simplify]: Simplify 2 into 2
8.663 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.663 * [taylor]: Taking taylor expansion of PI in n
8.663 * [backup-simplify]: Simplify PI into PI
8.663 * [taylor]: Taking taylor expansion of n in n
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [backup-simplify]: Simplify (/ PI 1) into PI
8.664 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.664 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.664 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.664 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.664 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.666 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.667 * [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)))))
8.667 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.667 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.667 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.667 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.667 * [taylor]: Taking taylor expansion of 1/2 in n
8.667 * [backup-simplify]: Simplify 1/2 into 1/2
8.667 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.667 * [taylor]: Taking taylor expansion of 1 in n
8.667 * [backup-simplify]: Simplify 1 into 1
8.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.667 * [taylor]: Taking taylor expansion of k in n
8.667 * [backup-simplify]: Simplify k into k
8.667 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.667 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.667 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.667 * [taylor]: Taking taylor expansion of 2 in n
8.667 * [backup-simplify]: Simplify 2 into 2
8.667 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.667 * [taylor]: Taking taylor expansion of PI in n
8.667 * [backup-simplify]: Simplify PI into PI
8.667 * [taylor]: Taking taylor expansion of n in n
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.667 * [backup-simplify]: Simplify (/ PI 1) into PI
8.668 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.668 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.668 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.668 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.668 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.670 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.671 * [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)))))
8.671 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
8.671 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
8.671 * [taylor]: Taking taylor expansion of 1/2 in k
8.671 * [backup-simplify]: Simplify 1/2 into 1/2
8.671 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
8.671 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.671 * [taylor]: Taking taylor expansion of 1 in k
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.671 * [taylor]: Taking taylor expansion of k in k
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [backup-simplify]: Simplify (/ 1 1) into 1
8.671 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
8.671 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
8.671 * [taylor]: Taking taylor expansion of (* 2 PI) in k
8.671 * [taylor]: Taking taylor expansion of 2 in k
8.671 * [backup-simplify]: Simplify 2 into 2
8.671 * [taylor]: Taking taylor expansion of PI in k
8.671 * [backup-simplify]: Simplify PI into PI
8.672 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.672 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.672 * [taylor]: Taking taylor expansion of (log n) in k
8.672 * [taylor]: Taking taylor expansion of n in k
8.672 * [backup-simplify]: Simplify n into n
8.672 * [backup-simplify]: Simplify (log n) into (log n)
8.673 * [backup-simplify]: Simplify (- 1) into -1
8.673 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.673 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.674 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
8.674 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
8.675 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
8.676 * [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)))))
8.676 * [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)))))
8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.677 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.679 * [backup-simplify]: Simplify (- 0) into 0
8.679 * [backup-simplify]: Simplify (+ 0 0) into 0
8.679 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
8.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.681 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.682 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.682 * [taylor]: Taking taylor expansion of 0 in k
8.682 * [backup-simplify]: Simplify 0 into 0
8.682 * [backup-simplify]: Simplify 0 into 0
8.682 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.685 * [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
8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.685 * [backup-simplify]: Simplify (- 0) into 0
8.686 * [backup-simplify]: Simplify (+ 0 0) into 0
8.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
8.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.688 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
8.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.689 * [taylor]: Taking taylor expansion of 0 in k
8.689 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.691 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.694 * [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
8.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.695 * [backup-simplify]: Simplify (- 0) into 0
8.695 * [backup-simplify]: Simplify (+ 0 0) into 0
8.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
8.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.698 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
8.699 * [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
8.699 * [taylor]: Taking taylor expansion of 0 in k
8.699 * [backup-simplify]: Simplify 0 into 0
8.699 * [backup-simplify]: Simplify 0 into 0
8.700 * [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))))))
8.701 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
8.701 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
8.701 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.701 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.701 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.701 * [taylor]: Taking taylor expansion of 1/2 in k
8.701 * [backup-simplify]: Simplify 1/2 into 1/2
8.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.701 * [taylor]: Taking taylor expansion of k in k
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [backup-simplify]: Simplify (/ 1 1) into 1
8.701 * [taylor]: Taking taylor expansion of 1 in k
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.701 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.701 * [taylor]: Taking taylor expansion of -2 in k
8.701 * [backup-simplify]: Simplify -2 into -2
8.701 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.701 * [taylor]: Taking taylor expansion of PI in k
8.701 * [backup-simplify]: Simplify PI into PI
8.701 * [taylor]: Taking taylor expansion of n in k
8.701 * [backup-simplify]: Simplify n into n
8.701 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.701 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.701 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.702 * [backup-simplify]: Simplify (+ 1 0) into 1
8.702 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.702 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.702 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.702 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.702 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.702 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.702 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.702 * [taylor]: Taking taylor expansion of 1/2 in n
8.702 * [backup-simplify]: Simplify 1/2 into 1/2
8.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.702 * [taylor]: Taking taylor expansion of k in n
8.702 * [backup-simplify]: Simplify k into k
8.702 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.702 * [taylor]: Taking taylor expansion of 1 in n
8.702 * [backup-simplify]: Simplify 1 into 1
8.702 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.702 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.702 * [taylor]: Taking taylor expansion of -2 in n
8.702 * [backup-simplify]: Simplify -2 into -2
8.702 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.702 * [taylor]: Taking taylor expansion of PI in n
8.702 * [backup-simplify]: Simplify PI into PI
8.702 * [taylor]: Taking taylor expansion of n in n
8.702 * [backup-simplify]: Simplify 0 into 0
8.702 * [backup-simplify]: Simplify 1 into 1
8.703 * [backup-simplify]: Simplify (/ PI 1) into PI
8.703 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.704 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.704 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.704 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.705 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.706 * [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)))))
8.706 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.706 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.706 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.706 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.706 * [taylor]: Taking taylor expansion of 1/2 in n
8.706 * [backup-simplify]: Simplify 1/2 into 1/2
8.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.706 * [taylor]: Taking taylor expansion of k in n
8.706 * [backup-simplify]: Simplify k into k
8.706 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.706 * [taylor]: Taking taylor expansion of 1 in n
8.706 * [backup-simplify]: Simplify 1 into 1
8.706 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.706 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.706 * [taylor]: Taking taylor expansion of -2 in n
8.706 * [backup-simplify]: Simplify -2 into -2
8.706 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.706 * [taylor]: Taking taylor expansion of PI in n
8.706 * [backup-simplify]: Simplify PI into PI
8.706 * [taylor]: Taking taylor expansion of n in n
8.706 * [backup-simplify]: Simplify 0 into 0
8.706 * [backup-simplify]: Simplify 1 into 1
8.707 * [backup-simplify]: Simplify (/ PI 1) into PI
8.707 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.708 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.708 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.708 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.709 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.710 * [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)))))
8.710 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
8.710 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
8.710 * [taylor]: Taking taylor expansion of 1/2 in k
8.710 * [backup-simplify]: Simplify 1/2 into 1/2
8.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
8.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.710 * [taylor]: Taking taylor expansion of k in k
8.710 * [backup-simplify]: Simplify 0 into 0
8.710 * [backup-simplify]: Simplify 1 into 1
8.710 * [backup-simplify]: Simplify (/ 1 1) into 1
8.710 * [taylor]: Taking taylor expansion of 1 in k
8.710 * [backup-simplify]: Simplify 1 into 1
8.710 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
8.710 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
8.710 * [taylor]: Taking taylor expansion of (* -2 PI) in k
8.710 * [taylor]: Taking taylor expansion of -2 in k
8.711 * [backup-simplify]: Simplify -2 into -2
8.711 * [taylor]: Taking taylor expansion of PI in k
8.711 * [backup-simplify]: Simplify PI into PI
8.711 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.711 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.711 * [taylor]: Taking taylor expansion of (log n) in k
8.711 * [taylor]: Taking taylor expansion of n in k
8.711 * [backup-simplify]: Simplify n into n
8.712 * [backup-simplify]: Simplify (log n) into (log n)
8.712 * [backup-simplify]: Simplify (+ 1 0) into 1
8.712 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
8.712 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
8.713 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
8.715 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
8.716 * [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)))))
8.717 * [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)))))
8.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.718 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.719 * [backup-simplify]: Simplify (+ 0 0) into 0
8.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
8.721 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.721 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
8.722 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.722 * [taylor]: Taking taylor expansion of 0 in k
8.722 * [backup-simplify]: Simplify 0 into 0
8.722 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify 0 into 0
8.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.724 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
8.726 * [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
8.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.726 * [backup-simplify]: Simplify (+ 0 0) into 0
8.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
8.727 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.728 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
8.730 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.730 * [taylor]: Taking taylor expansion of 0 in k
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify 0 into 0
8.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.733 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.736 * [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
8.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
8.738 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.739 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
8.741 * [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
8.741 * [taylor]: Taking taylor expansion of 0 in k
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify 0 into 0
8.742 * [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))))))
8.742 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
8.743 * [backup-simplify]: Simplify (* n (* PI 2)) into (* 2 (* n PI))
8.743 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
8.743 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.743 * [taylor]: Taking taylor expansion of 2 in n
8.743 * [backup-simplify]: Simplify 2 into 2
8.743 * [taylor]: Taking taylor expansion of (* n PI) in n
8.743 * [taylor]: Taking taylor expansion of n in n
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [taylor]: Taking taylor expansion of PI in n
8.743 * [backup-simplify]: Simplify PI into PI
8.743 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.743 * [taylor]: Taking taylor expansion of 2 in n
8.743 * [backup-simplify]: Simplify 2 into 2
8.743 * [taylor]: Taking taylor expansion of (* n PI) in n
8.743 * [taylor]: Taking taylor expansion of n in n
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [taylor]: Taking taylor expansion of PI in n
8.743 * [backup-simplify]: Simplify PI into PI
8.743 * [backup-simplify]: Simplify (* 0 PI) into 0
8.743 * [backup-simplify]: Simplify (* 2 0) into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.746 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.746 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.747 * [backup-simplify]: Simplify 0 into 0
8.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
8.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
8.749 * [backup-simplify]: Simplify 0 into 0
8.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
8.750 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.752 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
8.752 * [backup-simplify]: Simplify 0 into 0
8.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.754 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
8.754 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
8.756 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
8.756 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
8.757 * [backup-simplify]: Simplify (* (/ 1 n) (* PI 2)) into (* 2 (/ PI n))
8.757 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
8.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.757 * [taylor]: Taking taylor expansion of 2 in n
8.757 * [backup-simplify]: Simplify 2 into 2
8.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.757 * [taylor]: Taking taylor expansion of PI in n
8.757 * [backup-simplify]: Simplify PI into PI
8.757 * [taylor]: Taking taylor expansion of n in n
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [backup-simplify]: Simplify (/ PI 1) into PI
8.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.757 * [taylor]: Taking taylor expansion of 2 in n
8.757 * [backup-simplify]: Simplify 2 into 2
8.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.757 * [taylor]: Taking taylor expansion of PI in n
8.757 * [backup-simplify]: Simplify PI into PI
8.757 * [taylor]: Taking taylor expansion of n in n
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.758 * [backup-simplify]: Simplify (/ PI 1) into PI
8.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.759 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.759 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
8.760 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.762 * [backup-simplify]: Simplify 0 into 0
8.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.763 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.765 * [backup-simplify]: Simplify 0 into 0
8.765 * [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
8.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.766 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
8.767 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* PI 2)) into (* -2 (/ PI n))
8.767 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
8.767 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.767 * [taylor]: Taking taylor expansion of -2 in n
8.767 * [backup-simplify]: Simplify -2 into -2
8.767 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.767 * [taylor]: Taking taylor expansion of PI in n
8.767 * [backup-simplify]: Simplify PI into PI
8.767 * [taylor]: Taking taylor expansion of n in n
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.767 * [backup-simplify]: Simplify (/ PI 1) into PI
8.767 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.767 * [taylor]: Taking taylor expansion of -2 in n
8.767 * [backup-simplify]: Simplify -2 into -2
8.767 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.767 * [taylor]: Taking taylor expansion of PI in n
8.767 * [backup-simplify]: Simplify PI into PI
8.767 * [taylor]: Taking taylor expansion of n in n
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.768 * [backup-simplify]: Simplify (/ PI 1) into PI
8.768 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.768 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.769 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.769 * [backup-simplify]: Simplify 0 into 0
8.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
8.771 * [backup-simplify]: Simplify 0 into 0
8.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.772 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
8.772 * [backup-simplify]: Simplify 0 into 0
8.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
8.775 * [backup-simplify]: Simplify 0 into 0
8.776 * [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
8.777 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
8.777 * [backup-simplify]: Simplify 0 into 0
8.777 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
8.777 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
8.778 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) into (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k))
8.778 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in (k n) around 0
8.778 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in n
8.778 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n
8.778 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
8.778 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
8.778 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
8.778 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
8.778 * [taylor]: Taking taylor expansion of 1/2 in n
8.778 * [backup-simplify]: Simplify 1/2 into 1/2
8.778 * [taylor]: Taking taylor expansion of (- 1 k) in n
8.778 * [taylor]: Taking taylor expansion of 1 in n
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of k in n
8.778 * [backup-simplify]: Simplify k into k
8.778 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.778 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.778 * [taylor]: Taking taylor expansion of 2 in n
8.778 * [backup-simplify]: Simplify 2 into 2
8.778 * [taylor]: Taking taylor expansion of (* n PI) in n
8.778 * [taylor]: Taking taylor expansion of n in n
8.778 * [backup-simplify]: Simplify 0 into 0
8.778 * [backup-simplify]: Simplify 1 into 1
8.778 * [taylor]: Taking taylor expansion of PI in n
8.778 * [backup-simplify]: Simplify PI into PI
8.779 * [backup-simplify]: Simplify (* 0 PI) into 0
8.779 * [backup-simplify]: Simplify (* 2 0) into 0
8.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.782 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.783 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.783 * [backup-simplify]: Simplify (- k) into (- k)
8.783 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
8.783 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
8.785 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.786 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
8.787 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
8.788 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (/ 1 (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))
8.788 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.788 * [taylor]: Taking taylor expansion of k in n
8.788 * [backup-simplify]: Simplify k into k
8.788 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.788 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
8.788 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
8.788 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.789 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.789 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.789 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.789 * [taylor]: Taking taylor expansion of 1/2 in k
8.789 * [backup-simplify]: Simplify 1/2 into 1/2
8.789 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.789 * [taylor]: Taking taylor expansion of 1 in k
8.789 * [backup-simplify]: Simplify 1 into 1
8.789 * [taylor]: Taking taylor expansion of k in k
8.789 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify 1 into 1
8.789 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.789 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.789 * [taylor]: Taking taylor expansion of 2 in k
8.789 * [backup-simplify]: Simplify 2 into 2
8.789 * [taylor]: Taking taylor expansion of (* n PI) in k
8.789 * [taylor]: Taking taylor expansion of n in k
8.789 * [backup-simplify]: Simplify n into n
8.789 * [taylor]: Taking taylor expansion of PI in k
8.789 * [backup-simplify]: Simplify PI into PI
8.789 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.789 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.789 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.790 * [backup-simplify]: Simplify (- 0) into 0
8.790 * [backup-simplify]: Simplify (+ 1 0) into 1
8.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.791 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.791 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.791 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
8.791 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.791 * [taylor]: Taking taylor expansion of k in k
8.791 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify 1 into 1
8.791 * [backup-simplify]: Simplify (sqrt 0) into 0
8.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.793 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) (sqrt k)) in k
8.793 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k
8.793 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
8.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
8.793 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
8.793 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
8.793 * [taylor]: Taking taylor expansion of 1/2 in k
8.793 * [backup-simplify]: Simplify 1/2 into 1/2
8.793 * [taylor]: Taking taylor expansion of (- 1 k) in k
8.793 * [taylor]: Taking taylor expansion of 1 in k
8.793 * [backup-simplify]: Simplify 1 into 1
8.793 * [taylor]: Taking taylor expansion of k in k
8.793 * [backup-simplify]: Simplify 0 into 0
8.793 * [backup-simplify]: Simplify 1 into 1
8.793 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
8.793 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
8.793 * [taylor]: Taking taylor expansion of 2 in k
8.793 * [backup-simplify]: Simplify 2 into 2
8.793 * [taylor]: Taking taylor expansion of (* n PI) in k
8.793 * [taylor]: Taking taylor expansion of n in k
8.793 * [backup-simplify]: Simplify n into n
8.793 * [taylor]: Taking taylor expansion of PI in k
8.793 * [backup-simplify]: Simplify PI into PI
8.793 * [backup-simplify]: Simplify (* n PI) into (* n PI)
8.794 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
8.794 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
8.794 * [backup-simplify]: Simplify (- 0) into 0
8.794 * [backup-simplify]: Simplify (+ 1 0) into 1
8.794 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.794 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
8.795 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
8.795 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
8.795 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.795 * [taylor]: Taking taylor expansion of k in k
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [backup-simplify]: Simplify (sqrt 0) into 0
8.796 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.796 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
8.796 * [taylor]: Taking taylor expansion of 0 in n
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify 0 into 0
8.796 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
8.797 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
8.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
8.798 * [backup-simplify]: Simplify (- 1) into -1
8.798 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.798 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
8.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
8.799 * [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)))))
8.799 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
8.800 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
8.801 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
8.801 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
8.801 * [taylor]: Taking taylor expansion of +nan.0 in n
8.801 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.801 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
8.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
8.801 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
8.801 * [taylor]: Taking taylor expansion of (* n PI) in n
8.801 * [taylor]: Taking taylor expansion of n in n
8.801 * [backup-simplify]: Simplify 0 into 0
8.801 * [backup-simplify]: Simplify 1 into 1
8.801 * [taylor]: Taking taylor expansion of PI in n
8.801 * [backup-simplify]: Simplify PI into PI
8.801 * [backup-simplify]: Simplify (* 0 PI) into 0
8.802 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.803 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
8.803 * [backup-simplify]: Simplify (sqrt 0) into 0
8.804 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
8.804 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
8.804 * [taylor]: Taking taylor expansion of 1/2 in n
8.804 * [backup-simplify]: Simplify 1/2 into 1/2
8.804 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.806 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.807 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.810 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.814 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.815 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.815 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.818 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
8.818 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
8.819 * [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
8.819 * [backup-simplify]: Simplify (- 0) into 0
8.820 * [backup-simplify]: Simplify (+ 0 0) into 0
8.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
8.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
8.822 * [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)))
8.823 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
8.828 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
8.828 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
8.828 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
8.828 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
8.828 * [taylor]: Taking taylor expansion of +nan.0 in n
8.828 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.828 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
8.829 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
8.829 * [taylor]: Taking taylor expansion of (sqrt 2) in n
8.829 * [taylor]: Taking taylor expansion of 2 in n
8.829 * [backup-simplify]: Simplify 2 into 2
8.829 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
8.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
8.830 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
8.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
8.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
8.830 * [taylor]: Taking taylor expansion of 2 in n
8.830 * [backup-simplify]: Simplify 2 into 2
8.830 * [taylor]: Taking taylor expansion of (* n PI) in n
8.830 * [taylor]: Taking taylor expansion of n in n
8.830 * [backup-simplify]: Simplify 0 into 0
8.830 * [backup-simplify]: Simplify 1 into 1
8.830 * [taylor]: Taking taylor expansion of PI in n
8.830 * [backup-simplify]: Simplify PI into PI
8.830 * [backup-simplify]: Simplify (* 0 PI) into 0
8.831 * [backup-simplify]: Simplify (* 2 0) into 0
8.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.834 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
8.835 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.835 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
8.835 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
8.835 * [taylor]: Taking taylor expansion of 1/2 in n
8.836 * [backup-simplify]: Simplify 1/2 into 1/2
8.836 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.837 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
8.837 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
8.837 * [taylor]: Taking taylor expansion of (* n PI) in n
8.837 * [taylor]: Taking taylor expansion of n in n
8.837 * [backup-simplify]: Simplify 0 into 0
8.837 * [backup-simplify]: Simplify 1 into 1
8.837 * [taylor]: Taking taylor expansion of PI in n
8.837 * [backup-simplify]: Simplify PI into PI
8.837 * [backup-simplify]: Simplify (* 0 PI) into 0
8.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.840 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
8.840 * [backup-simplify]: Simplify (sqrt 0) into 0
8.842 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
8.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
8.842 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
8.842 * [taylor]: Taking taylor expansion of +nan.0 in n
8.842 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.842 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
8.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
8.842 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
8.842 * [taylor]: Taking taylor expansion of (* n PI) in n
8.842 * [taylor]: Taking taylor expansion of n in n
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [taylor]: Taking taylor expansion of PI in n
8.842 * [backup-simplify]: Simplify PI into PI
8.842 * [backup-simplify]: Simplify (* 0 PI) into 0
8.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
8.843 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
8.844 * [backup-simplify]: Simplify (sqrt 0) into 0
8.845 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
8.845 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
8.845 * [taylor]: Taking taylor expansion of 1/2 in n
8.845 * [backup-simplify]: Simplify 1/2 into 1/2
8.845 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
8.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.847 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
8.848 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
8.850 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
8.851 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
8.851 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
8.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
8.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.855 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
8.856 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
8.858 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
8.860 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
8.867 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
8.869 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.869 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
8.872 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.874 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
8.883 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
8.901 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
8.923 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
8.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
8.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
8.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
8.931 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
8.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
8.948 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
8.953 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
8.957 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
8.972 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
8.972 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2))) into (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k)))
8.972 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
8.972 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in n
8.972 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n
8.972 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.972 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.972 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.973 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.973 * [taylor]: Taking taylor expansion of 1/2 in n
8.973 * [backup-simplify]: Simplify 1/2 into 1/2
8.973 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.973 * [taylor]: Taking taylor expansion of 1 in n
8.973 * [backup-simplify]: Simplify 1 into 1
8.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.973 * [taylor]: Taking taylor expansion of k in n
8.973 * [backup-simplify]: Simplify k into k
8.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.973 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.973 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.973 * [taylor]: Taking taylor expansion of 2 in n
8.973 * [backup-simplify]: Simplify 2 into 2
8.973 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.973 * [taylor]: Taking taylor expansion of PI in n
8.973 * [backup-simplify]: Simplify PI into PI
8.973 * [taylor]: Taking taylor expansion of n in n
8.973 * [backup-simplify]: Simplify 0 into 0
8.973 * [backup-simplify]: Simplify 1 into 1
8.973 * [backup-simplify]: Simplify (/ PI 1) into PI
8.973 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.974 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.974 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.974 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.974 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.975 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.976 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.976 * [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)))))
8.977 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
8.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.977 * [taylor]: Taking taylor expansion of k in n
8.977 * [backup-simplify]: Simplify k into k
8.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.977 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
8.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
8.977 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
8.977 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
8.977 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.977 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.978 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.978 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.978 * [taylor]: Taking taylor expansion of 1/2 in k
8.978 * [backup-simplify]: Simplify 1/2 into 1/2
8.978 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.978 * [taylor]: Taking taylor expansion of 1 in k
8.978 * [backup-simplify]: Simplify 1 into 1
8.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.978 * [taylor]: Taking taylor expansion of k in k
8.978 * [backup-simplify]: Simplify 0 into 0
8.978 * [backup-simplify]: Simplify 1 into 1
8.978 * [backup-simplify]: Simplify (/ 1 1) into 1
8.978 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.978 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.978 * [taylor]: Taking taylor expansion of 2 in k
8.978 * [backup-simplify]: Simplify 2 into 2
8.978 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.978 * [taylor]: Taking taylor expansion of PI in k
8.978 * [backup-simplify]: Simplify PI into PI
8.978 * [taylor]: Taking taylor expansion of n in k
8.978 * [backup-simplify]: Simplify n into n
8.978 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.978 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.978 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.978 * [backup-simplify]: Simplify (- 1) into -1
8.979 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.979 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.979 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.979 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.979 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
8.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.979 * [taylor]: Taking taylor expansion of k in k
8.979 * [backup-simplify]: Simplify 0 into 0
8.979 * [backup-simplify]: Simplify 1 into 1
8.980 * [backup-simplify]: Simplify (/ 1 1) into 1
8.980 * [backup-simplify]: Simplify (sqrt 0) into 0
8.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.981 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) (sqrt (/ 1 k))) in k
8.981 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k
8.981 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.981 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.981 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.981 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.981 * [taylor]: Taking taylor expansion of 1/2 in k
8.981 * [backup-simplify]: Simplify 1/2 into 1/2
8.981 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.981 * [taylor]: Taking taylor expansion of 1 in k
8.981 * [backup-simplify]: Simplify 1 into 1
8.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.981 * [taylor]: Taking taylor expansion of k in k
8.981 * [backup-simplify]: Simplify 0 into 0
8.981 * [backup-simplify]: Simplify 1 into 1
8.981 * [backup-simplify]: Simplify (/ 1 1) into 1
8.981 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.981 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.981 * [taylor]: Taking taylor expansion of 2 in k
8.981 * [backup-simplify]: Simplify 2 into 2
8.981 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.981 * [taylor]: Taking taylor expansion of PI in k
8.981 * [backup-simplify]: Simplify PI into PI
8.981 * [taylor]: Taking taylor expansion of n in k
8.981 * [backup-simplify]: Simplify n into n
8.981 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.982 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.982 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.982 * [backup-simplify]: Simplify (- 1) into -1
8.982 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.982 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.983 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.983 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.983 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
8.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
8.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.983 * [taylor]: Taking taylor expansion of k in k
8.983 * [backup-simplify]: Simplify 0 into 0
8.983 * [backup-simplify]: Simplify 1 into 1
8.983 * [backup-simplify]: Simplify (/ 1 1) into 1
8.983 * [backup-simplify]: Simplify (sqrt 0) into 0
8.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.984 * [backup-simplify]: Simplify (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) 0) into 0
8.984 * [taylor]: Taking taylor expansion of 0 in n
8.985 * [backup-simplify]: Simplify 0 into 0
8.985 * [backup-simplify]: Simplify 0 into 0
8.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
8.985 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
8.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
8.985 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.985 * [taylor]: Taking taylor expansion of +nan.0 in n
8.985 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.985 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.985 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.985 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.985 * [taylor]: Taking taylor expansion of 1/2 in n
8.985 * [backup-simplify]: Simplify 1/2 into 1/2
8.985 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.985 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.985 * [taylor]: Taking taylor expansion of 1 in n
8.985 * [backup-simplify]: Simplify 1 into 1
8.985 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.985 * [taylor]: Taking taylor expansion of k in n
8.985 * [backup-simplify]: Simplify k into k
8.986 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.986 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.986 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.986 * [taylor]: Taking taylor expansion of 2 in n
8.986 * [backup-simplify]: Simplify 2 into 2
8.986 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.986 * [taylor]: Taking taylor expansion of PI in n
8.986 * [backup-simplify]: Simplify PI into PI
8.986 * [taylor]: Taking taylor expansion of n in n
8.986 * [backup-simplify]: Simplify 0 into 0
8.986 * [backup-simplify]: Simplify 1 into 1
8.986 * [backup-simplify]: Simplify (/ PI 1) into PI
8.986 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.987 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.987 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.987 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.988 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.989 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.990 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.990 * [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)))))
8.991 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.992 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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))))))
8.992 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
8.993 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
8.993 * [backup-simplify]: Simplify 0 into 0
8.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.995 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
8.996 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
8.996 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
8.996 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.996 * [taylor]: Taking taylor expansion of +nan.0 in n
8.996 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.996 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.997 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.997 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.997 * [taylor]: Taking taylor expansion of 1/2 in n
8.997 * [backup-simplify]: Simplify 1/2 into 1/2
8.997 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.997 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.997 * [taylor]: Taking taylor expansion of 1 in n
8.997 * [backup-simplify]: Simplify 1 into 1
8.997 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.997 * [taylor]: Taking taylor expansion of k in n
8.997 * [backup-simplify]: Simplify k into k
8.997 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.997 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.997 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.997 * [taylor]: Taking taylor expansion of 2 in n
8.997 * [backup-simplify]: Simplify 2 into 2
8.997 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.997 * [taylor]: Taking taylor expansion of PI in n
8.997 * [backup-simplify]: Simplify PI into PI
8.997 * [taylor]: Taking taylor expansion of n in n
8.997 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify 1 into 1
8.997 * [backup-simplify]: Simplify (/ PI 1) into PI
8.998 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.999 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.999 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.999 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.000 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.001 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
9.002 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.004 * [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)))))
9.005 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
9.006 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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))))))
9.007 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
9.008 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.012 * [backup-simplify]: Simplify (- 0) into 0
9.013 * [backup-simplify]: Simplify (+ 0 0) into 0
9.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.015 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
9.019 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
9.023 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
9.023 * [backup-simplify]: Simplify (- 0) into 0
9.023 * [backup-simplify]: Simplify 0 into 0
9.023 * [backup-simplify]: Simplify 0 into 0
9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) (* 0 (/ 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))) into 0
9.033 * [backup-simplify]: Simplify (+ (* (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))))
9.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))) in n
9.033 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
9.033 * [taylor]: Taking taylor expansion of +nan.0 in n
9.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.033 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
9.033 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
9.033 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
9.033 * [taylor]: Taking taylor expansion of 1/2 in n
9.033 * [backup-simplify]: Simplify 1/2 into 1/2
9.033 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
9.033 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.033 * [taylor]: Taking taylor expansion of 1 in n
9.033 * [backup-simplify]: Simplify 1 into 1
9.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.033 * [taylor]: Taking taylor expansion of k in n
9.033 * [backup-simplify]: Simplify k into k
9.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.034 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.034 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.034 * [taylor]: Taking taylor expansion of 2 in n
9.034 * [backup-simplify]: Simplify 2 into 2
9.034 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.034 * [taylor]: Taking taylor expansion of PI in n
9.034 * [backup-simplify]: Simplify PI into PI
9.034 * [taylor]: Taking taylor expansion of n in n
9.034 * [backup-simplify]: Simplify 0 into 0
9.034 * [backup-simplify]: Simplify 1 into 1
9.035 * [backup-simplify]: Simplify (/ PI 1) into PI
9.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.036 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.036 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.037 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.039 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
9.040 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.041 * [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)))))
9.043 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
9.044 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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))))))
9.045 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
9.046 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))
9.050 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))
9.051 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
9.051 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
9.051 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
9.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
9.051 * [taylor]: Taking taylor expansion of (/ -1 k) in n
9.051 * [taylor]: Taking taylor expansion of -1 in n
9.051 * [backup-simplify]: Simplify -1 into -1
9.051 * [taylor]: Taking taylor expansion of k in n
9.051 * [backup-simplify]: Simplify k into k
9.052 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
9.052 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
9.052 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
9.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
9.052 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.052 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.052 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.052 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.052 * [taylor]: Taking taylor expansion of 1/2 in n
9.052 * [backup-simplify]: Simplify 1/2 into 1/2
9.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.052 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.052 * [taylor]: Taking taylor expansion of k in n
9.052 * [backup-simplify]: Simplify k into k
9.052 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.052 * [taylor]: Taking taylor expansion of 1 in n
9.052 * [backup-simplify]: Simplify 1 into 1
9.052 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.052 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.052 * [taylor]: Taking taylor expansion of -2 in n
9.052 * [backup-simplify]: Simplify -2 into -2
9.052 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.053 * [taylor]: Taking taylor expansion of PI in n
9.053 * [backup-simplify]: Simplify PI into PI
9.053 * [taylor]: Taking taylor expansion of n in n
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 1 into 1
9.053 * [backup-simplify]: Simplify (/ PI 1) into PI
9.054 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.055 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.055 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.055 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.057 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.057 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.058 * [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)))))
9.059 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ (sqrt (/ -1 k)) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
9.059 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
9.059 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.059 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.059 * [taylor]: Taking taylor expansion of -1 in k
9.059 * [backup-simplify]: Simplify -1 into -1
9.059 * [taylor]: Taking taylor expansion of k in k
9.059 * [backup-simplify]: Simplify 0 into 0
9.059 * [backup-simplify]: Simplify 1 into 1
9.060 * [backup-simplify]: Simplify (/ -1 1) into -1
9.060 * [backup-simplify]: Simplify (sqrt 0) into 0
9.061 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.061 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.061 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.061 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.061 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.061 * [taylor]: Taking taylor expansion of 1/2 in k
9.061 * [backup-simplify]: Simplify 1/2 into 1/2
9.061 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.061 * [taylor]: Taking taylor expansion of k in k
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 1 into 1
9.061 * [backup-simplify]: Simplify (/ 1 1) into 1
9.061 * [taylor]: Taking taylor expansion of 1 in k
9.061 * [backup-simplify]: Simplify 1 into 1
9.061 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.061 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.061 * [taylor]: Taking taylor expansion of -2 in k
9.061 * [backup-simplify]: Simplify -2 into -2
9.061 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.061 * [taylor]: Taking taylor expansion of PI in k
9.061 * [backup-simplify]: Simplify PI into PI
9.061 * [taylor]: Taking taylor expansion of n in k
9.061 * [backup-simplify]: Simplify n into n
9.061 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.061 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.061 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.062 * [backup-simplify]: Simplify (+ 1 0) into 1
9.062 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.062 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.062 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.062 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
9.062 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
9.062 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.062 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.062 * [taylor]: Taking taylor expansion of -1 in k
9.062 * [backup-simplify]: Simplify -1 into -1
9.063 * [taylor]: Taking taylor expansion of k in k
9.063 * [backup-simplify]: Simplify 0 into 0
9.063 * [backup-simplify]: Simplify 1 into 1
9.063 * [backup-simplify]: Simplify (/ -1 1) into -1
9.063 * [backup-simplify]: Simplify (sqrt 0) into 0
9.064 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.064 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.064 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.064 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.064 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.064 * [taylor]: Taking taylor expansion of 1/2 in k
9.064 * [backup-simplify]: Simplify 1/2 into 1/2
9.064 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.064 * [taylor]: Taking taylor expansion of k in k
9.064 * [backup-simplify]: Simplify 0 into 0
9.064 * [backup-simplify]: Simplify 1 into 1
9.064 * [backup-simplify]: Simplify (/ 1 1) into 1
9.064 * [taylor]: Taking taylor expansion of 1 in k
9.064 * [backup-simplify]: Simplify 1 into 1
9.064 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.064 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.064 * [taylor]: Taking taylor expansion of -2 in k
9.064 * [backup-simplify]: Simplify -2 into -2
9.064 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.064 * [taylor]: Taking taylor expansion of PI in k
9.064 * [backup-simplify]: Simplify PI into PI
9.064 * [taylor]: Taking taylor expansion of n in k
9.064 * [backup-simplify]: Simplify n into n
9.065 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.065 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.065 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.065 * [backup-simplify]: Simplify (+ 1 0) into 1
9.065 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.065 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.065 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.065 * [backup-simplify]: Simplify (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
9.066 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.066 * [taylor]: Taking taylor expansion of +nan.0 in n
9.066 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.066 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.066 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.066 * [taylor]: Taking taylor expansion of 1/2 in n
9.066 * [backup-simplify]: Simplify 1/2 into 1/2
9.066 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.066 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.066 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.066 * [taylor]: Taking taylor expansion of -2 in n
9.066 * [backup-simplify]: Simplify -2 into -2
9.066 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.066 * [taylor]: Taking taylor expansion of PI in n
9.066 * [backup-simplify]: Simplify PI into PI
9.066 * [taylor]: Taking taylor expansion of n in n
9.066 * [backup-simplify]: Simplify 0 into 0
9.066 * [backup-simplify]: Simplify 1 into 1
9.066 * [backup-simplify]: Simplify (/ PI 1) into PI
9.066 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.067 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.067 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.067 * [taylor]: Taking taylor expansion of k in n
9.067 * [backup-simplify]: Simplify k into k
9.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.067 * [taylor]: Taking taylor expansion of 1 in n
9.067 * [backup-simplify]: Simplify 1 into 1
9.068 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.068 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.069 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.069 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.070 * [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)))))
9.071 * [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))))))
9.072 * [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))))))
9.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.074 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.074 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
9.074 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
9.074 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
9.075 * [taylor]: Taking taylor expansion of +nan.0 in n
9.075 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.075 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.075 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.075 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.075 * [taylor]: Taking taylor expansion of 1/2 in n
9.075 * [backup-simplify]: Simplify 1/2 into 1/2
9.075 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.075 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.075 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.075 * [taylor]: Taking taylor expansion of -2 in n
9.075 * [backup-simplify]: Simplify -2 into -2
9.075 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.075 * [taylor]: Taking taylor expansion of PI in n
9.075 * [backup-simplify]: Simplify PI into PI
9.075 * [taylor]: Taking taylor expansion of n in n
9.075 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify 1 into 1
9.075 * [backup-simplify]: Simplify (/ PI 1) into PI
9.075 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.076 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.076 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.076 * [taylor]: Taking taylor expansion of k in n
9.076 * [backup-simplify]: Simplify k into k
9.076 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.076 * [taylor]: Taking taylor expansion of 1 in n
9.076 * [backup-simplify]: Simplify 1 into 1
9.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.077 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.078 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.078 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.079 * [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)))))
9.080 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
9.080 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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))))))
9.081 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
9.082 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
9.083 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.083 * [backup-simplify]: Simplify (+ 0 0) into 0
9.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.084 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.086 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
9.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
9.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.090 * [backup-simplify]: Simplify (- (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
9.091 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.097 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (+ (* (/ +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) (/ 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))
9.097 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) in n
9.097 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
9.097 * [taylor]: Taking taylor expansion of +nan.0 in n
9.097 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.097 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.097 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.097 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.097 * [taylor]: Taking taylor expansion of 1/2 in n
9.097 * [backup-simplify]: Simplify 1/2 into 1/2
9.097 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.097 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.097 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.097 * [taylor]: Taking taylor expansion of -2 in n
9.097 * [backup-simplify]: Simplify -2 into -2
9.097 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.097 * [taylor]: Taking taylor expansion of PI in n
9.097 * [backup-simplify]: Simplify PI into PI
9.097 * [taylor]: Taking taylor expansion of n in n
9.098 * [backup-simplify]: Simplify 0 into 0
9.098 * [backup-simplify]: Simplify 1 into 1
9.098 * [backup-simplify]: Simplify (/ PI 1) into PI
9.099 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.100 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.100 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.100 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.100 * [taylor]: Taking taylor expansion of k in n
9.100 * [backup-simplify]: Simplify k into k
9.100 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.100 * [taylor]: Taking taylor expansion of 1 in n
9.100 * [backup-simplify]: Simplify 1 into 1
9.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.101 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.102 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.104 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.105 * [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)))))
9.106 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
9.107 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (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))))))
9.108 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
9.109 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))
9.114 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (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 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))
9.114 * * * * [progress]: [ 4 / 4 ] generating series at (2)
9.114 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
9.115 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
9.115 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
9.115 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
9.115 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
9.115 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
9.115 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
9.115 * [taylor]: Taking taylor expansion of 1/2 in n
9.115 * [backup-simplify]: Simplify 1/2 into 1/2
9.115 * [taylor]: Taking taylor expansion of (- 1 k) in n
9.115 * [taylor]: Taking taylor expansion of 1 in n
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [taylor]: Taking taylor expansion of k in n
9.115 * [backup-simplify]: Simplify k into k
9.115 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.115 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.115 * [taylor]: Taking taylor expansion of 2 in n
9.115 * [backup-simplify]: Simplify 2 into 2
9.115 * [taylor]: Taking taylor expansion of (* n PI) in n
9.115 * [taylor]: Taking taylor expansion of n in n
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [taylor]: Taking taylor expansion of PI in n
9.115 * [backup-simplify]: Simplify PI into PI
9.116 * [backup-simplify]: Simplify (* 0 PI) into 0
9.116 * [backup-simplify]: Simplify (* 2 0) into 0
9.118 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.119 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.120 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.120 * [backup-simplify]: Simplify (- k) into (- k)
9.120 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
9.120 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
9.122 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.123 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
9.125 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
9.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
9.125 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.125 * [taylor]: Taking taylor expansion of k in n
9.125 * [backup-simplify]: Simplify k into k
9.125 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.125 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
9.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
9.125 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
9.125 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
9.125 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
9.125 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
9.125 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
9.125 * [taylor]: Taking taylor expansion of 1/2 in k
9.125 * [backup-simplify]: Simplify 1/2 into 1/2
9.125 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.125 * [taylor]: Taking taylor expansion of 1 in k
9.125 * [backup-simplify]: Simplify 1 into 1
9.125 * [taylor]: Taking taylor expansion of k in k
9.125 * [backup-simplify]: Simplify 0 into 0
9.125 * [backup-simplify]: Simplify 1 into 1
9.125 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.126 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.126 * [taylor]: Taking taylor expansion of 2 in k
9.126 * [backup-simplify]: Simplify 2 into 2
9.126 * [taylor]: Taking taylor expansion of (* n PI) in k
9.126 * [taylor]: Taking taylor expansion of n in k
9.126 * [backup-simplify]: Simplify n into n
9.126 * [taylor]: Taking taylor expansion of PI in k
9.126 * [backup-simplify]: Simplify PI into PI
9.126 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.126 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.126 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.126 * [backup-simplify]: Simplify (- 0) into 0
9.127 * [backup-simplify]: Simplify (+ 1 0) into 1
9.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.127 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.127 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
9.127 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.128 * [taylor]: Taking taylor expansion of k in k
9.128 * [backup-simplify]: Simplify 0 into 0
9.128 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify (/ 1 1) into 1
9.128 * [backup-simplify]: Simplify (sqrt 0) into 0
9.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.130 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
9.130 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
9.130 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
9.130 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
9.130 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
9.130 * [taylor]: Taking taylor expansion of 1/2 in k
9.130 * [backup-simplify]: Simplify 1/2 into 1/2
9.130 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.130 * [taylor]: Taking taylor expansion of 1 in k
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [taylor]: Taking taylor expansion of k in k
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.130 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.130 * [taylor]: Taking taylor expansion of 2 in k
9.130 * [backup-simplify]: Simplify 2 into 2
9.130 * [taylor]: Taking taylor expansion of (* n PI) in k
9.130 * [taylor]: Taking taylor expansion of n in k
9.130 * [backup-simplify]: Simplify n into n
9.130 * [taylor]: Taking taylor expansion of PI in k
9.130 * [backup-simplify]: Simplify PI into PI
9.130 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.131 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.131 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.131 * [backup-simplify]: Simplify (- 0) into 0
9.131 * [backup-simplify]: Simplify (+ 1 0) into 1
9.132 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.132 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.132 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
9.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.132 * [taylor]: Taking taylor expansion of k in k
9.132 * [backup-simplify]: Simplify 0 into 0
9.132 * [backup-simplify]: Simplify 1 into 1
9.133 * [backup-simplify]: Simplify (/ 1 1) into 1
9.133 * [backup-simplify]: Simplify (sqrt 0) into 0
9.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.135 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
9.135 * [taylor]: Taking taylor expansion of 0 in n
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
9.135 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
9.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
9.136 * [backup-simplify]: Simplify (- 1) into -1
9.137 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.138 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
9.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
9.139 * [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)))))
9.139 * [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)))))
9.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
9.139 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
9.139 * [taylor]: Taking taylor expansion of +nan.0 in n
9.139 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.139 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
9.139 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.139 * [taylor]: Taking taylor expansion of 2 in n
9.139 * [backup-simplify]: Simplify 2 into 2
9.140 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.140 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.140 * [taylor]: Taking taylor expansion of (* n PI) in n
9.140 * [taylor]: Taking taylor expansion of n in n
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [backup-simplify]: Simplify 1 into 1
9.140 * [taylor]: Taking taylor expansion of PI in n
9.141 * [backup-simplify]: Simplify PI into PI
9.141 * [backup-simplify]: Simplify (* 0 PI) into 0
9.143 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.143 * [backup-simplify]: Simplify (sqrt 0) into 0
9.144 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.145 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
9.146 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.146 * [backup-simplify]: Simplify (- 0) into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.151 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
9.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
9.154 * [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
9.155 * [backup-simplify]: Simplify (- 0) into 0
9.155 * [backup-simplify]: Simplify (+ 0 0) into 0
9.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
9.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
9.161 * [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)))
9.162 * [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)))))))
9.162 * [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
9.162 * [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
9.162 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
9.162 * [taylor]: Taking taylor expansion of +nan.0 in n
9.162 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.162 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
9.162 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
9.162 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.162 * [taylor]: Taking taylor expansion of 2 in n
9.162 * [backup-simplify]: Simplify 2 into 2
9.163 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.164 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.164 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.164 * [taylor]: Taking taylor expansion of 2 in n
9.164 * [backup-simplify]: Simplify 2 into 2
9.164 * [taylor]: Taking taylor expansion of (* n PI) in n
9.164 * [taylor]: Taking taylor expansion of n in n
9.164 * [backup-simplify]: Simplify 0 into 0
9.164 * [backup-simplify]: Simplify 1 into 1
9.164 * [taylor]: Taking taylor expansion of PI in n
9.164 * [backup-simplify]: Simplify PI into PI
9.165 * [backup-simplify]: Simplify (* 0 PI) into 0
9.165 * [backup-simplify]: Simplify (* 2 0) into 0
9.167 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.168 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.169 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.170 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.170 * [taylor]: Taking taylor expansion of (* n PI) in n
9.170 * [taylor]: Taking taylor expansion of n in n
9.170 * [backup-simplify]: Simplify 0 into 0
9.170 * [backup-simplify]: Simplify 1 into 1
9.170 * [taylor]: Taking taylor expansion of PI in n
9.170 * [backup-simplify]: Simplify PI into PI
9.170 * [backup-simplify]: Simplify (* 0 PI) into 0
9.172 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.172 * [backup-simplify]: Simplify (sqrt 0) into 0
9.173 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
9.173 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
9.173 * [taylor]: Taking taylor expansion of +nan.0 in n
9.173 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.173 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
9.173 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.174 * [taylor]: Taking taylor expansion of 2 in n
9.174 * [backup-simplify]: Simplify 2 into 2
9.174 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.175 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.175 * [taylor]: Taking taylor expansion of (* n PI) in n
9.175 * [taylor]: Taking taylor expansion of n in n
9.175 * [backup-simplify]: Simplify 0 into 0
9.175 * [backup-simplify]: Simplify 1 into 1
9.175 * [taylor]: Taking taylor expansion of PI in n
9.175 * [backup-simplify]: Simplify PI into PI
9.175 * [backup-simplify]: Simplify (* 0 PI) into 0
9.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.177 * [backup-simplify]: Simplify (sqrt 0) into 0
9.178 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.181 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
9.183 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
9.183 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.183 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
9.184 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.184 * [backup-simplify]: Simplify (- 0) into 0
9.185 * [backup-simplify]: Simplify (+ 0 0) into 0
9.185 * [backup-simplify]: Simplify (- 0) into 0
9.185 * [backup-simplify]: Simplify 0 into 0
9.187 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
9.190 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
9.192 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
9.194 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
9.194 * [backup-simplify]: Simplify 0 into 0
9.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.197 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
9.200 * [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
9.200 * [backup-simplify]: Simplify (- 0) into 0
9.200 * [backup-simplify]: Simplify (+ 0 0) into 0
9.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
9.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
9.203 * [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)))
9.204 * [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)))))))))
9.204 * [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
9.204 * [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
9.204 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
9.204 * [taylor]: Taking taylor expansion of +nan.0 in n
9.204 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.204 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
9.204 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
9.204 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.204 * [taylor]: Taking taylor expansion of 2 in n
9.204 * [backup-simplify]: Simplify 2 into 2
9.204 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.205 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.205 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.205 * [taylor]: Taking taylor expansion of 2 in n
9.205 * [backup-simplify]: Simplify 2 into 2
9.205 * [taylor]: Taking taylor expansion of (* n PI) in n
9.205 * [taylor]: Taking taylor expansion of n in n
9.205 * [backup-simplify]: Simplify 0 into 0
9.205 * [backup-simplify]: Simplify 1 into 1
9.205 * [taylor]: Taking taylor expansion of PI in n
9.205 * [backup-simplify]: Simplify PI into PI
9.205 * [backup-simplify]: Simplify (* 0 PI) into 0
9.205 * [backup-simplify]: Simplify (* 2 0) into 0
9.206 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.207 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.208 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.208 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.208 * [taylor]: Taking taylor expansion of (* n PI) in n
9.208 * [taylor]: Taking taylor expansion of n in n
9.208 * [backup-simplify]: Simplify 0 into 0
9.208 * [backup-simplify]: Simplify 1 into 1
9.208 * [taylor]: Taking taylor expansion of PI in n
9.208 * [backup-simplify]: Simplify PI into PI
9.208 * [backup-simplify]: Simplify (* 0 PI) into 0
9.209 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.209 * [backup-simplify]: Simplify (sqrt 0) into 0
9.210 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.210 * [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
9.210 * [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
9.210 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
9.210 * [taylor]: Taking taylor expansion of +nan.0 in n
9.210 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.210 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
9.210 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.210 * [taylor]: Taking taylor expansion of 2 in n
9.210 * [backup-simplify]: Simplify 2 into 2
9.211 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.211 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.211 * [taylor]: Taking taylor expansion of (* n PI) in n
9.211 * [taylor]: Taking taylor expansion of n in n
9.211 * [backup-simplify]: Simplify 0 into 0
9.211 * [backup-simplify]: Simplify 1 into 1
9.211 * [taylor]: Taking taylor expansion of PI in n
9.211 * [backup-simplify]: Simplify PI into PI
9.211 * [backup-simplify]: Simplify (* 0 PI) into 0
9.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.213 * [backup-simplify]: Simplify (sqrt 0) into 0
9.213 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.213 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
9.213 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
9.213 * [taylor]: Taking taylor expansion of +nan.0 in n
9.213 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.214 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
9.214 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
9.214 * [taylor]: Taking taylor expansion of (sqrt 2) in n
9.214 * [taylor]: Taking taylor expansion of 2 in n
9.214 * [backup-simplify]: Simplify 2 into 2
9.214 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
9.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
9.214 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
9.214 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.214 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.214 * [taylor]: Taking taylor expansion of 2 in n
9.214 * [backup-simplify]: Simplify 2 into 2
9.214 * [taylor]: Taking taylor expansion of (* n PI) in n
9.214 * [taylor]: Taking taylor expansion of n in n
9.214 * [backup-simplify]: Simplify 0 into 0
9.214 * [backup-simplify]: Simplify 1 into 1
9.214 * [taylor]: Taking taylor expansion of PI in n
9.214 * [backup-simplify]: Simplify PI into PI
9.215 * [backup-simplify]: Simplify (* 0 PI) into 0
9.215 * [backup-simplify]: Simplify (* 2 0) into 0
9.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.217 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.217 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.218 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.218 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
9.218 * [taylor]: Taking taylor expansion of (* n PI) in n
9.218 * [taylor]: Taking taylor expansion of n in n
9.218 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify 1 into 1
9.218 * [taylor]: Taking taylor expansion of PI in n
9.218 * [backup-simplify]: Simplify PI into PI
9.219 * [backup-simplify]: Simplify (* 0 PI) into 0
9.219 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.220 * [backup-simplify]: Simplify (sqrt 0) into 0
9.221 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
9.221 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.222 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
9.223 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
9.223 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.224 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
9.224 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.225 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.226 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.227 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
9.229 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
9.230 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
9.230 * [backup-simplify]: Simplify (* +nan.0 0) into 0
9.230 * [backup-simplify]: Simplify (- 0) into 0
9.231 * [backup-simplify]: Simplify (+ 0 0) into 0
9.231 * [backup-simplify]: Simplify (- 0) into 0
9.231 * [backup-simplify]: Simplify (+ 0 0) into 0
9.231 * [backup-simplify]: Simplify (- 0) into 0
9.231 * [backup-simplify]: Simplify 0 into 0
9.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.235 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
9.237 * [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))))))))
9.243 * [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))))))))
9.247 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
9.253 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
9.256 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
9.265 * [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))))))))))
9.277 * [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)))))))
9.282 * [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)))))))
9.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.285 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
9.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
9.288 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
9.293 * [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))))
9.296 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
9.298 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
9.306 * [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)))))))))))))
9.307 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
9.307 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
9.307 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
9.307 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
9.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.307 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.307 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
9.307 * [taylor]: Taking taylor expansion of 1/2 in n
9.307 * [backup-simplify]: Simplify 1/2 into 1/2
9.307 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.307 * [taylor]: Taking taylor expansion of 1 in n
9.307 * [backup-simplify]: Simplify 1 into 1
9.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.307 * [taylor]: Taking taylor expansion of k in n
9.307 * [backup-simplify]: Simplify k into k
9.307 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.307 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.307 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.307 * [taylor]: Taking taylor expansion of 2 in n
9.307 * [backup-simplify]: Simplify 2 into 2
9.307 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.307 * [taylor]: Taking taylor expansion of PI in n
9.307 * [backup-simplify]: Simplify PI into PI
9.307 * [taylor]: Taking taylor expansion of n in n
9.307 * [backup-simplify]: Simplify 0 into 0
9.307 * [backup-simplify]: Simplify 1 into 1
9.308 * [backup-simplify]: Simplify (/ PI 1) into PI
9.308 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.309 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.309 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.309 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.309 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
9.310 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.310 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.311 * [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)))))
9.311 * [taylor]: Taking taylor expansion of (sqrt k) in n
9.311 * [taylor]: Taking taylor expansion of k in n
9.311 * [backup-simplify]: Simplify k into k
9.311 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
9.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
9.311 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
9.311 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
9.311 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.311 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.311 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
9.311 * [taylor]: Taking taylor expansion of 1/2 in k
9.311 * [backup-simplify]: Simplify 1/2 into 1/2
9.311 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.311 * [taylor]: Taking taylor expansion of 1 in k
9.311 * [backup-simplify]: Simplify 1 into 1
9.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.311 * [taylor]: Taking taylor expansion of k in k
9.311 * [backup-simplify]: Simplify 0 into 0
9.311 * [backup-simplify]: Simplify 1 into 1
9.312 * [backup-simplify]: Simplify (/ 1 1) into 1
9.312 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.312 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.312 * [taylor]: Taking taylor expansion of 2 in k
9.312 * [backup-simplify]: Simplify 2 into 2
9.312 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.312 * [taylor]: Taking taylor expansion of PI in k
9.312 * [backup-simplify]: Simplify PI into PI
9.312 * [taylor]: Taking taylor expansion of n in k
9.312 * [backup-simplify]: Simplify n into n
9.312 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.312 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.312 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.312 * [backup-simplify]: Simplify (- 1) into -1
9.313 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.313 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
9.313 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.313 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
9.313 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.313 * [taylor]: Taking taylor expansion of k in k
9.313 * [backup-simplify]: Simplify 0 into 0
9.313 * [backup-simplify]: Simplify 1 into 1
9.313 * [backup-simplify]: Simplify (sqrt 0) into 0
9.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.314 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
9.314 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
9.314 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.314 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.314 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
9.314 * [taylor]: Taking taylor expansion of 1/2 in k
9.315 * [backup-simplify]: Simplify 1/2 into 1/2
9.315 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.315 * [taylor]: Taking taylor expansion of 1 in k
9.315 * [backup-simplify]: Simplify 1 into 1
9.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.315 * [taylor]: Taking taylor expansion of k in k
9.315 * [backup-simplify]: Simplify 0 into 0
9.315 * [backup-simplify]: Simplify 1 into 1
9.315 * [backup-simplify]: Simplify (/ 1 1) into 1
9.315 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.315 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.315 * [taylor]: Taking taylor expansion of 2 in k
9.315 * [backup-simplify]: Simplify 2 into 2
9.315 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.315 * [taylor]: Taking taylor expansion of PI in k
9.315 * [backup-simplify]: Simplify PI into PI
9.315 * [taylor]: Taking taylor expansion of n in k
9.315 * [backup-simplify]: Simplify n into n
9.315 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.315 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.315 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.315 * [backup-simplify]: Simplify (- 1) into -1
9.316 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.316 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
9.316 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.317 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
9.317 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.317 * [taylor]: Taking taylor expansion of k in k
9.317 * [backup-simplify]: Simplify 0 into 0
9.317 * [backup-simplify]: Simplify 1 into 1
9.317 * [backup-simplify]: Simplify (sqrt 0) into 0
9.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.318 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
9.318 * [taylor]: Taking taylor expansion of 0 in n
9.318 * [backup-simplify]: Simplify 0 into 0
9.318 * [backup-simplify]: Simplify 0 into 0
9.318 * [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))))))))
9.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
9.318 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
9.319 * [taylor]: Taking taylor expansion of +nan.0 in n
9.319 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.319 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
9.319 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
9.319 * [taylor]: Taking taylor expansion of 1/2 in n
9.319 * [backup-simplify]: Simplify 1/2 into 1/2
9.319 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
9.319 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.319 * [taylor]: Taking taylor expansion of 1 in n
9.319 * [backup-simplify]: Simplify 1 into 1
9.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.319 * [taylor]: Taking taylor expansion of k in n
9.319 * [backup-simplify]: Simplify k into k
9.319 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.319 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.319 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.319 * [taylor]: Taking taylor expansion of 2 in n
9.319 * [backup-simplify]: Simplify 2 into 2
9.319 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.319 * [taylor]: Taking taylor expansion of PI in n
9.319 * [backup-simplify]: Simplify PI into PI
9.319 * [taylor]: Taking taylor expansion of n in n
9.319 * [backup-simplify]: Simplify 0 into 0
9.319 * [backup-simplify]: Simplify 1 into 1
9.319 * [backup-simplify]: Simplify (/ PI 1) into PI
9.319 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.320 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.320 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.320 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.323 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
9.324 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.325 * [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)))))
9.327 * [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))))))
9.328 * [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)))))))
9.329 * [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)))))))
9.329 * [backup-simplify]: Simplify 0 into 0
9.331 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.331 * [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))))))))
9.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
9.332 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
9.332 * [taylor]: Taking taylor expansion of +nan.0 in n
9.332 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.332 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
9.332 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
9.332 * [taylor]: Taking taylor expansion of 1/2 in n
9.332 * [backup-simplify]: Simplify 1/2 into 1/2
9.332 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
9.332 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.332 * [taylor]: Taking taylor expansion of 1 in n
9.332 * [backup-simplify]: Simplify 1 into 1
9.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.332 * [taylor]: Taking taylor expansion of k in n
9.332 * [backup-simplify]: Simplify k into k
9.332 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.332 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.332 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.332 * [taylor]: Taking taylor expansion of 2 in n
9.332 * [backup-simplify]: Simplify 2 into 2
9.332 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.332 * [taylor]: Taking taylor expansion of PI in n
9.332 * [backup-simplify]: Simplify PI into PI
9.332 * [taylor]: Taking taylor expansion of n in n
9.332 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify 1 into 1
9.332 * [backup-simplify]: Simplify (/ PI 1) into PI
9.333 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.333 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.333 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.333 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.334 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.335 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
9.336 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.336 * [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)))))
9.337 * [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))))))
9.338 * [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)))))))
9.338 * [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)))))))
9.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.340 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.341 * [backup-simplify]: Simplify (- 0) into 0
9.341 * [backup-simplify]: Simplify (+ 0 0) into 0
9.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.343 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
9.345 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.346 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
9.346 * [backup-simplify]: Simplify (- 0) into 0
9.346 * [backup-simplify]: Simplify 0 into 0
9.346 * [backup-simplify]: Simplify 0 into 0
9.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.349 * [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))))))))
9.349 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
9.349 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
9.349 * [taylor]: Taking taylor expansion of +nan.0 in n
9.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.349 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
9.349 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
9.349 * [taylor]: Taking taylor expansion of 1/2 in n
9.349 * [backup-simplify]: Simplify 1/2 into 1/2
9.349 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
9.349 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.349 * [taylor]: Taking taylor expansion of 1 in n
9.349 * [backup-simplify]: Simplify 1 into 1
9.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.349 * [taylor]: Taking taylor expansion of k in n
9.349 * [backup-simplify]: Simplify k into k
9.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.349 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.349 * [taylor]: Taking taylor expansion of 2 in n
9.350 * [backup-simplify]: Simplify 2 into 2
9.350 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.350 * [taylor]: Taking taylor expansion of PI in n
9.350 * [backup-simplify]: Simplify PI into PI
9.350 * [taylor]: Taking taylor expansion of n in n
9.350 * [backup-simplify]: Simplify 0 into 0
9.350 * [backup-simplify]: Simplify 1 into 1
9.350 * [backup-simplify]: Simplify (/ PI 1) into PI
9.350 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.351 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.351 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.352 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
9.353 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.354 * [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)))))
9.354 * [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))))))
9.355 * [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)))))))
9.356 * [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)))))))
9.359 * [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))))))))
9.359 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
9.359 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
9.359 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
9.359 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.359 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.359 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.359 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.359 * [taylor]: Taking taylor expansion of 1/2 in n
9.359 * [backup-simplify]: Simplify 1/2 into 1/2
9.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.359 * [taylor]: Taking taylor expansion of k in n
9.359 * [backup-simplify]: Simplify k into k
9.359 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.360 * [taylor]: Taking taylor expansion of 1 in n
9.360 * [backup-simplify]: Simplify 1 into 1
9.360 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.360 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.360 * [taylor]: Taking taylor expansion of -2 in n
9.360 * [backup-simplify]: Simplify -2 into -2
9.360 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.360 * [taylor]: Taking taylor expansion of PI in n
9.360 * [backup-simplify]: Simplify PI into PI
9.360 * [taylor]: Taking taylor expansion of n in n
9.360 * [backup-simplify]: Simplify 0 into 0
9.360 * [backup-simplify]: Simplify 1 into 1
9.360 * [backup-simplify]: Simplify (/ PI 1) into PI
9.360 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.361 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.361 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.361 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.365 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.365 * [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)))))
9.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
9.365 * [taylor]: Taking taylor expansion of (/ -1 k) in n
9.365 * [taylor]: Taking taylor expansion of -1 in n
9.365 * [backup-simplify]: Simplify -1 into -1
9.365 * [taylor]: Taking taylor expansion of k in n
9.365 * [backup-simplify]: Simplify k into k
9.365 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
9.366 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
9.366 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
9.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
9.366 * [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)))
9.366 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
9.366 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.366 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.366 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.367 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.367 * [taylor]: Taking taylor expansion of 1/2 in k
9.367 * [backup-simplify]: Simplify 1/2 into 1/2
9.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.367 * [taylor]: Taking taylor expansion of k in k
9.367 * [backup-simplify]: Simplify 0 into 0
9.367 * [backup-simplify]: Simplify 1 into 1
9.367 * [backup-simplify]: Simplify (/ 1 1) into 1
9.367 * [taylor]: Taking taylor expansion of 1 in k
9.367 * [backup-simplify]: Simplify 1 into 1
9.367 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.367 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.367 * [taylor]: Taking taylor expansion of -2 in k
9.367 * [backup-simplify]: Simplify -2 into -2
9.367 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.367 * [taylor]: Taking taylor expansion of PI in k
9.367 * [backup-simplify]: Simplify PI into PI
9.367 * [taylor]: Taking taylor expansion of n in k
9.367 * [backup-simplify]: Simplify n into n
9.367 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.367 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.367 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.367 * [backup-simplify]: Simplify (+ 1 0) into 1
9.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.368 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.368 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.368 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.368 * [taylor]: Taking taylor expansion of -1 in k
9.368 * [backup-simplify]: Simplify -1 into -1
9.368 * [taylor]: Taking taylor expansion of k in k
9.368 * [backup-simplify]: Simplify 0 into 0
9.368 * [backup-simplify]: Simplify 1 into 1
9.368 * [backup-simplify]: Simplify (/ -1 1) into -1
9.369 * [backup-simplify]: Simplify (sqrt 0) into 0
9.370 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.370 * [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)))))
9.370 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
9.370 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.370 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.370 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.370 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.370 * [taylor]: Taking taylor expansion of 1/2 in k
9.370 * [backup-simplify]: Simplify 1/2 into 1/2
9.370 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.370 * [taylor]: Taking taylor expansion of k in k
9.370 * [backup-simplify]: Simplify 0 into 0
9.370 * [backup-simplify]: Simplify 1 into 1
9.370 * [backup-simplify]: Simplify (/ 1 1) into 1
9.370 * [taylor]: Taking taylor expansion of 1 in k
9.370 * [backup-simplify]: Simplify 1 into 1
9.370 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.370 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.370 * [taylor]: Taking taylor expansion of -2 in k
9.370 * [backup-simplify]: Simplify -2 into -2
9.370 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.370 * [taylor]: Taking taylor expansion of PI in k
9.370 * [backup-simplify]: Simplify PI into PI
9.370 * [taylor]: Taking taylor expansion of n in k
9.370 * [backup-simplify]: Simplify n into n
9.370 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.370 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.370 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.371 * [backup-simplify]: Simplify (+ 1 0) into 1
9.371 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.371 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.371 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.371 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.371 * [taylor]: Taking taylor expansion of -1 in k
9.371 * [backup-simplify]: Simplify -1 into -1
9.371 * [taylor]: Taking taylor expansion of k in k
9.371 * [backup-simplify]: Simplify 0 into 0
9.371 * [backup-simplify]: Simplify 1 into 1
9.372 * [backup-simplify]: Simplify (/ -1 1) into -1
9.372 * [backup-simplify]: Simplify (sqrt 0) into 0
9.373 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.373 * [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)))))
9.373 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.373 * [taylor]: Taking taylor expansion of +nan.0 in n
9.373 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.373 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.373 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.373 * [taylor]: Taking taylor expansion of 1/2 in n
9.373 * [backup-simplify]: Simplify 1/2 into 1/2
9.373 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.373 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.373 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.373 * [taylor]: Taking taylor expansion of -2 in n
9.373 * [backup-simplify]: Simplify -2 into -2
9.373 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.373 * [taylor]: Taking taylor expansion of PI in n
9.373 * [backup-simplify]: Simplify PI into PI
9.373 * [taylor]: Taking taylor expansion of n in n
9.373 * [backup-simplify]: Simplify 0 into 0
9.373 * [backup-simplify]: Simplify 1 into 1
9.374 * [backup-simplify]: Simplify (/ PI 1) into PI
9.374 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.374 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.374 * [taylor]: Taking taylor expansion of k in n
9.375 * [backup-simplify]: Simplify k into k
9.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.375 * [taylor]: Taking taylor expansion of 1 in n
9.375 * [backup-simplify]: Simplify 1 into 1
9.375 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.376 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.376 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.377 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.378 * [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)))))
9.379 * [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))))))
9.380 * [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))))))
9.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.385 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.386 * [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))))))
9.386 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
9.386 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.386 * [taylor]: Taking taylor expansion of +nan.0 in n
9.386 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.386 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.387 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.387 * [taylor]: Taking taylor expansion of 1/2 in n
9.387 * [backup-simplify]: Simplify 1/2 into 1/2
9.387 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.387 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.387 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.387 * [taylor]: Taking taylor expansion of -2 in n
9.387 * [backup-simplify]: Simplify -2 into -2
9.387 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.387 * [taylor]: Taking taylor expansion of PI in n
9.387 * [backup-simplify]: Simplify PI into PI
9.387 * [taylor]: Taking taylor expansion of n in n
9.387 * [backup-simplify]: Simplify 0 into 0
9.387 * [backup-simplify]: Simplify 1 into 1
9.387 * [backup-simplify]: Simplify (/ PI 1) into PI
9.388 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.389 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.389 * [taylor]: Taking taylor expansion of k in n
9.389 * [backup-simplify]: Simplify k into k
9.389 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.389 * [taylor]: Taking taylor expansion of 1 in n
9.389 * [backup-simplify]: Simplify 1 into 1
9.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.391 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.392 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.393 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.394 * [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)))))
9.394 * [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))))))
9.395 * [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)))))))
9.396 * [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)))))))
9.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.397 * [backup-simplify]: Simplify (+ 0 0) into 0
9.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.398 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.401 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
9.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
9.403 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.404 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
9.404 * [backup-simplify]: Simplify 0 into 0
9.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.409 * [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))))))
9.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
9.409 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
9.409 * [taylor]: Taking taylor expansion of +nan.0 in n
9.409 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.409 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
9.409 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
9.409 * [taylor]: Taking taylor expansion of 1/2 in n
9.409 * [backup-simplify]: Simplify 1/2 into 1/2
9.409 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
9.409 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.409 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.409 * [taylor]: Taking taylor expansion of -2 in n
9.409 * [backup-simplify]: Simplify -2 into -2
9.409 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.409 * [taylor]: Taking taylor expansion of PI in n
9.409 * [backup-simplify]: Simplify PI into PI
9.409 * [taylor]: Taking taylor expansion of n in n
9.409 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify 1 into 1
9.409 * [backup-simplify]: Simplify (/ PI 1) into PI
9.410 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.410 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.410 * [taylor]: Taking taylor expansion of k in n
9.410 * [backup-simplify]: Simplify k into k
9.410 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.410 * [taylor]: Taking taylor expansion of 1 in n
9.411 * [backup-simplify]: Simplify 1 into 1
9.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.412 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.412 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
9.413 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.414 * [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)))))
9.414 * [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))))))
9.415 * [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)))))))
9.416 * [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)))))))
9.418 * [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))))))))))))
9.418 * * * [progress]: simplifying candidates
9.418 * * * * [progress]: [ 1 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 2 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 3 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 4 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 5 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 6 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 7 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 8 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))))>
9.419 * * * * [progress]: [ 9 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 10 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
9.419 * * * * [progress]: [ 11 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
9.419 * * * * [progress]: [ 12 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
9.419 * * * * [progress]: [ 13 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
9.419 * * * * [progress]: [ 14 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
9.419 * * * * [progress]: [ 15 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
9.419 * * * * [progress]: [ 16 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
9.419 * * * * [progress]: [ 17 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
9.419 * * * * [progress]: [ 18 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
9.419 * * * * [progress]: [ 19 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
9.419 * * * * [progress]: [ 20 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))>
9.419 * * * * [progress]: [ 21 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
9.419 * * * * [progress]: [ 22 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
9.419 * * * * [progress]: [ 23 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))>
9.419 * * * * [progress]: [ 24 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
9.420 * * * * [progress]: [ 25 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))>
9.420 * * * * [progress]: [ 26 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
9.420 * * * * [progress]: [ 27 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
9.420 * * * * [progress]: [ 28 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 29 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 30 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (- 1 k)) (/ 1 2)))))>
9.420 * * * * [progress]: [ 31 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.420 * * * * [progress]: [ 32 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1))))>
9.420 * * * * [progress]: [ 33 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 34 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 35 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 36 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 37 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 38 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.420 * * * * [progress]: [ 39 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.420 * * * * [progress]: [ 40 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.420 * * * * [progress]: [ 41 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 42 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 43 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 44 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (+ (log PI) (log 2)))) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 45 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (+ (log n) (log (* PI 2)))) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 46 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 47 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 48 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* PI PI) PI) (* (* 2 2) 2)))) (/ (- 1 k) 2)))))>
9.420 * * * * [progress]: [ 49 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* PI 2) (* PI 2)) (* PI 2)))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 50 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 51 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 52 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* n (* PI 2))) (sqrt (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 53 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* PI 2))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 54 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 55 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* PI 2))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 56 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* PI 2))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 57 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* n (* PI 2))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 58 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* n (* PI 2)))) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 59 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))))>
9.421 * * * * [progress]: [ 60 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1)))>
9.421 * * * * [progress]: [ 61 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
9.421 * * * * [progress]: [ 62 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
9.421 * * * * [progress]: [ 63 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.421 * * * * [progress]: [ 64 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.421 * * * * [progress]: [ 65 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 66 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 67 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 68 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 69 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 70 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 71 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.421 * * * * [progress]: [ 72 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.421 * * * * [progress]: [ 73 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 74 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 75 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 76 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 77 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.422 * * * * [progress]: [ 78 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 79 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 80 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 81 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 82 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.422 * * * * [progress]: [ 83 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 84 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 85 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 86 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 87 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.422 * * * * [progress]: [ 88 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 89 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 90 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 91 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 92 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.422 * * * * [progress]: [ 93 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 94 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 95 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.422 * * * * [progress]: [ 96 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.422 * * * * [progress]: [ 97 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.423 * * * * [progress]: [ 98 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow n (/ (- 1 k) 2))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 99 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.423 * * * * [progress]: [ 100 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.423 * * * * [progress]: [ 101 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 102 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.423 * * * * [progress]: [ 103 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 104 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 105 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
9.423 * * * * [progress]: [ 106 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow n (/ (- 1 k) 2))) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.423 * * * * [progress]: [ 107 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 108 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 109 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.423 * * * * [progress]: [ 110 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.423 * * * * [progress]: [ 111 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
9.423 * * * * [progress]: [ 112 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))))))>
9.423 * * * * [progress]: [ 113 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
9.423 * * * * [progress]: [ 114 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt 1) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
9.423 * * * * [progress]: [ 115 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
9.423 * * * * [progress]: [ 116 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)))))>
9.423 * * * * [progress]: [ 117 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))))>
9.423 * * * * [progress]: [ 118 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.423 * * * * [progress]: [ 119 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) -1))>
9.423 * * * * [progress]: [ 120 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (- 1)))>
9.423 * * * * [progress]: [ 121 / 307 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) 1))>
9.423 * * * * [progress]: [ 122 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
9.423 * * * * [progress]: [ 123 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 124 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 125 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 126 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 127 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 128 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 129 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 130 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 131 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 132 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 133 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- 0 (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 134 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 135 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 136 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 137 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 138 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 139 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 140 / 307 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 141 / 307 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 142 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 143 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 144 / 307 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 145 / 307 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 146 / 307 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.424 * * * * [progress]: [ 147 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.424 * * * * [progress]: [ 148 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 149 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 150 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 151 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 152 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 153 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 154 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.425 * * * * [progress]: [ 155 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 156 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 157 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 158 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 159 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.425 * * * * [progress]: [ 160 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 161 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 162 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 163 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 164 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.425 * * * * [progress]: [ 165 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 166 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 167 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.425 * * * * [progress]: [ 168 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.425 * * * * [progress]: [ 169 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.426 * * * * [progress]: [ 170 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 171 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 172 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 173 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 174 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.426 * * * * [progress]: [ 175 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 176 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 177 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 178 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 179 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.426 * * * * [progress]: [ 180 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 181 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 182 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ k 2)))))>
9.426 * * * * [progress]: [ 183 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 184 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 185 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 186 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 187 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 188 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 189 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.426 * * * * [progress]: [ 190 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.426 * * * * [progress]: [ 191 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.426 * * * * [progress]: [ 192 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 193 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 194 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.427 * * * * [progress]: [ 195 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 196 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 197 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 198 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 199 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.427 * * * * [progress]: [ 200 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 201 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 202 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 203 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 204 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.427 * * * * [progress]: [ 205 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 206 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 207 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 208 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 209 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.427 * * * * [progress]: [ 210 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 211 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 212 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.427 * * * * [progress]: [ 213 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 214 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.427 * * * * [progress]: [ 215 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.427 * * * * [progress]: [ 216 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 217 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ k 2)))))>
9.428 * * * * [progress]: [ 218 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 219 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 220 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 221 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 222 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 223 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 224 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.428 * * * * [progress]: [ 225 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 226 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 227 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 228 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 229 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.428 * * * * [progress]: [ 230 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 231 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 232 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 233 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 234 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.428 * * * * [progress]: [ 235 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 236 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 237 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.428 * * * * [progress]: [ 238 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.428 * * * * [progress]: [ 239 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.429 * * * * [progress]: [ 240 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 241 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.429 * * * * [progress]: [ 242 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.429 * * * * [progress]: [ 243 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 244 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.429 * * * * [progress]: [ 245 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 246 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.429 * * * * [progress]: [ 247 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.429 * * * * [progress]: [ 248 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 249 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
9.429 * * * * [progress]: [ 250 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 251 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 252 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))) (/ 1 (pow (* n (* PI 2)) (/ k 2)))))>
9.429 * * * * [progress]: [ 253 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 254 / 307 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 255 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1)))>
9.429 * * * * [progress]: [ 256 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 257 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 258 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.429 * * * * [progress]: [ 259 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 260 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.429 * * * * [progress]: [ 261 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.429 * * * * [progress]: [ 262 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.429 * * * * [progress]: [ 263 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 264 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 265 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 266 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 267 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.430 * * * * [progress]: [ 268 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 269 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 270 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 271 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 272 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.430 * * * * [progress]: [ 273 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 274 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 275 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 276 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 277 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.430 * * * * [progress]: [ 278 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 279 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 280 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 281 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 282 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.430 * * * * [progress]: [ 283 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 284 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 285 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
9.430 * * * * [progress]: [ 286 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.430 * * * * [progress]: [ 287 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
9.431 * * * * [progress]: [ 288 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.431 * * * * [progress]: [ 289 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
9.431 * * * * [progress]: [ 290 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))>
9.431 * * * * [progress]: [ 291 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt 1))))>
9.431 * * * * [progress]: [ 292 / 307 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt 1))))>
9.431 * * * * [progress]: [ 293 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1)))>
9.431 * * * * [progress]: [ 294 / 307 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))>
9.431 * * * * [progress]: [ 295 / 307 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
9.431 * * * * [progress]: [ 296 / 307 ] 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))))))))>
9.431 * * * * [progress]: [ 297 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
9.431 * * * * [progress]: [ 298 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
9.431 * * * * [progress]: [ 299 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
9.431 * * * * [progress]: [ 300 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
9.431 * * * * [progress]: [ 301 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
9.431 * * * * [progress]: [ 302 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
9.431 * * * * [progress]: [ 303 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k))))))))))>
9.431 * * * * [progress]: [ 304 / 307 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))))>
9.431 * * * * [progress]: [ 305 / 307 ] 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))))))))))))))>
9.431 * * * * [progress]: [ 306 / 307 ] 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)))))))))>
9.431 * * * * [progress]: [ 307 / 307 ] 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)))))))))))))>
9.435 * [simplify]: Simplifying (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)), (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)), (* (log (* n (* PI 2))) (/ (- 1 k) 2)), (* (log (* n (* PI 2))) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n (* PI 2)) (/ 1 2)), (pow (* n (* PI 2)) (/ k 2)), (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (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)) 1)), (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ 1 (sqrt 2))), (pow (* n (* PI 2)) (/ 1 1)), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) 1)), (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ 1 (sqrt 2))), (pow (* n (* PI 2)) (/ 1 1)), (pow (* n (* PI 2)) 1), (pow (* n (* PI 2)) (- 1 k)), (pow n (/ (- 1 k) 2)), (pow (* PI 2) (/ (- 1 k) 2)), (log (pow (* n (* PI 2)) (/ (- 1 k) 2))), (exp (pow (* n (* PI 2)) (/ (- 1 k) 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)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (pow (* n (* PI 2)) (/ (/ (- 1 k) 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) (+ (log PI) (log 2))), (+ (log n) (log (* PI 2))), (log (* n (* PI 2))), (exp (* n (* PI 2))), (* (* (* n n) n) (* (* (* PI PI) PI) (* (* 2 2) 2))), (* (* (* n n) n) (* (* (* PI 2) (* PI 2)) (* 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 PI), (* (cbrt n) (* PI 2)), (* (sqrt n) (* PI 2)), (* n (* PI 2)), (real->posit16 (* n (* PI 2))), (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))), (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))), (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))), (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2))), (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (exp (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (* (* (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (- (sqrt k)), (- (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2))), (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1), (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2))), (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2))), (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (* (cbrt k) (cbrt k))) 1), (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) 1), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt 1) (pow n (/ (- 1 k) 2))), (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))), (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) 1), (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) 1), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ 1 (pow n (/ (- 1 k) 2))), (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2))), (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 1), (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)), (/ (sqrt k) (pow n (/ (- 1 k) 2))), (/ (sqrt k) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt k) 1), (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)), (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))), (real->posit16 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (- 1), (- (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- 0 (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- 0 (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- 0 (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- 0 (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- 0 (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- 0 (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log 1) (- (log (sqrt k)) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (log 1) (- (log (sqrt k)) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (log 1) (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log 1) (- (log (sqrt k)) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log 1) (- (log (sqrt k)) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log 1) (log (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (log (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (exp (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (cbrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (* (* (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (sqrt (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- 1), (- (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)), (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)), (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)), (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (cbrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)), (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt 1) (cbrt 1)) 1), (/ (cbrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (sqrt k)), (/ (cbrt 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))), (/ (cbrt 1) (pow (* n (* PI 2)) (/ k 2))), (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)), (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)), (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt 1) 1)), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt 1) (/ 1 1)), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt 1) 1), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (sqrt k)), (/ (sqrt 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt 1) (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))), (/ (sqrt 1) (pow (* n (* PI 2)) (/ k 2))), (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (cbrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)), (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (cbrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)), (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) 1)), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) 1)), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) 1)), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt k) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt k) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 1)), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 1), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (sqrt k)), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))), (/ 1 (pow (* n (* PI 2)) (/ k 2))), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1), (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)), (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)), (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) 1)), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) 1)), (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt (sqrt k)) 1)), (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))), (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 1)), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 1), (/ 1 (sqrt k)), (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt 1)), (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt 1)), (/ (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 1 k) 2))) 1), (/ 1 (sqrt k)), (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* PI 2)) (/ (- 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)))))), (* 2 (* n PI)), (* 2 (* n PI)), (* 2 (* n PI)), (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))), (- (+ (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)))))))), (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 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))))))))))))), (- (+ (* +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))))))))))))
9.448 * * [simplify]: iteration 1: (529 enodes)
9.886 * * [simplify]: Extracting #0: cost 162 inf + 0
9.888 * * [simplify]: Extracting #1: cost 559 inf + 2
9.892 * * [simplify]: Extracting #2: cost 645 inf + 4288
9.904 * * [simplify]: Extracting #3: cost 554 inf + 43914
9.936 * * [simplify]: Extracting #4: cost 388 inf + 136214
9.995 * * [simplify]: Extracting #5: cost 263 inf + 221637
10.058 * * [simplify]: Extracting #6: cost 217 inf + 253596
10.126 * * [simplify]: Extracting #7: cost 182 inf + 273579
10.175 * * [simplify]: Extracting #8: cost 139 inf + 289335
10.232 * * [simplify]: Extracting #9: cost 90 inf + 313354
10.318 * * [simplify]: Extracting #10: cost 46 inf + 338678
10.384 * * [simplify]: Extracting #11: cost 11 inf + 368197
10.465 * * [simplify]: Extracting #12: cost 0 inf + 377638
10.564 * * [simplify]: Extracting #13: cost 0 inf + 377398
10.641 * [simplify]: Simplified to (* (/ (- 1 k) 2) (log (* (* n PI) 2))), (* (/ (- 1 k) 2) (log (* (* n PI) 2))), (* (/ (- 1 k) 2) (log (* (* n PI) 2))), (* (/ (- 1 k) 2) (log (* (* n PI) 2))), (/ (- 1 k) 2), (/ (- 1 k) 2), (/ (- 1 k) 2), (pow (* (* n PI) 2) 1/2), (pow (* (* n PI) 2) (/ k 2)), (pow (* (* n PI) 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* (* n PI) 2) (sqrt (/ (- 1 k) 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)))), (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)))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (pow (* (* n PI) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* n PI) 2) (+ 1 (sqrt k))), (pow (* (* n PI) 2) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2))), (pow (* (* n PI) 2) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* (* n PI) 2) (+ 1 (sqrt k))), (pow (* (* n PI) 2) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* (* n PI) 2) (/ 1 (sqrt 2))), (* (* n PI) 2), (* (* n PI) 2), (pow (* (* n PI) 2) (- 1 k)), (pow n (/ (- 1 k) 2)), (pow (* 2 PI) (/ (- 1 k) 2)), (* (/ (- 1 k) 2) (log (* (* n PI) 2))), (exp (pow (* (* n PI) 2) (/ (- 1 k) 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)) (* (pow (* (* n PI) 2) (/ (- 1 k) 2)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (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 (* (* n PI) 2)), (* (* (* n n) n) (* (* 4 2) (* PI (* PI PI)))), (* (* (* n n) n) (* (* (* PI PI) 4) (* 2 PI))), (* (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 PI), (* (* 2 PI) (cbrt n)), (* (* 2 PI) (sqrt n)), (* (* n PI) 2), (real->posit16 (* (* n PI) 2)), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2)))), (exp (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (/ (* k (sqrt k)) (* (pow (* (* n PI) 2) (/ (- 1 k) 2)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (- (sqrt k)), (- (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (cbrt (sqrt k)) (/ (pow n (/ (- 1 k) 2)) (cbrt (sqrt k)))), (/ (cbrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (cbrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (cbrt (sqrt k)) (cbrt (sqrt k))), (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (cbrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2))), (/ (sqrt (cbrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (/ (fabs (cbrt k)) (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ (sqrt (cbrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (fabs (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (cbrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (fabs (cbrt k)), (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (fabs (cbrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt (cbrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (sqrt k)), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (pow n (/ (- 1 k) 2))), (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))), (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (sqrt k)), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (pow n (/ (- 1 k) 2))), (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2))), (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k)), (/ (sqrt k) (pow n (/ (- 1 k) 2))), (/ (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt k), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (cbrt (sqrt k))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt (cbrt k))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k)), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt (sqrt k))), (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k)), (/ (sqrt k) (pow (* (* n PI) 2) 1/2)), (real->posit16 (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), -1, (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (- (- (log (sqrt k)) (* (/ (- 1 k) 2) (log (* (* n PI) 2))))), (exp (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (/ (/ (* k (sqrt k)) (* (pow (* (* n PI) 2) (/ (- 1 k) 2)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (* (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (* (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (cbrt (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (* (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), -1, (/ (- (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (fabs (cbrt k))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (sqrt k)), (pow (* (* n PI) 2) (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) 1/2)), (/ 1 (pow (* (* n PI) 2) (/ k 2))), (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (fabs (cbrt k))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (sqrt k)), (pow (* (* n PI) 2) (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) 1/2)), (/ 1 (pow (* (* n PI) 2) (/ k 2))), (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ 1 (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (cbrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (fabs (cbrt k))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (pow (* (* n PI) 2) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (sqrt k)), (pow (* (* n PI) 2) (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) 1/2)), (/ 1 (pow (* (* n PI) 2) (/ k 2))), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (/ 1 (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (fabs (cbrt k)) (pow n (/ (- 1 k) 2)))), (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (fabs (cbrt k))), (* (/ 1 (fabs (cbrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), 1, (pow (* (* n PI) 2) (/ (- 1 k) 4)), (/ 1 (/ (sqrt (sqrt k)) (pow n (/ (- 1 k) 2)))), (/ 1 (/ (/ (sqrt (sqrt k)) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))))), (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (* (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (sqrt (pow (* (* n PI) 2) (/ (- 1 k) 2))), 1, (pow (* (* n PI) 2) (/ (- 1 k) 4)), 1, (/ 1 (sqrt k)), (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) 1/2)), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ (sqrt k) (pow (* (* n PI) 2) (/ (- 1 k) 2))), (/ 1 (sqrt k)), (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ (- 1 k) 2)))), (- (+ (+ (* (* 1/4 (log (* 2 PI))) (* (exp (* (log (* (* n PI) 2)) 1/2)) (* (log n) (* k k)))) (* (* (* (exp (* (log (* (* n PI) 2)) 1/2)) (* (log n) (log n))) (* k k)) 1/8)) (+ (exp (* (log (* (* n PI) 2)) 1/2)) (* (* (* (log (* 2 PI)) (log (* 2 PI))) (* (* k k) (exp (* (log (* (* n PI) 2)) 1/2)))) 1/8))) (* 1/2 (+ (* (exp (* (log (* (* n PI) 2)) 1/2)) (* (log n) k)) (* (* (log (* 2 PI)) (exp (* (log (* (* n PI) 2)) 1/2))) k)))), (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))), (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))), (* (* n PI) 2), (* (* n PI) 2), (* (* n PI) 2), (- (- (/ (* +nan.0 (* (* (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)) (log (* 2 PI))) (sqrt 2))) PI) (- (* +nan.0 (/ (sqrt 1/2) (/ PI (* k k)))) (- (/ (* +nan.0 (* (* (sqrt 1/2) k) n)) (* PI PI)) (- (* (/ (* (log n) (* (* (* (sqrt 1/2) (sqrt 1/2)) (* k k)) (sqrt 2))) PI) +nan.0) (/ (* +nan.0 (* (sqrt 1/2) k)) PI)))))), (- (- (/ (* +nan.0 1) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (- (/ (* +nan.0 1) (* (* k k) (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))))) (/ (* +nan.0 1) (* (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k))))), (- (- (* (/ (exp (- (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))) k) +nan.0) (- (* +nan.0 (/ (exp (- (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))) (* k k))) (* +nan.0 (exp (- (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))))))), (- (- (* (* +nan.0 (sqrt 2)) (* (* n PI) k)) (- (* (* +nan.0 (sqrt 2)) (* n PI)) (- (* (* +nan.0 (log (* 2 PI))) (* (* (* n PI) k) (sqrt 2))) (- (* (* (sqrt 2) (* (* n PI) (* (log n) k))) +nan.0) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI)))))))), (- (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) k)) (- (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* k k))) (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* (* k k) k))))), (- (- (* (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) k) +nan.0) (- (/ (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0) (* k k)) (* (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0))))
10.688 * * * [progress]: adding candidates to table
13.992 * * [progress]: iteration 4 / 4
13.992 * * * [progress]: picking best candidate
14.024 * * * * [pick]: Picked  #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.024 * * * [progress]: localizing error
14.064 * * * [progress]: generating rewritten candidates
14.064 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
14.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
14.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
14.115 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
14.186 * * * [progress]: generating series expansions
14.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
14.187 * [backup-simplify]: Simplify (pow (* n (* PI 2)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
14.187 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
14.187 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
14.187 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
14.187 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
14.187 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
14.187 * [taylor]: Taking taylor expansion of 1/2 in k
14.187 * [backup-simplify]: Simplify 1/2 into 1/2
14.187 * [taylor]: Taking taylor expansion of (- 1 k) in k
14.187 * [taylor]: Taking taylor expansion of 1 in k
14.187 * [backup-simplify]: Simplify 1 into 1
14.188 * [taylor]: Taking taylor expansion of k in k
14.188 * [backup-simplify]: Simplify 0 into 0
14.188 * [backup-simplify]: Simplify 1 into 1
14.188 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
14.188 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
14.188 * [taylor]: Taking taylor expansion of 2 in k
14.188 * [backup-simplify]: Simplify 2 into 2
14.188 * [taylor]: Taking taylor expansion of (* n PI) in k
14.188 * [taylor]: Taking taylor expansion of n in k
14.188 * [backup-simplify]: Simplify n into n
14.188 * [taylor]: Taking taylor expansion of PI in k
14.188 * [backup-simplify]: Simplify PI into PI
14.188 * [backup-simplify]: Simplify (* n PI) into (* n PI)
14.188 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
14.188 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
14.188 * [backup-simplify]: Simplify (- 0) into 0
14.189 * [backup-simplify]: Simplify (+ 1 0) into 1
14.189 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.189 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
14.190 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
14.190 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
14.190 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
14.190 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
14.190 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
14.190 * [taylor]: Taking taylor expansion of 1/2 in n
14.190 * [backup-simplify]: Simplify 1/2 into 1/2
14.190 * [taylor]: Taking taylor expansion of (- 1 k) in n
14.190 * [taylor]: Taking taylor expansion of 1 in n
14.190 * [backup-simplify]: Simplify 1 into 1
14.190 * [taylor]: Taking taylor expansion of k in n
14.190 * [backup-simplify]: Simplify k into k
14.190 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.190 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.190 * [taylor]: Taking taylor expansion of 2 in n
14.190 * [backup-simplify]: Simplify 2 into 2
14.190 * [taylor]: Taking taylor expansion of (* n PI) in n
14.190 * [taylor]: Taking taylor expansion of n in n
14.190 * [backup-simplify]: Simplify 0 into 0
14.190 * [backup-simplify]: Simplify 1 into 1
14.190 * [taylor]: Taking taylor expansion of PI in n
14.190 * [backup-simplify]: Simplify PI into PI
14.191 * [backup-simplify]: Simplify (* 0 PI) into 0
14.191 * [backup-simplify]: Simplify (* 2 0) into 0
14.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.194 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.205 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.205 * [backup-simplify]: Simplify (- k) into (- k)
14.206 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
14.206 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
14.207 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.209 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
14.210 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
14.210 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
14.210 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
14.210 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
14.210 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
14.210 * [taylor]: Taking taylor expansion of 1/2 in n
14.210 * [backup-simplify]: Simplify 1/2 into 1/2
14.210 * [taylor]: Taking taylor expansion of (- 1 k) in n
14.210 * [taylor]: Taking taylor expansion of 1 in n
14.210 * [backup-simplify]: Simplify 1 into 1
14.210 * [taylor]: Taking taylor expansion of k in n
14.210 * [backup-simplify]: Simplify k into k
14.210 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.210 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.210 * [taylor]: Taking taylor expansion of 2 in n
14.210 * [backup-simplify]: Simplify 2 into 2
14.210 * [taylor]: Taking taylor expansion of (* n PI) in n
14.210 * [taylor]: Taking taylor expansion of n in n
14.211 * [backup-simplify]: Simplify 0 into 0
14.211 * [backup-simplify]: Simplify 1 into 1
14.211 * [taylor]: Taking taylor expansion of PI in n
14.211 * [backup-simplify]: Simplify PI into PI
14.211 * [backup-simplify]: Simplify (* 0 PI) into 0
14.212 * [backup-simplify]: Simplify (* 2 0) into 0
14.213 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.216 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.217 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.217 * [backup-simplify]: Simplify (- k) into (- k)
14.218 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
14.218 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
14.219 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.220 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
14.221 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
14.222 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
14.222 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
14.222 * [taylor]: Taking taylor expansion of 1/2 in k
14.222 * [backup-simplify]: Simplify 1/2 into 1/2
14.222 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
14.222 * [taylor]: Taking taylor expansion of (- 1 k) in k
14.222 * [taylor]: Taking taylor expansion of 1 in k
14.222 * [backup-simplify]: Simplify 1 into 1
14.222 * [taylor]: Taking taylor expansion of k in k
14.222 * [backup-simplify]: Simplify 0 into 0
14.223 * [backup-simplify]: Simplify 1 into 1
14.223 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
14.223 * [taylor]: Taking taylor expansion of (log n) in k
14.223 * [taylor]: Taking taylor expansion of n in k
14.223 * [backup-simplify]: Simplify n into n
14.223 * [backup-simplify]: Simplify (log n) into (log n)
14.223 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
14.223 * [taylor]: Taking taylor expansion of (* 2 PI) in k
14.223 * [taylor]: Taking taylor expansion of 2 in k
14.223 * [backup-simplify]: Simplify 2 into 2
14.223 * [taylor]: Taking taylor expansion of PI in k
14.223 * [backup-simplify]: Simplify PI into PI
14.223 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.225 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.225 * [backup-simplify]: Simplify (- 0) into 0
14.226 * [backup-simplify]: Simplify (+ 1 0) into 1
14.227 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.228 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
14.229 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
14.230 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
14.231 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
14.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.233 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
14.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.235 * [backup-simplify]: Simplify (- 0) into 0
14.235 * [backup-simplify]: Simplify (+ 0 0) into 0
14.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
14.237 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.238 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
14.240 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.240 * [taylor]: Taking taylor expansion of 0 in k
14.240 * [backup-simplify]: Simplify 0 into 0
14.240 * [backup-simplify]: Simplify 0 into 0
14.241 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.242 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.244 * [backup-simplify]: Simplify (+ 0 0) into 0
14.244 * [backup-simplify]: Simplify (- 1) into -1
14.245 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.246 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
14.248 * [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)))))
14.251 * [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)))))))
14.254 * [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)))))))
14.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
14.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
14.260 * [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
14.261 * [backup-simplify]: Simplify (- 0) into 0
14.261 * [backup-simplify]: Simplify (+ 0 0) into 0
14.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
14.263 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.265 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
14.267 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.267 * [taylor]: Taking taylor expansion of 0 in k
14.267 * [backup-simplify]: Simplify 0 into 0
14.267 * [backup-simplify]: Simplify 0 into 0
14.267 * [backup-simplify]: Simplify 0 into 0
14.269 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.271 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
14.275 * [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
14.275 * [backup-simplify]: Simplify (+ 0 0) into 0
14.276 * [backup-simplify]: Simplify (- 0) into 0
14.276 * [backup-simplify]: Simplify (+ 0 0) into 0
14.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
14.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
14.284 * [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)))))
14.289 * [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)))))
14.298 * [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)))))
14.299 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
14.299 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
14.299 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
14.299 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
14.299 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
14.299 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
14.299 * [taylor]: Taking taylor expansion of 1/2 in k
14.299 * [backup-simplify]: Simplify 1/2 into 1/2
14.299 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
14.299 * [taylor]: Taking taylor expansion of 1 in k
14.299 * [backup-simplify]: Simplify 1 into 1
14.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.299 * [taylor]: Taking taylor expansion of k in k
14.299 * [backup-simplify]: Simplify 0 into 0
14.299 * [backup-simplify]: Simplify 1 into 1
14.300 * [backup-simplify]: Simplify (/ 1 1) into 1
14.300 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
14.300 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
14.300 * [taylor]: Taking taylor expansion of 2 in k
14.300 * [backup-simplify]: Simplify 2 into 2
14.300 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.300 * [taylor]: Taking taylor expansion of PI in k
14.300 * [backup-simplify]: Simplify PI into PI
14.300 * [taylor]: Taking taylor expansion of n in k
14.300 * [backup-simplify]: Simplify n into n
14.300 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.300 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
14.300 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
14.300 * [backup-simplify]: Simplify (- 1) into -1
14.301 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.301 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
14.301 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
14.302 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
14.302 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
14.302 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
14.302 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
14.302 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
14.302 * [taylor]: Taking taylor expansion of 1/2 in n
14.302 * [backup-simplify]: Simplify 1/2 into 1/2
14.302 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.302 * [taylor]: Taking taylor expansion of 1 in n
14.302 * [backup-simplify]: Simplify 1 into 1
14.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.302 * [taylor]: Taking taylor expansion of k in n
14.302 * [backup-simplify]: Simplify k into k
14.302 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.302 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.302 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.302 * [taylor]: Taking taylor expansion of 2 in n
14.302 * [backup-simplify]: Simplify 2 into 2
14.302 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.302 * [taylor]: Taking taylor expansion of PI in n
14.302 * [backup-simplify]: Simplify PI into PI
14.302 * [taylor]: Taking taylor expansion of n in n
14.302 * [backup-simplify]: Simplify 0 into 0
14.302 * [backup-simplify]: Simplify 1 into 1
14.303 * [backup-simplify]: Simplify (/ PI 1) into PI
14.303 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.304 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.304 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.304 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.304 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
14.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.307 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.308 * [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)))))
14.308 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
14.308 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
14.308 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
14.308 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
14.308 * [taylor]: Taking taylor expansion of 1/2 in n
14.308 * [backup-simplify]: Simplify 1/2 into 1/2
14.308 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.308 * [taylor]: Taking taylor expansion of 1 in n
14.308 * [backup-simplify]: Simplify 1 into 1
14.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.308 * [taylor]: Taking taylor expansion of k in n
14.308 * [backup-simplify]: Simplify k into k
14.308 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.308 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.308 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.308 * [taylor]: Taking taylor expansion of 2 in n
14.308 * [backup-simplify]: Simplify 2 into 2
14.308 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.308 * [taylor]: Taking taylor expansion of PI in n
14.308 * [backup-simplify]: Simplify PI into PI
14.308 * [taylor]: Taking taylor expansion of n in n
14.308 * [backup-simplify]: Simplify 0 into 0
14.308 * [backup-simplify]: Simplify 1 into 1
14.309 * [backup-simplify]: Simplify (/ PI 1) into PI
14.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.310 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.310 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.310 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
14.311 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.312 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.314 * [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)))))
14.314 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
14.314 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
14.314 * [taylor]: Taking taylor expansion of 1/2 in k
14.314 * [backup-simplify]: Simplify 1/2 into 1/2
14.314 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
14.314 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
14.314 * [taylor]: Taking taylor expansion of 1 in k
14.314 * [backup-simplify]: Simplify 1 into 1
14.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.314 * [taylor]: Taking taylor expansion of k in k
14.314 * [backup-simplify]: Simplify 0 into 0
14.314 * [backup-simplify]: Simplify 1 into 1
14.314 * [backup-simplify]: Simplify (/ 1 1) into 1
14.314 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
14.315 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
14.315 * [taylor]: Taking taylor expansion of (* 2 PI) in k
14.315 * [taylor]: Taking taylor expansion of 2 in k
14.315 * [backup-simplify]: Simplify 2 into 2
14.315 * [taylor]: Taking taylor expansion of PI in k
14.315 * [backup-simplify]: Simplify PI into PI
14.315 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.316 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.316 * [taylor]: Taking taylor expansion of (log n) in k
14.316 * [taylor]: Taking taylor expansion of n in k
14.316 * [backup-simplify]: Simplify n into n
14.316 * [backup-simplify]: Simplify (log n) into (log n)
14.317 * [backup-simplify]: Simplify (- 1) into -1
14.318 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.318 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.319 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
14.320 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
14.321 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
14.322 * [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)))))
14.323 * [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)))))
14.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.325 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.328 * [backup-simplify]: Simplify (- 0) into 0
14.329 * [backup-simplify]: Simplify (+ 0 0) into 0
14.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
14.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.332 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
14.333 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.333 * [taylor]: Taking taylor expansion of 0 in k
14.333 * [backup-simplify]: Simplify 0 into 0
14.333 * [backup-simplify]: Simplify 0 into 0
14.333 * [backup-simplify]: Simplify 0 into 0
14.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
14.339 * [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
14.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.339 * [backup-simplify]: Simplify (- 0) into 0
14.340 * [backup-simplify]: Simplify (+ 0 0) into 0
14.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
14.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.343 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
14.346 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.346 * [taylor]: Taking taylor expansion of 0 in k
14.346 * [backup-simplify]: Simplify 0 into 0
14.346 * [backup-simplify]: Simplify 0 into 0
14.346 * [backup-simplify]: Simplify 0 into 0
14.346 * [backup-simplify]: Simplify 0 into 0
14.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.348 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.357 * [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
14.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.359 * [backup-simplify]: Simplify (- 0) into 0
14.359 * [backup-simplify]: Simplify (+ 0 0) into 0
14.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
14.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.363 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
14.366 * [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
14.366 * [taylor]: Taking taylor expansion of 0 in k
14.366 * [backup-simplify]: Simplify 0 into 0
14.366 * [backup-simplify]: Simplify 0 into 0
14.367 * [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))))))
14.367 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
14.367 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
14.367 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
14.367 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
14.368 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
14.368 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
14.368 * [taylor]: Taking taylor expansion of 1/2 in k
14.368 * [backup-simplify]: Simplify 1/2 into 1/2
14.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
14.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.368 * [taylor]: Taking taylor expansion of k in k
14.368 * [backup-simplify]: Simplify 0 into 0
14.368 * [backup-simplify]: Simplify 1 into 1
14.368 * [backup-simplify]: Simplify (/ 1 1) into 1
14.368 * [taylor]: Taking taylor expansion of 1 in k
14.368 * [backup-simplify]: Simplify 1 into 1
14.368 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
14.368 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
14.368 * [taylor]: Taking taylor expansion of -2 in k
14.368 * [backup-simplify]: Simplify -2 into -2
14.368 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.368 * [taylor]: Taking taylor expansion of PI in k
14.368 * [backup-simplify]: Simplify PI into PI
14.368 * [taylor]: Taking taylor expansion of n in k
14.368 * [backup-simplify]: Simplify n into n
14.368 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.368 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
14.369 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
14.369 * [backup-simplify]: Simplify (+ 1 0) into 1
14.369 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.369 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.370 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
14.370 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
14.370 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
14.370 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
14.370 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
14.370 * [taylor]: Taking taylor expansion of 1/2 in n
14.370 * [backup-simplify]: Simplify 1/2 into 1/2
14.370 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.370 * [taylor]: Taking taylor expansion of k in n
14.370 * [backup-simplify]: Simplify k into k
14.370 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.370 * [taylor]: Taking taylor expansion of 1 in n
14.370 * [backup-simplify]: Simplify 1 into 1
14.370 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.370 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.370 * [taylor]: Taking taylor expansion of -2 in n
14.370 * [backup-simplify]: Simplify -2 into -2
14.370 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.370 * [taylor]: Taking taylor expansion of PI in n
14.370 * [backup-simplify]: Simplify PI into PI
14.370 * [taylor]: Taking taylor expansion of n in n
14.370 * [backup-simplify]: Simplify 0 into 0
14.370 * [backup-simplify]: Simplify 1 into 1
14.371 * [backup-simplify]: Simplify (/ PI 1) into PI
14.371 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.372 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.372 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.372 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
14.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.374 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.375 * [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)))))
14.376 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
14.376 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
14.376 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
14.376 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
14.376 * [taylor]: Taking taylor expansion of 1/2 in n
14.376 * [backup-simplify]: Simplify 1/2 into 1/2
14.376 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.376 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.376 * [taylor]: Taking taylor expansion of k in n
14.376 * [backup-simplify]: Simplify k into k
14.376 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.376 * [taylor]: Taking taylor expansion of 1 in n
14.376 * [backup-simplify]: Simplify 1 into 1
14.376 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.376 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.376 * [taylor]: Taking taylor expansion of -2 in n
14.376 * [backup-simplify]: Simplify -2 into -2
14.376 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.376 * [taylor]: Taking taylor expansion of PI in n
14.376 * [backup-simplify]: Simplify PI into PI
14.376 * [taylor]: Taking taylor expansion of n in n
14.376 * [backup-simplify]: Simplify 0 into 0
14.376 * [backup-simplify]: Simplify 1 into 1
14.377 * [backup-simplify]: Simplify (/ PI 1) into PI
14.377 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.378 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.378 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.378 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
14.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.380 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.381 * [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)))))
14.382 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
14.382 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
14.382 * [taylor]: Taking taylor expansion of 1/2 in k
14.382 * [backup-simplify]: Simplify 1/2 into 1/2
14.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
14.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
14.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.382 * [taylor]: Taking taylor expansion of k in k
14.382 * [backup-simplify]: Simplify 0 into 0
14.382 * [backup-simplify]: Simplify 1 into 1
14.382 * [backup-simplify]: Simplify (/ 1 1) into 1
14.382 * [taylor]: Taking taylor expansion of 1 in k
14.382 * [backup-simplify]: Simplify 1 into 1
14.382 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
14.382 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
14.382 * [taylor]: Taking taylor expansion of (* -2 PI) in k
14.382 * [taylor]: Taking taylor expansion of -2 in k
14.382 * [backup-simplify]: Simplify -2 into -2
14.382 * [taylor]: Taking taylor expansion of PI in k
14.382 * [backup-simplify]: Simplify PI into PI
14.383 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.384 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.384 * [taylor]: Taking taylor expansion of (log n) in k
14.384 * [taylor]: Taking taylor expansion of n in k
14.384 * [backup-simplify]: Simplify n into n
14.384 * [backup-simplify]: Simplify (log n) into (log n)
14.384 * [backup-simplify]: Simplify (+ 1 0) into 1
14.384 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.385 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
14.386 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
14.387 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
14.387 * [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)))))
14.388 * [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)))))
14.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.389 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.390 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
14.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.390 * [backup-simplify]: Simplify (+ 0 0) into 0
14.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
14.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.392 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
14.393 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.393 * [taylor]: Taking taylor expansion of 0 in k
14.393 * [backup-simplify]: Simplify 0 into 0
14.393 * [backup-simplify]: Simplify 0 into 0
14.393 * [backup-simplify]: Simplify 0 into 0
14.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.394 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
14.396 * [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
14.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.397 * [backup-simplify]: Simplify (+ 0 0) into 0
14.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
14.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.399 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
14.400 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.400 * [taylor]: Taking taylor expansion of 0 in k
14.400 * [backup-simplify]: Simplify 0 into 0
14.400 * [backup-simplify]: Simplify 0 into 0
14.400 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify 0 into 0
14.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.402 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.405 * [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
14.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.405 * [backup-simplify]: Simplify (+ 0 0) into 0
14.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
14.407 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.408 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
14.410 * [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
14.410 * [taylor]: Taking taylor expansion of 0 in k
14.410 * [backup-simplify]: Simplify 0 into 0
14.410 * [backup-simplify]: Simplify 0 into 0
14.411 * [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))))))
14.411 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
14.411 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
14.411 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
14.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.411 * [taylor]: Taking taylor expansion of k in k
14.411 * [backup-simplify]: Simplify 0 into 0
14.411 * [backup-simplify]: Simplify 1 into 1
14.411 * [backup-simplify]: Simplify (/ 1 1) into 1
14.412 * [backup-simplify]: Simplify (sqrt 0) into 0
14.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.413 * [taylor]: Taking taylor expansion of k in k
14.413 * [backup-simplify]: Simplify 0 into 0
14.413 * [backup-simplify]: Simplify 1 into 1
14.413 * [backup-simplify]: Simplify (/ 1 1) into 1
14.413 * [backup-simplify]: Simplify (sqrt 0) into 0
14.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.414 * [backup-simplify]: Simplify 0 into 0
14.414 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.416 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.416 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.421 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
14.421 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
14.421 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
14.421 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.421 * [taylor]: Taking taylor expansion of k in k
14.421 * [backup-simplify]: Simplify 0 into 0
14.421 * [backup-simplify]: Simplify 1 into 1
14.422 * [backup-simplify]: Simplify (sqrt 0) into 0
14.423 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.423 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.423 * [taylor]: Taking taylor expansion of k in k
14.423 * [backup-simplify]: Simplify 0 into 0
14.423 * [backup-simplify]: Simplify 1 into 1
14.424 * [backup-simplify]: Simplify (sqrt 0) into 0
14.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.425 * [backup-simplify]: Simplify 0 into 0
14.425 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.428 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.428 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.433 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.433 * [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))))))))
14.433 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
14.433 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
14.433 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
14.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.433 * [taylor]: Taking taylor expansion of -1 in k
14.433 * [backup-simplify]: Simplify -1 into -1
14.433 * [taylor]: Taking taylor expansion of k in k
14.433 * [backup-simplify]: Simplify 0 into 0
14.433 * [backup-simplify]: Simplify 1 into 1
14.434 * [backup-simplify]: Simplify (/ -1 1) into -1
14.434 * [backup-simplify]: Simplify (sqrt 0) into 0
14.436 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.436 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
14.436 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
14.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.437 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.437 * [taylor]: Taking taylor expansion of -1 in k
14.437 * [backup-simplify]: Simplify -1 into -1
14.437 * [taylor]: Taking taylor expansion of k in k
14.437 * [backup-simplify]: Simplify 0 into 0
14.437 * [backup-simplify]: Simplify 1 into 1
14.437 * [backup-simplify]: Simplify (/ -1 1) into -1
14.438 * [backup-simplify]: Simplify (sqrt 0) into 0
14.439 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.440 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
14.440 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.444 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.446 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
14.446 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.456 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
14.457 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.458 * [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)))))
14.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
14.458 * [backup-simplify]: Simplify (* n (* PI 2)) into (* 2 (* n PI))
14.458 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
14.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.458 * [taylor]: Taking taylor expansion of 2 in n
14.458 * [backup-simplify]: Simplify 2 into 2
14.459 * [taylor]: Taking taylor expansion of (* n PI) in n
14.459 * [taylor]: Taking taylor expansion of n in n
14.459 * [backup-simplify]: Simplify 0 into 0
14.459 * [backup-simplify]: Simplify 1 into 1
14.459 * [taylor]: Taking taylor expansion of PI in n
14.459 * [backup-simplify]: Simplify PI into PI
14.459 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.459 * [taylor]: Taking taylor expansion of 2 in n
14.459 * [backup-simplify]: Simplify 2 into 2
14.459 * [taylor]: Taking taylor expansion of (* n PI) in n
14.459 * [taylor]: Taking taylor expansion of n in n
14.459 * [backup-simplify]: Simplify 0 into 0
14.459 * [backup-simplify]: Simplify 1 into 1
14.459 * [taylor]: Taking taylor expansion of PI in n
14.459 * [backup-simplify]: Simplify PI into PI
14.459 * [backup-simplify]: Simplify (* 0 PI) into 0
14.460 * [backup-simplify]: Simplify (* 2 0) into 0
14.460 * [backup-simplify]: Simplify 0 into 0
14.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.463 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.464 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
14.466 * [backup-simplify]: Simplify 0 into 0
14.467 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
14.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
14.468 * [backup-simplify]: Simplify 0 into 0
14.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
14.471 * [backup-simplify]: Simplify 0 into 0
14.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
14.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
14.474 * [backup-simplify]: Simplify 0 into 0
14.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
14.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
14.481 * [backup-simplify]: Simplify 0 into 0
14.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
14.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
14.485 * [backup-simplify]: Simplify 0 into 0
14.486 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
14.486 * [backup-simplify]: Simplify (* (/ 1 n) (* PI 2)) into (* 2 (/ PI n))
14.486 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
14.486 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.486 * [taylor]: Taking taylor expansion of 2 in n
14.486 * [backup-simplify]: Simplify 2 into 2
14.486 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.486 * [taylor]: Taking taylor expansion of PI in n
14.486 * [backup-simplify]: Simplify PI into PI
14.486 * [taylor]: Taking taylor expansion of n in n
14.487 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify 1 into 1
14.487 * [backup-simplify]: Simplify (/ PI 1) into PI
14.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.487 * [taylor]: Taking taylor expansion of 2 in n
14.487 * [backup-simplify]: Simplify 2 into 2
14.487 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.487 * [taylor]: Taking taylor expansion of PI in n
14.487 * [backup-simplify]: Simplify PI into PI
14.487 * [taylor]: Taking taylor expansion of n in n
14.487 * [backup-simplify]: Simplify 0 into 0
14.487 * [backup-simplify]: Simplify 1 into 1
14.488 * [backup-simplify]: Simplify (/ PI 1) into PI
14.488 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.489 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.490 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.490 * [backup-simplify]: Simplify 0 into 0
14.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.492 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
14.492 * [backup-simplify]: Simplify 0 into 0
14.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.494 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.494 * [backup-simplify]: Simplify 0 into 0
14.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.497 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.497 * [backup-simplify]: Simplify 0 into 0
14.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.498 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
14.498 * [backup-simplify]: Simplify 0 into 0
14.499 * [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
14.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
14.500 * [backup-simplify]: Simplify 0 into 0
14.500 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
14.501 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* PI 2)) into (* -2 (/ PI n))
14.501 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
14.501 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.501 * [taylor]: Taking taylor expansion of -2 in n
14.501 * [backup-simplify]: Simplify -2 into -2
14.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.501 * [taylor]: Taking taylor expansion of PI in n
14.501 * [backup-simplify]: Simplify PI into PI
14.501 * [taylor]: Taking taylor expansion of n in n
14.501 * [backup-simplify]: Simplify 0 into 0
14.501 * [backup-simplify]: Simplify 1 into 1
14.501 * [backup-simplify]: Simplify (/ PI 1) into PI
14.501 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.501 * [taylor]: Taking taylor expansion of -2 in n
14.501 * [backup-simplify]: Simplify -2 into -2
14.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.501 * [taylor]: Taking taylor expansion of PI in n
14.501 * [backup-simplify]: Simplify PI into PI
14.501 * [taylor]: Taking taylor expansion of n in n
14.501 * [backup-simplify]: Simplify 0 into 0
14.501 * [backup-simplify]: Simplify 1 into 1
14.502 * [backup-simplify]: Simplify (/ PI 1) into PI
14.502 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.502 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.503 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.503 * [backup-simplify]: Simplify 0 into 0
14.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.504 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
14.504 * [backup-simplify]: Simplify 0 into 0
14.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.506 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.506 * [backup-simplify]: Simplify 0 into 0
14.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.507 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
14.507 * [backup-simplify]: Simplify 0 into 0
14.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.509 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
14.509 * [backup-simplify]: Simplify 0 into 0
14.509 * [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
14.510 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
14.510 * [backup-simplify]: Simplify 0 into 0
14.511 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
14.511 * * * * [progress]: [ 4 / 4 ] generating series at (2)
14.511 * [backup-simplify]: Simplify (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
14.511 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
14.511 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
14.511 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
14.511 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
14.511 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
14.511 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
14.511 * [taylor]: Taking taylor expansion of 1/2 in n
14.511 * [backup-simplify]: Simplify 1/2 into 1/2
14.511 * [taylor]: Taking taylor expansion of (- 1 k) in n
14.511 * [taylor]: Taking taylor expansion of 1 in n
14.511 * [backup-simplify]: Simplify 1 into 1
14.511 * [taylor]: Taking taylor expansion of k in n
14.511 * [backup-simplify]: Simplify k into k
14.511 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.512 * [taylor]: Taking taylor expansion of 2 in n
14.512 * [backup-simplify]: Simplify 2 into 2
14.512 * [taylor]: Taking taylor expansion of (* n PI) in n
14.512 * [taylor]: Taking taylor expansion of n in n
14.512 * [backup-simplify]: Simplify 0 into 0
14.512 * [backup-simplify]: Simplify 1 into 1
14.512 * [taylor]: Taking taylor expansion of PI in n
14.512 * [backup-simplify]: Simplify PI into PI
14.512 * [backup-simplify]: Simplify (* 0 PI) into 0
14.512 * [backup-simplify]: Simplify (* 2 0) into 0
14.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.514 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.515 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.515 * [backup-simplify]: Simplify (- k) into (- k)
14.515 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
14.515 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
14.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.517 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
14.517 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
14.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
14.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.518 * [taylor]: Taking taylor expansion of k in n
14.518 * [backup-simplify]: Simplify k into k
14.518 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.518 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
14.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
14.518 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
14.518 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
14.518 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
14.518 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
14.518 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
14.518 * [taylor]: Taking taylor expansion of 1/2 in k
14.518 * [backup-simplify]: Simplify 1/2 into 1/2
14.518 * [taylor]: Taking taylor expansion of (- 1 k) in k
14.518 * [taylor]: Taking taylor expansion of 1 in k
14.518 * [backup-simplify]: Simplify 1 into 1
14.518 * [taylor]: Taking taylor expansion of k in k
14.518 * [backup-simplify]: Simplify 0 into 0
14.518 * [backup-simplify]: Simplify 1 into 1
14.518 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
14.518 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
14.518 * [taylor]: Taking taylor expansion of 2 in k
14.518 * [backup-simplify]: Simplify 2 into 2
14.518 * [taylor]: Taking taylor expansion of (* n PI) in k
14.518 * [taylor]: Taking taylor expansion of n in k
14.518 * [backup-simplify]: Simplify n into n
14.518 * [taylor]: Taking taylor expansion of PI in k
14.518 * [backup-simplify]: Simplify PI into PI
14.518 * [backup-simplify]: Simplify (* n PI) into (* n PI)
14.518 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
14.518 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
14.518 * [backup-simplify]: Simplify (- 0) into 0
14.519 * [backup-simplify]: Simplify (+ 1 0) into 1
14.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.519 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
14.519 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
14.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.519 * [taylor]: Taking taylor expansion of k in k
14.519 * [backup-simplify]: Simplify 0 into 0
14.519 * [backup-simplify]: Simplify 1 into 1
14.519 * [backup-simplify]: Simplify (/ 1 1) into 1
14.520 * [backup-simplify]: Simplify (sqrt 0) into 0
14.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.521 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
14.521 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
14.521 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
14.521 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
14.521 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
14.521 * [taylor]: Taking taylor expansion of 1/2 in k
14.521 * [backup-simplify]: Simplify 1/2 into 1/2
14.521 * [taylor]: Taking taylor expansion of (- 1 k) in k
14.521 * [taylor]: Taking taylor expansion of 1 in k
14.521 * [backup-simplify]: Simplify 1 into 1
14.521 * [taylor]: Taking taylor expansion of k in k
14.521 * [backup-simplify]: Simplify 0 into 0
14.521 * [backup-simplify]: Simplify 1 into 1
14.521 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
14.521 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
14.521 * [taylor]: Taking taylor expansion of 2 in k
14.521 * [backup-simplify]: Simplify 2 into 2
14.521 * [taylor]: Taking taylor expansion of (* n PI) in k
14.521 * [taylor]: Taking taylor expansion of n in k
14.521 * [backup-simplify]: Simplify n into n
14.521 * [taylor]: Taking taylor expansion of PI in k
14.521 * [backup-simplify]: Simplify PI into PI
14.521 * [backup-simplify]: Simplify (* n PI) into (* n PI)
14.521 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
14.521 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
14.521 * [backup-simplify]: Simplify (- 0) into 0
14.522 * [backup-simplify]: Simplify (+ 1 0) into 1
14.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.522 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
14.522 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
14.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.522 * [taylor]: Taking taylor expansion of k in k
14.522 * [backup-simplify]: Simplify 0 into 0
14.522 * [backup-simplify]: Simplify 1 into 1
14.522 * [backup-simplify]: Simplify (/ 1 1) into 1
14.523 * [backup-simplify]: Simplify (sqrt 0) into 0
14.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.524 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
14.524 * [taylor]: Taking taylor expansion of 0 in n
14.524 * [backup-simplify]: Simplify 0 into 0
14.524 * [backup-simplify]: Simplify 0 into 0
14.524 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
14.524 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
14.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
14.525 * [backup-simplify]: Simplify (- 1) into -1
14.525 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.526 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
14.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
14.526 * [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)))))
14.527 * [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)))))
14.527 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
14.527 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
14.527 * [taylor]: Taking taylor expansion of +nan.0 in n
14.527 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.527 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
14.527 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.527 * [taylor]: Taking taylor expansion of 2 in n
14.527 * [backup-simplify]: Simplify 2 into 2
14.527 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.527 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.527 * [taylor]: Taking taylor expansion of (* n PI) in n
14.527 * [taylor]: Taking taylor expansion of n in n
14.527 * [backup-simplify]: Simplify 0 into 0
14.527 * [backup-simplify]: Simplify 1 into 1
14.527 * [taylor]: Taking taylor expansion of PI in n
14.527 * [backup-simplify]: Simplify PI into PI
14.528 * [backup-simplify]: Simplify (* 0 PI) into 0
14.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.529 * [backup-simplify]: Simplify (sqrt 0) into 0
14.530 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.531 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
14.531 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.531 * [backup-simplify]: Simplify (- 0) into 0
14.532 * [backup-simplify]: Simplify 0 into 0
14.532 * [backup-simplify]: Simplify 0 into 0
14.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.536 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
14.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
14.539 * [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
14.539 * [backup-simplify]: Simplify (- 0) into 0
14.540 * [backup-simplify]: Simplify (+ 0 0) into 0
14.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
14.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
14.543 * [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)))
14.544 * [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)))))))
14.544 * [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
14.544 * [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
14.544 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
14.544 * [taylor]: Taking taylor expansion of +nan.0 in n
14.544 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.544 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
14.544 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
14.544 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.544 * [taylor]: Taking taylor expansion of 2 in n
14.544 * [backup-simplify]: Simplify 2 into 2
14.544 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.545 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.545 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.545 * [taylor]: Taking taylor expansion of 2 in n
14.545 * [backup-simplify]: Simplify 2 into 2
14.545 * [taylor]: Taking taylor expansion of (* n PI) in n
14.545 * [taylor]: Taking taylor expansion of n in n
14.545 * [backup-simplify]: Simplify 0 into 0
14.545 * [backup-simplify]: Simplify 1 into 1
14.545 * [taylor]: Taking taylor expansion of PI in n
14.545 * [backup-simplify]: Simplify PI into PI
14.546 * [backup-simplify]: Simplify (* 0 PI) into 0
14.546 * [backup-simplify]: Simplify (* 2 0) into 0
14.548 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.549 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.550 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.550 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.550 * [taylor]: Taking taylor expansion of (* n PI) in n
14.550 * [taylor]: Taking taylor expansion of n in n
14.550 * [backup-simplify]: Simplify 0 into 0
14.550 * [backup-simplify]: Simplify 1 into 1
14.550 * [taylor]: Taking taylor expansion of PI in n
14.550 * [backup-simplify]: Simplify PI into PI
14.551 * [backup-simplify]: Simplify (* 0 PI) into 0
14.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.553 * [backup-simplify]: Simplify (sqrt 0) into 0
14.554 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
14.555 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
14.555 * [taylor]: Taking taylor expansion of +nan.0 in n
14.555 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.555 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
14.555 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.555 * [taylor]: Taking taylor expansion of 2 in n
14.555 * [backup-simplify]: Simplify 2 into 2
14.555 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.556 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.556 * [taylor]: Taking taylor expansion of (* n PI) in n
14.556 * [taylor]: Taking taylor expansion of n in n
14.556 * [backup-simplify]: Simplify 0 into 0
14.556 * [backup-simplify]: Simplify 1 into 1
14.556 * [taylor]: Taking taylor expansion of PI in n
14.556 * [backup-simplify]: Simplify PI into PI
14.556 * [backup-simplify]: Simplify (* 0 PI) into 0
14.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.558 * [backup-simplify]: Simplify (sqrt 0) into 0
14.560 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.561 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.562 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
14.564 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
14.564 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.565 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
14.565 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.566 * [backup-simplify]: Simplify (- 0) into 0
14.566 * [backup-simplify]: Simplify (+ 0 0) into 0
14.566 * [backup-simplify]: Simplify (- 0) into 0
14.566 * [backup-simplify]: Simplify 0 into 0
14.569 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
14.575 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
14.578 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
14.581 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
14.581 * [backup-simplify]: Simplify 0 into 0
14.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.588 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
14.589 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
14.592 * [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
14.593 * [backup-simplify]: Simplify (- 0) into 0
14.593 * [backup-simplify]: Simplify (+ 0 0) into 0
14.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
14.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
14.598 * [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)))
14.599 * [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)))))))))
14.599 * [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
14.599 * [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
14.599 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
14.599 * [taylor]: Taking taylor expansion of +nan.0 in n
14.599 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.599 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
14.599 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
14.600 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.600 * [taylor]: Taking taylor expansion of 2 in n
14.600 * [backup-simplify]: Simplify 2 into 2
14.600 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.601 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.601 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.601 * [taylor]: Taking taylor expansion of 2 in n
14.601 * [backup-simplify]: Simplify 2 into 2
14.601 * [taylor]: Taking taylor expansion of (* n PI) in n
14.601 * [taylor]: Taking taylor expansion of n in n
14.601 * [backup-simplify]: Simplify 0 into 0
14.601 * [backup-simplify]: Simplify 1 into 1
14.601 * [taylor]: Taking taylor expansion of PI in n
14.601 * [backup-simplify]: Simplify PI into PI
14.602 * [backup-simplify]: Simplify (* 0 PI) into 0
14.602 * [backup-simplify]: Simplify (* 2 0) into 0
14.607 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.608 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.609 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.609 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.609 * [taylor]: Taking taylor expansion of (* n PI) in n
14.609 * [taylor]: Taking taylor expansion of n in n
14.610 * [backup-simplify]: Simplify 0 into 0
14.610 * [backup-simplify]: Simplify 1 into 1
14.610 * [taylor]: Taking taylor expansion of PI in n
14.610 * [backup-simplify]: Simplify PI into PI
14.610 * [backup-simplify]: Simplify (* 0 PI) into 0
14.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.612 * [backup-simplify]: Simplify (sqrt 0) into 0
14.614 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.614 * [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
14.614 * [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
14.614 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
14.614 * [taylor]: Taking taylor expansion of +nan.0 in n
14.614 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.614 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
14.614 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.614 * [taylor]: Taking taylor expansion of 2 in n
14.614 * [backup-simplify]: Simplify 2 into 2
14.614 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.615 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.615 * [taylor]: Taking taylor expansion of (* n PI) in n
14.615 * [taylor]: Taking taylor expansion of n in n
14.615 * [backup-simplify]: Simplify 0 into 0
14.615 * [backup-simplify]: Simplify 1 into 1
14.615 * [taylor]: Taking taylor expansion of PI in n
14.615 * [backup-simplify]: Simplify PI into PI
14.616 * [backup-simplify]: Simplify (* 0 PI) into 0
14.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.618 * [backup-simplify]: Simplify (sqrt 0) into 0
14.619 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
14.619 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
14.619 * [taylor]: Taking taylor expansion of +nan.0 in n
14.619 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.619 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
14.619 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
14.619 * [taylor]: Taking taylor expansion of (sqrt 2) in n
14.619 * [taylor]: Taking taylor expansion of 2 in n
14.619 * [backup-simplify]: Simplify 2 into 2
14.620 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
14.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
14.621 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
14.621 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
14.621 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
14.621 * [taylor]: Taking taylor expansion of 2 in n
14.621 * [backup-simplify]: Simplify 2 into 2
14.621 * [taylor]: Taking taylor expansion of (* n PI) in n
14.621 * [taylor]: Taking taylor expansion of n in n
14.621 * [backup-simplify]: Simplify 0 into 0
14.621 * [backup-simplify]: Simplify 1 into 1
14.621 * [taylor]: Taking taylor expansion of PI in n
14.621 * [backup-simplify]: Simplify PI into PI
14.621 * [backup-simplify]: Simplify (* 0 PI) into 0
14.622 * [backup-simplify]: Simplify (* 2 0) into 0
14.623 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.625 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
14.626 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.628 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.628 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
14.628 * [taylor]: Taking taylor expansion of (* n PI) in n
14.628 * [taylor]: Taking taylor expansion of n in n
14.628 * [backup-simplify]: Simplify 0 into 0
14.628 * [backup-simplify]: Simplify 1 into 1
14.628 * [taylor]: Taking taylor expansion of PI in n
14.628 * [backup-simplify]: Simplify PI into PI
14.628 * [backup-simplify]: Simplify (* 0 PI) into 0
14.630 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
14.630 * [backup-simplify]: Simplify (sqrt 0) into 0
14.632 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
14.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.635 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
14.636 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
14.637 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.637 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
14.638 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.639 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.641 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.643 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
14.644 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
14.646 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
14.646 * [backup-simplify]: Simplify (* +nan.0 0) into 0
14.647 * [backup-simplify]: Simplify (- 0) into 0
14.647 * [backup-simplify]: Simplify (+ 0 0) into 0
14.648 * [backup-simplify]: Simplify (- 0) into 0
14.648 * [backup-simplify]: Simplify (+ 0 0) into 0
14.649 * [backup-simplify]: Simplify (- 0) into 0
14.649 * [backup-simplify]: Simplify 0 into 0
14.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
14.652 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.654 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
14.655 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
14.658 * [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))))))))
14.664 * [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))))))))
14.667 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
14.672 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
14.675 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
14.684 * [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))))))))))
14.693 * [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)))))))
14.701 * [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)))))))
14.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
14.707 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
14.708 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
14.712 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
14.717 * [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))))
14.720 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
14.722 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
14.730 * [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)))))))))))))
14.731 * [backup-simplify]: Simplify (/ (/ 1 (sqrt (/ 1 k))) (/ 1 (pow (* (/ 1 n) (* PI 2)) (/ (- 1 (/ 1 k)) 2)))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
14.731 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
14.731 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
14.731 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
14.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
14.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
14.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
14.731 * [taylor]: Taking taylor expansion of 1/2 in n
14.731 * [backup-simplify]: Simplify 1/2 into 1/2
14.731 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.731 * [taylor]: Taking taylor expansion of 1 in n
14.731 * [backup-simplify]: Simplify 1 into 1
14.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.731 * [taylor]: Taking taylor expansion of k in n
14.731 * [backup-simplify]: Simplify k into k
14.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.731 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.731 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.731 * [taylor]: Taking taylor expansion of 2 in n
14.731 * [backup-simplify]: Simplify 2 into 2
14.731 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.731 * [taylor]: Taking taylor expansion of PI in n
14.731 * [backup-simplify]: Simplify PI into PI
14.731 * [taylor]: Taking taylor expansion of n in n
14.731 * [backup-simplify]: Simplify 0 into 0
14.731 * [backup-simplify]: Simplify 1 into 1
14.733 * [backup-simplify]: Simplify (/ PI 1) into PI
14.734 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.735 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.735 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.735 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
14.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.737 * [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)))))
14.737 * [taylor]: Taking taylor expansion of (sqrt k) in n
14.737 * [taylor]: Taking taylor expansion of k in n
14.737 * [backup-simplify]: Simplify k into k
14.737 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
14.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
14.737 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
14.737 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
14.737 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
14.737 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
14.737 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
14.737 * [taylor]: Taking taylor expansion of 1/2 in k
14.737 * [backup-simplify]: Simplify 1/2 into 1/2
14.737 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
14.737 * [taylor]: Taking taylor expansion of 1 in k
14.737 * [backup-simplify]: Simplify 1 into 1
14.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.737 * [taylor]: Taking taylor expansion of k in k
14.737 * [backup-simplify]: Simplify 0 into 0
14.737 * [backup-simplify]: Simplify 1 into 1
14.738 * [backup-simplify]: Simplify (/ 1 1) into 1
14.738 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
14.738 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
14.738 * [taylor]: Taking taylor expansion of 2 in k
14.738 * [backup-simplify]: Simplify 2 into 2
14.738 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.738 * [taylor]: Taking taylor expansion of PI in k
14.738 * [backup-simplify]: Simplify PI into PI
14.738 * [taylor]: Taking taylor expansion of n in k
14.738 * [backup-simplify]: Simplify n into n
14.738 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.738 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
14.738 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
14.738 * [backup-simplify]: Simplify (- 1) into -1
14.739 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.739 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
14.739 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
14.739 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
14.739 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.739 * [taylor]: Taking taylor expansion of k in k
14.739 * [backup-simplify]: Simplify 0 into 0
14.739 * [backup-simplify]: Simplify 1 into 1
14.739 * [backup-simplify]: Simplify (sqrt 0) into 0
14.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.740 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
14.740 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
14.740 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
14.740 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
14.740 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
14.740 * [taylor]: Taking taylor expansion of 1/2 in k
14.740 * [backup-simplify]: Simplify 1/2 into 1/2
14.740 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
14.740 * [taylor]: Taking taylor expansion of 1 in k
14.740 * [backup-simplify]: Simplify 1 into 1
14.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.740 * [taylor]: Taking taylor expansion of k in k
14.741 * [backup-simplify]: Simplify 0 into 0
14.741 * [backup-simplify]: Simplify 1 into 1
14.741 * [backup-simplify]: Simplify (/ 1 1) into 1
14.741 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
14.741 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
14.741 * [taylor]: Taking taylor expansion of 2 in k
14.741 * [backup-simplify]: Simplify 2 into 2
14.741 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.741 * [taylor]: Taking taylor expansion of PI in k
14.741 * [backup-simplify]: Simplify PI into PI
14.741 * [taylor]: Taking taylor expansion of n in k
14.741 * [backup-simplify]: Simplify n into n
14.741 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.741 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
14.741 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
14.742 * [backup-simplify]: Simplify (- 1) into -1
14.742 * [backup-simplify]: Simplify (+ 0 -1) into -1
14.743 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
14.743 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
14.743 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
14.743 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.743 * [taylor]: Taking taylor expansion of k in k
14.743 * [backup-simplify]: Simplify 0 into 0
14.743 * [backup-simplify]: Simplify 1 into 1
14.743 * [backup-simplify]: Simplify (sqrt 0) into 0
14.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.745 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
14.745 * [taylor]: Taking taylor expansion of 0 in n
14.745 * [backup-simplify]: Simplify 0 into 0
14.745 * [backup-simplify]: Simplify 0 into 0
14.746 * [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))))))))
14.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
14.746 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
14.746 * [taylor]: Taking taylor expansion of +nan.0 in n
14.746 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.746 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
14.746 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
14.746 * [taylor]: Taking taylor expansion of 1/2 in n
14.746 * [backup-simplify]: Simplify 1/2 into 1/2
14.746 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
14.746 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.746 * [taylor]: Taking taylor expansion of 1 in n
14.746 * [backup-simplify]: Simplify 1 into 1
14.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.746 * [taylor]: Taking taylor expansion of k in n
14.746 * [backup-simplify]: Simplify k into k
14.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.747 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.747 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.747 * [taylor]: Taking taylor expansion of 2 in n
14.747 * [backup-simplify]: Simplify 2 into 2
14.747 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.747 * [taylor]: Taking taylor expansion of PI in n
14.747 * [backup-simplify]: Simplify PI into PI
14.747 * [taylor]: Taking taylor expansion of n in n
14.747 * [backup-simplify]: Simplify 0 into 0
14.747 * [backup-simplify]: Simplify 1 into 1
14.747 * [backup-simplify]: Simplify (/ PI 1) into PI
14.748 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.749 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.749 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.749 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.752 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
14.753 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.754 * [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)))))
14.755 * [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))))))
14.756 * [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)))))))
14.758 * [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)))))))
14.758 * [backup-simplify]: Simplify 0 into 0
14.761 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.762 * [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))))))))
14.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
14.762 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
14.762 * [taylor]: Taking taylor expansion of +nan.0 in n
14.762 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.762 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
14.762 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
14.762 * [taylor]: Taking taylor expansion of 1/2 in n
14.762 * [backup-simplify]: Simplify 1/2 into 1/2
14.762 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
14.762 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.762 * [taylor]: Taking taylor expansion of 1 in n
14.762 * [backup-simplify]: Simplify 1 into 1
14.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.763 * [taylor]: Taking taylor expansion of k in n
14.763 * [backup-simplify]: Simplify k into k
14.763 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.763 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.763 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.763 * [taylor]: Taking taylor expansion of 2 in n
14.763 * [backup-simplify]: Simplify 2 into 2
14.763 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.763 * [taylor]: Taking taylor expansion of PI in n
14.763 * [backup-simplify]: Simplify PI into PI
14.763 * [taylor]: Taking taylor expansion of n in n
14.763 * [backup-simplify]: Simplify 0 into 0
14.763 * [backup-simplify]: Simplify 1 into 1
14.763 * [backup-simplify]: Simplify (/ PI 1) into PI
14.764 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.765 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.765 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.768 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
14.769 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.770 * [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)))))
14.771 * [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))))))
14.771 * [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)))))))
14.772 * [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)))))))
14.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
14.774 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
14.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.775 * [backup-simplify]: Simplify (- 0) into 0
14.775 * [backup-simplify]: Simplify (+ 0 0) into 0
14.776 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.776 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
14.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
14.778 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.780 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
14.780 * [backup-simplify]: Simplify (- 0) into 0
14.780 * [backup-simplify]: Simplify 0 into 0
14.780 * [backup-simplify]: Simplify 0 into 0
14.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.783 * [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))))))))
14.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
14.783 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
14.783 * [taylor]: Taking taylor expansion of +nan.0 in n
14.783 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.783 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
14.783 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
14.783 * [taylor]: Taking taylor expansion of 1/2 in n
14.783 * [backup-simplify]: Simplify 1/2 into 1/2
14.783 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
14.783 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
14.783 * [taylor]: Taking taylor expansion of 1 in n
14.783 * [backup-simplify]: Simplify 1 into 1
14.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.784 * [taylor]: Taking taylor expansion of k in n
14.784 * [backup-simplify]: Simplify k into k
14.784 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.784 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
14.784 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
14.784 * [taylor]: Taking taylor expansion of 2 in n
14.784 * [backup-simplify]: Simplify 2 into 2
14.784 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.784 * [taylor]: Taking taylor expansion of PI in n
14.784 * [backup-simplify]: Simplify PI into PI
14.784 * [taylor]: Taking taylor expansion of n in n
14.784 * [backup-simplify]: Simplify 0 into 0
14.784 * [backup-simplify]: Simplify 1 into 1
14.784 * [backup-simplify]: Simplify (/ PI 1) into PI
14.784 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
14.785 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
14.785 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
14.785 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
14.786 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
14.787 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
14.787 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
14.788 * [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)))))
14.789 * [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))))))
14.789 * [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)))))))
14.790 * [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)))))))
14.793 * [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))))))))
14.793 * [backup-simplify]: Simplify (/ (/ 1 (sqrt (/ 1 (- k)))) (/ 1 (pow (* (/ 1 (- n)) (* PI 2)) (/ (- 1 (/ 1 (- k))) 2)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
14.793 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
14.793 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
14.793 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
14.793 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
14.793 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
14.793 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
14.793 * [taylor]: Taking taylor expansion of 1/2 in n
14.793 * [backup-simplify]: Simplify 1/2 into 1/2
14.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.793 * [taylor]: Taking taylor expansion of k in n
14.793 * [backup-simplify]: Simplify k into k
14.793 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.793 * [taylor]: Taking taylor expansion of 1 in n
14.793 * [backup-simplify]: Simplify 1 into 1
14.793 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.793 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.793 * [taylor]: Taking taylor expansion of -2 in n
14.793 * [backup-simplify]: Simplify -2 into -2
14.793 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.793 * [taylor]: Taking taylor expansion of PI in n
14.793 * [backup-simplify]: Simplify PI into PI
14.794 * [taylor]: Taking taylor expansion of n in n
14.794 * [backup-simplify]: Simplify 0 into 0
14.794 * [backup-simplify]: Simplify 1 into 1
14.794 * [backup-simplify]: Simplify (/ PI 1) into PI
14.794 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.795 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.795 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.795 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
14.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.796 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.797 * [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)))))
14.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
14.797 * [taylor]: Taking taylor expansion of (/ -1 k) in n
14.797 * [taylor]: Taking taylor expansion of -1 in n
14.797 * [backup-simplify]: Simplify -1 into -1
14.797 * [taylor]: Taking taylor expansion of k in n
14.797 * [backup-simplify]: Simplify k into k
14.797 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
14.797 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
14.797 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
14.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
14.798 * [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)))
14.798 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
14.798 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
14.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
14.798 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
14.798 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
14.798 * [taylor]: Taking taylor expansion of 1/2 in k
14.798 * [backup-simplify]: Simplify 1/2 into 1/2
14.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
14.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.798 * [taylor]: Taking taylor expansion of k in k
14.798 * [backup-simplify]: Simplify 0 into 0
14.798 * [backup-simplify]: Simplify 1 into 1
14.799 * [backup-simplify]: Simplify (/ 1 1) into 1
14.799 * [taylor]: Taking taylor expansion of 1 in k
14.799 * [backup-simplify]: Simplify 1 into 1
14.799 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
14.799 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
14.799 * [taylor]: Taking taylor expansion of -2 in k
14.799 * [backup-simplify]: Simplify -2 into -2
14.799 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.799 * [taylor]: Taking taylor expansion of PI in k
14.799 * [backup-simplify]: Simplify PI into PI
14.799 * [taylor]: Taking taylor expansion of n in k
14.799 * [backup-simplify]: Simplify n into n
14.799 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.799 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
14.799 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
14.799 * [backup-simplify]: Simplify (+ 1 0) into 1
14.799 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.800 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.800 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
14.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.800 * [taylor]: Taking taylor expansion of -1 in k
14.800 * [backup-simplify]: Simplify -1 into -1
14.800 * [taylor]: Taking taylor expansion of k in k
14.800 * [backup-simplify]: Simplify 0 into 0
14.800 * [backup-simplify]: Simplify 1 into 1
14.800 * [backup-simplify]: Simplify (/ -1 1) into -1
14.800 * [backup-simplify]: Simplify (sqrt 0) into 0
14.801 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.801 * [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)))))
14.801 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
14.801 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
14.801 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
14.801 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
14.801 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
14.801 * [taylor]: Taking taylor expansion of 1/2 in k
14.801 * [backup-simplify]: Simplify 1/2 into 1/2
14.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
14.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.802 * [taylor]: Taking taylor expansion of k in k
14.802 * [backup-simplify]: Simplify 0 into 0
14.802 * [backup-simplify]: Simplify 1 into 1
14.802 * [backup-simplify]: Simplify (/ 1 1) into 1
14.802 * [taylor]: Taking taylor expansion of 1 in k
14.802 * [backup-simplify]: Simplify 1 into 1
14.802 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
14.802 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
14.802 * [taylor]: Taking taylor expansion of -2 in k
14.802 * [backup-simplify]: Simplify -2 into -2
14.802 * [taylor]: Taking taylor expansion of (/ PI n) in k
14.802 * [taylor]: Taking taylor expansion of PI in k
14.802 * [backup-simplify]: Simplify PI into PI
14.802 * [taylor]: Taking taylor expansion of n in k
14.802 * [backup-simplify]: Simplify n into n
14.802 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
14.802 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
14.802 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
14.802 * [backup-simplify]: Simplify (+ 1 0) into 1
14.803 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.803 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
14.803 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
14.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
14.803 * [taylor]: Taking taylor expansion of (/ -1 k) in k
14.803 * [taylor]: Taking taylor expansion of -1 in k
14.803 * [backup-simplify]: Simplify -1 into -1
14.803 * [taylor]: Taking taylor expansion of k in k
14.803 * [backup-simplify]: Simplify 0 into 0
14.803 * [backup-simplify]: Simplify 1 into 1
14.803 * [backup-simplify]: Simplify (/ -1 1) into -1
14.803 * [backup-simplify]: Simplify (sqrt 0) into 0
14.804 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
14.804 * [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)))))
14.804 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.805 * [taylor]: Taking taylor expansion of +nan.0 in n
14.805 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.805 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.805 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.805 * [taylor]: Taking taylor expansion of 1/2 in n
14.805 * [backup-simplify]: Simplify 1/2 into 1/2
14.805 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.805 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.805 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.805 * [taylor]: Taking taylor expansion of -2 in n
14.805 * [backup-simplify]: Simplify -2 into -2
14.805 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.805 * [taylor]: Taking taylor expansion of PI in n
14.805 * [backup-simplify]: Simplify PI into PI
14.805 * [taylor]: Taking taylor expansion of n in n
14.805 * [backup-simplify]: Simplify 0 into 0
14.805 * [backup-simplify]: Simplify 1 into 1
14.805 * [backup-simplify]: Simplify (/ PI 1) into PI
14.805 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.806 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.806 * [taylor]: Taking taylor expansion of k in n
14.806 * [backup-simplify]: Simplify k into k
14.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.806 * [taylor]: Taking taylor expansion of 1 in n
14.806 * [backup-simplify]: Simplify 1 into 1
14.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.807 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.808 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.809 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.809 * [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)))))
14.810 * [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))))))
14.811 * [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))))))
14.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
14.813 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.814 * [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))))))
14.814 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
14.814 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.814 * [taylor]: Taking taylor expansion of +nan.0 in n
14.814 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.814 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.814 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.814 * [taylor]: Taking taylor expansion of 1/2 in n
14.814 * [backup-simplify]: Simplify 1/2 into 1/2
14.814 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.814 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.814 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.814 * [taylor]: Taking taylor expansion of -2 in n
14.814 * [backup-simplify]: Simplify -2 into -2
14.814 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.814 * [taylor]: Taking taylor expansion of PI in n
14.814 * [backup-simplify]: Simplify PI into PI
14.814 * [taylor]: Taking taylor expansion of n in n
14.814 * [backup-simplify]: Simplify 0 into 0
14.814 * [backup-simplify]: Simplify 1 into 1
14.814 * [backup-simplify]: Simplify (/ PI 1) into PI
14.815 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.815 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.815 * [taylor]: Taking taylor expansion of k in n
14.815 * [backup-simplify]: Simplify k into k
14.815 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.815 * [taylor]: Taking taylor expansion of 1 in n
14.815 * [backup-simplify]: Simplify 1 into 1
14.816 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.816 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.817 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.818 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.818 * [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)))))
14.819 * [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))))))
14.820 * [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)))))))
14.821 * [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)))))))
14.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.822 * [backup-simplify]: Simplify (+ 0 0) into 0
14.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
14.823 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
14.824 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
14.825 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
14.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
14.827 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
14.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
14.828 * [backup-simplify]: Simplify 0 into 0
14.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.835 * [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))))))
14.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
14.835 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
14.835 * [taylor]: Taking taylor expansion of +nan.0 in n
14.835 * [backup-simplify]: Simplify +nan.0 into +nan.0
14.835 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
14.835 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
14.835 * [taylor]: Taking taylor expansion of 1/2 in n
14.835 * [backup-simplify]: Simplify 1/2 into 1/2
14.835 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
14.835 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
14.835 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
14.835 * [taylor]: Taking taylor expansion of -2 in n
14.835 * [backup-simplify]: Simplify -2 into -2
14.835 * [taylor]: Taking taylor expansion of (/ PI n) in n
14.835 * [taylor]: Taking taylor expansion of PI in n
14.835 * [backup-simplify]: Simplify PI into PI
14.835 * [taylor]: Taking taylor expansion of n in n
14.835 * [backup-simplify]: Simplify 0 into 0
14.835 * [backup-simplify]: Simplify 1 into 1
14.836 * [backup-simplify]: Simplify (/ PI 1) into PI
14.836 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
14.837 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
14.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
14.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.838 * [taylor]: Taking taylor expansion of k in n
14.838 * [backup-simplify]: Simplify k into k
14.838 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.838 * [taylor]: Taking taylor expansion of 1 in n
14.838 * [backup-simplify]: Simplify 1 into 1
14.842 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
14.842 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
14.844 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
14.845 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
14.846 * [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)))))
14.847 * [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))))))
14.848 * [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)))))))
14.850 * [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)))))))
14.854 * [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))))))))))))
14.854 * * * [progress]: simplifying candidates
14.854 * * * * [progress]: [ 1 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 2 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 3 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 4 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 5 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 6 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 7 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (* 1 (/ (- 1 k) 2))))))>
14.854 * * * * [progress]: [ 8 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))))>
14.854 * * * * [progress]: [ 9 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))))>
14.855 * * * * [progress]: [ 10 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))))>
14.855 * * * * [progress]: [ 11 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))))))>
14.855 * * * * [progress]: [ 12 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))))))>
14.855 * * * * [progress]: [ 13 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)))))>
14.855 * * * * [progress]: [ 14 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))))))>
14.855 * * * * [progress]: [ 15 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))))))>
14.855 * * * * [progress]: [ 16 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)))))>
14.855 * * * * [progress]: [ 17 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
14.855 * * * * [progress]: [ 18 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
14.855 * * * * [progress]: [ 19 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
14.855 * * * * [progress]: [ 20 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))))))>
14.855 * * * * [progress]: [ 21 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))))))>
14.855 * * * * [progress]: [ 22 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)))))>
14.855 * * * * [progress]: [ 23 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))))))>
14.856 * * * * [progress]: [ 24 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))))))>
14.856 * * * * [progress]: [ 25 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)))))>
14.856 * * * * [progress]: [ 26 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))))))>
14.856 * * * * [progress]: [ 27 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))))))>
14.856 * * * * [progress]: [ 28 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ 1 1)) (/ (- 1 k) 2)))))>
14.856 * * * * [progress]: [ 29 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
14.856 * * * * [progress]: [ 30 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (- 1 k)) (/ 1 2)))))>
14.856 * * * * [progress]: [ 31 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow n (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.856 * * * * [progress]: [ 32 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) (/ (- 1 k) 2)) 1))))>
14.856 * * * * [progress]: [ 33 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.856 * * * * [progress]: [ 34 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (log (exp (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.856 * * * * [progress]: [ 35 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.856 * * * * [progress]: [ 36 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.856 * * * * [progress]: [ 37 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.856 * * * * [progress]: [ 38 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.857 * * * * [progress]: [ 39 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.857 * * * * [progress]: [ 40 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (posit16->real (real->posit16 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.857 * * * * [progress]: [ 41 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 42 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- 1/2)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 43 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) (- 1)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 44 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- (/ 1 2))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 45 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 46 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 47 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- 0 (log (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 48 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log 1) (log (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 49 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 50 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 51 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 52 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 53 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 54 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 55 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (- 1) (- (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 56 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 57 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.857 * * * * [progress]: [ 58 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 59 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 60 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 61 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 62 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 63 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 64 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 65 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 66 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 67 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 68 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 69 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 70 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 71 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 72 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 73 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 1) (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 74 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 75 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 76 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 77 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 78 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 79 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 80 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt 1)) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 81 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 82 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.858 * * * * [progress]: [ 83 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 84 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 85 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 86 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 87 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 88 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 89 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* PI 2)) 1) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 90 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (+ (log n) (+ (log PI) (log 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 91 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (+ (log n) (log (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 92 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (log (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 93 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (log (exp (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 94 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* PI PI) PI) (* (* 2 2) 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 95 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* PI 2) (* PI 2)) (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 96 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* (cbrt (* n (* PI 2))) (cbrt (* n (* PI 2)))) (cbrt (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 97 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n (* PI 2)) (* n (* PI 2))) (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 98 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt (* n (* PI 2))) (sqrt (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 99 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* n (* PI 2))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 100 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 101 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* PI 2))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 102 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt n) (* (sqrt n) (* PI 2))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 103 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* n (* PI 2))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 104 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (posit16->real (real->posit16 (* n (* PI 2)))) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 105 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))))>
14.859 * * * * [progress]: [ 106 / 680 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) 1))>
14.860 * * * * [progress]: [ 107 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 108 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 109 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 110 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 111 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.860 * * * * [progress]: [ 112 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 113 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 114 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 115 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 116 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.860 * * * * [progress]: [ 117 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 118 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 119 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 120 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 121 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.860 * * * * [progress]: [ 122 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.860 * * * * [progress]: [ 123 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 124 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 125 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 126 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 127 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.860 * * * * [progress]: [ 128 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.860 * * * * [progress]: [ 129 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 130 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 131 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 132 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.861 * * * * [progress]: [ 133 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 134 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 135 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 136 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 137 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.861 * * * * [progress]: [ 138 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.861 * * * * [progress]: [ 139 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 140 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 141 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 142 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 143 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.861 * * * * [progress]: [ 144 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 145 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 146 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 147 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 148 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.861 * * * * [progress]: [ 149 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 150 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.861 * * * * [progress]: [ 151 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 152 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 153 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 154 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 155 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 156 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 157 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 158 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 159 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 160 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 161 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 162 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 163 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 164 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 165 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 166 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 167 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 168 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2))))))>
14.862 * * * * [progress]: [ 169 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 170 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 171 / 680 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 172 / 680 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 173 / 680 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.862 * * * * [progress]: [ 174 / 680 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 175 / 680 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 176 / 680 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 177 / 680 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 178 / 680 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 179 / 680 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 180 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ 1 (sqrt k))) (- (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.863 * * * * [progress]: [ 181 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 182 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 183 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.863 * * * * [progress]: [ 184 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 185 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 186 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.863 * * * * [progress]: [ 187 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.863 * * * * [progress]: [ 188 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.863 * * * * [progress]: [ 189 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 190 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.863 * * * * [progress]: [ 191 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) 1)) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.863 * * * * [progress]: [ 192 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.863 * * * * [progress]: [ 193 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 194 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 195 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 196 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 1)) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 197 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.864 * * * * [progress]: [ 198 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 199 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 200 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.864 * * * * [progress]: [ 201 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 202 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 203 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 204 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 205 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 206 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 207 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.864 * * * * [progress]: [ 208 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 209 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 210 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 211 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 212 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.864 * * * * [progress]: [ 213 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.864 * * * * [progress]: [ 214 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.864 * * * * [progress]: [ 215 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 216 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 1)) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 217 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.865 * * * * [progress]: [ 218 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 219 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 220 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.865 * * * * [progress]: [ 221 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 222 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 223 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 224 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 225 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 226 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 227 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.865 * * * * [progress]: [ 228 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 229 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 230 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 231 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 232 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.865 * * * * [progress]: [ 233 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.865 * * * * [progress]: [ 234 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.865 * * * * [progress]: [ 235 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 236 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 237 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.866 * * * * [progress]: [ 238 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 239 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 240 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.866 * * * * [progress]: [ 241 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 242 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 243 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 244 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 245 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 246 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 247 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.866 * * * * [progress]: [ 248 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 249 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 250 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.866 * * * * [progress]: [ 251 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 252 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.866 * * * * [progress]: [ 253 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.866 * * * * [progress]: [ 254 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 255 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 256 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 257 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.867 * * * * [progress]: [ 258 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 259 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 260 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.867 * * * * [progress]: [ 261 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 262 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 263 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 264 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 265 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 266 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 267 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.867 * * * * [progress]: [ 268 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 269 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 270 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.867 * * * * [progress]: [ 271 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.867 * * * * [progress]: [ 272 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.867 * * * * [progress]: [ 273 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 274 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 275 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 276 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 277 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.868 * * * * [progress]: [ 278 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 279 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 280 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.868 * * * * [progress]: [ 281 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 282 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 283 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 284 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 285 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 286 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 287 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.868 * * * * [progress]: [ 288 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 289 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 290 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.868 * * * * [progress]: [ 291 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.868 * * * * [progress]: [ 292 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.868 * * * * [progress]: [ 293 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 294 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 295 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 296 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 1)) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 297 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.869 * * * * [progress]: [ 298 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 299 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 300 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.869 * * * * [progress]: [ 301 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 302 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 303 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 304 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 305 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 306 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 307 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.869 * * * * [progress]: [ 308 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 309 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 310 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.869 * * * * [progress]: [ 311 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.869 * * * * [progress]: [ 312 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.869 * * * * [progress]: [ 313 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 314 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 315 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 316 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 317 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.870 * * * * [progress]: [ 318 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 319 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 320 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.870 * * * * [progress]: [ 321 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 322 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 323 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 324 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 325 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 326 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 327 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.870 * * * * [progress]: [ 328 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 329 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 330 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.870 * * * * [progress]: [ 331 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 332 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.870 * * * * [progress]: [ 333 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.870 * * * * [progress]: [ 334 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 335 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 336 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 1)) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 337 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.871 * * * * [progress]: [ 338 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 339 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 340 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.871 * * * * [progress]: [ 341 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 342 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 343 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 344 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 345 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 346 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 347 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.871 * * * * [progress]: [ 348 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 349 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 350 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 351 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 352 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.871 * * * * [progress]: [ 353 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.871 * * * * [progress]: [ 354 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 355 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.871 * * * * [progress]: [ 356 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 357 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.872 * * * * [progress]: [ 358 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 359 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 360 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.872 * * * * [progress]: [ 361 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 362 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 363 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 364 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 365 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 366 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 367 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.872 * * * * [progress]: [ 368 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 369 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 370 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 371 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 372 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.872 * * * * [progress]: [ 373 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.872 * * * * [progress]: [ 374 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 375 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.872 * * * * [progress]: [ 376 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 377 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.873 * * * * [progress]: [ 378 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 379 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 380 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.873 * * * * [progress]: [ 381 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 382 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 383 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 384 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 385 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 386 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 387 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.873 * * * * [progress]: [ 388 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 389 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 390 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 391 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 392 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.873 * * * * [progress]: [ 393 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.873 * * * * [progress]: [ 394 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 395 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.873 * * * * [progress]: [ 396 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 397 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.874 * * * * [progress]: [ 398 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 399 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 400 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.874 * * * * [progress]: [ 401 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 402 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 403 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 404 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 405 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 406 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 407 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.874 * * * * [progress]: [ 408 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 409 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 410 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 411 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 412 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.874 * * * * [progress]: [ 413 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 414 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 415 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.874 * * * * [progress]: [ 416 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 1)) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.874 * * * * [progress]: [ 417 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.874 * * * * [progress]: [ 418 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 419 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 420 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.875 * * * * [progress]: [ 421 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 422 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 423 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 424 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 425 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 426 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 427 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.875 * * * * [progress]: [ 428 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 429 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 430 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 431 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 432 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.875 * * * * [progress]: [ 433 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 434 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 435 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.875 * * * * [progress]: [ 436 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 437 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.875 * * * * [progress]: [ 438 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 439 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.875 * * * * [progress]: [ 440 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.876 * * * * [progress]: [ 441 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 442 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 443 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.877 * * * * [progress]: [ 444 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 445 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 446 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.877 * * * * [progress]: [ 447 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.877 * * * * [progress]: [ 448 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.877 * * * * [progress]: [ 449 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 450 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.877 * * * * [progress]: [ 451 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.877 * * * * [progress]: [ 452 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.877 * * * * [progress]: [ 453 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 454 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 455 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 456 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 1)) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 457 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.878 * * * * [progress]: [ 458 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 459 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 460 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.878 * * * * [progress]: [ 461 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 462 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 463 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 464 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 465 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 466 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 467 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.878 * * * * [progress]: [ 468 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 469 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 470 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.878 * * * * [progress]: [ 471 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.878 * * * * [progress]: [ 472 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.879 * * * * [progress]: [ 473 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.879 * * * * [progress]: [ 474 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 475 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 476 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.879 * * * * [progress]: [ 477 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.879 * * * * [progress]: [ 478 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.879 * * * * [progress]: [ 479 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.879 * * * * [progress]: [ 480 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.879 * * * * [progress]: [ 481 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 482 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 483 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.879 * * * * [progress]: [ 484 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 485 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.879 * * * * [progress]: [ 486 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 487 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.880 * * * * [progress]: [ 488 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 489 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 490 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 491 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 492 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.880 * * * * [progress]: [ 493 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 494 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 495 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 496 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 497 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.880 * * * * [progress]: [ 498 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 499 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 500 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.880 * * * * [progress]: [ 501 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 502 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 503 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.880 * * * * [progress]: [ 504 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 505 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.880 * * * * [progress]: [ 506 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 507 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.881 * * * * [progress]: [ 508 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 509 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 510 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 511 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 512 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.881 * * * * [progress]: [ 513 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 514 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 515 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 516 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 517 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.881 * * * * [progress]: [ 518 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 519 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 520 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.881 * * * * [progress]: [ 521 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 522 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 523 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 524 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 525 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.881 * * * * [progress]: [ 526 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.881 * * * * [progress]: [ 527 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.881 * * * * [progress]: [ 528 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 529 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 530 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 531 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 532 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.882 * * * * [progress]: [ 533 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 534 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 535 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 536 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 537 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.882 * * * * [progress]: [ 538 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 539 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 540 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.882 * * * * [progress]: [ 541 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 542 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 543 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 544 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 545 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 546 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 547 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.882 * * * * [progress]: [ 548 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.882 * * * * [progress]: [ 549 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.882 * * * * [progress]: [ 550 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 551 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 552 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.883 * * * * [progress]: [ 553 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 554 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 555 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 556 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 557 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.883 * * * * [progress]: [ 558 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 559 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 560 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))>
14.883 * * * * [progress]: [ 561 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 562 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 563 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 564 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 565 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 566 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 567 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.883 * * * * [progress]: [ 568 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 569 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 570 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.883 * * * * [progress]: [ 571 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.883 * * * * [progress]: [ 572 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.884 * * * * [progress]: [ 573 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 574 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 575 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 576 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 577 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.884 * * * * [progress]: [ 578 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 579 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 580 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.884 * * * * [progress]: [ 581 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 582 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 583 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 584 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 585 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 586 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 587 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.884 * * * * [progress]: [ 588 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 589 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 590 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 591 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 592 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.884 * * * * [progress]: [ 593 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.884 * * * * [progress]: [ 594 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.884 * * * * [progress]: [ 595 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 596 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 597 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.885 * * * * [progress]: [ 598 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 599 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 600 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.885 * * * * [progress]: [ 601 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 602 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 603 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 604 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 605 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 606 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 607 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.885 * * * * [progress]: [ 608 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 609 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 610 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 611 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 612 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.885 * * * * [progress]: [ 613 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 614 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 615 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.885 * * * * [progress]: [ 616 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 617 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2))))))>
14.885 * * * * [progress]: [ 618 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.885 * * * * [progress]: [ 619 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 620 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>
14.886 * * * * [progress]: [ 621 / 680 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 622 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 623 / 680 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
14.886 * * * * [progress]: [ 624 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 625 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 626 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 627 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 628 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 629 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 630 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
14.886 * * * * [progress]: [ 631 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 632 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 633 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 634 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 635 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
14.886 * * * * [progress]: [ 636 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow n (/ (- 1 k) 2)))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 637 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 638 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))))>
14.886 * * * * [progress]: [ 639 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 1)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 640 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))))>
14.886 * * * * [progress]: [ 641 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.886 * * * * [progress]: [ 642 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.887 * * * * [progress]: [ 643 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))>
14.887 * * * * [progress]: [ 644 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (/ 1 (sqrt k))))))>
14.887 * * * * [progress]: [ 645 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))))>
14.887 * * * * [progress]: [ 646 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (cbrt (sqrt k))))))>
14.887 * * * * [progress]: [ 647 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (cbrt k))))))>
14.887 * * * * [progress]: [ 648 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 649 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt k)))))>
14.887 * * * * [progress]: [ 650 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 651 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt k)))))>
14.887 * * * * [progress]: [ 652 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (cbrt (sqrt k))))))>
14.887 * * * * [progress]: [ 653 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (cbrt k))))))>
14.887 * * * * [progress]: [ 654 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 655 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt 1)) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt k)))))>
14.887 * * * * [progress]: [ 656 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 657 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) 1) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt k)))))>
14.887 * * * * [progress]: [ 658 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (cbrt (sqrt k))))))>
14.887 * * * * [progress]: [ 659 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (cbrt k))))))>
14.887 * * * * [progress]: [ 660 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 661 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt 1)) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
14.887 * * * * [progress]: [ 662 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k))))))>
14.887 * * * * [progress]: [ 663 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
14.887 * * * * [progress]: [ 664 / 680 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
14.887 * * * * [progress]: [ 665 / 680 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k)))))>
14.887 * * * * [progress]: [ 666 / 680 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* n (* PI 2)) (/ (- 1 k) 2))))>
14.887 * * * * [progress]: [ 667 / 680 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k))))>
14.888 * * * * [progress]: [ 668 / 680 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))>
14.888 * * * * [progress]: [ 669 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (- (+ (* 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))))))))>
14.888 * * * * [progress]: [ 670 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
14.888 * * * * [progress]: [ 671 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
14.888 * * * * [progress]: [ 672 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 673 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 674 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 675 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 676 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 677 / 680 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (/ (- 1 k) 2)))))>
14.888 * * * * [progress]: [ 678 / 680 ] 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))))))))))))))>
14.888 * * * * [progress]: [ 679 / 680 ] 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)))))))))>
14.888 * * * * [progress]: [ 680 / 680 ] 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)))))))))))))>
14.898 * [simplify]: Simplifying (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)), (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)), (* (log (* n (* PI 2))) (/ (- 1 k) 2)), (* (log (* n (* PI 2))) (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (* 1 (/ (- 1 k) 2)), (pow (* n (* PI 2)) (/ 1 2)), (pow (* n (* PI 2)) (/ k 2)), (pow (* n (* PI 2)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))), (pow (* n (* PI 2)) (sqrt (/ (- 1 k) 2))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))), (pow (* n (* PI 2)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)), (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)) 1)), (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ 1 (sqrt 2))), (pow (* n (* PI 2)) (/ 1 1)), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))), (pow (* n (* PI 2)) (/ (+ (sqrt 1) (sqrt k)) 1)), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) (sqrt 2))), (pow (* n (* PI 2)) (/ (+ 1 (sqrt k)) 1)), (pow (* n (* PI 2)) (/ 1 (* (cbrt 2) (cbrt 2)))), (pow (* n (* PI 2)) (/ 1 (sqrt 2))), (pow (* n (* PI 2)) (/ 1 1)), (pow (* n (* PI 2)) 1), (pow (* n (* PI 2)) (- 1 k)), (pow n (/ (- 1 k) 2)), (pow (* PI 2) (/ (- 1 k) 2)), (log (pow (* n (* PI 2)) (/ (- 1 k) 2))), (exp (pow (* n (* PI 2)) (/ (- 1 k) 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)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))), (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)), (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)), (real->posit16 (pow (* n (* PI 2)) (/ (- 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))), (* n (* PI 2)), (* n (* PI 2)), (+ (log n) (+ (log PI) (log 2))), (+ (log n) (log (* PI 2))), (log (* n (* PI 2))), (exp (* n (* PI 2))), (* (* (* n n) n) (* (* (* PI PI) PI) (* (* 2 2) 2))), (* (* (* n n) n) (* (* (* PI 2) (* PI 2)) (* 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 PI), (* (cbrt n) (* PI 2)), (* (sqrt n) (* PI 2)), (* n (* PI 2)), (real->posit16 (* n (* PI 2))), (- (- (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- 0 (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- 0 (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- 0 (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (- (log 1) (log (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (- (log 1) (log (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- 0 (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (+ (log PI) (log 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (log (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* PI 2))) (/ (- 1 k) 2)))), (- (log (/ 1 (sqrt k))) (- (log 1) (log (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (* (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (* (* (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (- (/ 1 (sqrt k))), (- (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) 1)), (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 1)), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) 1)), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 1)), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (sqrt (/ 1 (sqrt k))) 1), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) 1), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 1)), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1), (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) 1)), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 1)), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1), (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) 1), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) 1), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 1)), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt 1)) 1), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) 1), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) 1), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) 1), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ (sqrt 1) 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ (sqrt 1) 1)), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) 1) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ (sqrt 1) 1) (/ 1 1)), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ (sqrt 1) 1) 1), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) 1), (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)), (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt (cbrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) 1), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) 1), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt 1)) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt 1)) (/ 1 1)), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt 1)) 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt (sqrt k))) 1), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) 1), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2))), (/ (/ 1 1) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 1) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 1) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 1) (/ 1 1)), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 1) 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 1) 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 1) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ 1 (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) 1)), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 1)), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ 1 (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ (sqrt 1) 1)), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI 2) (/ (- 1 k) 2)))), (/ 1 (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ 1 (/ 1 1)), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ 1 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (sqrt k)) (pow (* n (* PI 2)) (/ k 2))), (/ 1 (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) 1)), (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ (sqrt 1) 1)), (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (/ 1 1)), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (/ (- 1 k) 2) 2)))), (/ (/ 1 (sqrt k)) 1), (/ (/ 1 (sqrt k)) 1), (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (/ 1 (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (cbrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (cbrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (cbrt 1) (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (cbrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (cbrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt 1) (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (cbrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (cbrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt (sqrt k)))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (sqrt k)) 1), (* (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt k)), (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ (- 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))))))))))))
14.926 * * [simplify]: iteration 1: (1006 enodes)
16.259 * * [simplify]: Extracting #0: cost 189 inf + 0
16.261 * * [simplify]: Extracting #1: cost 950 inf + 3
16.266 * * [simplify]: Extracting #2: cost 1046 inf + 2888
16.272 * * [simplify]: Extracting #3: cost 992 inf + 25776
16.311 * * [simplify]: Extracting #4: cost 471 inf + 216861
16.397 * * [simplify]: Extracting #5: cost 188 inf + 368669
16.494 * * [simplify]: Extracting #6: cost 112 inf + 401812
16.623 * * [simplify]: Extracting #7: cost 76 inf + 420078
16.716 * * [simplify]: Extracting #8: cost 54 inf + 429753
16.796 * * [simplify]: Extracting #9: cost 35 inf + 440665
16.895 * * [simplify]: Extracting #10: cost 16 inf + 453061
17.035 * * [simplify]: Extracting #11: cost 4 inf + 461163
17.139 * * [simplify]: Extracting #12: cost 0 inf + 463835
17.229 * [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) (/ (/ (+ 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 (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 n (/ (- 1 k) 2)), (pow (* 2 PI) (/ (- 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 (* (* 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) 4)), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (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)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))), (sqrt (/ 1 (sqrt k))), (sqrt (/ 1 (sqrt k))), -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, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 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, (/ 1 (sqrt k)), (/ 1 (sqrt (sqrt k))), (/ 1 (sqrt (sqrt k))), 1, (/ 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, (/ 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, (/ 1 (sqrt (sqrt k))), 1, (sqrt k), (sqrt k), (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)) (* PI (* PI PI))) 8), (* (* (* (* 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)), (* n PI), (* (cbrt n) (* 2 PI)), (* (sqrt n) (* 2 PI)), (* (* 2 PI) n), (real->posit16 (* (* 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))) (- (* (/ (- 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))) (- (* (/ (- 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))) (- (* (/ (- 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))))), (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ (/ 1 k) (sqrt k)) (/ (/ 1 (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ (/ (/ 1 k) (sqrt k)) (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ (/ (/ 1 (* (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))) (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (* (/ 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))))), (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 (sqrt k)), (/ -1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow n (/ (- 1 k) 2))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (cbrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow n (/ (- 1 k) 2))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (cbrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow n (/ (- 1 k) 2))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (cbrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))), (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (cbrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* 2 PI) n) 1/2)) (cbrt (/ 1 (sqrt k))))), (/ (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) 1), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (sqrt (/ 1 (sqrt k))) 1), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (/ 1 (sqrt k))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (sqrt (/ 1 (sqrt k))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (/ 1 (sqrt k))), (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (sqrt (/ 1 (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) 1/2)), (/ (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (fabs (cbrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))), (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) 1/2)), (/ (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (fabs (cbrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* 1 (fabs (cbrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))), (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* 1 (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* 1 (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (cbrt (sqrt k)))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))), (* (/ (/ 1 (cbrt (sqrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) 1/2)), (/ (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (fabs (cbrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* 1 (fabs (cbrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow n (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (/ (- 1 k) 2)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (* (/ 1 (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (cbrt k)))), (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (* (/ (/ 1 (fabs (cbrt k))) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ 1 (fabs (cbrt k))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))), (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))), (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* 1 (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* 1 (sqrt (sqrt k)))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* 2 PI) (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (* (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 4))) (sqrt (sqrt k)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 (sqrt (sqrt k))), (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ (/ 1 (sqrt (sqrt k))) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt (sqrt k)))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (/ 1 (* (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))), (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ 1 (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ 1 1), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (pow n (/ (- 1 k) 2)), (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))), (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (* (/ 1 (sqrt k)) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 4)), (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), 1, (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (pow (* (* 2 PI) n) 1/2), (/ (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ k 2))), (pow (* (* 2 PI) n) (/ (- 1 k) 2)), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))), (* (/ 1 (sqrt k)) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt k)) 1) (* (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 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ 1 (sqrt k)) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt k)) 1) (* (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 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (* (/ 1 (sqrt k)) (pow n (/ (- 1 k) 2))), (* (/ (/ 1 (sqrt k)) 1) (* (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 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 4))), (/ 1 (sqrt k)), (/ 1 (sqrt k)), (* (/ (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) 1/2)), (/ 1 (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (cbrt (sqrt k)))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt (cbrt k)))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ 1 (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt (cbrt k)))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (cbrt (sqrt k)))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt (cbrt k)))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (* (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1) (sqrt (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ (/ 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (/ 1 (sqrt k))), (/ 1 (sqrt k)), (/ (* 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))), (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))), (- (+ (+ (* (* (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (log n) (* k k))) (log (* 2 PI))) 1/4) (* (* 1/8 (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (log n) (log n)) (* k k)))) (+ (* 1/8 (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* k k)))) (exp (* (log (* (* 2 PI) n)) 1/2)))) (* 1/2 (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (log n) k)) (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2))) k)))), (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))), (exp (* 1/2 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k)))), (- (- (* (* k k) +nan.0) (- +nan.0 (* k +nan.0)))), (- (- (/ (* +nan.0 1) (* k k)) (- (* +nan.0 (/ 1 k)) (* (/ 1 (* (* k k) k)) +nan.0)))), (- (- (/ (* +nan.0 1) (* k k)) (- (* +nan.0 (/ 1 k)) +nan.0))), (* (* 2 PI) n), (* (* 2 PI) n), (* (* 2 PI) n), (- (- (* (* (sqrt 2) (* (* n PI) k)) +nan.0) (- (* (* +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))) (* (* (* (* PI PI) (* n n)) (sqrt 2)) +nan.0)))))), (- (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) k) (- (/ (* +nan.0 (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n)))))) (* k k)) (* +nan.0 (/ (exp (* (* 1/2 (- 1 k)) (- (log (* 2 PI)) (- (log n))))) (* (* k k) k)))))), (- (- (* +nan.0 (/ (exp (* 1/2 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k)))) k)) (- (/ (* (exp (* 1/2 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k)))) +nan.0) (* k k)) (* (exp (* 1/2 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k)))) +nan.0))))
17.316 * * * [progress]: adding candidates to table
25.935 * [progress]: [Phase 3 of 3] Extracting.
25.935 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))> #<alt (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))))> #<alt (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>)
25.937 * * * [regime-changes]: Trying 3 branch expressions: (n (* (* 2 PI) n) k)
25.937 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))> #<alt (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))))> #<alt (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>)
26.020 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))> #<alt (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))))> #<alt (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>)
26.064 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (/ 1 2)))) (pow (* n (* PI 2)) (/ k 2))))> #<alt (λ (k n) (* (/ (/ 1 (fabs (cbrt k))) (/ 1 (pow (* (* 2 PI) n) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ k 2)))))> #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* n (* PI 2)) (/ 1 2))) (pow (* n (* PI 2)) (/ k 2)))))> #<alt (λ (k n) (/ (* (/ 1 (fabs (cbrt k))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* PI 2)) (/ (- 1 k) 2)))))> #<alt (λ (k n) (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (* (- 1 k) 1/2)) (sqrt k)))))>)
26.118 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
26.118 * [simplify]: Simplifying (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* n PI) (* (- 1 k) 1/2))))
26.119 * * [simplify]: iteration 1: (14 enodes)
26.120 * * [simplify]: iteration 2: (18 enodes)
26.121 * * [simplify]: Extracting #0: cost 1 inf + 0
26.121 * * [simplify]: Extracting #1: cost 3 inf + 0
26.121 * * [simplify]: Extracting #2: cost 7 inf + 0
26.121 * * [simplify]: Extracting #3: cost 10 inf + 1
26.121 * * [simplify]: Extracting #4: cost 10 inf + 44
26.121 * * [simplify]: Extracting #5: cost 5 inf + 172
26.121 * * [simplify]: Extracting #6: cost 2 inf + 843
26.122 * * [simplify]: Extracting #7: cost 0 inf + 1924
26.122 * [simplify]: Simplified to (/ (pow 2 (* (- 1 k) 1/2)) (/ (sqrt k) (pow (* PI n) (* (- 1 k) 1/2))))
34.491 * [regime-testing]: Baseline error score: 0.4048544281763396
34.495 * [regime-testing]: Oracle error score: 0.05613008492174346
34.504 * [regime-testing]: End program error score: 0.4048544281763396