62.407 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.230 * * * [progress]: [2/2] Setting up program.
0.233 * [progress]: [Phase 2 of 3] Improving.
0.233 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.234 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.234 * * [simplify]: iteration 1: (13 enodes)
0.237 * * [simplify]: iteration 2: (29 enodes)
0.242 * * [simplify]: iteration 3: (60 enodes)
0.263 * * [simplify]: iteration 4: (123 enodes)
0.366 * * [simplify]: iteration 5: (322 enodes)
0.584 * * [simplify]: iteration 6: (817 enodes)
1.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1.609 * * [simplify]: Extracting #1: cost 58 inf + 0
1.611 * * [simplify]: Extracting #2: cost 198 inf + 1
1.614 * * [simplify]: Extracting #3: cost 265 inf + 46
1.617 * * [simplify]: Extracting #4: cost 245 inf + 1713
1.625 * * [simplify]: Extracting #5: cost 180 inf + 14173
1.665 * * [simplify]: Extracting #6: cost 61 inf + 110645
1.721 * * [simplify]: Extracting #7: cost 0 inf + 167860
1.768 * * [simplify]: Extracting #8: cost 0 inf + 164570
1.822 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
1.835 * * [progress]: iteration 1 / 4
1.835 * * * [progress]: picking best candidate
1.846 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1.846 * * * [progress]: localizing error
1.888 * * * [progress]: generating rewritten candidates
1.888 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.903 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.916 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.937 * * * [progress]: generating series expansions
1.937 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.938 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.938 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.938 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.938 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.938 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.938 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.938 * [taylor]: Taking taylor expansion of 1/2 in k
1.938 * [backup-simplify]: Simplify 1/2 into 1/2
1.938 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.938 * [taylor]: Taking taylor expansion of 1/2 in k
1.938 * [backup-simplify]: Simplify 1/2 into 1/2
1.938 * [taylor]: Taking taylor expansion of k in k
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 1 into 1
1.938 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.938 * [taylor]: Taking taylor expansion of 2 in k
1.938 * [backup-simplify]: Simplify 2 into 2
1.938 * [taylor]: Taking taylor expansion of (* n PI) in k
1.938 * [taylor]: Taking taylor expansion of n in k
1.938 * [backup-simplify]: Simplify n into n
1.938 * [taylor]: Taking taylor expansion of PI in k
1.938 * [backup-simplify]: Simplify PI into PI
1.938 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.938 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.938 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.939 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.939 * [backup-simplify]: Simplify (- 0) into 0
1.939 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.939 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.940 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.940 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.940 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.940 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.940 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.940 * [taylor]: Taking taylor expansion of 1/2 in n
1.940 * [backup-simplify]: Simplify 1/2 into 1/2
1.940 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.940 * [taylor]: Taking taylor expansion of 1/2 in n
1.940 * [backup-simplify]: Simplify 1/2 into 1/2
1.940 * [taylor]: Taking taylor expansion of k in n
1.940 * [backup-simplify]: Simplify k into k
1.940 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.940 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.940 * [taylor]: Taking taylor expansion of 2 in n
1.940 * [backup-simplify]: Simplify 2 into 2
1.940 * [taylor]: Taking taylor expansion of (* n PI) in n
1.940 * [taylor]: Taking taylor expansion of n in n
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.940 * [taylor]: Taking taylor expansion of PI in n
1.940 * [backup-simplify]: Simplify PI into PI
1.940 * [backup-simplify]: Simplify (* 0 PI) into 0
1.941 * [backup-simplify]: Simplify (* 2 0) into 0
1.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.943 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.943 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.943 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.943 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.943 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.944 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.945 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.946 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.946 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.946 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.946 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.946 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.946 * [taylor]: Taking taylor expansion of 1/2 in n
1.946 * [backup-simplify]: Simplify 1/2 into 1/2
1.946 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.946 * [taylor]: Taking taylor expansion of 1/2 in n
1.946 * [backup-simplify]: Simplify 1/2 into 1/2
1.946 * [taylor]: Taking taylor expansion of k in n
1.946 * [backup-simplify]: Simplify k into k
1.946 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.946 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.946 * [taylor]: Taking taylor expansion of 2 in n
1.946 * [backup-simplify]: Simplify 2 into 2
1.946 * [taylor]: Taking taylor expansion of (* n PI) in n
1.946 * [taylor]: Taking taylor expansion of n in n
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 1 into 1
1.946 * [taylor]: Taking taylor expansion of PI in n
1.946 * [backup-simplify]: Simplify PI into PI
1.946 * [backup-simplify]: Simplify (* 0 PI) into 0
1.947 * [backup-simplify]: Simplify (* 2 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.949 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.949 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.949 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.949 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.950 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.950 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.951 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.952 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.952 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1.952 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1.952 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.952 * [taylor]: Taking taylor expansion of 1/2 in k
1.952 * [backup-simplify]: Simplify 1/2 into 1/2
1.952 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.952 * [taylor]: Taking taylor expansion of 1/2 in k
1.952 * [backup-simplify]: Simplify 1/2 into 1/2
1.952 * [taylor]: Taking taylor expansion of k in k
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.952 * [taylor]: Taking taylor expansion of (log n) in k
1.952 * [taylor]: Taking taylor expansion of n in k
1.952 * [backup-simplify]: Simplify n into n
1.952 * [backup-simplify]: Simplify (log n) into (log n)
1.952 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.952 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.952 * [taylor]: Taking taylor expansion of 2 in k
1.952 * [backup-simplify]: Simplify 2 into 2
1.952 * [taylor]: Taking taylor expansion of PI in k
1.952 * [backup-simplify]: Simplify PI into PI
1.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.953 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.954 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.954 * [backup-simplify]: Simplify (- 0) into 0
1.954 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.955 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.955 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.956 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.957 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1.963 * [backup-simplify]: Simplify (- 0) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.965 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.965 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.967 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.967 * [taylor]: Taking taylor expansion of 0 in k
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify 0 into 0
1.967 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.968 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.969 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.969 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.970 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.970 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.978 * [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)))))))
1.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.982 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.985 * [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
1.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1.986 * [backup-simplify]: Simplify (- 0) into 0
1.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1.988 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.989 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.991 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.991 * [taylor]: Taking taylor expansion of 0 in k
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.993 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.995 * [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
1.995 * [backup-simplify]: Simplify (+ 0 0) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.996 * [backup-simplify]: Simplify (- 0) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
2.003 * [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)))))
2.009 * [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)))))
2.009 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.010 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.010 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.010 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.010 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.010 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.010 * [taylor]: Taking taylor expansion of 1/2 in k
2.010 * [backup-simplify]: Simplify 1/2 into 1/2
2.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.010 * [taylor]: Taking taylor expansion of 1/2 in k
2.010 * [backup-simplify]: Simplify 1/2 into 1/2
2.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.010 * [taylor]: Taking taylor expansion of k in k
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (/ 1 1) into 1
2.010 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.010 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.010 * [taylor]: Taking taylor expansion of 2 in k
2.010 * [backup-simplify]: Simplify 2 into 2
2.010 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.010 * [taylor]: Taking taylor expansion of PI in k
2.010 * [backup-simplify]: Simplify PI into PI
2.010 * [taylor]: Taking taylor expansion of n in k
2.010 * [backup-simplify]: Simplify n into n
2.010 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.010 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.010 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.011 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.011 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.011 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.011 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.011 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.011 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.011 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.011 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.011 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.011 * [taylor]: Taking taylor expansion of 1/2 in n
2.011 * [backup-simplify]: Simplify 1/2 into 1/2
2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.011 * [taylor]: Taking taylor expansion of 1/2 in n
2.011 * [backup-simplify]: Simplify 1/2 into 1/2
2.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.011 * [taylor]: Taking taylor expansion of k in n
2.012 * [backup-simplify]: Simplify k into k
2.012 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.012 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.012 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.012 * [taylor]: Taking taylor expansion of 2 in n
2.012 * [backup-simplify]: Simplify 2 into 2
2.012 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.012 * [taylor]: Taking taylor expansion of PI in n
2.012 * [backup-simplify]: Simplify PI into PI
2.012 * [taylor]: Taking taylor expansion of n in n
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify 1 into 1
2.012 * [backup-simplify]: Simplify (/ PI 1) into PI
2.012 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.013 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.013 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.013 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.013 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.015 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.016 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.016 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.016 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.016 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.016 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.016 * [taylor]: Taking taylor expansion of 1/2 in n
2.016 * [backup-simplify]: Simplify 1/2 into 1/2
2.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.016 * [taylor]: Taking taylor expansion of 1/2 in n
2.016 * [backup-simplify]: Simplify 1/2 into 1/2
2.016 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.016 * [taylor]: Taking taylor expansion of k in n
2.016 * [backup-simplify]: Simplify k into k
2.016 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.016 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.016 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.016 * [taylor]: Taking taylor expansion of 2 in n
2.016 * [backup-simplify]: Simplify 2 into 2
2.016 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.016 * [taylor]: Taking taylor expansion of PI in n
2.016 * [backup-simplify]: Simplify PI into PI
2.016 * [taylor]: Taking taylor expansion of n in n
2.016 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify 1 into 1
2.016 * [backup-simplify]: Simplify (/ PI 1) into PI
2.017 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.017 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.018 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.018 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.018 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.019 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.019 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.020 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.020 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.020 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.020 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.020 * [taylor]: Taking taylor expansion of 1/2 in k
2.020 * [backup-simplify]: Simplify 1/2 into 1/2
2.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.020 * [taylor]: Taking taylor expansion of 1/2 in k
2.020 * [backup-simplify]: Simplify 1/2 into 1/2
2.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.020 * [taylor]: Taking taylor expansion of k in k
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 1 into 1
2.021 * [backup-simplify]: Simplify (/ 1 1) into 1
2.021 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.021 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.021 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.021 * [taylor]: Taking taylor expansion of 2 in k
2.021 * [backup-simplify]: Simplify 2 into 2
2.021 * [taylor]: Taking taylor expansion of PI in k
2.021 * [backup-simplify]: Simplify PI into PI
2.021 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.022 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.022 * [taylor]: Taking taylor expansion of (log n) in k
2.022 * [taylor]: Taking taylor expansion of n in k
2.022 * [backup-simplify]: Simplify n into n
2.022 * [backup-simplify]: Simplify (log n) into (log n)
2.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.022 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.023 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.023 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.023 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.024 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.025 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.026 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.028 * [backup-simplify]: Simplify (- 0) into 0
2.029 * [backup-simplify]: Simplify (+ 0 0) into 0
2.030 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.030 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.032 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.032 * [taylor]: Taking taylor expansion of 0 in k
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify 0 into 0
2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.035 * [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
2.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.036 * [backup-simplify]: Simplify (- 0) into 0
2.037 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.038 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.040 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.040 * [taylor]: Taking taylor expansion of 0 in k
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 0 into 0
2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.045 * [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
2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.047 * [backup-simplify]: Simplify (- 0) into 0
2.047 * [backup-simplify]: Simplify (+ 0 0) into 0
2.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.050 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.053 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
2.053 * [taylor]: Taking taylor expansion of 0 in k
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
2.055 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.055 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.055 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.055 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.055 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.055 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.055 * [taylor]: Taking taylor expansion of 1/2 in k
2.055 * [backup-simplify]: Simplify 1/2 into 1/2
2.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.055 * [taylor]: Taking taylor expansion of k in k
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (/ 1 1) into 1
2.056 * [taylor]: Taking taylor expansion of 1/2 in k
2.056 * [backup-simplify]: Simplify 1/2 into 1/2
2.056 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.056 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.056 * [taylor]: Taking taylor expansion of -2 in k
2.056 * [backup-simplify]: Simplify -2 into -2
2.056 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.056 * [taylor]: Taking taylor expansion of PI in k
2.056 * [backup-simplify]: Simplify PI into PI
2.056 * [taylor]: Taking taylor expansion of n in k
2.056 * [backup-simplify]: Simplify n into n
2.056 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.056 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.056 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.057 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.057 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.057 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.057 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.058 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.058 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.058 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.058 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.058 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.058 * [taylor]: Taking taylor expansion of 1/2 in n
2.058 * [backup-simplify]: Simplify 1/2 into 1/2
2.058 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.058 * [taylor]: Taking taylor expansion of k in n
2.058 * [backup-simplify]: Simplify k into k
2.058 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.058 * [taylor]: Taking taylor expansion of 1/2 in n
2.058 * [backup-simplify]: Simplify 1/2 into 1/2
2.058 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.058 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.058 * [taylor]: Taking taylor expansion of -2 in n
2.058 * [backup-simplify]: Simplify -2 into -2
2.058 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.058 * [taylor]: Taking taylor expansion of PI in n
2.058 * [backup-simplify]: Simplify PI into PI
2.058 * [taylor]: Taking taylor expansion of n in n
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 1 into 1
2.059 * [backup-simplify]: Simplify (/ PI 1) into PI
2.059 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.060 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.060 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.060 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.062 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.063 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.064 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.064 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.064 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.064 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.064 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.064 * [taylor]: Taking taylor expansion of 1/2 in n
2.064 * [backup-simplify]: Simplify 1/2 into 1/2
2.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.064 * [taylor]: Taking taylor expansion of k in n
2.064 * [backup-simplify]: Simplify k into k
2.064 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.064 * [taylor]: Taking taylor expansion of 1/2 in n
2.065 * [backup-simplify]: Simplify 1/2 into 1/2
2.065 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.065 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.065 * [taylor]: Taking taylor expansion of -2 in n
2.065 * [backup-simplify]: Simplify -2 into -2
2.065 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.065 * [taylor]: Taking taylor expansion of PI in n
2.065 * [backup-simplify]: Simplify PI into PI
2.065 * [taylor]: Taking taylor expansion of n in n
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (/ PI 1) into PI
2.069 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.070 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.070 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.070 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.072 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.073 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.074 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.074 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.075 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.075 * [taylor]: Taking taylor expansion of 1/2 in k
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.075 * [taylor]: Taking taylor expansion of k in k
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (/ 1 1) into 1
2.075 * [taylor]: Taking taylor expansion of 1/2 in k
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.075 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.075 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.075 * [taylor]: Taking taylor expansion of -2 in k
2.075 * [backup-simplify]: Simplify -2 into -2
2.075 * [taylor]: Taking taylor expansion of PI in k
2.075 * [backup-simplify]: Simplify PI into PI
2.076 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.077 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.077 * [taylor]: Taking taylor expansion of (log n) in k
2.077 * [taylor]: Taking taylor expansion of n in k
2.077 * [backup-simplify]: Simplify n into n
2.077 * [backup-simplify]: Simplify (log n) into (log n)
2.077 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.078 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.078 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.079 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.080 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.081 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.083 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.088 * [backup-simplify]: Simplify (+ 0 0) into 0
2.089 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.091 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.093 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.093 * [taylor]: Taking taylor expansion of 0 in k
2.093 * [backup-simplify]: Simplify 0 into 0
2.093 * [backup-simplify]: Simplify 0 into 0
2.093 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.095 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.099 * [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
2.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.101 * [backup-simplify]: Simplify (+ 0 0) into 0
2.102 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.104 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.106 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.107 * [taylor]: Taking taylor expansion of 0 in k
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.109 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.115 * [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
2.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.117 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.121 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.123 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.124 * [taylor]: Taking taylor expansion of 0 in k
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.125 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.126 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.126 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.126 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.126 * [taylor]: Taking taylor expansion of 2 in n
2.126 * [backup-simplify]: Simplify 2 into 2
2.126 * [taylor]: Taking taylor expansion of (* n PI) in n
2.126 * [taylor]: Taking taylor expansion of n in n
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [taylor]: Taking taylor expansion of PI in n
2.126 * [backup-simplify]: Simplify PI into PI
2.126 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.126 * [taylor]: Taking taylor expansion of 2 in n
2.126 * [backup-simplify]: Simplify 2 into 2
2.126 * [taylor]: Taking taylor expansion of (* n PI) in n
2.126 * [taylor]: Taking taylor expansion of n in n
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [taylor]: Taking taylor expansion of PI in n
2.126 * [backup-simplify]: Simplify PI into PI
2.127 * [backup-simplify]: Simplify (* 0 PI) into 0
2.127 * [backup-simplify]: Simplify (* 2 0) into 0
2.127 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.131 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.131 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.133 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.139 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.147 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.153 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.153 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.153 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.153 * [taylor]: Taking taylor expansion of 2 in n
2.153 * [backup-simplify]: Simplify 2 into 2
2.153 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.153 * [taylor]: Taking taylor expansion of PI in n
2.153 * [backup-simplify]: Simplify PI into PI
2.153 * [taylor]: Taking taylor expansion of n in n
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 1 into 1
2.153 * [backup-simplify]: Simplify (/ PI 1) into PI
2.153 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.153 * [taylor]: Taking taylor expansion of 2 in n
2.153 * [backup-simplify]: Simplify 2 into 2
2.153 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.153 * [taylor]: Taking taylor expansion of PI in n
2.153 * [backup-simplify]: Simplify PI into PI
2.153 * [taylor]: Taking taylor expansion of n in n
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.154 * [backup-simplify]: Simplify (/ PI 1) into PI
2.155 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.155 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.159 * [backup-simplify]: Simplify 0 into 0
2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.161 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.162 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.164 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.167 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.167 * [backup-simplify]: Simplify 0 into 0
2.168 * [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
2.170 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.171 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.171 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.172 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.172 * [taylor]: Taking taylor expansion of -2 in n
2.172 * [backup-simplify]: Simplify -2 into -2
2.172 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.172 * [taylor]: Taking taylor expansion of PI in n
2.172 * [backup-simplify]: Simplify PI into PI
2.172 * [taylor]: Taking taylor expansion of n in n
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (/ PI 1) into PI
2.172 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.172 * [taylor]: Taking taylor expansion of -2 in n
2.172 * [backup-simplify]: Simplify -2 into -2
2.172 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.172 * [taylor]: Taking taylor expansion of PI in n
2.172 * [backup-simplify]: Simplify PI into PI
2.172 * [taylor]: Taking taylor expansion of n in n
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.173 * [backup-simplify]: Simplify (/ PI 1) into PI
2.174 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.174 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.176 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.176 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.178 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.181 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.184 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.186 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.186 * [backup-simplify]: Simplify 0 into 0
2.188 * [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
2.189 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.190 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.191 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.191 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.191 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.191 * [taylor]: Taking taylor expansion of k in k
2.191 * [backup-simplify]: Simplify 0 into 0
2.191 * [backup-simplify]: Simplify 1 into 1
2.192 * [backup-simplify]: Simplify (/ 1 1) into 1
2.192 * [backup-simplify]: Simplify (sqrt 0) into 0
2.194 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.194 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.194 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.194 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.194 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.194 * [taylor]: Taking taylor expansion of 1/2 in k
2.194 * [backup-simplify]: Simplify 1/2 into 1/2
2.194 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.194 * [taylor]: Taking taylor expansion of 1/2 in k
2.194 * [backup-simplify]: Simplify 1/2 into 1/2
2.194 * [taylor]: Taking taylor expansion of k in k
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify 1 into 1
2.194 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.194 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.194 * [taylor]: Taking taylor expansion of 2 in k
2.194 * [backup-simplify]: Simplify 2 into 2
2.194 * [taylor]: Taking taylor expansion of (* n PI) in k
2.194 * [taylor]: Taking taylor expansion of n in k
2.194 * [backup-simplify]: Simplify n into n
2.194 * [taylor]: Taking taylor expansion of PI in k
2.195 * [backup-simplify]: Simplify PI into PI
2.195 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.195 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.195 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.196 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.196 * [backup-simplify]: Simplify (- 0) into 0
2.196 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.196 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.197 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.197 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.197 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.197 * [taylor]: Taking taylor expansion of k in n
2.197 * [backup-simplify]: Simplify k into k
2.197 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.197 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.197 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.197 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.197 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.197 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.197 * [taylor]: Taking taylor expansion of 1/2 in n
2.197 * [backup-simplify]: Simplify 1/2 into 1/2
2.197 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.197 * [taylor]: Taking taylor expansion of 1/2 in n
2.197 * [backup-simplify]: Simplify 1/2 into 1/2
2.197 * [taylor]: Taking taylor expansion of k in n
2.197 * [backup-simplify]: Simplify k into k
2.197 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.197 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.197 * [taylor]: Taking taylor expansion of 2 in n
2.197 * [backup-simplify]: Simplify 2 into 2
2.197 * [taylor]: Taking taylor expansion of (* n PI) in n
2.197 * [taylor]: Taking taylor expansion of n in n
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 1 into 1
2.197 * [taylor]: Taking taylor expansion of PI in n
2.198 * [backup-simplify]: Simplify PI into PI
2.198 * [backup-simplify]: Simplify (* 0 PI) into 0
2.198 * [backup-simplify]: Simplify (* 2 0) into 0
2.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.202 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.203 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.203 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.203 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.203 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.204 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.205 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.207 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.207 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.207 * [taylor]: Taking taylor expansion of k in n
2.207 * [backup-simplify]: Simplify k into k
2.207 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.207 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.207 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.207 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.207 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.207 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.207 * [taylor]: Taking taylor expansion of 1/2 in n
2.207 * [backup-simplify]: Simplify 1/2 into 1/2
2.207 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.207 * [taylor]: Taking taylor expansion of 1/2 in n
2.207 * [backup-simplify]: Simplify 1/2 into 1/2
2.207 * [taylor]: Taking taylor expansion of k in n
2.207 * [backup-simplify]: Simplify k into k
2.207 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.207 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.207 * [taylor]: Taking taylor expansion of 2 in n
2.207 * [backup-simplify]: Simplify 2 into 2
2.207 * [taylor]: Taking taylor expansion of (* n PI) in n
2.207 * [taylor]: Taking taylor expansion of n in n
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 1 into 1
2.208 * [taylor]: Taking taylor expansion of PI in n
2.208 * [backup-simplify]: Simplify PI into PI
2.208 * [backup-simplify]: Simplify (* 0 PI) into 0
2.208 * [backup-simplify]: Simplify (* 2 0) into 0
2.210 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.212 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.213 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.213 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.213 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.213 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.215 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.216 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.217 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.219 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.219 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.219 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.219 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.219 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.219 * [taylor]: Taking taylor expansion of 1/2 in k
2.219 * [backup-simplify]: Simplify 1/2 into 1/2
2.219 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.219 * [taylor]: Taking taylor expansion of 1/2 in k
2.219 * [backup-simplify]: Simplify 1/2 into 1/2
2.219 * [taylor]: Taking taylor expansion of k in k
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 1 into 1
2.219 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.219 * [taylor]: Taking taylor expansion of (log n) in k
2.219 * [taylor]: Taking taylor expansion of n in k
2.219 * [backup-simplify]: Simplify n into n
2.219 * [backup-simplify]: Simplify (log n) into (log n)
2.219 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.219 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.219 * [taylor]: Taking taylor expansion of 2 in k
2.219 * [backup-simplify]: Simplify 2 into 2
2.219 * [taylor]: Taking taylor expansion of PI in k
2.219 * [backup-simplify]: Simplify PI into PI
2.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.221 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.221 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.222 * [backup-simplify]: Simplify (- 0) into 0
2.222 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.227 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.228 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.229 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.230 * [taylor]: Taking taylor expansion of k in k
2.230 * [backup-simplify]: Simplify 0 into 0
2.230 * [backup-simplify]: Simplify 1 into 1
2.230 * [backup-simplify]: Simplify (/ 1 1) into 1
2.230 * [backup-simplify]: Simplify (sqrt 0) into 0
2.232 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.233 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.233 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.236 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.239 * [backup-simplify]: Simplify (- 0) into 0
2.239 * [backup-simplify]: Simplify (+ 0 0) into 0
2.241 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.242 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.244 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.246 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.246 * [taylor]: Taking taylor expansion of 0 in k
2.246 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.248 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.250 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.250 * [backup-simplify]: Simplify (+ 0 0) into 0
2.251 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.252 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.252 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.257 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.261 * [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)))))))
2.263 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.268 * [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
2.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.270 * [backup-simplify]: Simplify (- 0) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.271 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.272 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.273 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.274 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.275 * [taylor]: Taking taylor expansion of 0 in k
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.279 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.281 * [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
2.282 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.283 * [backup-simplify]: Simplify (- 0) into 0
2.283 * [backup-simplify]: Simplify (+ 0 0) into 0
2.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.287 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
2.292 * [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))))))))
2.295 * [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))))))))
2.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.301 * [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
2.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.302 * [backup-simplify]: Simplify (- 0) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.304 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.306 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.308 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.308 * [taylor]: Taking taylor expansion of 0 in k
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.313 * [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
2.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.317 * [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
2.318 * [backup-simplify]: Simplify (+ 0 0) into 0
2.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.319 * [backup-simplify]: Simplify (- 0) into 0
2.319 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.327 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))))
2.349 * [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))))))))))))))
2.362 * [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))))))))))))))
2.380 * [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))))))))))))))))))))))
2.381 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.381 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.381 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.381 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.381 * [taylor]: Taking taylor expansion of k in k
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.381 * [backup-simplify]: Simplify (sqrt 0) into 0
2.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.382 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.382 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.382 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.382 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.382 * [taylor]: Taking taylor expansion of 1/2 in k
2.382 * [backup-simplify]: Simplify 1/2 into 1/2
2.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.382 * [taylor]: Taking taylor expansion of 1/2 in k
2.382 * [backup-simplify]: Simplify 1/2 into 1/2
2.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.382 * [taylor]: Taking taylor expansion of k in k
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify 1 into 1
2.383 * [backup-simplify]: Simplify (/ 1 1) into 1
2.383 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.383 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.383 * [taylor]: Taking taylor expansion of 2 in k
2.383 * [backup-simplify]: Simplify 2 into 2
2.383 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.383 * [taylor]: Taking taylor expansion of PI in k
2.383 * [backup-simplify]: Simplify PI into PI
2.383 * [taylor]: Taking taylor expansion of n in k
2.383 * [backup-simplify]: Simplify n into n
2.383 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.383 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.383 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.383 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.384 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.384 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.384 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.384 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.384 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.384 * [taylor]: Taking taylor expansion of k in n
2.384 * [backup-simplify]: Simplify k into k
2.384 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.384 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.384 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.384 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.384 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.384 * [taylor]: Taking taylor expansion of 1/2 in n
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.384 * [taylor]: Taking taylor expansion of 1/2 in n
2.384 * [backup-simplify]: Simplify 1/2 into 1/2
2.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.384 * [taylor]: Taking taylor expansion of k in n
2.384 * [backup-simplify]: Simplify k into k
2.384 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.384 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.384 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.384 * [taylor]: Taking taylor expansion of 2 in n
2.384 * [backup-simplify]: Simplify 2 into 2
2.384 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.384 * [taylor]: Taking taylor expansion of PI in n
2.384 * [backup-simplify]: Simplify PI into PI
2.384 * [taylor]: Taking taylor expansion of n in n
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify (/ PI 1) into PI
2.385 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.386 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.386 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.386 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.388 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.388 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.388 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.388 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.389 * [taylor]: Taking taylor expansion of k in n
2.389 * [backup-simplify]: Simplify k into k
2.389 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.389 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.389 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.389 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.389 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.389 * [taylor]: Taking taylor expansion of 1/2 in n
2.389 * [backup-simplify]: Simplify 1/2 into 1/2
2.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.389 * [taylor]: Taking taylor expansion of 1/2 in n
2.389 * [backup-simplify]: Simplify 1/2 into 1/2
2.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.389 * [taylor]: Taking taylor expansion of k in n
2.389 * [backup-simplify]: Simplify k into k
2.389 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.389 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.389 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.389 * [taylor]: Taking taylor expansion of 2 in n
2.389 * [backup-simplify]: Simplify 2 into 2
2.389 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.389 * [taylor]: Taking taylor expansion of PI in n
2.389 * [backup-simplify]: Simplify PI into PI
2.389 * [taylor]: Taking taylor expansion of n in n
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify (/ PI 1) into PI
2.390 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.390 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.390 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.390 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.390 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.391 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.392 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.393 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.394 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.394 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.394 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.394 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.394 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.394 * [taylor]: Taking taylor expansion of 1/2 in k
2.394 * [backup-simplify]: Simplify 1/2 into 1/2
2.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.394 * [taylor]: Taking taylor expansion of 1/2 in k
2.394 * [backup-simplify]: Simplify 1/2 into 1/2
2.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.394 * [taylor]: Taking taylor expansion of k in k
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 1 into 1
2.394 * [backup-simplify]: Simplify (/ 1 1) into 1
2.394 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.394 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.394 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.394 * [taylor]: Taking taylor expansion of 2 in k
2.394 * [backup-simplify]: Simplify 2 into 2
2.394 * [taylor]: Taking taylor expansion of PI in k
2.394 * [backup-simplify]: Simplify PI into PI
2.395 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.395 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.395 * [taylor]: Taking taylor expansion of (log n) in k
2.395 * [taylor]: Taking taylor expansion of n in k
2.395 * [backup-simplify]: Simplify n into n
2.395 * [backup-simplify]: Simplify (log n) into (log n)
2.396 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.396 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.396 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.396 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.397 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.398 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.398 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.398 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.399 * [taylor]: Taking taylor expansion of k in k
2.399 * [backup-simplify]: Simplify 0 into 0
2.399 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (sqrt 0) into 0
2.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.400 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.402 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.403 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.403 * [backup-simplify]: Simplify (- 0) into 0
2.404 * [backup-simplify]: Simplify (+ 0 0) 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 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.407 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.407 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 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 (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.409 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.415 * [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
2.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.416 * [backup-simplify]: Simplify (- 0) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.419 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.422 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.424 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.424 * [taylor]: Taking taylor expansion of 0 in k
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.429 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.431 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.439 * [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
2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.441 * [backup-simplify]: Simplify (- 0) into 0
2.441 * [backup-simplify]: Simplify (+ 0 0) into 0
2.442 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.444 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.447 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
2.448 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.450 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.450 * [taylor]: Taking taylor expansion of 0 in k
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.456 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.457 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.465 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.465 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.466 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.466 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.466 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.466 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.466 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.466 * [taylor]: Taking taylor expansion of 1/2 in k
2.466 * [backup-simplify]: Simplify 1/2 into 1/2
2.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.466 * [taylor]: Taking taylor expansion of k in k
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify 1 into 1
2.466 * [backup-simplify]: Simplify (/ 1 1) into 1
2.466 * [taylor]: Taking taylor expansion of 1/2 in k
2.466 * [backup-simplify]: Simplify 1/2 into 1/2
2.466 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.466 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.466 * [taylor]: Taking taylor expansion of -2 in k
2.466 * [backup-simplify]: Simplify -2 into -2
2.466 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.466 * [taylor]: Taking taylor expansion of PI in k
2.467 * [backup-simplify]: Simplify PI into PI
2.467 * [taylor]: Taking taylor expansion of n in k
2.467 * [backup-simplify]: Simplify n into n
2.467 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.467 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.467 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.467 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.468 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.468 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.468 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.468 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.468 * [taylor]: Taking taylor expansion of -1 in k
2.468 * [backup-simplify]: Simplify -1 into -1
2.468 * [taylor]: Taking taylor expansion of k in k
2.468 * [backup-simplify]: Simplify 0 into 0
2.468 * [backup-simplify]: Simplify 1 into 1
2.469 * [backup-simplify]: Simplify (/ -1 1) into -1
2.469 * [backup-simplify]: Simplify (sqrt 0) into 0
2.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.471 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.471 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.471 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.471 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.471 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.471 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.471 * [taylor]: Taking taylor expansion of 1/2 in n
2.471 * [backup-simplify]: Simplify 1/2 into 1/2
2.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.471 * [taylor]: Taking taylor expansion of k in n
2.471 * [backup-simplify]: Simplify k into k
2.471 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.471 * [taylor]: Taking taylor expansion of 1/2 in n
2.471 * [backup-simplify]: Simplify 1/2 into 1/2
2.471 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.471 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.471 * [taylor]: Taking taylor expansion of -2 in n
2.471 * [backup-simplify]: Simplify -2 into -2
2.471 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.471 * [taylor]: Taking taylor expansion of PI in n
2.471 * [backup-simplify]: Simplify PI into PI
2.471 * [taylor]: Taking taylor expansion of n in n
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (/ PI 1) into PI
2.473 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.474 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.474 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.474 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.475 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.476 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.477 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.477 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.478 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.478 * [taylor]: Taking taylor expansion of -1 in n
2.478 * [backup-simplify]: Simplify -1 into -1
2.478 * [taylor]: Taking taylor expansion of k in n
2.478 * [backup-simplify]: Simplify k into k
2.478 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.478 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.478 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.479 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.479 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.479 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.479 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.479 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.479 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.479 * [taylor]: Taking taylor expansion of 1/2 in n
2.479 * [backup-simplify]: Simplify 1/2 into 1/2
2.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.479 * [taylor]: Taking taylor expansion of k in n
2.479 * [backup-simplify]: Simplify k into k
2.480 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.480 * [taylor]: Taking taylor expansion of 1/2 in n
2.480 * [backup-simplify]: Simplify 1/2 into 1/2
2.480 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.480 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.480 * [taylor]: Taking taylor expansion of -2 in n
2.480 * [backup-simplify]: Simplify -2 into -2
2.480 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.480 * [taylor]: Taking taylor expansion of PI in n
2.480 * [backup-simplify]: Simplify PI into PI
2.480 * [taylor]: Taking taylor expansion of n in n
2.480 * [backup-simplify]: Simplify 0 into 0
2.480 * [backup-simplify]: Simplify 1 into 1
2.480 * [backup-simplify]: Simplify (/ PI 1) into PI
2.481 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.482 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.482 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.482 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.483 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.484 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.484 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.484 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.484 * [taylor]: Taking taylor expansion of -1 in n
2.484 * [backup-simplify]: Simplify -1 into -1
2.484 * [taylor]: Taking taylor expansion of k in n
2.485 * [backup-simplify]: Simplify k into k
2.485 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.485 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.485 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.485 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.486 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.486 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.486 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.486 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.486 * [taylor]: Taking taylor expansion of 1/2 in k
2.486 * [backup-simplify]: Simplify 1/2 into 1/2
2.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.486 * [taylor]: Taking taylor expansion of k in k
2.486 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify 1 into 1
2.486 * [backup-simplify]: Simplify (/ 1 1) into 1
2.486 * [taylor]: Taking taylor expansion of 1/2 in k
2.486 * [backup-simplify]: Simplify 1/2 into 1/2
2.486 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.486 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.486 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.486 * [taylor]: Taking taylor expansion of -2 in k
2.486 * [backup-simplify]: Simplify -2 into -2
2.486 * [taylor]: Taking taylor expansion of PI in k
2.486 * [backup-simplify]: Simplify PI into PI
2.486 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.487 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.487 * [taylor]: Taking taylor expansion of (log n) in k
2.487 * [taylor]: Taking taylor expansion of n in k
2.487 * [backup-simplify]: Simplify n into n
2.487 * [backup-simplify]: Simplify (log n) into (log n)
2.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.488 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.488 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.488 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.489 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.490 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.490 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.490 * [taylor]: Taking taylor expansion of -1 in k
2.490 * [backup-simplify]: Simplify -1 into -1
2.490 * [taylor]: Taking taylor expansion of k in k
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (/ -1 1) into -1
2.491 * [backup-simplify]: Simplify (sqrt 0) into 0
2.491 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.492 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.493 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.497 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.497 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.499 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.499 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.500 * [taylor]: Taking taylor expansion of 0 in k
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.502 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.503 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.504 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.506 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.508 * [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
2.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.509 * [backup-simplify]: Simplify (+ 0 0) into 0
2.510 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.511 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.512 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.512 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.514 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.514 * [taylor]: Taking taylor expansion of 0 in k
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.522 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.524 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.528 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.528 * * * [progress]: simplifying candidates
2.528 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.528 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.529 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.529 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.529 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
2.529 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.531 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.531 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.531 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
2.531 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
2.532 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))>
2.532 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))>
2.532 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.532 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.532 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.533 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.533 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.533 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.533 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.533 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.533 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.533 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.533 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
2.533 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.533 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.533 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.534 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.534 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
2.534 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
2.534 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.534 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.534 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.534 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.534 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.534 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.534 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.534 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.534 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.535 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.535 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.535 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.535 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.535 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
2.535 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
2.535 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
2.535 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.535 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
2.535 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.535 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.535 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.536 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.536 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.536 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.536 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
2.536 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
2.539 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) 1)
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.544 * * [simplify]: iteration 1: (267 enodes)
2.634 * * [simplify]: iteration 2: (644 enodes)
3.112 * * [simplify]: Extracting #0: cost 97 inf + 0
3.113 * * [simplify]: Extracting #1: cost 372 inf + 1
3.116 * * [simplify]: Extracting #2: cost 513 inf + 18891
3.127 * * [simplify]: Extracting #3: cost 411 inf + 87524
3.147 * * [simplify]: Extracting #4: cost 283 inf + 135704
3.176 * * [simplify]: Extracting #5: cost 156 inf + 192203
3.208 * * [simplify]: Extracting #6: cost 96 inf + 227990
3.270 * * [simplify]: Extracting #7: cost 25 inf + 269385
3.367 * * [simplify]: Extracting #8: cost 0 inf + 290477
3.456 * * [simplify]: Extracting #9: cost 0 inf + 287997
3.524 * * [simplify]: Extracting #10: cost 0 inf + 287757
3.609 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* n (* (* n n) (* PI (* (* PI PI) 8))))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ k (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (sqrt k) (pow (* (* PI 2) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (+ (* -1/2 (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))) (+ (* (* (* (log n) k) (* (log n) k)) (* (sqrt (* (* PI 2) n)) 1/8)) (+ (+ (* (* (log (* PI 2)) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) 1/8) (sqrt (* (* PI 2) n))) (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* (* (log n) k) k) 1/4)))))
  (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (+ (* (* (* (sqrt (* (* PI 2) n)) (* k k)) (log n)) (* (log (* PI 2)) +nan.0)) (- (* (- +nan.0) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) (+ (+ (- (* (* k (sqrt (* (* PI 2) n))) +nan.0) (* (sqrt (* (* PI 2) n)) +nan.0)) (+ (+ (* (* (log (* PI 2)) (* (* (sqrt (* (* PI 2) n)) (* k k)) (log (* PI 2)))) +nan.0) (* (* (* (sqrt (* (* PI 2) n)) (* k k)) (log n)) (- +nan.0))) (+ (- (* (* k k) (* (sqrt (* (* PI 2) n)) +nan.0)) (* (* (* (log (* PI 2)) +nan.0) (sqrt (* (* PI 2) n))) k)) (* (* (log n) k) (* (sqrt (* (* PI 2) n)) +nan.0))))) (* (* (* (* (log n) k) (* (log n) k)) (sqrt (* (* PI 2) n))) (- +nan.0))))))
  (- (+ (- (* (/ +nan.0 (* k k)) (/ (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) k)) (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) k)) (/ (/ (* (exp (* (log (* (* PI 2) n)) (- 1/2 (* k 1/2)))) +nan.0) k) k)))
  (- (- (/ +nan.0 (/ k (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))))) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2)))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (- 1/2 (* k 1/2))))))))
3.621 * * * [progress]: adding candidates to table
4.976 * * [progress]: iteration 2 / 4
4.976 * * * [progress]: picking best candidate
5.012 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
5.012 * * * [progress]: localizing error
5.066 * * * [progress]: generating rewritten candidates
5.066 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
5.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
5.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
5.116 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
5.153 * * * [progress]: generating series expansions
5.153 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
5.155 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
5.155 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
5.155 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.155 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.155 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.155 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.155 * [taylor]: Taking taylor expansion of 1/2 in k
5.155 * [backup-simplify]: Simplify 1/2 into 1/2
5.155 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.155 * [taylor]: Taking taylor expansion of 1/2 in k
5.155 * [backup-simplify]: Simplify 1/2 into 1/2
5.155 * [taylor]: Taking taylor expansion of k in k
5.155 * [backup-simplify]: Simplify 0 into 0
5.155 * [backup-simplify]: Simplify 1 into 1
5.155 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.155 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.155 * [taylor]: Taking taylor expansion of 2 in k
5.155 * [backup-simplify]: Simplify 2 into 2
5.155 * [taylor]: Taking taylor expansion of (* n PI) in k
5.155 * [taylor]: Taking taylor expansion of n in k
5.155 * [backup-simplify]: Simplify n into n
5.155 * [taylor]: Taking taylor expansion of PI in k
5.155 * [backup-simplify]: Simplify PI into PI
5.155 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.155 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.155 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.156 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.157 * [backup-simplify]: Simplify (- 0) into 0
5.157 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.157 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.157 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.157 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.157 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.157 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.157 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.157 * [taylor]: Taking taylor expansion of 1/2 in n
5.157 * [backup-simplify]: Simplify 1/2 into 1/2
5.157 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.157 * [taylor]: Taking taylor expansion of 1/2 in n
5.157 * [backup-simplify]: Simplify 1/2 into 1/2
5.157 * [taylor]: Taking taylor expansion of k in n
5.157 * [backup-simplify]: Simplify k into k
5.157 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.157 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.158 * [taylor]: Taking taylor expansion of 2 in n
5.158 * [backup-simplify]: Simplify 2 into 2
5.158 * [taylor]: Taking taylor expansion of (* n PI) in n
5.158 * [taylor]: Taking taylor expansion of n in n
5.158 * [backup-simplify]: Simplify 0 into 0
5.158 * [backup-simplify]: Simplify 1 into 1
5.158 * [taylor]: Taking taylor expansion of PI in n
5.158 * [backup-simplify]: Simplify PI into PI
5.158 * [backup-simplify]: Simplify (* 0 PI) into 0
5.159 * [backup-simplify]: Simplify (* 2 0) into 0
5.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.162 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.163 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.163 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.163 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.163 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.164 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.166 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.167 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.167 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.167 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.167 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.167 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.167 * [taylor]: Taking taylor expansion of 1/2 in n
5.167 * [backup-simplify]: Simplify 1/2 into 1/2
5.167 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.167 * [taylor]: Taking taylor expansion of 1/2 in n
5.167 * [backup-simplify]: Simplify 1/2 into 1/2
5.167 * [taylor]: Taking taylor expansion of k in n
5.167 * [backup-simplify]: Simplify k into k
5.167 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.167 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.167 * [taylor]: Taking taylor expansion of 2 in n
5.167 * [backup-simplify]: Simplify 2 into 2
5.167 * [taylor]: Taking taylor expansion of (* n PI) in n
5.167 * [taylor]: Taking taylor expansion of n in n
5.167 * [backup-simplify]: Simplify 0 into 0
5.167 * [backup-simplify]: Simplify 1 into 1
5.167 * [taylor]: Taking taylor expansion of PI in n
5.167 * [backup-simplify]: Simplify PI into PI
5.168 * [backup-simplify]: Simplify (* 0 PI) into 0
5.168 * [backup-simplify]: Simplify (* 2 0) into 0
5.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.172 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.173 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.173 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.173 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.173 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.174 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.175 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.176 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.177 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
5.177 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
5.177 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.177 * [taylor]: Taking taylor expansion of 1/2 in k
5.177 * [backup-simplify]: Simplify 1/2 into 1/2
5.177 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.177 * [taylor]: Taking taylor expansion of 1/2 in k
5.177 * [backup-simplify]: Simplify 1/2 into 1/2
5.177 * [taylor]: Taking taylor expansion of k in k
5.177 * [backup-simplify]: Simplify 0 into 0
5.177 * [backup-simplify]: Simplify 1 into 1
5.177 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
5.177 * [taylor]: Taking taylor expansion of (log n) in k
5.177 * [taylor]: Taking taylor expansion of n in k
5.177 * [backup-simplify]: Simplify n into n
5.177 * [backup-simplify]: Simplify (log n) into (log n)
5.177 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.177 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.177 * [taylor]: Taking taylor expansion of 2 in k
5.177 * [backup-simplify]: Simplify 2 into 2
5.177 * [taylor]: Taking taylor expansion of PI in k
5.177 * [backup-simplify]: Simplify PI into PI
5.178 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.179 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.179 * [backup-simplify]: Simplify (- 0) into 0
5.180 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.181 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.182 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
5.183 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.183 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
5.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.186 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.187 * [backup-simplify]: Simplify (- 0) into 0
5.187 * [backup-simplify]: Simplify (+ 0 0) into 0
5.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.189 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.190 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.190 * [taylor]: Taking taylor expansion of 0 in k
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify 0 into 0
5.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.192 * [backup-simplify]: Simplify (+ 0 0) into 0
5.192 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.193 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.193 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
5.196 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
5.198 * [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)))))))
5.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.201 * [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
5.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.202 * [backup-simplify]: Simplify (- 0) into 0
5.202 * [backup-simplify]: Simplify (+ 0 0) into 0
5.203 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.204 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.206 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.206 * [taylor]: Taking taylor expansion of 0 in k
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.206 * [backup-simplify]: Simplify 0 into 0
5.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.209 * [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
5.210 * [backup-simplify]: Simplify (+ 0 0) into 0
5.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.210 * [backup-simplify]: Simplify (- 0) into 0
5.211 * [backup-simplify]: Simplify (+ 0 0) into 0
5.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
5.215 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
5.220 * [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)))))
5.230 * [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)))))
5.231 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.231 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
5.231 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.231 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.231 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.231 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.231 * [taylor]: Taking taylor expansion of 1/2 in k
5.231 * [backup-simplify]: Simplify 1/2 into 1/2
5.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.231 * [taylor]: Taking taylor expansion of 1/2 in k
5.231 * [backup-simplify]: Simplify 1/2 into 1/2
5.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.231 * [taylor]: Taking taylor expansion of k in k
5.231 * [backup-simplify]: Simplify 0 into 0
5.231 * [backup-simplify]: Simplify 1 into 1
5.232 * [backup-simplify]: Simplify (/ 1 1) into 1
5.232 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.232 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.232 * [taylor]: Taking taylor expansion of 2 in k
5.232 * [backup-simplify]: Simplify 2 into 2
5.232 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.232 * [taylor]: Taking taylor expansion of PI in k
5.232 * [backup-simplify]: Simplify PI into PI
5.232 * [taylor]: Taking taylor expansion of n in k
5.232 * [backup-simplify]: Simplify n into n
5.232 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.232 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.232 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.233 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.234 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.234 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.234 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.234 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.234 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.234 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.234 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.234 * [taylor]: Taking taylor expansion of 1/2 in n
5.234 * [backup-simplify]: Simplify 1/2 into 1/2
5.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.234 * [taylor]: Taking taylor expansion of 1/2 in n
5.234 * [backup-simplify]: Simplify 1/2 into 1/2
5.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.234 * [taylor]: Taking taylor expansion of k in n
5.234 * [backup-simplify]: Simplify k into k
5.234 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.234 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.234 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.234 * [taylor]: Taking taylor expansion of 2 in n
5.234 * [backup-simplify]: Simplify 2 into 2
5.234 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.234 * [taylor]: Taking taylor expansion of PI in n
5.234 * [backup-simplify]: Simplify PI into PI
5.234 * [taylor]: Taking taylor expansion of n in n
5.234 * [backup-simplify]: Simplify 0 into 0
5.234 * [backup-simplify]: Simplify 1 into 1
5.235 * [backup-simplify]: Simplify (/ PI 1) into PI
5.235 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.236 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.237 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.237 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.240 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.241 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.241 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.241 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.241 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.241 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.241 * [taylor]: Taking taylor expansion of 1/2 in n
5.241 * [backup-simplify]: Simplify 1/2 into 1/2
5.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.241 * [taylor]: Taking taylor expansion of 1/2 in n
5.241 * [backup-simplify]: Simplify 1/2 into 1/2
5.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.241 * [taylor]: Taking taylor expansion of k in n
5.241 * [backup-simplify]: Simplify k into k
5.241 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.241 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.241 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.241 * [taylor]: Taking taylor expansion of 2 in n
5.241 * [backup-simplify]: Simplify 2 into 2
5.241 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.241 * [taylor]: Taking taylor expansion of PI in n
5.241 * [backup-simplify]: Simplify PI into PI
5.241 * [taylor]: Taking taylor expansion of n in n
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (/ PI 1) into PI
5.242 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.243 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.244 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.244 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.245 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.246 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.248 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.248 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
5.248 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
5.248 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.248 * [taylor]: Taking taylor expansion of 1/2 in k
5.248 * [backup-simplify]: Simplify 1/2 into 1/2
5.248 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.248 * [taylor]: Taking taylor expansion of 1/2 in k
5.248 * [backup-simplify]: Simplify 1/2 into 1/2
5.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.248 * [taylor]: Taking taylor expansion of k in k
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 1 into 1
5.248 * [backup-simplify]: Simplify (/ 1 1) into 1
5.248 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
5.248 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
5.248 * [taylor]: Taking taylor expansion of (* 2 PI) in k
5.248 * [taylor]: Taking taylor expansion of 2 in k
5.248 * [backup-simplify]: Simplify 2 into 2
5.249 * [taylor]: Taking taylor expansion of PI in k
5.249 * [backup-simplify]: Simplify PI into PI
5.249 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.250 * [taylor]: Taking taylor expansion of (log n) in k
5.250 * [taylor]: Taking taylor expansion of n in k
5.250 * [backup-simplify]: Simplify n into n
5.250 * [backup-simplify]: Simplify (log n) into (log n)
5.251 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.251 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.251 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.252 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.253 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
5.254 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
5.265 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.266 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.267 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.269 * [backup-simplify]: Simplify (- 0) into 0
5.269 * [backup-simplify]: Simplify (+ 0 0) into 0
5.270 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.271 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.272 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.272 * [taylor]: Taking taylor expansion of 0 in k
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 0 into 0
5.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.275 * [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
5.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.276 * [backup-simplify]: Simplify (- 0) into 0
5.276 * [backup-simplify]: Simplify (+ 0 0) into 0
5.277 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.278 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
5.280 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.280 * [taylor]: Taking taylor expansion of 0 in k
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify 0 into 0
5.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.281 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.284 * [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
5.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.286 * [backup-simplify]: Simplify (- 0) into 0
5.286 * [backup-simplify]: Simplify (+ 0 0) into 0
5.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.288 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
5.290 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
5.290 * [taylor]: Taking taylor expansion of 0 in k
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
5.291 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
5.291 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
5.291 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.291 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
5.291 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
5.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.291 * [taylor]: Taking taylor expansion of 1/2 in k
5.291 * [backup-simplify]: Simplify 1/2 into 1/2
5.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.291 * [taylor]: Taking taylor expansion of k in k
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [backup-simplify]: Simplify (/ 1 1) into 1
5.291 * [taylor]: Taking taylor expansion of 1/2 in k
5.292 * [backup-simplify]: Simplify 1/2 into 1/2
5.292 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.292 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.292 * [taylor]: Taking taylor expansion of -2 in k
5.292 * [backup-simplify]: Simplify -2 into -2
5.292 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.292 * [taylor]: Taking taylor expansion of PI in k
5.292 * [backup-simplify]: Simplify PI into PI
5.292 * [taylor]: Taking taylor expansion of n in k
5.292 * [backup-simplify]: Simplify n into n
5.292 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.292 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.292 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.292 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.292 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.293 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
5.293 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.293 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
5.293 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
5.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.293 * [taylor]: Taking taylor expansion of 1/2 in n
5.293 * [backup-simplify]: Simplify 1/2 into 1/2
5.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.293 * [taylor]: Taking taylor expansion of k in n
5.293 * [backup-simplify]: Simplify k into k
5.293 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.293 * [taylor]: Taking taylor expansion of 1/2 in n
5.293 * [backup-simplify]: Simplify 1/2 into 1/2
5.293 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.293 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.293 * [taylor]: Taking taylor expansion of -2 in n
5.293 * [backup-simplify]: Simplify -2 into -2
5.293 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.293 * [taylor]: Taking taylor expansion of PI in n
5.293 * [backup-simplify]: Simplify PI into PI
5.293 * [taylor]: Taking taylor expansion of n in n
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify 1 into 1
5.293 * [backup-simplify]: Simplify (/ PI 1) into PI
5.294 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.295 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.295 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.295 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.296 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.296 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.297 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.297 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.297 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
5.297 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
5.297 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.297 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.297 * [taylor]: Taking taylor expansion of 1/2 in n
5.297 * [backup-simplify]: Simplify 1/2 into 1/2
5.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.297 * [taylor]: Taking taylor expansion of k in n
5.297 * [backup-simplify]: Simplify k into k
5.297 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.297 * [taylor]: Taking taylor expansion of 1/2 in n
5.297 * [backup-simplify]: Simplify 1/2 into 1/2
5.297 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.297 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.297 * [taylor]: Taking taylor expansion of -2 in n
5.297 * [backup-simplify]: Simplify -2 into -2
5.297 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.297 * [taylor]: Taking taylor expansion of PI in n
5.297 * [backup-simplify]: Simplify PI into PI
5.297 * [taylor]: Taking taylor expansion of n in n
5.297 * [backup-simplify]: Simplify 0 into 0
5.297 * [backup-simplify]: Simplify 1 into 1
5.298 * [backup-simplify]: Simplify (/ PI 1) into PI
5.298 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.299 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.299 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.300 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.302 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.303 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.303 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
5.303 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
5.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.303 * [taylor]: Taking taylor expansion of 1/2 in k
5.303 * [backup-simplify]: Simplify 1/2 into 1/2
5.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.303 * [taylor]: Taking taylor expansion of k in k
5.304 * [backup-simplify]: Simplify 0 into 0
5.304 * [backup-simplify]: Simplify 1 into 1
5.304 * [backup-simplify]: Simplify (/ 1 1) into 1
5.304 * [taylor]: Taking taylor expansion of 1/2 in k
5.304 * [backup-simplify]: Simplify 1/2 into 1/2
5.304 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
5.304 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
5.304 * [taylor]: Taking taylor expansion of (* -2 PI) in k
5.304 * [taylor]: Taking taylor expansion of -2 in k
5.304 * [backup-simplify]: Simplify -2 into -2
5.304 * [taylor]: Taking taylor expansion of PI in k
5.304 * [backup-simplify]: Simplify PI into PI
5.305 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.306 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.306 * [taylor]: Taking taylor expansion of (log n) in k
5.306 * [taylor]: Taking taylor expansion of n in k
5.306 * [backup-simplify]: Simplify n into n
5.306 * [backup-simplify]: Simplify (log n) into (log n)
5.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.306 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.306 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.307 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
5.308 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
5.309 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.309 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.311 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.312 * [backup-simplify]: Simplify (+ 0 0) into 0
5.313 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.314 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
5.315 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.315 * [taylor]: Taking taylor expansion of 0 in k
5.315 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify 0 into 0
5.315 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.317 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.319 * [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
5.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.320 * [backup-simplify]: Simplify (+ 0 0) into 0
5.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.322 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
5.323 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.323 * [taylor]: Taking taylor expansion of 0 in k
5.323 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.329 * [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
5.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.330 * [backup-simplify]: Simplify (+ 0 0) into 0
5.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.332 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
5.334 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.334 * [taylor]: Taking taylor expansion of 0 in k
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.336 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
5.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
5.336 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
5.336 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
5.336 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.336 * [taylor]: Taking taylor expansion of 2 in n
5.336 * [backup-simplify]: Simplify 2 into 2
5.337 * [taylor]: Taking taylor expansion of (* n PI) in n
5.337 * [taylor]: Taking taylor expansion of n in n
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify 1 into 1
5.337 * [taylor]: Taking taylor expansion of PI in n
5.337 * [backup-simplify]: Simplify PI into PI
5.337 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.337 * [taylor]: Taking taylor expansion of 2 in n
5.337 * [backup-simplify]: Simplify 2 into 2
5.337 * [taylor]: Taking taylor expansion of (* n PI) in n
5.337 * [taylor]: Taking taylor expansion of n in n
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify 1 into 1
5.337 * [taylor]: Taking taylor expansion of PI in n
5.337 * [backup-simplify]: Simplify PI into PI
5.337 * [backup-simplify]: Simplify (* 0 PI) into 0
5.338 * [backup-simplify]: Simplify (* 2 0) into 0
5.338 * [backup-simplify]: Simplify 0 into 0
5.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.341 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.342 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.344 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.344 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
5.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
5.347 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.349 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
5.349 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
5.353 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
5.357 * [backup-simplify]: Simplify 0 into 0
5.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
5.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
5.361 * [backup-simplify]: Simplify 0 into 0
5.361 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
5.362 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
5.362 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
5.362 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.362 * [taylor]: Taking taylor expansion of 2 in n
5.362 * [backup-simplify]: Simplify 2 into 2
5.362 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.362 * [taylor]: Taking taylor expansion of PI in n
5.362 * [backup-simplify]: Simplify PI into PI
5.362 * [taylor]: Taking taylor expansion of n in n
5.362 * [backup-simplify]: Simplify 0 into 0
5.362 * [backup-simplify]: Simplify 1 into 1
5.363 * [backup-simplify]: Simplify (/ PI 1) into PI
5.363 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.363 * [taylor]: Taking taylor expansion of 2 in n
5.363 * [backup-simplify]: Simplify 2 into 2
5.363 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.363 * [taylor]: Taking taylor expansion of PI in n
5.363 * [backup-simplify]: Simplify PI into PI
5.363 * [taylor]: Taking taylor expansion of n in n
5.363 * [backup-simplify]: Simplify 0 into 0
5.363 * [backup-simplify]: Simplify 1 into 1
5.363 * [backup-simplify]: Simplify (/ PI 1) into PI
5.364 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.365 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.367 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.367 * [backup-simplify]: Simplify 0 into 0
5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.369 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
5.369 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.371 * [backup-simplify]: Simplify 0 into 0
5.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.374 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.374 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.384 * [backup-simplify]: Simplify 0 into 0
5.385 * [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
5.387 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
5.388 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
5.388 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
5.388 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.388 * [taylor]: Taking taylor expansion of -2 in n
5.388 * [backup-simplify]: Simplify -2 into -2
5.388 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.388 * [taylor]: Taking taylor expansion of PI in n
5.388 * [backup-simplify]: Simplify PI into PI
5.388 * [taylor]: Taking taylor expansion of n in n
5.388 * [backup-simplify]: Simplify 0 into 0
5.388 * [backup-simplify]: Simplify 1 into 1
5.389 * [backup-simplify]: Simplify (/ PI 1) into PI
5.389 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.389 * [taylor]: Taking taylor expansion of -2 in n
5.389 * [backup-simplify]: Simplify -2 into -2
5.389 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.389 * [taylor]: Taking taylor expansion of PI in n
5.389 * [backup-simplify]: Simplify PI into PI
5.389 * [taylor]: Taking taylor expansion of n in n
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify 1 into 1
5.390 * [backup-simplify]: Simplify (/ PI 1) into PI
5.390 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.391 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.393 * [backup-simplify]: Simplify 0 into 0
5.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.395 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
5.395 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.398 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.398 * [backup-simplify]: Simplify 0 into 0
5.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.400 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
5.401 * [backup-simplify]: Simplify 0 into 0
5.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.403 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
5.403 * [backup-simplify]: Simplify 0 into 0
5.405 * [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
5.406 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
5.407 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
5.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
5.408 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
5.408 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
5.408 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
5.408 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
5.408 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.408 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.408 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.408 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.408 * [taylor]: Taking taylor expansion of 1/2 in n
5.408 * [backup-simplify]: Simplify 1/2 into 1/2
5.408 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.408 * [taylor]: Taking taylor expansion of 1/2 in n
5.408 * [backup-simplify]: Simplify 1/2 into 1/2
5.408 * [taylor]: Taking taylor expansion of k in n
5.408 * [backup-simplify]: Simplify k into k
5.409 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.409 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.409 * [taylor]: Taking taylor expansion of 2 in n
5.409 * [backup-simplify]: Simplify 2 into 2
5.409 * [taylor]: Taking taylor expansion of (* n PI) in n
5.409 * [taylor]: Taking taylor expansion of n in n
5.409 * [backup-simplify]: Simplify 0 into 0
5.409 * [backup-simplify]: Simplify 1 into 1
5.409 * [taylor]: Taking taylor expansion of PI in n
5.409 * [backup-simplify]: Simplify PI into PI
5.409 * [backup-simplify]: Simplify (* 0 PI) into 0
5.410 * [backup-simplify]: Simplify (* 2 0) into 0
5.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.415 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.415 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.415 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.416 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.418 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.419 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.420 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
5.420 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.420 * [taylor]: Taking taylor expansion of k in n
5.420 * [backup-simplify]: Simplify k into k
5.420 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.420 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
5.420 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
5.421 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.421 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.421 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.421 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.421 * [taylor]: Taking taylor expansion of 1/2 in k
5.421 * [backup-simplify]: Simplify 1/2 into 1/2
5.421 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.421 * [taylor]: Taking taylor expansion of 1/2 in k
5.421 * [backup-simplify]: Simplify 1/2 into 1/2
5.421 * [taylor]: Taking taylor expansion of k in k
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 1 into 1
5.421 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.421 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.421 * [taylor]: Taking taylor expansion of 2 in k
5.421 * [backup-simplify]: Simplify 2 into 2
5.421 * [taylor]: Taking taylor expansion of (* n PI) in k
5.421 * [taylor]: Taking taylor expansion of n in k
5.421 * [backup-simplify]: Simplify n into n
5.421 * [taylor]: Taking taylor expansion of PI in k
5.421 * [backup-simplify]: Simplify PI into PI
5.421 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.421 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.421 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.422 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.422 * [backup-simplify]: Simplify (- 0) into 0
5.423 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.423 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.423 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.423 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
5.423 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.423 * [taylor]: Taking taylor expansion of k in k
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (sqrt 0) into 0
5.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.426 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
5.426 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
5.426 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.426 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.426 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.426 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.426 * [taylor]: Taking taylor expansion of 1/2 in k
5.426 * [backup-simplify]: Simplify 1/2 into 1/2
5.426 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.426 * [taylor]: Taking taylor expansion of 1/2 in k
5.426 * [backup-simplify]: Simplify 1/2 into 1/2
5.426 * [taylor]: Taking taylor expansion of k in k
5.426 * [backup-simplify]: Simplify 0 into 0
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.426 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.426 * [taylor]: Taking taylor expansion of 2 in k
5.426 * [backup-simplify]: Simplify 2 into 2
5.426 * [taylor]: Taking taylor expansion of (* n PI) in k
5.426 * [taylor]: Taking taylor expansion of n in k
5.426 * [backup-simplify]: Simplify n into n
5.426 * [taylor]: Taking taylor expansion of PI in k
5.426 * [backup-simplify]: Simplify PI into PI
5.427 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.427 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.427 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.427 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.428 * [backup-simplify]: Simplify (- 0) into 0
5.428 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.428 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.429 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.429 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
5.429 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.429 * [taylor]: Taking taylor expansion of k in k
5.429 * [backup-simplify]: Simplify 0 into 0
5.429 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (sqrt 0) into 0
5.431 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.431 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
5.431 * [taylor]: Taking taylor expansion of 0 in n
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 0 into 0
5.432 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.432 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.434 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.434 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.434 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.435 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
5.436 * [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)))))
5.438 * [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))))
5.438 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
5.438 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
5.438 * [taylor]: Taking taylor expansion of +nan.0 in n
5.438 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
5.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.438 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.438 * [taylor]: Taking taylor expansion of (* n PI) in n
5.438 * [taylor]: Taking taylor expansion of n in n
5.438 * [backup-simplify]: Simplify 0 into 0
5.438 * [backup-simplify]: Simplify 1 into 1
5.438 * [taylor]: Taking taylor expansion of PI in n
5.438 * [backup-simplify]: Simplify PI into PI
5.439 * [backup-simplify]: Simplify (* 0 PI) into 0
5.441 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.441 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.442 * [backup-simplify]: Simplify (sqrt 0) into 0
5.444 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.444 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.444 * [taylor]: Taking taylor expansion of 1/2 in n
5.444 * [backup-simplify]: Simplify 1/2 into 1/2
5.444 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.448 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.449 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
5.454 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.458 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.461 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.461 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.466 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
5.468 * [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
5.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) 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) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
5.472 * [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)))
5.475 * [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))))))
5.481 * [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))))))
5.481 * [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
5.481 * [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
5.481 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
5.482 * [taylor]: Taking taylor expansion of +nan.0 in n
5.482 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.482 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
5.482 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
5.482 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.482 * [taylor]: Taking taylor expansion of 2 in n
5.482 * [backup-simplify]: Simplify 2 into 2
5.482 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.483 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
5.483 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.483 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.483 * [taylor]: Taking taylor expansion of 2 in n
5.483 * [backup-simplify]: Simplify 2 into 2
5.483 * [taylor]: Taking taylor expansion of (* n PI) in n
5.483 * [taylor]: Taking taylor expansion of n in n
5.483 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify 1 into 1
5.483 * [taylor]: Taking taylor expansion of PI in n
5.483 * [backup-simplify]: Simplify PI into PI
5.484 * [backup-simplify]: Simplify (* 0 PI) into 0
5.484 * [backup-simplify]: Simplify (* 2 0) into 0
5.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.487 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.488 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.488 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
5.488 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.489 * [taylor]: Taking taylor expansion of 1/2 in n
5.489 * [backup-simplify]: Simplify 1/2 into 1/2
5.489 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.490 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.490 * [taylor]: Taking taylor expansion of (* n PI) in n
5.490 * [taylor]: Taking taylor expansion of n in n
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [taylor]: Taking taylor expansion of PI in n
5.490 * [backup-simplify]: Simplify PI into PI
5.490 * [backup-simplify]: Simplify (* 0 PI) into 0
5.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.493 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.493 * [backup-simplify]: Simplify (sqrt 0) into 0
5.495 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
5.495 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
5.495 * [taylor]: Taking taylor expansion of +nan.0 in n
5.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.495 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
5.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
5.495 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
5.495 * [taylor]: Taking taylor expansion of (* n PI) in n
5.495 * [taylor]: Taking taylor expansion of n in n
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 1 into 1
5.496 * [taylor]: Taking taylor expansion of PI in n
5.496 * [backup-simplify]: Simplify PI into PI
5.496 * [backup-simplify]: Simplify (* 0 PI) into 0
5.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.498 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
5.499 * [backup-simplify]: Simplify (sqrt 0) into 0
5.501 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
5.501 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
5.501 * [taylor]: Taking taylor expansion of 1/2 in n
5.501 * [backup-simplify]: Simplify 1/2 into 1/2
5.501 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
5.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
5.504 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.505 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
5.507 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
5.510 * [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)))))
5.511 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.511 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
5.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.513 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.515 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
5.517 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
5.519 * [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)))))
5.520 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
5.534 * [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)))))
5.537 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.538 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
5.544 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.548 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
5.564 * [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)))))))
5.586 * [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)))))))
5.608 * [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)))))))
5.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
5.611 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
5.617 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
5.626 * [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))))
5.636 * [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))))
5.642 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.646 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
5.665 * [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)))))))))))
5.666 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
5.666 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
5.666 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
5.666 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.666 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.666 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.666 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.666 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.666 * [taylor]: Taking taylor expansion of 1/2 in n
5.666 * [backup-simplify]: Simplify 1/2 into 1/2
5.666 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.666 * [taylor]: Taking taylor expansion of 1/2 in n
5.666 * [backup-simplify]: Simplify 1/2 into 1/2
5.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.666 * [taylor]: Taking taylor expansion of k in n
5.666 * [backup-simplify]: Simplify k into k
5.666 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.666 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.666 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.666 * [taylor]: Taking taylor expansion of 2 in n
5.666 * [backup-simplify]: Simplify 2 into 2
5.666 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.666 * [taylor]: Taking taylor expansion of PI in n
5.667 * [backup-simplify]: Simplify PI into PI
5.667 * [taylor]: Taking taylor expansion of n in n
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (/ PI 1) into PI
5.673 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.674 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.674 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.674 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.674 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.676 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.677 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.677 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.677 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.677 * [taylor]: Taking taylor expansion of k in n
5.677 * [backup-simplify]: Simplify k into k
5.677 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.678 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.678 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
5.678 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
5.678 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.678 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.678 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.678 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.678 * [taylor]: Taking taylor expansion of 1/2 in k
5.678 * [backup-simplify]: Simplify 1/2 into 1/2
5.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.678 * [taylor]: Taking taylor expansion of 1/2 in k
5.678 * [backup-simplify]: Simplify 1/2 into 1/2
5.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.678 * [taylor]: Taking taylor expansion of k in k
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 1 into 1
5.678 * [backup-simplify]: Simplify (/ 1 1) into 1
5.678 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.678 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.678 * [taylor]: Taking taylor expansion of 2 in k
5.678 * [backup-simplify]: Simplify 2 into 2
5.678 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.678 * [taylor]: Taking taylor expansion of PI in k
5.678 * [backup-simplify]: Simplify PI into PI
5.678 * [taylor]: Taking taylor expansion of n in k
5.678 * [backup-simplify]: Simplify n into n
5.678 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.678 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.678 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.679 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.679 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.679 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.679 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.679 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.680 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
5.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.680 * [taylor]: Taking taylor expansion of k in k
5.680 * [backup-simplify]: Simplify 0 into 0
5.680 * [backup-simplify]: Simplify 1 into 1
5.680 * [backup-simplify]: Simplify (/ 1 1) into 1
5.680 * [backup-simplify]: Simplify (sqrt 0) into 0
5.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.681 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
5.681 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
5.681 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.681 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
5.681 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
5.681 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.681 * [taylor]: Taking taylor expansion of 1/2 in k
5.681 * [backup-simplify]: Simplify 1/2 into 1/2
5.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.681 * [taylor]: Taking taylor expansion of 1/2 in k
5.681 * [backup-simplify]: Simplify 1/2 into 1/2
5.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.681 * [taylor]: Taking taylor expansion of k in k
5.681 * [backup-simplify]: Simplify 0 into 0
5.681 * [backup-simplify]: Simplify 1 into 1
5.682 * [backup-simplify]: Simplify (/ 1 1) into 1
5.682 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
5.682 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
5.682 * [taylor]: Taking taylor expansion of 2 in k
5.682 * [backup-simplify]: Simplify 2 into 2
5.682 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.682 * [taylor]: Taking taylor expansion of PI in k
5.682 * [backup-simplify]: Simplify PI into PI
5.682 * [taylor]: Taking taylor expansion of n in k
5.682 * [backup-simplify]: Simplify n into n
5.682 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.682 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
5.682 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
5.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.683 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.683 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.683 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
5.683 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
5.683 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
5.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.683 * [taylor]: Taking taylor expansion of k in k
5.683 * [backup-simplify]: Simplify 0 into 0
5.683 * [backup-simplify]: Simplify 1 into 1
5.683 * [backup-simplify]: Simplify (/ 1 1) into 1
5.684 * [backup-simplify]: Simplify (sqrt 0) into 0
5.685 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.685 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
5.685 * [taylor]: Taking taylor expansion of 0 in n
5.685 * [backup-simplify]: Simplify 0 into 0
5.685 * [backup-simplify]: Simplify 0 into 0
5.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
5.685 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
5.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
5.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
5.686 * [taylor]: Taking taylor expansion of +nan.0 in n
5.686 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.686 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.686 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.686 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.686 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.686 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.686 * [taylor]: Taking taylor expansion of 1/2 in n
5.686 * [backup-simplify]: Simplify 1/2 into 1/2
5.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.686 * [taylor]: Taking taylor expansion of 1/2 in n
5.686 * [backup-simplify]: Simplify 1/2 into 1/2
5.686 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.686 * [taylor]: Taking taylor expansion of k in n
5.686 * [backup-simplify]: Simplify k into k
5.686 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.686 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.686 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.687 * [taylor]: Taking taylor expansion of 2 in n
5.687 * [backup-simplify]: Simplify 2 into 2
5.687 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.687 * [taylor]: Taking taylor expansion of PI in n
5.687 * [backup-simplify]: Simplify PI into PI
5.687 * [taylor]: Taking taylor expansion of n in n
5.687 * [backup-simplify]: Simplify 0 into 0
5.687 * [backup-simplify]: Simplify 1 into 1
5.687 * [backup-simplify]: Simplify (/ PI 1) into PI
5.688 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.689 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.689 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.689 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.689 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.692 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.694 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.695 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.696 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.698 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.699 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.699 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.703 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
5.704 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
5.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
5.704 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
5.704 * [taylor]: Taking taylor expansion of +nan.0 in n
5.704 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.704 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.704 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.704 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.704 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.704 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.704 * [taylor]: Taking taylor expansion of 1/2 in n
5.704 * [backup-simplify]: Simplify 1/2 into 1/2
5.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.704 * [taylor]: Taking taylor expansion of 1/2 in n
5.704 * [backup-simplify]: Simplify 1/2 into 1/2
5.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.704 * [taylor]: Taking taylor expansion of k in n
5.704 * [backup-simplify]: Simplify k into k
5.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.704 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.704 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.704 * [taylor]: Taking taylor expansion of 2 in n
5.704 * [backup-simplify]: Simplify 2 into 2
5.704 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.704 * [taylor]: Taking taylor expansion of PI in n
5.704 * [backup-simplify]: Simplify PI into PI
5.704 * [taylor]: Taking taylor expansion of n in n
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 1 into 1
5.705 * [backup-simplify]: Simplify (/ PI 1) into PI
5.705 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.706 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.706 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.706 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.706 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.707 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.708 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.709 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.710 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.711 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.711 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.712 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
5.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.714 * [backup-simplify]: Simplify (- 0) into 0
5.714 * [backup-simplify]: Simplify (+ 0 0) into 0
5.715 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.716 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
5.717 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
5.720 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
5.720 * [backup-simplify]: Simplify (- 0) into 0
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [backup-simplify]: Simplify 0 into 0
5.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
5.724 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
5.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
5.724 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
5.724 * [taylor]: Taking taylor expansion of +nan.0 in n
5.724 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.725 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.725 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.725 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
5.725 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
5.725 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.725 * [taylor]: Taking taylor expansion of 1/2 in n
5.725 * [backup-simplify]: Simplify 1/2 into 1/2
5.725 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.725 * [taylor]: Taking taylor expansion of 1/2 in n
5.725 * [backup-simplify]: Simplify 1/2 into 1/2
5.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.725 * [taylor]: Taking taylor expansion of k in n
5.725 * [backup-simplify]: Simplify k into k
5.725 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.725 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
5.725 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
5.725 * [taylor]: Taking taylor expansion of 2 in n
5.725 * [backup-simplify]: Simplify 2 into 2
5.725 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.725 * [taylor]: Taking taylor expansion of PI in n
5.725 * [backup-simplify]: Simplify PI into PI
5.725 * [taylor]: Taking taylor expansion of n in n
5.725 * [backup-simplify]: Simplify 0 into 0
5.725 * [backup-simplify]: Simplify 1 into 1
5.725 * [backup-simplify]: Simplify (/ PI 1) into PI
5.726 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
5.726 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.726 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.727 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.727 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.728 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.728 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
5.729 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
5.730 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.731 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
5.731 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.732 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
5.736 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
5.737 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
5.737 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
5.737 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.737 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.737 * [taylor]: Taking taylor expansion of -1 in n
5.737 * [backup-simplify]: Simplify -1 into -1
5.737 * [taylor]: Taking taylor expansion of k in n
5.737 * [backup-simplify]: Simplify k into k
5.737 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.737 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.737 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.737 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.737 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
5.737 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
5.737 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.738 * [taylor]: Taking taylor expansion of 1/2 in n
5.738 * [backup-simplify]: Simplify 1/2 into 1/2
5.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.738 * [taylor]: Taking taylor expansion of k in n
5.738 * [backup-simplify]: Simplify k into k
5.738 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.738 * [taylor]: Taking taylor expansion of 1/2 in n
5.738 * [backup-simplify]: Simplify 1/2 into 1/2
5.738 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.738 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.738 * [taylor]: Taking taylor expansion of -2 in n
5.738 * [backup-simplify]: Simplify -2 into -2
5.738 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.738 * [taylor]: Taking taylor expansion of PI in n
5.738 * [backup-simplify]: Simplify PI into PI
5.738 * [taylor]: Taking taylor expansion of n in n
5.738 * [backup-simplify]: Simplify 0 into 0
5.738 * [backup-simplify]: Simplify 1 into 1
5.739 * [backup-simplify]: Simplify (/ PI 1) into PI
5.739 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.740 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.741 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.741 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.742 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.744 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.745 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.747 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.747 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.747 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.747 * [taylor]: Taking taylor expansion of -1 in k
5.747 * [backup-simplify]: Simplify -1 into -1
5.747 * [taylor]: Taking taylor expansion of k in k
5.747 * [backup-simplify]: Simplify 0 into 0
5.747 * [backup-simplify]: Simplify 1 into 1
5.748 * [backup-simplify]: Simplify (/ -1 1) into -1
5.748 * [backup-simplify]: Simplify (sqrt 0) into 0
5.750 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.750 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.750 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
5.750 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
5.750 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.750 * [taylor]: Taking taylor expansion of 1/2 in k
5.750 * [backup-simplify]: Simplify 1/2 into 1/2
5.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.750 * [taylor]: Taking taylor expansion of k in k
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (/ 1 1) into 1
5.750 * [taylor]: Taking taylor expansion of 1/2 in k
5.751 * [backup-simplify]: Simplify 1/2 into 1/2
5.751 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.751 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.751 * [taylor]: Taking taylor expansion of -2 in k
5.751 * [backup-simplify]: Simplify -2 into -2
5.751 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.751 * [taylor]: Taking taylor expansion of PI in k
5.751 * [backup-simplify]: Simplify PI into PI
5.751 * [taylor]: Taking taylor expansion of n in k
5.751 * [backup-simplify]: Simplify n into n
5.751 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.751 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.751 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.752 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.752 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.752 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.752 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
5.753 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
5.753 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.753 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.753 * [taylor]: Taking taylor expansion of -1 in k
5.753 * [backup-simplify]: Simplify -1 into -1
5.753 * [taylor]: Taking taylor expansion of k in k
5.753 * [backup-simplify]: Simplify 0 into 0
5.753 * [backup-simplify]: Simplify 1 into 1
5.753 * [backup-simplify]: Simplify (/ -1 1) into -1
5.754 * [backup-simplify]: Simplify (sqrt 0) into 0
5.755 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.755 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.755 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
5.755 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
5.755 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.756 * [taylor]: Taking taylor expansion of 1/2 in k
5.756 * [backup-simplify]: Simplify 1/2 into 1/2
5.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.756 * [taylor]: Taking taylor expansion of k in k
5.756 * [backup-simplify]: Simplify 0 into 0
5.756 * [backup-simplify]: Simplify 1 into 1
5.756 * [backup-simplify]: Simplify (/ 1 1) into 1
5.756 * [taylor]: Taking taylor expansion of 1/2 in k
5.756 * [backup-simplify]: Simplify 1/2 into 1/2
5.757 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.757 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.757 * [taylor]: Taking taylor expansion of -2 in k
5.757 * [backup-simplify]: Simplify -2 into -2
5.757 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.757 * [taylor]: Taking taylor expansion of PI in k
5.757 * [backup-simplify]: Simplify PI into PI
5.757 * [taylor]: Taking taylor expansion of n in k
5.757 * [backup-simplify]: Simplify n into n
5.757 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.757 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.757 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.758 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.758 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.758 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.759 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
5.759 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
5.759 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
5.759 * [taylor]: Taking taylor expansion of +nan.0 in n
5.759 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.759 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.759 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.759 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.759 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.759 * [taylor]: Taking taylor expansion of -2 in n
5.759 * [backup-simplify]: Simplify -2 into -2
5.759 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.759 * [taylor]: Taking taylor expansion of PI in n
5.759 * [backup-simplify]: Simplify PI into PI
5.759 * [taylor]: Taking taylor expansion of n in n
5.759 * [backup-simplify]: Simplify 0 into 0
5.759 * [backup-simplify]: Simplify 1 into 1
5.760 * [backup-simplify]: Simplify (/ PI 1) into PI
5.761 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.762 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.762 * [taylor]: Taking taylor expansion of 1/2 in n
5.762 * [backup-simplify]: Simplify 1/2 into 1/2
5.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.762 * [taylor]: Taking taylor expansion of k in n
5.762 * [backup-simplify]: Simplify k into k
5.762 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.762 * [taylor]: Taking taylor expansion of 1/2 in n
5.762 * [backup-simplify]: Simplify 1/2 into 1/2
5.764 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.764 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.764 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.765 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.767 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.768 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.769 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.774 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
5.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
5.774 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
5.774 * [taylor]: Taking taylor expansion of +nan.0 in n
5.774 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.774 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
5.774 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.774 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.775 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.775 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.775 * [taylor]: Taking taylor expansion of -2 in n
5.775 * [backup-simplify]: Simplify -2 into -2
5.775 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.775 * [taylor]: Taking taylor expansion of PI in n
5.775 * [backup-simplify]: Simplify PI into PI
5.775 * [taylor]: Taking taylor expansion of n in n
5.775 * [backup-simplify]: Simplify 0 into 0
5.775 * [backup-simplify]: Simplify 1 into 1
5.775 * [backup-simplify]: Simplify (/ PI 1) into PI
5.776 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.777 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.777 * [taylor]: Taking taylor expansion of 1/2 in n
5.777 * [backup-simplify]: Simplify 1/2 into 1/2
5.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.777 * [taylor]: Taking taylor expansion of k in n
5.777 * [backup-simplify]: Simplify k into k
5.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.777 * [taylor]: Taking taylor expansion of 1/2 in n
5.777 * [backup-simplify]: Simplify 1/2 into 1/2
5.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.779 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.779 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.781 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.782 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.783 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.785 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.786 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
5.787 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
5.789 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.790 * [backup-simplify]: Simplify (+ 0 0) into 0
5.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.792 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.795 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
5.797 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.808 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
5.808 * [backup-simplify]: Simplify 0 into 0
5.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.815 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
5.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
5.815 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
5.815 * [taylor]: Taking taylor expansion of +nan.0 in n
5.815 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.815 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
5.816 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.816 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.816 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.816 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.816 * [taylor]: Taking taylor expansion of -2 in n
5.816 * [backup-simplify]: Simplify -2 into -2
5.816 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.816 * [taylor]: Taking taylor expansion of PI in n
5.816 * [backup-simplify]: Simplify PI into PI
5.816 * [taylor]: Taking taylor expansion of n in n
5.816 * [backup-simplify]: Simplify 0 into 0
5.816 * [backup-simplify]: Simplify 1 into 1
5.817 * [backup-simplify]: Simplify (/ PI 1) into PI
5.817 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.818 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.818 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.818 * [taylor]: Taking taylor expansion of 1/2 in n
5.818 * [backup-simplify]: Simplify 1/2 into 1/2
5.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.818 * [taylor]: Taking taylor expansion of k in n
5.818 * [backup-simplify]: Simplify k into k
5.819 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.819 * [taylor]: Taking taylor expansion of 1/2 in n
5.819 * [backup-simplify]: Simplify 1/2 into 1/2
5.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.820 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.820 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.822 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
5.822 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
5.823 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.824 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
5.825 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
5.826 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
5.829 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.829 * * * * [progress]: [ 4 / 4 ] generating series at (2)
5.829 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
5.829 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
5.829 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
5.829 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.829 * [taylor]: Taking taylor expansion of k in n
5.829 * [backup-simplify]: Simplify k into k
5.829 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.829 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.830 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
5.830 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
5.830 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
5.830 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.830 * [taylor]: Taking taylor expansion of 1/2 in n
5.830 * [backup-simplify]: Simplify 1/2 into 1/2
5.830 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.830 * [taylor]: Taking taylor expansion of 1/2 in n
5.830 * [backup-simplify]: Simplify 1/2 into 1/2
5.830 * [taylor]: Taking taylor expansion of k in n
5.830 * [backup-simplify]: Simplify k into k
5.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.830 * [taylor]: Taking taylor expansion of 2 in n
5.830 * [backup-simplify]: Simplify 2 into 2
5.830 * [taylor]: Taking taylor expansion of (* n PI) in n
5.830 * [taylor]: Taking taylor expansion of n in n
5.830 * [backup-simplify]: Simplify 0 into 0
5.830 * [backup-simplify]: Simplify 1 into 1
5.830 * [taylor]: Taking taylor expansion of PI in n
5.830 * [backup-simplify]: Simplify PI into PI
5.831 * [backup-simplify]: Simplify (* 0 PI) into 0
5.831 * [backup-simplify]: Simplify (* 2 0) into 0
5.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.833 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.834 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.834 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.834 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.834 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.835 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.835 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
5.836 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
5.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
5.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.836 * [taylor]: Taking taylor expansion of k in k
5.836 * [backup-simplify]: Simplify 0 into 0
5.836 * [backup-simplify]: Simplify 1 into 1
5.836 * [backup-simplify]: Simplify (/ 1 1) into 1
5.837 * [backup-simplify]: Simplify (sqrt 0) into 0
5.838 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.838 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.838 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.838 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.838 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.838 * [taylor]: Taking taylor expansion of 1/2 in k
5.838 * [backup-simplify]: Simplify 1/2 into 1/2
5.838 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.838 * [taylor]: Taking taylor expansion of 1/2 in k
5.838 * [backup-simplify]: Simplify 1/2 into 1/2
5.838 * [taylor]: Taking taylor expansion of k in k
5.838 * [backup-simplify]: Simplify 0 into 0
5.838 * [backup-simplify]: Simplify 1 into 1
5.838 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.838 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.838 * [taylor]: Taking taylor expansion of 2 in k
5.838 * [backup-simplify]: Simplify 2 into 2
5.838 * [taylor]: Taking taylor expansion of (* n PI) in k
5.838 * [taylor]: Taking taylor expansion of n in k
5.838 * [backup-simplify]: Simplify n into n
5.838 * [taylor]: Taking taylor expansion of PI in k
5.838 * [backup-simplify]: Simplify PI into PI
5.838 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.838 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.838 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.838 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.839 * [backup-simplify]: Simplify (- 0) into 0
5.839 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.839 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.839 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.839 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
5.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.839 * [taylor]: Taking taylor expansion of k in k
5.839 * [backup-simplify]: Simplify 0 into 0
5.839 * [backup-simplify]: Simplify 1 into 1
5.839 * [backup-simplify]: Simplify (/ 1 1) into 1
5.840 * [backup-simplify]: Simplify (sqrt 0) into 0
5.840 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.840 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
5.840 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
5.840 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
5.841 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.841 * [taylor]: Taking taylor expansion of 1/2 in k
5.841 * [backup-simplify]: Simplify 1/2 into 1/2
5.841 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.841 * [taylor]: Taking taylor expansion of 1/2 in k
5.841 * [backup-simplify]: Simplify 1/2 into 1/2
5.841 * [taylor]: Taking taylor expansion of k in k
5.841 * [backup-simplify]: Simplify 0 into 0
5.841 * [backup-simplify]: Simplify 1 into 1
5.841 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
5.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
5.841 * [taylor]: Taking taylor expansion of 2 in k
5.841 * [backup-simplify]: Simplify 2 into 2
5.841 * [taylor]: Taking taylor expansion of (* n PI) in k
5.841 * [taylor]: Taking taylor expansion of n in k
5.841 * [backup-simplify]: Simplify n into n
5.841 * [taylor]: Taking taylor expansion of PI in k
5.841 * [backup-simplify]: Simplify PI into PI
5.841 * [backup-simplify]: Simplify (* n PI) into (* n PI)
5.841 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
5.841 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
5.841 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.841 * [backup-simplify]: Simplify (- 0) into 0
5.842 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.842 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
5.842 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
5.842 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
5.842 * [taylor]: Taking taylor expansion of 0 in n
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
5.843 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
5.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
5.844 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.844 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.844 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
5.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
5.845 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
5.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.845 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.845 * [taylor]: Taking taylor expansion of +nan.0 in n
5.845 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.845 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.845 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.845 * [taylor]: Taking taylor expansion of 2 in n
5.845 * [backup-simplify]: Simplify 2 into 2
5.846 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.846 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.846 * [taylor]: Taking taylor expansion of (* n PI) in n
5.846 * [taylor]: Taking taylor expansion of n in n
5.846 * [backup-simplify]: Simplify 0 into 0
5.846 * [backup-simplify]: Simplify 1 into 1
5.846 * [taylor]: Taking taylor expansion of PI in n
5.846 * [backup-simplify]: Simplify PI into PI
5.847 * [backup-simplify]: Simplify (* 0 PI) into 0
5.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.848 * [backup-simplify]: Simplify (sqrt 0) into 0
5.849 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.849 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.849 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.850 * [backup-simplify]: Simplify (- 0) into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
5.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
5.852 * [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
5.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.853 * [backup-simplify]: Simplify (- 0) into 0
5.853 * [backup-simplify]: Simplify (+ 0 0) into 0
5.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
5.854 * [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)))
5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.856 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.857 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
5.857 * [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
5.857 * [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
5.857 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.857 * [taylor]: Taking taylor expansion of +nan.0 in n
5.857 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.857 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.857 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.857 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.857 * [taylor]: Taking taylor expansion of 2 in n
5.857 * [backup-simplify]: Simplify 2 into 2
5.858 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.858 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.858 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.858 * [taylor]: Taking taylor expansion of 2 in n
5.858 * [backup-simplify]: Simplify 2 into 2
5.858 * [taylor]: Taking taylor expansion of (* n PI) in n
5.858 * [taylor]: Taking taylor expansion of n in n
5.858 * [backup-simplify]: Simplify 0 into 0
5.858 * [backup-simplify]: Simplify 1 into 1
5.858 * [taylor]: Taking taylor expansion of PI in n
5.858 * [backup-simplify]: Simplify PI into PI
5.858 * [backup-simplify]: Simplify (* 0 PI) into 0
5.859 * [backup-simplify]: Simplify (* 2 0) into 0
5.860 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.861 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.861 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.861 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.861 * [taylor]: Taking taylor expansion of (* n PI) in n
5.861 * [taylor]: Taking taylor expansion of n in n
5.861 * [backup-simplify]: Simplify 0 into 0
5.861 * [backup-simplify]: Simplify 1 into 1
5.861 * [taylor]: Taking taylor expansion of PI in n
5.861 * [backup-simplify]: Simplify PI into PI
5.862 * [backup-simplify]: Simplify (* 0 PI) into 0
5.863 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.863 * [backup-simplify]: Simplify (sqrt 0) into 0
5.864 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.864 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.864 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.864 * [taylor]: Taking taylor expansion of +nan.0 in n
5.864 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.864 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.864 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.864 * [taylor]: Taking taylor expansion of 2 in n
5.864 * [backup-simplify]: Simplify 2 into 2
5.864 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.865 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.865 * [taylor]: Taking taylor expansion of (* n PI) in n
5.865 * [taylor]: Taking taylor expansion of n in n
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 1 into 1
5.865 * [taylor]: Taking taylor expansion of PI in n
5.865 * [backup-simplify]: Simplify PI into PI
5.865 * [backup-simplify]: Simplify (* 0 PI) into 0
5.866 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.866 * [backup-simplify]: Simplify (sqrt 0) into 0
5.867 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.868 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.869 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.870 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.871 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.871 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.872 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.872 * [backup-simplify]: Simplify (- 0) into 0
5.872 * [backup-simplify]: Simplify (+ 0 0) into 0
5.873 * [backup-simplify]: Simplify (- 0) into 0
5.873 * [backup-simplify]: Simplify 0 into 0
5.876 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.881 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.885 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.888 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.888 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
5.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
5.893 * [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
5.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.894 * [backup-simplify]: Simplify (- 0) into 0
5.895 * [backup-simplify]: Simplify (+ 0 0) into 0
5.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
5.898 * [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)))
5.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.904 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
5.904 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
5.904 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
5.904 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
5.904 * [taylor]: Taking taylor expansion of +nan.0 in n
5.904 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.904 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
5.904 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
5.904 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.904 * [taylor]: Taking taylor expansion of 2 in n
5.904 * [backup-simplify]: Simplify 2 into 2
5.905 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.905 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.905 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.905 * [taylor]: Taking taylor expansion of 2 in n
5.905 * [backup-simplify]: Simplify 2 into 2
5.905 * [taylor]: Taking taylor expansion of (* n PI) in n
5.905 * [taylor]: Taking taylor expansion of n in n
5.905 * [backup-simplify]: Simplify 0 into 0
5.905 * [backup-simplify]: Simplify 1 into 1
5.905 * [taylor]: Taking taylor expansion of PI in n
5.905 * [backup-simplify]: Simplify PI into PI
5.906 * [backup-simplify]: Simplify (* 0 PI) into 0
5.906 * [backup-simplify]: Simplify (* 2 0) into 0
5.908 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.910 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.911 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.911 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.911 * [taylor]: Taking taylor expansion of (* n PI) in n
5.911 * [taylor]: Taking taylor expansion of n in n
5.911 * [backup-simplify]: Simplify 0 into 0
5.911 * [backup-simplify]: Simplify 1 into 1
5.911 * [taylor]: Taking taylor expansion of PI in n
5.911 * [backup-simplify]: Simplify PI into PI
5.911 * [backup-simplify]: Simplify (* 0 PI) into 0
5.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.913 * [backup-simplify]: Simplify (sqrt 0) into 0
5.914 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.914 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
5.914 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
5.914 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
5.914 * [taylor]: Taking taylor expansion of +nan.0 in n
5.915 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.915 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
5.915 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
5.915 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.915 * [taylor]: Taking taylor expansion of 2 in n
5.915 * [backup-simplify]: Simplify 2 into 2
5.915 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.915 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
5.915 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
5.915 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
5.915 * [taylor]: Taking taylor expansion of 2 in n
5.915 * [backup-simplify]: Simplify 2 into 2
5.915 * [taylor]: Taking taylor expansion of (* n PI) in n
5.915 * [taylor]: Taking taylor expansion of n in n
5.915 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify 1 into 1
5.915 * [taylor]: Taking taylor expansion of PI in n
5.915 * [backup-simplify]: Simplify PI into PI
5.916 * [backup-simplify]: Simplify (* 0 PI) into 0
5.916 * [backup-simplify]: Simplify (* 2 0) into 0
5.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.918 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
5.923 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
5.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.925 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.925 * [taylor]: Taking taylor expansion of (* n PI) in n
5.925 * [taylor]: Taking taylor expansion of n in n
5.925 * [backup-simplify]: Simplify 0 into 0
5.925 * [backup-simplify]: Simplify 1 into 1
5.925 * [taylor]: Taking taylor expansion of PI in n
5.925 * [backup-simplify]: Simplify PI into PI
5.925 * [backup-simplify]: Simplify (* 0 PI) into 0
5.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.926 * [backup-simplify]: Simplify (sqrt 0) into 0
5.927 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
5.927 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
5.927 * [taylor]: Taking taylor expansion of +nan.0 in n
5.927 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.927 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
5.927 * [taylor]: Taking taylor expansion of (sqrt 2) in n
5.927 * [taylor]: Taking taylor expansion of 2 in n
5.927 * [backup-simplify]: Simplify 2 into 2
5.927 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
5.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
5.928 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
5.928 * [taylor]: Taking taylor expansion of (* n PI) in n
5.928 * [taylor]: Taking taylor expansion of n in n
5.928 * [backup-simplify]: Simplify 0 into 0
5.928 * [backup-simplify]: Simplify 1 into 1
5.928 * [taylor]: Taking taylor expansion of PI in n
5.928 * [backup-simplify]: Simplify PI into PI
5.928 * [backup-simplify]: Simplify (* 0 PI) into 0
5.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
5.929 * [backup-simplify]: Simplify (sqrt 0) into 0
5.930 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
5.931 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.932 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
5.933 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
5.934 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.936 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.937 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
5.938 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
5.939 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
5.939 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.940 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
5.940 * [backup-simplify]: Simplify (* +nan.0 0) into 0
5.940 * [backup-simplify]: Simplify (- 0) into 0
5.941 * [backup-simplify]: Simplify (+ 0 0) into 0
5.941 * [backup-simplify]: Simplify (- 0) into 0
5.941 * [backup-simplify]: Simplify (+ 0 0) into 0
5.941 * [backup-simplify]: Simplify (- 0) into 0
5.941 * [backup-simplify]: Simplify 0 into 0
5.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
5.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
5.945 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
5.946 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
5.947 * [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))))))))
5.953 * [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))))))))
5.956 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.962 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
5.965 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
5.975 * [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))))))))))
5.983 * [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)))))))
5.991 * [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)))))))
5.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
5.997 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
5.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
6.003 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.012 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.017 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.020 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
6.035 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
6.036 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
6.036 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
6.036 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.036 * [taylor]: Taking taylor expansion of (sqrt k) in n
6.036 * [taylor]: Taking taylor expansion of k in n
6.036 * [backup-simplify]: Simplify k into k
6.036 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
6.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
6.036 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.036 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.037 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.037 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.037 * [taylor]: Taking taylor expansion of 1/2 in n
6.037 * [backup-simplify]: Simplify 1/2 into 1/2
6.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.037 * [taylor]: Taking taylor expansion of 1/2 in n
6.037 * [backup-simplify]: Simplify 1/2 into 1/2
6.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.037 * [taylor]: Taking taylor expansion of k in n
6.037 * [backup-simplify]: Simplify k into k
6.037 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.037 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.037 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.037 * [taylor]: Taking taylor expansion of 2 in n
6.037 * [backup-simplify]: Simplify 2 into 2
6.037 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.037 * [taylor]: Taking taylor expansion of PI in n
6.037 * [backup-simplify]: Simplify PI into PI
6.037 * [taylor]: Taking taylor expansion of n in n
6.037 * [backup-simplify]: Simplify 0 into 0
6.037 * [backup-simplify]: Simplify 1 into 1
6.038 * [backup-simplify]: Simplify (/ PI 1) into PI
6.038 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.039 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.039 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.039 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.039 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.041 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.042 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.044 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.044 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.044 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.044 * [taylor]: Taking taylor expansion of k in k
6.044 * [backup-simplify]: Simplify 0 into 0
6.044 * [backup-simplify]: Simplify 1 into 1
6.044 * [backup-simplify]: Simplify (sqrt 0) into 0
6.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.046 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.046 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.046 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.046 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.046 * [taylor]: Taking taylor expansion of 1/2 in k
6.046 * [backup-simplify]: Simplify 1/2 into 1/2
6.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.046 * [taylor]: Taking taylor expansion of 1/2 in k
6.046 * [backup-simplify]: Simplify 1/2 into 1/2
6.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.046 * [taylor]: Taking taylor expansion of k in k
6.046 * [backup-simplify]: Simplify 0 into 0
6.046 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (/ 1 1) into 1
6.046 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.046 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.046 * [taylor]: Taking taylor expansion of 2 in k
6.046 * [backup-simplify]: Simplify 2 into 2
6.047 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.047 * [taylor]: Taking taylor expansion of PI in k
6.047 * [backup-simplify]: Simplify PI into PI
6.047 * [taylor]: Taking taylor expansion of n in k
6.047 * [backup-simplify]: Simplify n into n
6.047 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.047 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.047 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.047 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.048 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.054 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.055 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.055 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.055 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.055 * [taylor]: Taking taylor expansion of (sqrt k) in k
6.055 * [taylor]: Taking taylor expansion of k in k
6.055 * [backup-simplify]: Simplify 0 into 0
6.055 * [backup-simplify]: Simplify 1 into 1
6.056 * [backup-simplify]: Simplify (sqrt 0) into 0
6.057 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.057 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.057 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
6.057 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
6.057 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.057 * [taylor]: Taking taylor expansion of 1/2 in k
6.057 * [backup-simplify]: Simplify 1/2 into 1/2
6.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.058 * [taylor]: Taking taylor expansion of 1/2 in k
6.058 * [backup-simplify]: Simplify 1/2 into 1/2
6.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.058 * [taylor]: Taking taylor expansion of k in k
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 1 into 1
6.058 * [backup-simplify]: Simplify (/ 1 1) into 1
6.058 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
6.058 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
6.058 * [taylor]: Taking taylor expansion of 2 in k
6.058 * [backup-simplify]: Simplify 2 into 2
6.058 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.058 * [taylor]: Taking taylor expansion of PI in k
6.058 * [backup-simplify]: Simplify PI into PI
6.058 * [taylor]: Taking taylor expansion of n in k
6.058 * [backup-simplify]: Simplify n into n
6.058 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.058 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
6.059 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
6.059 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.059 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.060 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.060 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
6.060 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
6.061 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
6.061 * [taylor]: Taking taylor expansion of 0 in n
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify 0 into 0
6.061 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.061 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.061 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.061 * [taylor]: Taking taylor expansion of +nan.0 in n
6.061 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.061 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.061 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.061 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.062 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.062 * [taylor]: Taking taylor expansion of 1/2 in n
6.062 * [backup-simplify]: Simplify 1/2 into 1/2
6.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.062 * [taylor]: Taking taylor expansion of 1/2 in n
6.062 * [backup-simplify]: Simplify 1/2 into 1/2
6.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.062 * [taylor]: Taking taylor expansion of k in n
6.062 * [backup-simplify]: Simplify k into k
6.062 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.062 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.062 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.062 * [taylor]: Taking taylor expansion of 2 in n
6.062 * [backup-simplify]: Simplify 2 into 2
6.062 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.062 * [taylor]: Taking taylor expansion of PI in n
6.062 * [backup-simplify]: Simplify PI into PI
6.062 * [taylor]: Taking taylor expansion of n in n
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.063 * [backup-simplify]: Simplify (/ PI 1) into PI
6.063 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.064 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.064 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.065 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.067 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.069 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.070 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.071 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.073 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.073 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.078 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.078 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.078 * [taylor]: Taking taylor expansion of +nan.0 in n
6.078 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.078 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.078 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.078 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.078 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.078 * [taylor]: Taking taylor expansion of 1/2 in n
6.078 * [backup-simplify]: Simplify 1/2 into 1/2
6.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.078 * [taylor]: Taking taylor expansion of 1/2 in n
6.078 * [backup-simplify]: Simplify 1/2 into 1/2
6.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.078 * [taylor]: Taking taylor expansion of k in n
6.078 * [backup-simplify]: Simplify k into k
6.078 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.078 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.078 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.078 * [taylor]: Taking taylor expansion of 2 in n
6.078 * [backup-simplify]: Simplify 2 into 2
6.078 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.078 * [taylor]: Taking taylor expansion of PI in n
6.078 * [backup-simplify]: Simplify PI into PI
6.078 * [taylor]: Taking taylor expansion of n in n
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 1 into 1
6.079 * [backup-simplify]: Simplify (/ PI 1) into PI
6.079 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.080 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.080 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.081 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.081 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.083 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.084 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.086 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.087 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.088 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.090 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
6.092 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
6.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.093 * [backup-simplify]: Simplify (- 0) into 0
6.094 * [backup-simplify]: Simplify (+ 0 0) into 0
6.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.096 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
6.099 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.101 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
6.101 * [backup-simplify]: Simplify (- 0) into 0
6.101 * [backup-simplify]: Simplify 0 into 0
6.101 * [backup-simplify]: Simplify 0 into 0
6.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
6.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
6.106 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.106 * [taylor]: Taking taylor expansion of +nan.0 in n
6.107 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.107 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.107 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
6.107 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
6.107 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.107 * [taylor]: Taking taylor expansion of 1/2 in n
6.107 * [backup-simplify]: Simplify 1/2 into 1/2
6.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.107 * [taylor]: Taking taylor expansion of 1/2 in n
6.107 * [backup-simplify]: Simplify 1/2 into 1/2
6.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.107 * [taylor]: Taking taylor expansion of k in n
6.107 * [backup-simplify]: Simplify k into k
6.107 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.107 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
6.107 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
6.107 * [taylor]: Taking taylor expansion of 2 in n
6.107 * [backup-simplify]: Simplify 2 into 2
6.107 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.107 * [taylor]: Taking taylor expansion of PI in n
6.107 * [backup-simplify]: Simplify PI into PI
6.107 * [taylor]: Taking taylor expansion of n in n
6.107 * [backup-simplify]: Simplify 0 into 0
6.107 * [backup-simplify]: Simplify 1 into 1
6.107 * [backup-simplify]: Simplify (/ PI 1) into PI
6.108 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
6.108 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
6.108 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.109 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.109 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.110 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
6.110 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
6.111 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
6.112 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
6.113 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.113 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
6.116 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
6.117 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
6.117 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
6.117 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
6.117 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.117 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
6.117 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
6.117 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.117 * [taylor]: Taking taylor expansion of 1/2 in n
6.117 * [backup-simplify]: Simplify 1/2 into 1/2
6.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.117 * [taylor]: Taking taylor expansion of k in n
6.117 * [backup-simplify]: Simplify k into k
6.117 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.117 * [taylor]: Taking taylor expansion of 1/2 in n
6.117 * [backup-simplify]: Simplify 1/2 into 1/2
6.117 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.117 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.117 * [taylor]: Taking taylor expansion of -2 in n
6.117 * [backup-simplify]: Simplify -2 into -2
6.117 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.117 * [taylor]: Taking taylor expansion of PI in n
6.117 * [backup-simplify]: Simplify PI into PI
6.117 * [taylor]: Taking taylor expansion of n in n
6.117 * [backup-simplify]: Simplify 0 into 0
6.117 * [backup-simplify]: Simplify 1 into 1
6.117 * [backup-simplify]: Simplify (/ PI 1) into PI
6.118 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.118 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.118 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.118 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.119 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.120 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.121 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
6.121 * [taylor]: Taking taylor expansion of (/ -1 k) in n
6.121 * [taylor]: Taking taylor expansion of -1 in n
6.121 * [backup-simplify]: Simplify -1 into -1
6.121 * [taylor]: Taking taylor expansion of k in n
6.121 * [backup-simplify]: Simplify k into k
6.121 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
6.121 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
6.121 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
6.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
6.122 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
6.122 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
6.122 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.122 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.122 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.122 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.122 * [taylor]: Taking taylor expansion of 1/2 in k
6.122 * [backup-simplify]: Simplify 1/2 into 1/2
6.122 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.122 * [taylor]: Taking taylor expansion of k in k
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (/ 1 1) into 1
6.123 * [taylor]: Taking taylor expansion of 1/2 in k
6.123 * [backup-simplify]: Simplify 1/2 into 1/2
6.123 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.123 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.123 * [taylor]: Taking taylor expansion of -2 in k
6.123 * [backup-simplify]: Simplify -2 into -2
6.123 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.123 * [taylor]: Taking taylor expansion of PI in k
6.123 * [backup-simplify]: Simplify PI into PI
6.123 * [taylor]: Taking taylor expansion of n in k
6.123 * [backup-simplify]: Simplify n into n
6.123 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.123 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.123 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.123 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.124 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.124 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.124 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.124 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.124 * [taylor]: Taking taylor expansion of -1 in k
6.124 * [backup-simplify]: Simplify -1 into -1
6.124 * [taylor]: Taking taylor expansion of k in k
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (/ -1 1) into -1
6.124 * [backup-simplify]: Simplify (sqrt 0) into 0
6.125 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.125 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.125 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
6.126 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.126 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
6.126 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
6.126 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.126 * [taylor]: Taking taylor expansion of 1/2 in k
6.126 * [backup-simplify]: Simplify 1/2 into 1/2
6.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.126 * [taylor]: Taking taylor expansion of k in k
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [backup-simplify]: Simplify (/ 1 1) into 1
6.126 * [taylor]: Taking taylor expansion of 1/2 in k
6.126 * [backup-simplify]: Simplify 1/2 into 1/2
6.126 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
6.126 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
6.126 * [taylor]: Taking taylor expansion of -2 in k
6.126 * [backup-simplify]: Simplify -2 into -2
6.126 * [taylor]: Taking taylor expansion of (/ PI n) in k
6.126 * [taylor]: Taking taylor expansion of PI in k
6.126 * [backup-simplify]: Simplify PI into PI
6.126 * [taylor]: Taking taylor expansion of n in k
6.126 * [backup-simplify]: Simplify n into n
6.126 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
6.126 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
6.126 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
6.127 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.127 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.127 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
6.127 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
6.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
6.127 * [taylor]: Taking taylor expansion of (/ -1 k) in k
6.127 * [taylor]: Taking taylor expansion of -1 in k
6.127 * [backup-simplify]: Simplify -1 into -1
6.127 * [taylor]: Taking taylor expansion of k in k
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.127 * [backup-simplify]: Simplify (/ -1 1) into -1
6.128 * [backup-simplify]: Simplify (sqrt 0) into 0
6.128 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
6.129 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
6.129 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.129 * [taylor]: Taking taylor expansion of +nan.0 in n
6.129 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.129 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.129 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.129 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.129 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.129 * [taylor]: Taking taylor expansion of -2 in n
6.129 * [backup-simplify]: Simplify -2 into -2
6.129 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.129 * [taylor]: Taking taylor expansion of PI in n
6.129 * [backup-simplify]: Simplify PI into PI
6.129 * [taylor]: Taking taylor expansion of n in n
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 1 into 1
6.129 * [backup-simplify]: Simplify (/ PI 1) into PI
6.130 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.130 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.130 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.130 * [taylor]: Taking taylor expansion of 1/2 in n
6.130 * [backup-simplify]: Simplify 1/2 into 1/2
6.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.130 * [taylor]: Taking taylor expansion of k in n
6.130 * [backup-simplify]: Simplify k into k
6.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.130 * [taylor]: Taking taylor expansion of 1/2 in n
6.130 * [backup-simplify]: Simplify 1/2 into 1/2
6.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.131 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.132 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.132 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.133 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.134 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.135 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.137 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.138 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
6.138 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.138 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.138 * [taylor]: Taking taylor expansion of +nan.0 in n
6.138 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.138 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.138 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.138 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.138 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.138 * [taylor]: Taking taylor expansion of -2 in n
6.138 * [backup-simplify]: Simplify -2 into -2
6.138 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.138 * [taylor]: Taking taylor expansion of PI in n
6.138 * [backup-simplify]: Simplify PI into PI
6.138 * [taylor]: Taking taylor expansion of n in n
6.138 * [backup-simplify]: Simplify 0 into 0
6.138 * [backup-simplify]: Simplify 1 into 1
6.139 * [backup-simplify]: Simplify (/ PI 1) into PI
6.139 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.140 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.140 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.140 * [taylor]: Taking taylor expansion of 1/2 in n
6.140 * [backup-simplify]: Simplify 1/2 into 1/2
6.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.140 * [taylor]: Taking taylor expansion of k in n
6.140 * [backup-simplify]: Simplify k into k
6.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.140 * [taylor]: Taking taylor expansion of 1/2 in n
6.140 * [backup-simplify]: Simplify 1/2 into 1/2
6.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.141 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.141 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.142 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.142 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.143 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.144 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.145 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.146 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.146 * [backup-simplify]: Simplify (+ 0 0) into 0
6.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
6.147 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
6.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
6.149 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
6.150 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.151 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
6.151 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
6.156 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
6.156 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
6.156 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
6.156 * [taylor]: Taking taylor expansion of +nan.0 in n
6.156 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.156 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.156 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.156 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
6.156 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
6.156 * [taylor]: Taking taylor expansion of -2 in n
6.156 * [backup-simplify]: Simplify -2 into -2
6.156 * [taylor]: Taking taylor expansion of (/ PI n) in n
6.156 * [taylor]: Taking taylor expansion of PI in n
6.156 * [backup-simplify]: Simplify PI into PI
6.156 * [taylor]: Taking taylor expansion of n in n
6.156 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (/ PI 1) into PI
6.157 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
6.157 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
6.157 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.157 * [taylor]: Taking taylor expansion of 1/2 in n
6.157 * [backup-simplify]: Simplify 1/2 into 1/2
6.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.157 * [taylor]: Taking taylor expansion of k in n
6.157 * [backup-simplify]: Simplify k into k
6.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.157 * [taylor]: Taking taylor expansion of 1/2 in n
6.157 * [backup-simplify]: Simplify 1/2 into 1/2
6.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
6.158 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.158 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.159 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
6.160 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
6.161 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
6.161 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.162 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
6.165 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
6.165 * * * [progress]: simplifying candidates
6.165 * * * * [progress]: [ 1 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 2 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 3 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 4 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 5 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 6 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 7 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 8 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))))))>
6.165 * * * * [progress]: [ 9 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
6.165 * * * * [progress]: [ 10 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
6.166 * * * * [progress]: [ 11 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
6.166 * * * * [progress]: [ 12 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
6.166 * * * * [progress]: [ 13 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
6.166 * * * * [progress]: [ 14 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
6.166 * * * * [progress]: [ 15 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.166 * * * * [progress]: [ 16 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.166 * * * * [progress]: [ 17 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.166 * * * * [progress]: [ 18 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1))))>
6.166 * * * * [progress]: [ 19 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 20 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 21 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 22 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 23 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 24 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.166 * * * * [progress]: [ 25 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.166 * * * * [progress]: [ 26 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.166 * * * * [progress]: [ 27 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
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6.167 * * * * [progress]: [ 54 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.167 * * * * [progress]: [ 55 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
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6.167 * * * * [progress]: [ 57 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.167 * * * * [progress]: [ 58 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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6.168 * * * * [progress]: [ 64 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
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6.171 * * * * [progress]: [ 136 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.171 * * * * [progress]: [ 137 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
6.171 * * * * [progress]: [ 138 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 139 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (- (log 1) (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 140 / 355 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 141 / 355 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 142 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 143 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* 1 1) 1) (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 144 / 355 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 145 / 355 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 146 / 355 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 147 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.171 * * * * [progress]: [ 148 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 149 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.171 * * * * [progress]: [ 150 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.171 * * * * [progress]: [ 151 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.171 * * * * [progress]: [ 152 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.171 * * * * [progress]: [ 153 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 154 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 155 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.172 * * * * [progress]: [ 156 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.172 * * * * [progress]: [ 157 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.172 * * * * [progress]: [ 158 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.172 * * * * [progress]: [ 159 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.172 * * * * [progress]: [ 160 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 161 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 162 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.172 * * * * [progress]: [ 163 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.172 * * * * [progress]: [ 164 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.172 * * * * [progress]: [ 165 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.172 * * * * [progress]: [ 166 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.172 * * * * [progress]: [ 167 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 168 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.172 * * * * [progress]: [ 169 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.172 * * * * [progress]: [ 170 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.172 * * * * [progress]: [ 171 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.172 * * * * [progress]: [ 172 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.173 * * * * [progress]: [ 173 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 174 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 175 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 176 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 177 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.173 * * * * [progress]: [ 178 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.173 * * * * [progress]: [ 179 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.173 * * * * [progress]: [ 180 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 181 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 182 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 183 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) 1)) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 184 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.173 * * * * [progress]: [ 185 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.173 * * * * [progress]: [ 186 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.173 * * * * [progress]: [ 187 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 188 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 189 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.173 * * * * [progress]: [ 190 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.173 * * * * [progress]: [ 191 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.174 * * * * [progress]: [ 192 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 193 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 194 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
6.174 * * * * [progress]: [ 195 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 196 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 197 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 198 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 199 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 200 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 201 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 202 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 203 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.174 * * * * [progress]: [ 204 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 205 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 206 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 207 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 208 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.174 * * * * [progress]: [ 209 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.174 * * * * [progress]: [ 210 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.174 * * * * [progress]: [ 211 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 212 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.174 * * * * [progress]: [ 213 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 214 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 215 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 216 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 217 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.175 * * * * [progress]: [ 218 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.175 * * * * [progress]: [ 219 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.175 * * * * [progress]: [ 220 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 221 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 222 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 223 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 224 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.175 * * * * [progress]: [ 225 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.175 * * * * [progress]: [ 226 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.175 * * * * [progress]: [ 227 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 228 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 229 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.175 * * * * [progress]: [ 230 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) 1)) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.175 * * * * [progress]: [ 231 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.175 * * * * [progress]: [ 232 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.176 * * * * [progress]: [ 233 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.176 * * * * [progress]: [ 234 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.176 * * * * [progress]: [ 235 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.176 * * * * [progress]: [ 236 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.176 * * * * [progress]: [ 237 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.176 * * * * [progress]: [ 238 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.176 * * * * [progress]: [ 239 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.176 * * * * [progress]: [ 240 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.176 * * * * [progress]: [ 241 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ k 2)))))>
6.176 * * * * [progress]: [ 242 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.176 * * * * [progress]: [ 243 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.176 * * * * [progress]: [ 244 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.176 * * * * [progress]: [ 245 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.176 * * * * [progress]: [ 246 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 247 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 248 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 249 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 250 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.177 * * * * [progress]: [ 251 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 252 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 253 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 254 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 255 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 256 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 257 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.177 * * * * [progress]: [ 258 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 259 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 260 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 261 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 262 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.177 * * * * [progress]: [ 263 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.177 * * * * [progress]: [ 264 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.177 * * * * [progress]: [ 265 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 266 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.177 * * * * [progress]: [ 267 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 268 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 269 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 270 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 271 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.178 * * * * [progress]: [ 272 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.178 * * * * [progress]: [ 273 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.178 * * * * [progress]: [ 274 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 275 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 276 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 277 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) 1)) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 278 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.178 * * * * [progress]: [ 279 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.178 * * * * [progress]: [ 280 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
6.178 * * * * [progress]: [ 281 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 282 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 283 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.178 * * * * [progress]: [ 284 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 285 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
6.178 * * * * [progress]: [ 286 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 287 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 288 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (/ k 2)))))>
6.178 * * * * [progress]: [ 289 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.178 * * * * [progress]: [ 290 / 355 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.179 * * * * [progress]: [ 291 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
6.179 * * * * [progress]: [ 292 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.179 * * * * [progress]: [ 293 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.183 * * * * [progress]: [ 294 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 295 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 296 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 297 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 298 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 299 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 300 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.184 * * * * [progress]: [ 301 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 302 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 303 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 304 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 305 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 306 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 307 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.184 * * * * [progress]: [ 308 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 309 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.184 * * * * [progress]: [ 310 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 311 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 312 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.184 * * * * [progress]: [ 313 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.184 * * * * [progress]: [ 314 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.184 * * * * [progress]: [ 315 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 316 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 317 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 318 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 319 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 320 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 321 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.185 * * * * [progress]: [ 322 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 323 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 324 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 325 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 326 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 327 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 328 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.185 * * * * [progress]: [ 329 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 330 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
6.185 * * * * [progress]: [ 331 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 332 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 333 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
6.185 * * * * [progress]: [ 334 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 335 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
6.185 * * * * [progress]: [ 336 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 337 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
6.185 * * * * [progress]: [ 338 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))) (pow (* n (* 2 PI)) (/ k 2))))>
6.185 * * * * [progress]: [ 339 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))))>
6.186 * * * * [progress]: [ 340 / 355 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))))>
6.186 * * * * [progress]: [ 341 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)))>
6.186 * * * * [progress]: [ 342 / 355 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))>
6.186 * * * * [progress]: [ 343 / 355 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
6.186 * * * * [progress]: [ 344 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
6.186 * * * * [progress]: [ 345 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
6.186 * * * * [progress]: [ 346 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
6.186 * * * * [progress]: [ 347 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.186 * * * * [progress]: [ 348 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.186 * * * * [progress]: [ 349 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
6.186 * * * * [progress]: [ 350 / 355 ] 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)))))))))))))>
6.186 * * * * [progress]: [ 351 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
6.186 * * * * [progress]: [ 352 / 355 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
6.186 * * * * [progress]: [ 353 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
6.186 * * * * [progress]: [ 354 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
6.186 * * * * [progress]: [ 355 / 355 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
6.192 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (log (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (exp (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (* (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (* (cbrt k) (cbrt k))) 1)
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt 1) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) 1)
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (/ (sqrt k) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (sqrt k) 1)
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) 1/2))
  (real->posit16 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (- 1)
  (- (- (log (sqrt k)) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k)) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k)) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
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  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (cbrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (cbrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (cbrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (pow (* n (* 2 PI)) (/ k 2)))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) 1))
  (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) 1))
  (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)
  (/ 1 (sqrt k))
  (real->posit16 (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
  (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
6.200 * * [simplify]: iteration 1: (532 enodes)
7.495 * * [simplify]: iteration 2: (1424 enodes)
12.093 * * [simplify]: Extracting #0: cost 164 inf + 0
12.095 * * [simplify]: Extracting #1: cost 765 inf + 2
12.099 * * [simplify]: Extracting #2: cost 1061 inf + 4150
12.108 * * [simplify]: Extracting #3: cost 1062 inf + 39468
12.129 * * [simplify]: Extracting #4: cost 768 inf + 149237
12.213 * * [simplify]: Extracting #5: cost 395 inf + 296582
12.297 * * [simplify]: Extracting #6: cost 88 inf + 441130
12.407 * * [simplify]: Extracting #7: cost 16 inf + 476243
12.522 * * [simplify]: Extracting #8: cost 0 inf + 485961
12.651 * * [simplify]: Extracting #9: cost 0 inf + 485441
12.781 * [simplify]: Simplified to:
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* n (* n (* (* (* (* PI PI) 8) PI) n)))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* 2 (* PI (cbrt n)))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (- (log (sqrt k)) (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))))
  (exp (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (sqrt k) k) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (- (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (* (/ (cbrt (sqrt k)) (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt k)) (cbrt (sqrt k)))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (cbrt (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k))))
  (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (fabs (cbrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (cbrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (/ (fabs (cbrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (fabs (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (fabs (cbrt k))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (fabs (cbrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (cbrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (sqrt k))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ 1 (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- k) 2)))
  (/ 1 (pow n (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* PI 2) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
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  (* (/ 1 (fabs (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (cbrt k))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (* 1 (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (cbrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (fabs (cbrt k)))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt (cbrt k))))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (* 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (pow (* (* PI 2) n) (/ (- k) 2)) (/ 1 (sqrt (sqrt k))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (* 1 (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt k))
  (pow n (- 1/2 (/ k 2)))
  (* (pow (* PI 2) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (* 1 (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (* (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (/ 1 (sqrt k)))
  1
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ 1 (sqrt k))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ 1 (pow (* (* PI 2) n) (/ k 2)))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ 1 (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* (* PI 2) n)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (* (* PI 2) n)))
  (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))
  (/ 1 (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (fabs (cbrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (fabs (cbrt k))) (pow n (- 1/2 (/ k 2))))
  (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (fabs (cbrt k)))
  (* (/ 1 (fabs (cbrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n))))
  (* (/ 1 (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))
  (* (* (/ 1 (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ 1 (sqrt (sqrt k)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (pow n (- 1/2 (/ k 2)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  1
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (sqrt (* (* PI 2) n)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ 1 (sqrt k))
  (real->posit16 (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))
  (- (+ (+ (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (* (log n) (* k k)))) (+ (* (* 1/8 (sqrt (* (* PI 2) n))) (* (log n) (* (log n) (* k k)))) (sqrt (* (* PI 2) n)))) (* (* (sqrt (* (* PI 2) n)) (* k k)) (* (* (log (* PI 2)) (log (* PI 2))) 1/8))) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (log (* PI 2)) (sqrt (* (* PI 2) n))))) 1/2))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (+ (* (* (/ (sqrt 2) PI) (* (* (log (* PI 2)) 1/2) (* k k))) (- +nan.0)) (- (* +nan.0 (* (/ (sqrt 1/2) PI) (* k k))) (- (/ (* n +nan.0) (/ PI (/ (* k (sqrt 1/2)) PI))) (* +nan.0 (- (/ (log n) (/ (/ PI (* k (* k 1/2))) (sqrt 2))) (/ (* k (sqrt 1/2)) PI))))))
  (+ (/ (- +nan.0) (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k)) (- (/ +nan.0 (* k (* k (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))))) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))))))
  (- (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) (* k k)) (- (/ (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))) k) (/ +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))))))
  (- (* (- +nan.0) (* (sqrt 2) (* k (* PI n)))) (+ (* (* (sqrt 2) +nan.0) (- (* PI n))) (- (* (* (sqrt 2) (* k (* PI n))) (* +nan.0 (log (* PI 2)))) (* (* (sqrt 2) +nan.0) (- (* (* PI n) (* (log n) k)) (* (* n PI) (* n PI)))))))
  (- (- (* (/ +nan.0 (* k k)) (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k) (/ (/ (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) k) k)))))
  (- (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (/ k +nan.0)) (* +nan.0 (- (/ (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) k) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))))))
12.832 * * * [progress]: adding candidates to table
17.239 * * [progress]: iteration 3 / 4
17.239 * * * [progress]: picking best candidate
17.276 * * * * [pick]: Picked  #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
17.277 * * * [progress]: localizing error
17.322 * * * [progress]: generating rewritten candidates
17.323 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
17.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
17.353 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
17.358 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
17.412 * * * [progress]: generating series expansions
17.412 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
17.413 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
17.413 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
17.413 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
17.413 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
17.413 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
17.413 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.413 * [taylor]: Taking taylor expansion of 1/2 in k
17.413 * [backup-simplify]: Simplify 1/2 into 1/2
17.413 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.413 * [taylor]: Taking taylor expansion of 1/2 in k
17.413 * [backup-simplify]: Simplify 1/2 into 1/2
17.413 * [taylor]: Taking taylor expansion of k in k
17.413 * [backup-simplify]: Simplify 0 into 0
17.413 * [backup-simplify]: Simplify 1 into 1
17.413 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.413 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.413 * [taylor]: Taking taylor expansion of 2 in k
17.413 * [backup-simplify]: Simplify 2 into 2
17.413 * [taylor]: Taking taylor expansion of (* n PI) in k
17.413 * [taylor]: Taking taylor expansion of n in k
17.413 * [backup-simplify]: Simplify n into n
17.413 * [taylor]: Taking taylor expansion of PI in k
17.413 * [backup-simplify]: Simplify PI into PI
17.413 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.413 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.413 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.414 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.414 * [backup-simplify]: Simplify (- 0) into 0
17.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.415 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.415 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.415 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
17.415 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
17.415 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
17.415 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.415 * [taylor]: Taking taylor expansion of 1/2 in n
17.415 * [backup-simplify]: Simplify 1/2 into 1/2
17.415 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.415 * [taylor]: Taking taylor expansion of 1/2 in n
17.415 * [backup-simplify]: Simplify 1/2 into 1/2
17.415 * [taylor]: Taking taylor expansion of k in n
17.415 * [backup-simplify]: Simplify k into k
17.415 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.415 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.415 * [taylor]: Taking taylor expansion of 2 in n
17.415 * [backup-simplify]: Simplify 2 into 2
17.415 * [taylor]: Taking taylor expansion of (* n PI) in n
17.415 * [taylor]: Taking taylor expansion of n in n
17.415 * [backup-simplify]: Simplify 0 into 0
17.415 * [backup-simplify]: Simplify 1 into 1
17.415 * [taylor]: Taking taylor expansion of PI in n
17.415 * [backup-simplify]: Simplify PI into PI
17.415 * [backup-simplify]: Simplify (* 0 PI) into 0
17.416 * [backup-simplify]: Simplify (* 2 0) into 0
17.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.418 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.419 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.419 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.419 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.419 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.420 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.422 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
17.423 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
17.423 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
17.423 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
17.423 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
17.423 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.423 * [taylor]: Taking taylor expansion of 1/2 in n
17.423 * [backup-simplify]: Simplify 1/2 into 1/2
17.423 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.423 * [taylor]: Taking taylor expansion of 1/2 in n
17.423 * [backup-simplify]: Simplify 1/2 into 1/2
17.423 * [taylor]: Taking taylor expansion of k in n
17.423 * [backup-simplify]: Simplify k into k
17.423 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.423 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.423 * [taylor]: Taking taylor expansion of 2 in n
17.423 * [backup-simplify]: Simplify 2 into 2
17.423 * [taylor]: Taking taylor expansion of (* n PI) in n
17.423 * [taylor]: Taking taylor expansion of n in n
17.423 * [backup-simplify]: Simplify 0 into 0
17.423 * [backup-simplify]: Simplify 1 into 1
17.423 * [taylor]: Taking taylor expansion of PI in n
17.423 * [backup-simplify]: Simplify PI into PI
17.424 * [backup-simplify]: Simplify (* 0 PI) into 0
17.424 * [backup-simplify]: Simplify (* 2 0) into 0
17.426 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.427 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.428 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.429 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.429 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.429 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.430 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.431 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
17.431 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
17.432 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
17.432 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
17.432 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.432 * [taylor]: Taking taylor expansion of 1/2 in k
17.432 * [backup-simplify]: Simplify 1/2 into 1/2
17.432 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.432 * [taylor]: Taking taylor expansion of 1/2 in k
17.432 * [backup-simplify]: Simplify 1/2 into 1/2
17.432 * [taylor]: Taking taylor expansion of k in k
17.432 * [backup-simplify]: Simplify 0 into 0
17.432 * [backup-simplify]: Simplify 1 into 1
17.432 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
17.432 * [taylor]: Taking taylor expansion of (log n) in k
17.432 * [taylor]: Taking taylor expansion of n in k
17.432 * [backup-simplify]: Simplify n into n
17.432 * [backup-simplify]: Simplify (log n) into (log n)
17.432 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.432 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.432 * [taylor]: Taking taylor expansion of 2 in k
17.432 * [backup-simplify]: Simplify 2 into 2
17.432 * [taylor]: Taking taylor expansion of PI in k
17.432 * [backup-simplify]: Simplify PI into PI
17.432 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.433 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.433 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.433 * [backup-simplify]: Simplify (- 0) into 0
17.434 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.434 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.435 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
17.436 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.436 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
17.437 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
17.440 * [backup-simplify]: Simplify (- 0) into 0
17.440 * [backup-simplify]: Simplify (+ 0 0) into 0
17.441 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.441 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
17.443 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
17.443 * [taylor]: Taking taylor expansion of 0 in k
17.443 * [backup-simplify]: Simplify 0 into 0
17.443 * [backup-simplify]: Simplify 0 into 0
17.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
17.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.445 * [backup-simplify]: Simplify (+ 0 0) into 0
17.446 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.446 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.446 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
17.449 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
17.451 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
17.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
17.455 * [backup-simplify]: Simplify (- 0) into 0
17.456 * [backup-simplify]: Simplify (+ 0 0) into 0
17.465 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.466 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.468 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.468 * [taylor]: Taking taylor expansion of 0 in k
17.468 * [backup-simplify]: Simplify 0 into 0
17.468 * [backup-simplify]: Simplify 0 into 0
17.468 * [backup-simplify]: Simplify 0 into 0
17.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
17.470 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.472 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.472 * [backup-simplify]: Simplify (+ 0 0) into 0
17.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.473 * [backup-simplify]: Simplify (- 0) into 0
17.473 * [backup-simplify]: Simplify (+ 0 0) into 0
17.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
17.477 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
17.480 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
17.486 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
17.486 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
17.486 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
17.486 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
17.486 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.486 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.486 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.486 * [taylor]: Taking taylor expansion of 1/2 in k
17.486 * [backup-simplify]: Simplify 1/2 into 1/2
17.486 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.487 * [taylor]: Taking taylor expansion of 1/2 in k
17.487 * [backup-simplify]: Simplify 1/2 into 1/2
17.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.487 * [taylor]: Taking taylor expansion of k in k
17.487 * [backup-simplify]: Simplify 0 into 0
17.487 * [backup-simplify]: Simplify 1 into 1
17.487 * [backup-simplify]: Simplify (/ 1 1) into 1
17.487 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.487 * [taylor]: Taking taylor expansion of 2 in k
17.487 * [backup-simplify]: Simplify 2 into 2
17.487 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.487 * [taylor]: Taking taylor expansion of PI in k
17.487 * [backup-simplify]: Simplify PI into PI
17.487 * [taylor]: Taking taylor expansion of n in k
17.487 * [backup-simplify]: Simplify n into n
17.487 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.487 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.487 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.487 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.488 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.488 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.488 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
17.488 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
17.488 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.488 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.488 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.488 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.488 * [taylor]: Taking taylor expansion of 1/2 in n
17.488 * [backup-simplify]: Simplify 1/2 into 1/2
17.488 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.488 * [taylor]: Taking taylor expansion of 1/2 in n
17.488 * [backup-simplify]: Simplify 1/2 into 1/2
17.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.488 * [taylor]: Taking taylor expansion of k in n
17.488 * [backup-simplify]: Simplify k into k
17.488 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.488 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.488 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.488 * [taylor]: Taking taylor expansion of 2 in n
17.488 * [backup-simplify]: Simplify 2 into 2
17.488 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.488 * [taylor]: Taking taylor expansion of PI in n
17.488 * [backup-simplify]: Simplify PI into PI
17.488 * [taylor]: Taking taylor expansion of n in n
17.488 * [backup-simplify]: Simplify 0 into 0
17.488 * [backup-simplify]: Simplify 1 into 1
17.489 * [backup-simplify]: Simplify (/ PI 1) into PI
17.489 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.490 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.490 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.490 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.490 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.492 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
17.492 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.492 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.492 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.492 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.492 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.493 * [taylor]: Taking taylor expansion of 1/2 in n
17.493 * [backup-simplify]: Simplify 1/2 into 1/2
17.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.493 * [taylor]: Taking taylor expansion of 1/2 in n
17.493 * [backup-simplify]: Simplify 1/2 into 1/2
17.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.493 * [taylor]: Taking taylor expansion of k in n
17.493 * [backup-simplify]: Simplify k into k
17.493 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.493 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.493 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.493 * [taylor]: Taking taylor expansion of 2 in n
17.493 * [backup-simplify]: Simplify 2 into 2
17.493 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.493 * [taylor]: Taking taylor expansion of PI in n
17.493 * [backup-simplify]: Simplify PI into PI
17.493 * [taylor]: Taking taylor expansion of n in n
17.493 * [backup-simplify]: Simplify 0 into 0
17.493 * [backup-simplify]: Simplify 1 into 1
17.493 * [backup-simplify]: Simplify (/ PI 1) into PI
17.493 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.494 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.494 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.494 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.494 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.495 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.496 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
17.497 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.497 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
17.497 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
17.497 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.497 * [taylor]: Taking taylor expansion of 1/2 in k
17.497 * [backup-simplify]: Simplify 1/2 into 1/2
17.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.497 * [taylor]: Taking taylor expansion of 1/2 in k
17.497 * [backup-simplify]: Simplify 1/2 into 1/2
17.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.497 * [taylor]: Taking taylor expansion of k in k
17.497 * [backup-simplify]: Simplify 0 into 0
17.497 * [backup-simplify]: Simplify 1 into 1
17.497 * [backup-simplify]: Simplify (/ 1 1) into 1
17.497 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
17.497 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
17.497 * [taylor]: Taking taylor expansion of (* 2 PI) in k
17.498 * [taylor]: Taking taylor expansion of 2 in k
17.498 * [backup-simplify]: Simplify 2 into 2
17.498 * [taylor]: Taking taylor expansion of PI in k
17.498 * [backup-simplify]: Simplify PI into PI
17.498 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.499 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.499 * [taylor]: Taking taylor expansion of (log n) in k
17.499 * [taylor]: Taking taylor expansion of n in k
17.499 * [backup-simplify]: Simplify n into n
17.499 * [backup-simplify]: Simplify (log n) into (log n)
17.500 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.500 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.500 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.500 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.501 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
17.503 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
17.504 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.505 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.507 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.510 * [backup-simplify]: Simplify (- 0) into 0
17.510 * [backup-simplify]: Simplify (+ 0 0) into 0
17.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.512 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.514 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.514 * [taylor]: Taking taylor expansion of 0 in k
17.514 * [backup-simplify]: Simplify 0 into 0
17.515 * [backup-simplify]: Simplify 0 into 0
17.515 * [backup-simplify]: Simplify 0 into 0
17.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
17.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.522 * [backup-simplify]: Simplify (- 0) into 0
17.523 * [backup-simplify]: Simplify (+ 0 0) into 0
17.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.526 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
17.528 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.529 * [taylor]: Taking taylor expansion of 0 in k
17.529 * [backup-simplify]: Simplify 0 into 0
17.529 * [backup-simplify]: Simplify 0 into 0
17.529 * [backup-simplify]: Simplify 0 into 0
17.529 * [backup-simplify]: Simplify 0 into 0
17.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.539 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
17.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.541 * [backup-simplify]: Simplify (- 0) into 0
17.541 * [backup-simplify]: Simplify (+ 0 0) into 0
17.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.544 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
17.547 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.547 * [taylor]: Taking taylor expansion of 0 in k
17.547 * [backup-simplify]: Simplify 0 into 0
17.547 * [backup-simplify]: Simplify 0 into 0
17.549 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
17.549 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
17.549 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
17.550 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
17.550 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
17.550 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
17.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.550 * [taylor]: Taking taylor expansion of 1/2 in k
17.550 * [backup-simplify]: Simplify 1/2 into 1/2
17.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.550 * [taylor]: Taking taylor expansion of k in k
17.550 * [backup-simplify]: Simplify 0 into 0
17.550 * [backup-simplify]: Simplify 1 into 1
17.550 * [backup-simplify]: Simplify (/ 1 1) into 1
17.550 * [taylor]: Taking taylor expansion of 1/2 in k
17.550 * [backup-simplify]: Simplify 1/2 into 1/2
17.550 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
17.550 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
17.550 * [taylor]: Taking taylor expansion of -2 in k
17.550 * [backup-simplify]: Simplify -2 into -2
17.550 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.550 * [taylor]: Taking taylor expansion of PI in k
17.550 * [backup-simplify]: Simplify PI into PI
17.550 * [taylor]: Taking taylor expansion of n in k
17.550 * [backup-simplify]: Simplify n into n
17.551 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.551 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
17.551 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
17.551 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.552 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.552 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
17.552 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
17.552 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.552 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
17.552 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
17.552 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.552 * [taylor]: Taking taylor expansion of 1/2 in n
17.552 * [backup-simplify]: Simplify 1/2 into 1/2
17.552 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.552 * [taylor]: Taking taylor expansion of k in n
17.552 * [backup-simplify]: Simplify k into k
17.552 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.552 * [taylor]: Taking taylor expansion of 1/2 in n
17.552 * [backup-simplify]: Simplify 1/2 into 1/2
17.552 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.552 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.552 * [taylor]: Taking taylor expansion of -2 in n
17.552 * [backup-simplify]: Simplify -2 into -2
17.552 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.552 * [taylor]: Taking taylor expansion of PI in n
17.552 * [backup-simplify]: Simplify PI into PI
17.552 * [taylor]: Taking taylor expansion of n in n
17.552 * [backup-simplify]: Simplify 0 into 0
17.552 * [backup-simplify]: Simplify 1 into 1
17.553 * [backup-simplify]: Simplify (/ PI 1) into PI
17.553 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.554 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.555 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.555 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.557 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
17.558 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.558 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
17.558 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
17.558 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
17.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
17.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.559 * [taylor]: Taking taylor expansion of 1/2 in n
17.559 * [backup-simplify]: Simplify 1/2 into 1/2
17.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.559 * [taylor]: Taking taylor expansion of k in n
17.559 * [backup-simplify]: Simplify k into k
17.559 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.559 * [taylor]: Taking taylor expansion of 1/2 in n
17.559 * [backup-simplify]: Simplify 1/2 into 1/2
17.559 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
17.559 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.559 * [taylor]: Taking taylor expansion of -2 in n
17.559 * [backup-simplify]: Simplify -2 into -2
17.559 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.559 * [taylor]: Taking taylor expansion of PI in n
17.559 * [backup-simplify]: Simplify PI into PI
17.559 * [taylor]: Taking taylor expansion of n in n
17.559 * [backup-simplify]: Simplify 0 into 0
17.559 * [backup-simplify]: Simplify 1 into 1
17.560 * [backup-simplify]: Simplify (/ PI 1) into PI
17.560 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.561 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.561 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.561 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
17.563 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.564 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
17.565 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.565 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
17.565 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
17.565 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
17.565 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.565 * [taylor]: Taking taylor expansion of 1/2 in k
17.565 * [backup-simplify]: Simplify 1/2 into 1/2
17.565 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.565 * [taylor]: Taking taylor expansion of k in k
17.565 * [backup-simplify]: Simplify 0 into 0
17.565 * [backup-simplify]: Simplify 1 into 1
17.566 * [backup-simplify]: Simplify (/ 1 1) into 1
17.566 * [taylor]: Taking taylor expansion of 1/2 in k
17.566 * [backup-simplify]: Simplify 1/2 into 1/2
17.566 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
17.566 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
17.566 * [taylor]: Taking taylor expansion of (* -2 PI) in k
17.566 * [taylor]: Taking taylor expansion of -2 in k
17.566 * [backup-simplify]: Simplify -2 into -2
17.566 * [taylor]: Taking taylor expansion of PI in k
17.566 * [backup-simplify]: Simplify PI into PI
17.566 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.567 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
17.567 * [taylor]: Taking taylor expansion of (log n) in k
17.567 * [taylor]: Taking taylor expansion of n in k
17.567 * [backup-simplify]: Simplify n into n
17.567 * [backup-simplify]: Simplify (log n) into (log n)
17.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.568 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.568 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
17.569 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
17.570 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
17.572 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.573 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
17.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.575 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
17.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.578 * [backup-simplify]: Simplify (+ 0 0) into 0
17.579 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.580 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
17.582 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.582 * [taylor]: Taking taylor expansion of 0 in k
17.582 * [backup-simplify]: Simplify 0 into 0
17.582 * [backup-simplify]: Simplify 0 into 0
17.582 * [backup-simplify]: Simplify 0 into 0
17.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.584 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.595 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
17.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.597 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
17.597 * [backup-simplify]: Simplify (+ 0 0) into 0
17.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.600 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
17.603 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
17.603 * [taylor]: Taking taylor expansion of 0 in k
17.603 * [backup-simplify]: Simplify 0 into 0
17.603 * [backup-simplify]: Simplify 0 into 0
17.603 * [backup-simplify]: Simplify 0 into 0
17.603 * [backup-simplify]: Simplify 0 into 0
17.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.606 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.612 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
17.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
17.614 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
17.614 * [backup-simplify]: Simplify (+ 0 0) into 0
17.616 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
17.618 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
17.623 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
17.623 * [taylor]: Taking taylor expansion of 0 in k
17.623 * [backup-simplify]: Simplify 0 into 0
17.623 * [backup-simplify]: Simplify 0 into 0
17.624 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
17.624 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
17.624 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
17.624 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
17.624 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.624 * [taylor]: Taking taylor expansion of 2 in n
17.624 * [backup-simplify]: Simplify 2 into 2
17.624 * [taylor]: Taking taylor expansion of (* n PI) in n
17.624 * [taylor]: Taking taylor expansion of n in n
17.624 * [backup-simplify]: Simplify 0 into 0
17.624 * [backup-simplify]: Simplify 1 into 1
17.624 * [taylor]: Taking taylor expansion of PI in n
17.624 * [backup-simplify]: Simplify PI into PI
17.624 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.624 * [taylor]: Taking taylor expansion of 2 in n
17.624 * [backup-simplify]: Simplify 2 into 2
17.624 * [taylor]: Taking taylor expansion of (* n PI) in n
17.624 * [taylor]: Taking taylor expansion of n in n
17.624 * [backup-simplify]: Simplify 0 into 0
17.624 * [backup-simplify]: Simplify 1 into 1
17.624 * [taylor]: Taking taylor expansion of PI in n
17.624 * [backup-simplify]: Simplify PI into PI
17.625 * [backup-simplify]: Simplify (* 0 PI) into 0
17.625 * [backup-simplify]: Simplify (* 2 0) into 0
17.625 * [backup-simplify]: Simplify 0 into 0
17.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.627 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.627 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.629 * [backup-simplify]: Simplify 0 into 0
17.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
17.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
17.630 * [backup-simplify]: Simplify 0 into 0
17.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
17.632 * [backup-simplify]: Simplify 0 into 0
17.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
17.634 * [backup-simplify]: Simplify 0 into 0
17.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.636 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
17.636 * [backup-simplify]: Simplify 0 into 0
17.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
17.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
17.638 * [backup-simplify]: Simplify 0 into 0
17.639 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
17.639 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
17.639 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
17.639 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.639 * [taylor]: Taking taylor expansion of 2 in n
17.639 * [backup-simplify]: Simplify 2 into 2
17.639 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.639 * [taylor]: Taking taylor expansion of PI in n
17.639 * [backup-simplify]: Simplify PI into PI
17.639 * [taylor]: Taking taylor expansion of n in n
17.639 * [backup-simplify]: Simplify 0 into 0
17.639 * [backup-simplify]: Simplify 1 into 1
17.639 * [backup-simplify]: Simplify (/ PI 1) into PI
17.639 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.639 * [taylor]: Taking taylor expansion of 2 in n
17.639 * [backup-simplify]: Simplify 2 into 2
17.639 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.640 * [taylor]: Taking taylor expansion of PI in n
17.640 * [backup-simplify]: Simplify PI into PI
17.640 * [taylor]: Taking taylor expansion of n in n
17.640 * [backup-simplify]: Simplify 0 into 0
17.640 * [backup-simplify]: Simplify 1 into 1
17.640 * [backup-simplify]: Simplify (/ PI 1) into PI
17.640 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.641 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.642 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.642 * [backup-simplify]: Simplify 0 into 0
17.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
17.643 * [backup-simplify]: Simplify 0 into 0
17.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.644 * [backup-simplify]: Simplify 0 into 0
17.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.646 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.646 * [backup-simplify]: Simplify 0 into 0
17.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.647 * [backup-simplify]: Simplify 0 into 0
17.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.649 * [backup-simplify]: Simplify 0 into 0
17.650 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
17.650 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
17.650 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
17.650 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.650 * [taylor]: Taking taylor expansion of -2 in n
17.650 * [backup-simplify]: Simplify -2 into -2
17.650 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.650 * [taylor]: Taking taylor expansion of PI in n
17.650 * [backup-simplify]: Simplify PI into PI
17.650 * [taylor]: Taking taylor expansion of n in n
17.650 * [backup-simplify]: Simplify 0 into 0
17.650 * [backup-simplify]: Simplify 1 into 1
17.650 * [backup-simplify]: Simplify (/ PI 1) into PI
17.650 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
17.650 * [taylor]: Taking taylor expansion of -2 in n
17.650 * [backup-simplify]: Simplify -2 into -2
17.650 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.650 * [taylor]: Taking taylor expansion of PI in n
17.650 * [backup-simplify]: Simplify PI into PI
17.651 * [taylor]: Taking taylor expansion of n in n
17.651 * [backup-simplify]: Simplify 0 into 0
17.651 * [backup-simplify]: Simplify 1 into 1
17.651 * [backup-simplify]: Simplify (/ PI 1) into PI
17.651 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.652 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
17.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.653 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
17.653 * [backup-simplify]: Simplify 0 into 0
17.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.654 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
17.654 * [backup-simplify]: Simplify 0 into 0
17.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.657 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.657 * [backup-simplify]: Simplify 0 into 0
17.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.659 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
17.660 * [backup-simplify]: Simplify 0 into 0
17.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.662 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
17.662 * [backup-simplify]: Simplify 0 into 0
17.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.665 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
17.665 * [backup-simplify]: Simplify 0 into 0
17.666 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
17.666 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
17.666 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
17.666 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
17.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.666 * [taylor]: Taking taylor expansion of k in k
17.666 * [backup-simplify]: Simplify 0 into 0
17.666 * [backup-simplify]: Simplify 1 into 1
17.667 * [backup-simplify]: Simplify (/ 1 1) into 1
17.667 * [backup-simplify]: Simplify (sqrt 0) into 0
17.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.669 * [taylor]: Taking taylor expansion of k in k
17.669 * [backup-simplify]: Simplify 0 into 0
17.669 * [backup-simplify]: Simplify 1 into 1
17.669 * [backup-simplify]: Simplify (/ 1 1) into 1
17.669 * [backup-simplify]: Simplify (sqrt 0) into 0
17.671 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.671 * [backup-simplify]: Simplify 0 into 0
17.671 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.674 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.675 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.680 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.680 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
17.680 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
17.680 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
17.680 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.680 * [taylor]: Taking taylor expansion of k in k
17.680 * [backup-simplify]: Simplify 0 into 0
17.680 * [backup-simplify]: Simplify 1 into 1
17.680 * [backup-simplify]: Simplify (sqrt 0) into 0
17.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.682 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.682 * [taylor]: Taking taylor expansion of k in k
17.682 * [backup-simplify]: Simplify 0 into 0
17.682 * [backup-simplify]: Simplify 1 into 1
17.682 * [backup-simplify]: Simplify (sqrt 0) into 0
17.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.684 * [backup-simplify]: Simplify 0 into 0
17.684 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.691 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.691 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
17.691 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
17.691 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
17.691 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.691 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.691 * [taylor]: Taking taylor expansion of -1 in k
17.691 * [backup-simplify]: Simplify -1 into -1
17.691 * [taylor]: Taking taylor expansion of k in k
17.691 * [backup-simplify]: Simplify 0 into 0
17.691 * [backup-simplify]: Simplify 1 into 1
17.692 * [backup-simplify]: Simplify (/ -1 1) into -1
17.692 * [backup-simplify]: Simplify (sqrt 0) into 0
17.693 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.694 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.694 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
17.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
17.694 * [taylor]: Taking taylor expansion of (/ -1 k) in k
17.694 * [taylor]: Taking taylor expansion of -1 in k
17.694 * [backup-simplify]: Simplify -1 into -1
17.694 * [taylor]: Taking taylor expansion of k in k
17.694 * [backup-simplify]: Simplify 0 into 0
17.694 * [backup-simplify]: Simplify 1 into 1
17.695 * [backup-simplify]: Simplify (/ -1 1) into -1
17.695 * [backup-simplify]: Simplify (sqrt 0) into 0
17.696 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
17.697 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
17.697 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
17.701 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.702 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
17.703 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.712 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
17.712 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
17.713 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
17.713 * * * * [progress]: [ 4 / 4 ] generating series at (2)
17.714 * [backup-simplify]: Simplify (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k)))
17.714 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0
17.714 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
17.714 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
17.714 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
17.714 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
17.714 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
17.714 * [taylor]: Taking taylor expansion of 1/2 in n
17.714 * [backup-simplify]: Simplify 1/2 into 1/2
17.714 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
17.714 * [taylor]: Taking taylor expansion of 1/2 in n
17.714 * [backup-simplify]: Simplify 1/2 into 1/2
17.714 * [taylor]: Taking taylor expansion of k in n
17.714 * [backup-simplify]: Simplify k into k
17.714 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.714 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.714 * [taylor]: Taking taylor expansion of 2 in n
17.714 * [backup-simplify]: Simplify 2 into 2
17.714 * [taylor]: Taking taylor expansion of (* n PI) in n
17.715 * [taylor]: Taking taylor expansion of n in n
17.715 * [backup-simplify]: Simplify 0 into 0
17.715 * [backup-simplify]: Simplify 1 into 1
17.715 * [taylor]: Taking taylor expansion of PI in n
17.715 * [backup-simplify]: Simplify PI into PI
17.715 * [backup-simplify]: Simplify (* 0 PI) into 0
17.716 * [backup-simplify]: Simplify (* 2 0) into 0
17.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.719 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.729 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.729 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
17.729 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
17.729 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
17.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.733 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
17.734 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
17.734 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
17.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.734 * [taylor]: Taking taylor expansion of k in n
17.734 * [backup-simplify]: Simplify k into k
17.734 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.735 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
17.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
17.735 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
17.735 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
17.735 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
17.735 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
17.735 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.735 * [taylor]: Taking taylor expansion of 1/2 in k
17.735 * [backup-simplify]: Simplify 1/2 into 1/2
17.735 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.735 * [taylor]: Taking taylor expansion of 1/2 in k
17.735 * [backup-simplify]: Simplify 1/2 into 1/2
17.735 * [taylor]: Taking taylor expansion of k in k
17.735 * [backup-simplify]: Simplify 0 into 0
17.735 * [backup-simplify]: Simplify 1 into 1
17.735 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.735 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.735 * [taylor]: Taking taylor expansion of 2 in k
17.735 * [backup-simplify]: Simplify 2 into 2
17.735 * [taylor]: Taking taylor expansion of (* n PI) in k
17.735 * [taylor]: Taking taylor expansion of n in k
17.735 * [backup-simplify]: Simplify n into n
17.735 * [taylor]: Taking taylor expansion of PI in k
17.735 * [backup-simplify]: Simplify PI into PI
17.736 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.736 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.736 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.736 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.737 * [backup-simplify]: Simplify (- 0) into 0
17.737 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.737 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.737 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.737 * [taylor]: Taking taylor expansion of k in k
17.737 * [backup-simplify]: Simplify 0 into 0
17.738 * [backup-simplify]: Simplify 1 into 1
17.738 * [backup-simplify]: Simplify (/ 1 1) into 1
17.738 * [backup-simplify]: Simplify (sqrt 0) into 0
17.740 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.740 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
17.740 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
17.740 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
17.740 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
17.740 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
17.740 * [taylor]: Taking taylor expansion of 1/2 in k
17.740 * [backup-simplify]: Simplify 1/2 into 1/2
17.740 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
17.740 * [taylor]: Taking taylor expansion of 1/2 in k
17.740 * [backup-simplify]: Simplify 1/2 into 1/2
17.740 * [taylor]: Taking taylor expansion of k in k
17.740 * [backup-simplify]: Simplify 0 into 0
17.740 * [backup-simplify]: Simplify 1 into 1
17.740 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
17.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
17.740 * [taylor]: Taking taylor expansion of 2 in k
17.740 * [backup-simplify]: Simplify 2 into 2
17.740 * [taylor]: Taking taylor expansion of (* n PI) in k
17.741 * [taylor]: Taking taylor expansion of n in k
17.741 * [backup-simplify]: Simplify n into n
17.741 * [taylor]: Taking taylor expansion of PI in k
17.741 * [backup-simplify]: Simplify PI into PI
17.741 * [backup-simplify]: Simplify (* n PI) into (* n PI)
17.741 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
17.741 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
17.741 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.742 * [backup-simplify]: Simplify (- 0) into 0
17.742 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
17.742 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
17.742 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
17.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
17.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.742 * [taylor]: Taking taylor expansion of k in k
17.742 * [backup-simplify]: Simplify 0 into 0
17.742 * [backup-simplify]: Simplify 1 into 1
17.743 * [backup-simplify]: Simplify (/ 1 1) into 1
17.743 * [backup-simplify]: Simplify (sqrt 0) into 0
17.745 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.745 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
17.745 * [taylor]: Taking taylor expansion of 0 in n
17.745 * [backup-simplify]: Simplify 0 into 0
17.745 * [backup-simplify]: Simplify 0 into 0
17.746 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
17.746 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
17.747 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
17.748 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.748 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.748 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
17.749 * [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)))))
17.750 * [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)))))
17.750 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
17.750 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.750 * [taylor]: Taking taylor expansion of +nan.0 in n
17.750 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.750 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.750 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.750 * [taylor]: Taking taylor expansion of 2 in n
17.750 * [backup-simplify]: Simplify 2 into 2
17.750 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.751 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.751 * [taylor]: Taking taylor expansion of (* n PI) in n
17.751 * [taylor]: Taking taylor expansion of n in n
17.751 * [backup-simplify]: Simplify 0 into 0
17.751 * [backup-simplify]: Simplify 1 into 1
17.751 * [taylor]: Taking taylor expansion of PI in n
17.751 * [backup-simplify]: Simplify PI into PI
17.752 * [backup-simplify]: Simplify (* 0 PI) into 0
17.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.753 * [backup-simplify]: Simplify (sqrt 0) into 0
17.755 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.755 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.756 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.756 * [backup-simplify]: Simplify (- 0) into 0
17.756 * [backup-simplify]: Simplify 0 into 0
17.756 * [backup-simplify]: Simplify 0 into 0
17.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.760 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.761 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
17.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
17.764 * [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
17.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.765 * [backup-simplify]: Simplify (- 0) into 0
17.766 * [backup-simplify]: Simplify (+ 0 0) into 0
17.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
17.768 * [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)))
17.769 * [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)))))))
17.769 * [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
17.769 * [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
17.769 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
17.769 * [taylor]: Taking taylor expansion of +nan.0 in n
17.769 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.769 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
17.769 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
17.769 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.769 * [taylor]: Taking taylor expansion of 2 in n
17.769 * [backup-simplify]: Simplify 2 into 2
17.770 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.770 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.770 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.770 * [taylor]: Taking taylor expansion of 2 in n
17.770 * [backup-simplify]: Simplify 2 into 2
17.770 * [taylor]: Taking taylor expansion of (* n PI) in n
17.770 * [taylor]: Taking taylor expansion of n in n
17.770 * [backup-simplify]: Simplify 0 into 0
17.770 * [backup-simplify]: Simplify 1 into 1
17.771 * [taylor]: Taking taylor expansion of PI in n
17.771 * [backup-simplify]: Simplify PI into PI
17.771 * [backup-simplify]: Simplify (* 0 PI) into 0
17.771 * [backup-simplify]: Simplify (* 2 0) into 0
17.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.775 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.776 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.776 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.776 * [taylor]: Taking taylor expansion of (* n PI) in n
17.776 * [taylor]: Taking taylor expansion of n in n
17.776 * [backup-simplify]: Simplify 0 into 0
17.776 * [backup-simplify]: Simplify 1 into 1
17.776 * [taylor]: Taking taylor expansion of PI in n
17.776 * [backup-simplify]: Simplify PI into PI
17.777 * [backup-simplify]: Simplify (* 0 PI) into 0
17.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.779 * [backup-simplify]: Simplify (sqrt 0) into 0
17.780 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
17.780 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.780 * [taylor]: Taking taylor expansion of +nan.0 in n
17.780 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.780 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.780 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.780 * [taylor]: Taking taylor expansion of 2 in n
17.780 * [backup-simplify]: Simplify 2 into 2
17.781 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.782 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.782 * [taylor]: Taking taylor expansion of (* n PI) in n
17.782 * [taylor]: Taking taylor expansion of n in n
17.782 * [backup-simplify]: Simplify 0 into 0
17.782 * [backup-simplify]: Simplify 1 into 1
17.782 * [taylor]: Taking taylor expansion of PI in n
17.782 * [backup-simplify]: Simplify PI into PI
17.782 * [backup-simplify]: Simplify (* 0 PI) into 0
17.784 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.784 * [backup-simplify]: Simplify (sqrt 0) into 0
17.786 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.787 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.789 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
17.790 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
17.791 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.791 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.792 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.792 * [backup-simplify]: Simplify (- 0) into 0
17.793 * [backup-simplify]: Simplify (+ 0 0) into 0
17.793 * [backup-simplify]: Simplify (- 0) into 0
17.793 * [backup-simplify]: Simplify 0 into 0
17.797 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.803 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.806 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
17.809 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
17.809 * [backup-simplify]: Simplify 0 into 0
17.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.816 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
17.817 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
17.820 * [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
17.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.822 * [backup-simplify]: Simplify (- 0) into 0
17.822 * [backup-simplify]: Simplify (+ 0 0) into 0
17.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
17.825 * [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)))
17.827 * [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)))))))))
17.827 * [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
17.827 * [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
17.827 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
17.827 * [taylor]: Taking taylor expansion of +nan.0 in n
17.827 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.827 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
17.827 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
17.827 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.827 * [taylor]: Taking taylor expansion of 2 in n
17.827 * [backup-simplify]: Simplify 2 into 2
17.828 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.828 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.829 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.829 * [taylor]: Taking taylor expansion of 2 in n
17.829 * [backup-simplify]: Simplify 2 into 2
17.829 * [taylor]: Taking taylor expansion of (* n PI) in n
17.829 * [taylor]: Taking taylor expansion of n in n
17.829 * [backup-simplify]: Simplify 0 into 0
17.829 * [backup-simplify]: Simplify 1 into 1
17.829 * [taylor]: Taking taylor expansion of PI in n
17.829 * [backup-simplify]: Simplify PI into PI
17.829 * [backup-simplify]: Simplify (* 0 PI) into 0
17.830 * [backup-simplify]: Simplify (* 2 0) into 0
17.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.833 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.834 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.834 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.834 * [taylor]: Taking taylor expansion of (* n PI) in n
17.834 * [taylor]: Taking taylor expansion of n in n
17.834 * [backup-simplify]: Simplify 0 into 0
17.834 * [backup-simplify]: Simplify 1 into 1
17.834 * [taylor]: Taking taylor expansion of PI in n
17.834 * [backup-simplify]: Simplify PI into PI
17.835 * [backup-simplify]: Simplify (* 0 PI) into 0
17.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.837 * [backup-simplify]: Simplify (sqrt 0) into 0
17.838 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.838 * [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
17.838 * [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
17.838 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
17.839 * [taylor]: Taking taylor expansion of +nan.0 in n
17.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.839 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
17.839 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.839 * [taylor]: Taking taylor expansion of 2 in n
17.839 * [backup-simplify]: Simplify 2 into 2
17.839 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.840 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.840 * [taylor]: Taking taylor expansion of (* n PI) in n
17.840 * [taylor]: Taking taylor expansion of n in n
17.840 * [backup-simplify]: Simplify 0 into 0
17.840 * [backup-simplify]: Simplify 1 into 1
17.840 * [taylor]: Taking taylor expansion of PI in n
17.840 * [backup-simplify]: Simplify PI into PI
17.840 * [backup-simplify]: Simplify (* 0 PI) into 0
17.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.842 * [backup-simplify]: Simplify (sqrt 0) into 0
17.844 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
17.844 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
17.844 * [taylor]: Taking taylor expansion of +nan.0 in n
17.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.844 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
17.844 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
17.844 * [taylor]: Taking taylor expansion of (sqrt 2) in n
17.844 * [taylor]: Taking taylor expansion of 2 in n
17.844 * [backup-simplify]: Simplify 2 into 2
17.844 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
17.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
17.845 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
17.845 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
17.845 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
17.845 * [taylor]: Taking taylor expansion of 2 in n
17.845 * [backup-simplify]: Simplify 2 into 2
17.845 * [taylor]: Taking taylor expansion of (* n PI) in n
17.845 * [taylor]: Taking taylor expansion of n in n
17.845 * [backup-simplify]: Simplify 0 into 0
17.845 * [backup-simplify]: Simplify 1 into 1
17.845 * [taylor]: Taking taylor expansion of PI in n
17.845 * [backup-simplify]: Simplify PI into PI
17.846 * [backup-simplify]: Simplify (* 0 PI) into 0
17.846 * [backup-simplify]: Simplify (* 2 0) into 0
17.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.850 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
17.851 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.852 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.852 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
17.852 * [taylor]: Taking taylor expansion of (* n PI) in n
17.852 * [taylor]: Taking taylor expansion of n in n
17.852 * [backup-simplify]: Simplify 0 into 0
17.852 * [backup-simplify]: Simplify 1 into 1
17.853 * [taylor]: Taking taylor expansion of PI in n
17.853 * [backup-simplify]: Simplify PI into PI
17.853 * [backup-simplify]: Simplify (* 0 PI) into 0
17.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
17.855 * [backup-simplify]: Simplify (sqrt 0) into 0
17.856 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
17.858 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.859 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
17.860 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
17.860 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.860 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
17.860 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.861 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.862 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.864 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
17.865 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
17.866 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
17.866 * [backup-simplify]: Simplify (* +nan.0 0) into 0
17.866 * [backup-simplify]: Simplify (- 0) into 0
17.867 * [backup-simplify]: Simplify (+ 0 0) into 0
17.867 * [backup-simplify]: Simplify (- 0) into 0
17.867 * [backup-simplify]: Simplify (+ 0 0) into 0
17.867 * [backup-simplify]: Simplify (- 0) into 0
17.867 * [backup-simplify]: Simplify 0 into 0
17.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
17.875 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
17.877 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
17.879 * [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))))))))
17.883 * [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))))))))
17.885 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.888 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
17.890 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
17.896 * [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))))))))))
17.901 * [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)))))))
17.906 * [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)))))))
17.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
17.912 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
17.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
17.918 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
17.927 * [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))))
17.932 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
17.935 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
17.949 * [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)))))))))))))
17.950 * [backup-simplify]: Simplify (/ (/ 1 (sqrt (/ 1 k))) (/ 1 (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
17.951 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0
17.951 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
17.951 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.951 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.951 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.951 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.951 * [taylor]: Taking taylor expansion of 1/2 in n
17.951 * [backup-simplify]: Simplify 1/2 into 1/2
17.951 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.951 * [taylor]: Taking taylor expansion of 1/2 in n
17.951 * [backup-simplify]: Simplify 1/2 into 1/2
17.951 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.951 * [taylor]: Taking taylor expansion of k in n
17.951 * [backup-simplify]: Simplify k into k
17.951 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.951 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.951 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.951 * [taylor]: Taking taylor expansion of 2 in n
17.951 * [backup-simplify]: Simplify 2 into 2
17.951 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.951 * [taylor]: Taking taylor expansion of PI in n
17.951 * [backup-simplify]: Simplify PI into PI
17.951 * [taylor]: Taking taylor expansion of n in n
17.951 * [backup-simplify]: Simplify 0 into 0
17.952 * [backup-simplify]: Simplify 1 into 1
17.952 * [backup-simplify]: Simplify (/ PI 1) into PI
17.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.954 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.954 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.954 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.954 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.956 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
17.957 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.957 * [taylor]: Taking taylor expansion of (sqrt k) in n
17.957 * [taylor]: Taking taylor expansion of k in n
17.957 * [backup-simplify]: Simplify k into k
17.957 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
17.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
17.957 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
17.957 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
17.957 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.957 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.957 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.957 * [taylor]: Taking taylor expansion of 1/2 in k
17.957 * [backup-simplify]: Simplify 1/2 into 1/2
17.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.957 * [taylor]: Taking taylor expansion of 1/2 in k
17.957 * [backup-simplify]: Simplify 1/2 into 1/2
17.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.957 * [taylor]: Taking taylor expansion of k in k
17.957 * [backup-simplify]: Simplify 0 into 0
17.957 * [backup-simplify]: Simplify 1 into 1
17.957 * [backup-simplify]: Simplify (/ 1 1) into 1
17.957 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.957 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.957 * [taylor]: Taking taylor expansion of 2 in k
17.957 * [backup-simplify]: Simplify 2 into 2
17.957 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.957 * [taylor]: Taking taylor expansion of PI in k
17.957 * [backup-simplify]: Simplify PI into PI
17.957 * [taylor]: Taking taylor expansion of n in k
17.957 * [backup-simplify]: Simplify n into n
17.957 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.957 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.958 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.958 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.958 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.958 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.958 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
17.959 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
17.959 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.959 * [taylor]: Taking taylor expansion of k in k
17.959 * [backup-simplify]: Simplify 0 into 0
17.959 * [backup-simplify]: Simplify 1 into 1
17.959 * [backup-simplify]: Simplify (sqrt 0) into 0
17.960 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.960 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
17.960 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
17.960 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
17.960 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
17.960 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
17.960 * [taylor]: Taking taylor expansion of 1/2 in k
17.960 * [backup-simplify]: Simplify 1/2 into 1/2
17.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
17.960 * [taylor]: Taking taylor expansion of 1/2 in k
17.960 * [backup-simplify]: Simplify 1/2 into 1/2
17.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k
17.960 * [taylor]: Taking taylor expansion of k in k
17.960 * [backup-simplify]: Simplify 0 into 0
17.960 * [backup-simplify]: Simplify 1 into 1
17.960 * [backup-simplify]: Simplify (/ 1 1) into 1
17.960 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
17.960 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
17.960 * [taylor]: Taking taylor expansion of 2 in k
17.960 * [backup-simplify]: Simplify 2 into 2
17.960 * [taylor]: Taking taylor expansion of (/ PI n) in k
17.960 * [taylor]: Taking taylor expansion of PI in k
17.960 * [backup-simplify]: Simplify PI into PI
17.960 * [taylor]: Taking taylor expansion of n in k
17.960 * [backup-simplify]: Simplify n into n
17.960 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
17.960 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
17.960 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
17.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
17.961 * [backup-simplify]: Simplify (- 1/2) into -1/2
17.961 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
17.961 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
17.961 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
17.962 * [taylor]: Taking taylor expansion of (sqrt k) in k
17.962 * [taylor]: Taking taylor expansion of k in k
17.962 * [backup-simplify]: Simplify 0 into 0
17.962 * [backup-simplify]: Simplify 1 into 1
17.962 * [backup-simplify]: Simplify (sqrt 0) into 0
17.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
17.963 * [backup-simplify]: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
17.963 * [taylor]: Taking taylor expansion of 0 in n
17.963 * [backup-simplify]: Simplify 0 into 0
17.963 * [backup-simplify]: Simplify 0 into 0
17.963 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
17.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
17.963 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
17.963 * [taylor]: Taking taylor expansion of +nan.0 in n
17.963 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.963 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.963 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.963 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.963 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.963 * [taylor]: Taking taylor expansion of 1/2 in n
17.963 * [backup-simplify]: Simplify 1/2 into 1/2
17.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.963 * [taylor]: Taking taylor expansion of 1/2 in n
17.964 * [backup-simplify]: Simplify 1/2 into 1/2
17.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.964 * [taylor]: Taking taylor expansion of k in n
17.964 * [backup-simplify]: Simplify k into k
17.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.964 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.964 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.964 * [taylor]: Taking taylor expansion of 2 in n
17.964 * [backup-simplify]: Simplify 2 into 2
17.964 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.964 * [taylor]: Taking taylor expansion of PI in n
17.964 * [backup-simplify]: Simplify PI into PI
17.964 * [taylor]: Taking taylor expansion of n in n
17.964 * [backup-simplify]: Simplify 0 into 0
17.964 * [backup-simplify]: Simplify 1 into 1
17.964 * [backup-simplify]: Simplify (/ PI 1) into PI
17.964 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.965 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.965 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.965 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.965 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.966 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.967 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
17.968 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.968 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.969 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
17.970 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
17.970 * [backup-simplify]: Simplify 0 into 0
17.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
17.972 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
17.972 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
17.972 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
17.973 * [taylor]: Taking taylor expansion of +nan.0 in n
17.973 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.973 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.973 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.973 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.973 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.973 * [taylor]: Taking taylor expansion of 1/2 in n
17.973 * [backup-simplify]: Simplify 1/2 into 1/2
17.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.973 * [taylor]: Taking taylor expansion of 1/2 in n
17.973 * [backup-simplify]: Simplify 1/2 into 1/2
17.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.973 * [taylor]: Taking taylor expansion of k in n
17.973 * [backup-simplify]: Simplify k into k
17.973 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.973 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.973 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.973 * [taylor]: Taking taylor expansion of 2 in n
17.973 * [backup-simplify]: Simplify 2 into 2
17.973 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.973 * [taylor]: Taking taylor expansion of PI in n
17.973 * [backup-simplify]: Simplify PI into PI
17.973 * [taylor]: Taking taylor expansion of n in n
17.973 * [backup-simplify]: Simplify 0 into 0
17.973 * [backup-simplify]: Simplify 1 into 1
17.973 * [backup-simplify]: Simplify (/ PI 1) into PI
17.974 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
17.975 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
17.975 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
17.975 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
17.975 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
17.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.978 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
17.979 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
17.980 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
17.981 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
17.982 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
17.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
17.989 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
17.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
17.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
17.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
17.991 * [backup-simplify]: Simplify (- 0) into 0
17.991 * [backup-simplify]: Simplify (+ 0 0) into 0
17.992 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
17.993 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
17.994 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
17.995 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
17.995 * [backup-simplify]: Simplify (- 0) into 0
17.995 * [backup-simplify]: Simplify 0 into 0
17.995 * [backup-simplify]: Simplify 0 into 0
17.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.999 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
17.999 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
17.999 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
17.999 * [taylor]: Taking taylor expansion of +nan.0 in n
17.999 * [backup-simplify]: Simplify +nan.0 into +nan.0
17.999 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
17.999 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
17.999 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
17.999 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
17.999 * [taylor]: Taking taylor expansion of 1/2 in n
17.999 * [backup-simplify]: Simplify 1/2 into 1/2
17.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
17.999 * [taylor]: Taking taylor expansion of 1/2 in n
17.999 * [backup-simplify]: Simplify 1/2 into 1/2
17.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n
17.999 * [taylor]: Taking taylor expansion of k in n
17.999 * [backup-simplify]: Simplify k into k
17.999 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
17.999 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
17.999 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
17.999 * [taylor]: Taking taylor expansion of 2 in n
17.999 * [backup-simplify]: Simplify 2 into 2
17.999 * [taylor]: Taking taylor expansion of (/ PI n) in n
17.999 * [taylor]: Taking taylor expansion of PI in n
17.999 * [backup-simplify]: Simplify PI into PI
17.999 * [taylor]: Taking taylor expansion of n in n
17.999 * [backup-simplify]: Simplify 0 into 0
17.999 * [backup-simplify]: Simplify 1 into 1
17.999 * [backup-simplify]: Simplify (/ PI 1) into PI
18.000 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
18.000 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
18.000 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.000 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
18.001 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
18.001 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
18.002 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
18.003 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
18.004 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
18.005 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
18.005 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
18.008 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
18.008 * [backup-simplify]: Simplify (/ (/ 1 (sqrt (/ 1 (- k)))) (/ 1 (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
18.009 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
18.009 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
18.009 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.009 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
18.009 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
18.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.009 * [taylor]: Taking taylor expansion of 1/2 in n
18.009 * [backup-simplify]: Simplify 1/2 into 1/2
18.009 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.009 * [taylor]: Taking taylor expansion of k in n
18.009 * [backup-simplify]: Simplify k into k
18.009 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.009 * [taylor]: Taking taylor expansion of 1/2 in n
18.009 * [backup-simplify]: Simplify 1/2 into 1/2
18.009 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.009 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.009 * [taylor]: Taking taylor expansion of -2 in n
18.009 * [backup-simplify]: Simplify -2 into -2
18.009 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.009 * [taylor]: Taking taylor expansion of PI in n
18.009 * [backup-simplify]: Simplify PI into PI
18.009 * [taylor]: Taking taylor expansion of n in n
18.009 * [backup-simplify]: Simplify 0 into 0
18.009 * [backup-simplify]: Simplify 1 into 1
18.009 * [backup-simplify]: Simplify (/ PI 1) into PI
18.010 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.010 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.010 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.010 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.012 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
18.013 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
18.013 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
18.013 * [taylor]: Taking taylor expansion of (/ -1 k) in n
18.013 * [taylor]: Taking taylor expansion of -1 in n
18.013 * [backup-simplify]: Simplify -1 into -1
18.013 * [taylor]: Taking taylor expansion of k in n
18.013 * [backup-simplify]: Simplify k into k
18.013 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
18.013 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
18.013 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
18.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
18.014 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
18.014 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
18.014 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.014 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
18.014 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
18.014 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.014 * [taylor]: Taking taylor expansion of 1/2 in k
18.014 * [backup-simplify]: Simplify 1/2 into 1/2
18.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.014 * [taylor]: Taking taylor expansion of k in k
18.014 * [backup-simplify]: Simplify 0 into 0
18.014 * [backup-simplify]: Simplify 1 into 1
18.014 * [backup-simplify]: Simplify (/ 1 1) into 1
18.014 * [taylor]: Taking taylor expansion of 1/2 in k
18.014 * [backup-simplify]: Simplify 1/2 into 1/2
18.014 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.014 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.014 * [taylor]: Taking taylor expansion of -2 in k
18.014 * [backup-simplify]: Simplify -2 into -2
18.014 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.014 * [taylor]: Taking taylor expansion of PI in k
18.014 * [backup-simplify]: Simplify PI into PI
18.015 * [taylor]: Taking taylor expansion of n in k
18.015 * [backup-simplify]: Simplify n into n
18.015 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.015 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.015 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.015 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.015 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.015 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.015 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
18.015 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.015 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.015 * [taylor]: Taking taylor expansion of -1 in k
18.015 * [backup-simplify]: Simplify -1 into -1
18.016 * [taylor]: Taking taylor expansion of k in k
18.016 * [backup-simplify]: Simplify 0 into 0
18.016 * [backup-simplify]: Simplify 1 into 1
18.016 * [backup-simplify]: Simplify (/ -1 1) into -1
18.016 * [backup-simplify]: Simplify (sqrt 0) into 0
18.017 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.017 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
18.017 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
18.017 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
18.017 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
18.017 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
18.017 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
18.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
18.017 * [taylor]: Taking taylor expansion of 1/2 in k
18.017 * [backup-simplify]: Simplify 1/2 into 1/2
18.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k
18.017 * [taylor]: Taking taylor expansion of k in k
18.017 * [backup-simplify]: Simplify 0 into 0
18.017 * [backup-simplify]: Simplify 1 into 1
18.018 * [backup-simplify]: Simplify (/ 1 1) into 1
18.018 * [taylor]: Taking taylor expansion of 1/2 in k
18.018 * [backup-simplify]: Simplify 1/2 into 1/2
18.018 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
18.018 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
18.018 * [taylor]: Taking taylor expansion of -2 in k
18.018 * [backup-simplify]: Simplify -2 into -2
18.018 * [taylor]: Taking taylor expansion of (/ PI n) in k
18.018 * [taylor]: Taking taylor expansion of PI in k
18.018 * [backup-simplify]: Simplify PI into PI
18.018 * [taylor]: Taking taylor expansion of n in k
18.018 * [backup-simplify]: Simplify n into n
18.018 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
18.018 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
18.018 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
18.018 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
18.019 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
18.019 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
18.019 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
18.019 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.019 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.019 * [taylor]: Taking taylor expansion of -1 in k
18.019 * [backup-simplify]: Simplify -1 into -1
18.019 * [taylor]: Taking taylor expansion of k in k
18.019 * [backup-simplify]: Simplify 0 into 0
18.019 * [backup-simplify]: Simplify 1 into 1
18.019 * [backup-simplify]: Simplify (/ -1 1) into -1
18.019 * [backup-simplify]: Simplify (sqrt 0) into 0
18.020 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.020 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
18.021 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
18.021 * [taylor]: Taking taylor expansion of +nan.0 in n
18.021 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.021 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
18.021 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.021 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.021 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.021 * [taylor]: Taking taylor expansion of -2 in n
18.021 * [backup-simplify]: Simplify -2 into -2
18.021 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.021 * [taylor]: Taking taylor expansion of PI in n
18.021 * [backup-simplify]: Simplify PI into PI
18.021 * [taylor]: Taking taylor expansion of n in n
18.021 * [backup-simplify]: Simplify 0 into 0
18.021 * [backup-simplify]: Simplify 1 into 1
18.021 * [backup-simplify]: Simplify (/ PI 1) into PI
18.021 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.022 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.022 * [taylor]: Taking taylor expansion of 1/2 in n
18.022 * [backup-simplify]: Simplify 1/2 into 1/2
18.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.022 * [taylor]: Taking taylor expansion of k in n
18.022 * [backup-simplify]: Simplify k into k
18.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.022 * [taylor]: Taking taylor expansion of 1/2 in n
18.022 * [backup-simplify]: Simplify 1/2 into 1/2
18.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.023 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.023 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.024 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
18.025 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
18.026 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
18.027 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
18.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.032 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
18.032 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
18.032 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
18.032 * [taylor]: Taking taylor expansion of +nan.0 in n
18.032 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.032 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
18.032 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.032 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.032 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.032 * [taylor]: Taking taylor expansion of -2 in n
18.032 * [backup-simplify]: Simplify -2 into -2
18.032 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.032 * [taylor]: Taking taylor expansion of PI in n
18.032 * [backup-simplify]: Simplify PI into PI
18.032 * [taylor]: Taking taylor expansion of n in n
18.032 * [backup-simplify]: Simplify 0 into 0
18.032 * [backup-simplify]: Simplify 1 into 1
18.032 * [backup-simplify]: Simplify (/ PI 1) into PI
18.033 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.034 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.034 * [taylor]: Taking taylor expansion of 1/2 in n
18.034 * [backup-simplify]: Simplify 1/2 into 1/2
18.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.034 * [taylor]: Taking taylor expansion of k in n
18.034 * [backup-simplify]: Simplify k into k
18.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.034 * [taylor]: Taking taylor expansion of 1/2 in n
18.034 * [backup-simplify]: Simplify 1/2 into 1/2
18.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.036 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.036 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.037 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
18.038 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
18.039 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
18.040 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
18.042 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
18.043 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
18.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
18.044 * [backup-simplify]: Simplify (+ 0 0) into 0
18.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
18.046 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
18.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
18.049 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
18.051 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
18.052 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
18.052 * [backup-simplify]: Simplify 0 into 0
18.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.059 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
18.059 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
18.059 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
18.059 * [taylor]: Taking taylor expansion of +nan.0 in n
18.059 * [backup-simplify]: Simplify +nan.0 into +nan.0
18.059 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
18.059 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
18.059 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
18.059 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
18.059 * [taylor]: Taking taylor expansion of -2 in n
18.059 * [backup-simplify]: Simplify -2 into -2
18.059 * [taylor]: Taking taylor expansion of (/ PI n) in n
18.059 * [taylor]: Taking taylor expansion of PI in n
18.059 * [backup-simplify]: Simplify PI into PI
18.059 * [taylor]: Taking taylor expansion of n in n
18.059 * [backup-simplify]: Simplify 0 into 0
18.059 * [backup-simplify]: Simplify 1 into 1
18.060 * [backup-simplify]: Simplify (/ PI 1) into PI
18.060 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
18.061 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
18.061 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
18.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
18.062 * [taylor]: Taking taylor expansion of 1/2 in n
18.062 * [backup-simplify]: Simplify 1/2 into 1/2
18.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n
18.062 * [taylor]: Taking taylor expansion of k in n
18.062 * [backup-simplify]: Simplify k into k
18.062 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
18.062 * [taylor]: Taking taylor expansion of 1/2 in n
18.062 * [backup-simplify]: Simplify 1/2 into 1/2
18.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
18.063 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
18.063 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
18.064 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
18.066 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
18.067 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
18.068 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
18.069 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
18.073 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
18.074 * * * [progress]: simplifying candidates
18.074 * * * * [progress]: [ 1 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 2 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 3 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 4 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 5 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 6 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 7 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 8 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))))))>
18.074 * * * * [progress]: [ 9 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 10 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
18.074 * * * * [progress]: [ 11 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
18.075 * * * * [progress]: [ 12 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))>
18.075 * * * * [progress]: [ 13 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))))>
18.075 * * * * [progress]: [ 14 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
18.075 * * * * [progress]: [ 15 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.075 * * * * [progress]: [ 16 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.075 * * * * [progress]: [ 17 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.075 * * * * [progress]: [ 18 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1))))>
18.075 * * * * [progress]: [ 19 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 20 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 21 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 22 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 23 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 24 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.075 * * * * [progress]: [ 25 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.075 * * * * [progress]: [ 26 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.075 * * * * [progress]: [ 27 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 28 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 29 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 30 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 31 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 32 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 33 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 34 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 35 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 36 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 37 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 38 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 39 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 40 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 41 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 42 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))))))>
18.076 * * * * [progress]: [ 43 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 44 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 45 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 46 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 47 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- 1/2)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 48 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) (- 1)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 49 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- (/ 1 2))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 50 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 51 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
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18.077 * * * * [progress]: [ 53 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log 1) (log (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 54 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 55 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 56 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 57 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 58 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 59 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.077 * * * * [progress]: [ 60 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (- 1) (- (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 61 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 62 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 63 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 64 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 65 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 66 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 67 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 68 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 69 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 70 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 71 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 72 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 73 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 74 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.078 * * * * [progress]: [ 75 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 76 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 77 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 78 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 1) (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 79 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 80 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 81 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 82 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 83 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 84 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 85 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt 1)) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 86 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 87 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 88 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.079 * * * * [progress]: [ 89 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.080 * * * * [progress]: [ 90 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.080 * * * * [progress]: [ 91 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.080 * * * * [progress]: [ 92 / 804 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))>
18.080 * * * * [progress]: [ 93 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 94 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 95 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 96 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 97 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.080 * * * * [progress]: [ 98 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 99 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 100 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 101 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 102 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.080 * * * * [progress]: [ 103 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.080 * * * * [progress]: [ 104 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 105 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 106 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 107 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.081 * * * * [progress]: [ 108 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.081 * * * * [progress]: [ 109 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 110 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 111 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 112 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 113 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.081 * * * * [progress]: [ 114 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 115 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 116 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 117 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.081 * * * * [progress]: [ 118 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.081 * * * * [progress]: [ 119 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 120 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 121 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 122 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 123 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.082 * * * * [progress]: [ 124 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- 0 (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.082 * * * * [progress]: [ 125 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 126 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 127 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 128 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 129 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.082 * * * * [progress]: [ 130 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 131 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 132 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 133 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.082 * * * * [progress]: [ 134 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.083 * * * * [progress]: [ 135 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 136 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 137 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 138 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 139 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.083 * * * * [progress]: [ 140 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log 1) (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.083 * * * * [progress]: [ 141 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 142 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 143 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
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18.083 * * * * [progress]: [ 145 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.083 * * * * [progress]: [ 146 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 147 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 148 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 149 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.083 * * * * [progress]: [ 150 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 151 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))))>
18.084 * * * * [progress]: [ 152 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.084 * * * * [progress]: [ 153 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.084 * * * * [progress]: [ 154 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))))>
18.084 * * * * [progress]: [ 155 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 156 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 157 / 804 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 158 / 804 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 159 / 804 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 160 / 804 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 161 / 804 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 162 / 804 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 163 / 804 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 164 / 804 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.084 * * * * [progress]: [ 165 / 804 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.085 * * * * [progress]: [ 166 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ 1 (sqrt k))) (- (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.085 * * * * [progress]: [ 167 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.085 * * * * [progress]: [ 168 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.085 * * * * [progress]: [ 169 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.085 * * * * [progress]: [ 170 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.085 * * * * [progress]: [ 171 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.085 * * * * [progress]: [ 172 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.085 * * * * [progress]: [ 173 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.085 * * * * [progress]: [ 174 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.085 * * * * [progress]: [ 175 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.085 * * * * [progress]: [ 176 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.085 * * * * [progress]: [ 177 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.085 * * * * [progress]: [ 178 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 179 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.086 * * * * [progress]: [ 180 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.086 * * * * [progress]: [ 181 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 182 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.086 * * * * [progress]: [ 183 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.086 * * * * [progress]: [ 184 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.086 * * * * [progress]: [ 185 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 186 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.086 * * * * [progress]: [ 187 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.086 * * * * [progress]: [ 188 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 1)) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 189 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.086 * * * * [progress]: [ 190 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 191 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.086 * * * * [progress]: [ 192 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.087 * * * * [progress]: [ 193 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.087 * * * * [progress]: [ 194 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.087 * * * * [progress]: [ 195 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.087 * * * * [progress]: [ 196 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.087 * * * * [progress]: [ 197 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.087 * * * * [progress]: [ 198 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.087 * * * * [progress]: [ 199 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.087 * * * * [progress]: [ 200 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.087 * * * * [progress]: [ 201 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.087 * * * * [progress]: [ 202 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.087 * * * * [progress]: [ 203 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.087 * * * * [progress]: [ 204 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.087 * * * * [progress]: [ 205 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.087 * * * * [progress]: [ 206 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.088 * * * * [progress]: [ 207 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) 1)) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.088 * * * * [progress]: [ 208 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.088 * * * * [progress]: [ 209 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.088 * * * * [progress]: [ 210 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.088 * * * * [progress]: [ 211 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.088 * * * * [progress]: [ 212 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.088 * * * * [progress]: [ 213 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.088 * * * * [progress]: [ 214 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 1)) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.088 * * * * [progress]: [ 215 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.088 * * * * [progress]: [ 216 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.088 * * * * [progress]: [ 217 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.088 * * * * [progress]: [ 218 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.088 * * * * [progress]: [ 219 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.088 * * * * [progress]: [ 220 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.089 * * * * [progress]: [ 221 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.089 * * * * [progress]: [ 222 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.089 * * * * [progress]: [ 223 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.089 * * * * [progress]: [ 224 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.089 * * * * [progress]: [ 225 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.089 * * * * [progress]: [ 226 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.089 * * * * [progress]: [ 227 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.089 * * * * [progress]: [ 228 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.089 * * * * [progress]: [ 229 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.089 * * * * [progress]: [ 230 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.089 * * * * [progress]: [ 231 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.089 * * * * [progress]: [ 232 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.089 * * * * [progress]: [ 233 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.090 * * * * [progress]: [ 234 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.090 * * * * [progress]: [ 235 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.090 * * * * [progress]: [ 236 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.090 * * * * [progress]: [ 237 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.090 * * * * [progress]: [ 238 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.090 * * * * [progress]: [ 239 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.090 * * * * [progress]: [ 240 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.090 * * * * [progress]: [ 241 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.090 * * * * [progress]: [ 242 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.090 * * * * [progress]: [ 243 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.090 * * * * [progress]: [ 244 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.090 * * * * [progress]: [ 245 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.090 * * * * [progress]: [ 246 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.091 * * * * [progress]: [ 247 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.091 * * * * [progress]: [ 248 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.091 * * * * [progress]: [ 249 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.091 * * * * [progress]: [ 250 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.091 * * * * [progress]: [ 251 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.091 * * * * [progress]: [ 252 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.091 * * * * [progress]: [ 253 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.091 * * * * [progress]: [ 254 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.091 * * * * [progress]: [ 255 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.091 * * * * [progress]: [ 256 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.091 * * * * [progress]: [ 257 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.091 * * * * [progress]: [ 258 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.091 * * * * [progress]: [ 259 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.092 * * * * [progress]: [ 260 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.092 * * * * [progress]: [ 261 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.092 * * * * [progress]: [ 262 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.092 * * * * [progress]: [ 263 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.092 * * * * [progress]: [ 264 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.092 * * * * [progress]: [ 265 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.092 * * * * [progress]: [ 266 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.092 * * * * [progress]: [ 267 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.092 * * * * [progress]: [ 268 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.092 * * * * [progress]: [ 269 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (cbrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.092 * * * * [progress]: [ 270 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (cbrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.092 * * * * [progress]: [ 271 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.092 * * * * [progress]: [ 272 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.093 * * * * [progress]: [ 273 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.093 * * * * [progress]: [ 274 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.093 * * * * [progress]: [ 275 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.093 * * * * [progress]: [ 276 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.093 * * * * [progress]: [ 277 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.093 * * * * [progress]: [ 278 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.093 * * * * [progress]: [ 279 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.093 * * * * [progress]: [ 280 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.093 * * * * [progress]: [ 281 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.093 * * * * [progress]: [ 282 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.093 * * * * [progress]: [ 283 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.094 * * * * [progress]: [ 284 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.094 * * * * [progress]: [ 285 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.094 * * * * [progress]: [ 286 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.094 * * * * [progress]: [ 287 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.094 * * * * [progress]: [ 288 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.094 * * * * [progress]: [ 289 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.094 * * * * [progress]: [ 290 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.094 * * * * [progress]: [ 291 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.094 * * * * [progress]: [ 292 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.094 * * * * [progress]: [ 293 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.094 * * * * [progress]: [ 294 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.094 * * * * [progress]: [ 295 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.094 * * * * [progress]: [ 296 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.095 * * * * [progress]: [ 297 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.095 * * * * [progress]: [ 298 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.095 * * * * [progress]: [ 299 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.095 * * * * [progress]: [ 300 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.095 * * * * [progress]: [ 301 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.095 * * * * [progress]: [ 302 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.095 * * * * [progress]: [ 303 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.095 * * * * [progress]: [ 304 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.095 * * * * [progress]: [ 305 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.095 * * * * [progress]: [ 306 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.095 * * * * [progress]: [ 307 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.095 * * * * [progress]: [ 308 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.095 * * * * [progress]: [ 309 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.096 * * * * [progress]: [ 310 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.096 * * * * [progress]: [ 311 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.096 * * * * [progress]: [ 312 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.096 * * * * [progress]: [ 313 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.096 * * * * [progress]: [ 314 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.096 * * * * [progress]: [ 315 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.096 * * * * [progress]: [ 316 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.096 * * * * [progress]: [ 317 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.096 * * * * [progress]: [ 318 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 1)) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.096 * * * * [progress]: [ 319 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.096 * * * * [progress]: [ 320 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.096 * * * * [progress]: [ 321 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.096 * * * * [progress]: [ 322 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.096 * * * * [progress]: [ 323 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.097 * * * * [progress]: [ 324 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.097 * * * * [progress]: [ 325 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.097 * * * * [progress]: [ 326 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.097 * * * * [progress]: [ 327 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.097 * * * * [progress]: [ 328 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.097 * * * * [progress]: [ 329 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.097 * * * * [progress]: [ 330 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.097 * * * * [progress]: [ 331 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.097 * * * * [progress]: [ 332 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.097 * * * * [progress]: [ 333 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.097 * * * * [progress]: [ 334 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.097 * * * * [progress]: [ 335 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.097 * * * * [progress]: [ 336 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.098 * * * * [progress]: [ 337 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.098 * * * * [progress]: [ 338 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.098 * * * * [progress]: [ 339 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.098 * * * * [progress]: [ 340 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.098 * * * * [progress]: [ 341 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.098 * * * * [progress]: [ 342 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.098 * * * * [progress]: [ 343 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.098 * * * * [progress]: [ 344 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.098 * * * * [progress]: [ 345 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.098 * * * * [progress]: [ 346 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.098 * * * * [progress]: [ 347 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) 1) (/ (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.098 * * * * [progress]: [ 348 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.099 * * * * [progress]: [ 349 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.099 * * * * [progress]: [ 350 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.099 * * * * [progress]: [ 351 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.099 * * * * [progress]: [ 352 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.099 * * * * [progress]: [ 353 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.099 * * * * [progress]: [ 354 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.099 * * * * [progress]: [ 355 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.099 * * * * [progress]: [ 356 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.099 * * * * [progress]: [ 357 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.099 * * * * [progress]: [ 358 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.099 * * * * [progress]: [ 359 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.100 * * * * [progress]: [ 360 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.100 * * * * [progress]: [ 361 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.100 * * * * [progress]: [ 362 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.100 * * * * [progress]: [ 363 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) 1)) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.100 * * * * [progress]: [ 364 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.100 * * * * [progress]: [ 365 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.100 * * * * [progress]: [ 366 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.100 * * * * [progress]: [ 367 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.100 * * * * [progress]: [ 368 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.100 * * * * [progress]: [ 369 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.100 * * * * [progress]: [ 370 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 1)) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.100 * * * * [progress]: [ 371 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.100 * * * * [progress]: [ 372 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.101 * * * * [progress]: [ 373 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) 1) (/ (/ (cbrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.101 * * * * [progress]: [ 374 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (cbrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.101 * * * * [progress]: [ 375 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.101 * * * * [progress]: [ 376 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.101 * * * * [progress]: [ 377 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.101 * * * * [progress]: [ 378 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.101 * * * * [progress]: [ 379 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.101 * * * * [progress]: [ 380 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.101 * * * * [progress]: [ 381 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.101 * * * * [progress]: [ 382 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.101 * * * * [progress]: [ 383 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.101 * * * * [progress]: [ 384 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.101 * * * * [progress]: [ 385 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.101 * * * * [progress]: [ 386 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.102 * * * * [progress]: [ 387 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.102 * * * * [progress]: [ 388 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.102 * * * * [progress]: [ 389 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.102 * * * * [progress]: [ 390 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.102 * * * * [progress]: [ 391 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.102 * * * * [progress]: [ 392 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.102 * * * * [progress]: [ 393 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.102 * * * * [progress]: [ 394 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.102 * * * * [progress]: [ 395 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.102 * * * * [progress]: [ 396 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.102 * * * * [progress]: [ 397 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.102 * * * * [progress]: [ 398 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.102 * * * * [progress]: [ 399 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ (sqrt 1) (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.103 * * * * [progress]: [ 400 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.103 * * * * [progress]: [ 401 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.103 * * * * [progress]: [ 402 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.103 * * * * [progress]: [ 403 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.103 * * * * [progress]: [ 404 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.103 * * * * [progress]: [ 405 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.103 * * * * [progress]: [ 406 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.103 * * * * [progress]: [ 407 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.103 * * * * [progress]: [ 408 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.103 * * * * [progress]: [ 409 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.103 * * * * [progress]: [ 410 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.103 * * * * [progress]: [ 411 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.103 * * * * [progress]: [ 412 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 413 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.104 * * * * [progress]: [ 414 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.104 * * * * [progress]: [ 415 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 416 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.104 * * * * [progress]: [ 417 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.104 * * * * [progress]: [ 418 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.104 * * * * [progress]: [ 419 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 420 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.104 * * * * [progress]: [ 421 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.104 * * * * [progress]: [ 422 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 423 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.104 * * * * [progress]: [ 424 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 425 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ (sqrt 1) (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.104 * * * * [progress]: [ 426 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (cbrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.105 * * * * [progress]: [ 427 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.105 * * * * [progress]: [ 428 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.105 * * * * [progress]: [ 429 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.105 * * * * [progress]: [ 430 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.105 * * * * [progress]: [ 431 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.105 * * * * [progress]: [ 432 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.105 * * * * [progress]: [ 433 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.105 * * * * [progress]: [ 434 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.105 * * * * [progress]: [ 435 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.105 * * * * [progress]: [ 436 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.105 * * * * [progress]: [ 437 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.105 * * * * [progress]: [ 438 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.105 * * * * [progress]: [ 439 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.106 * * * * [progress]: [ 440 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.106 * * * * [progress]: [ 441 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.106 * * * * [progress]: [ 442 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.106 * * * * [progress]: [ 443 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.106 * * * * [progress]: [ 444 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.106 * * * * [progress]: [ 445 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.106 * * * * [progress]: [ 446 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.106 * * * * [progress]: [ 447 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.106 * * * * [progress]: [ 448 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.106 * * * * [progress]: [ 449 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.106 * * * * [progress]: [ 450 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.106 * * * * [progress]: [ 451 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.106 * * * * [progress]: [ 452 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.106 * * * * [progress]: [ 453 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 454 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 455 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.107 * * * * [progress]: [ 456 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.107 * * * * [progress]: [ 457 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.107 * * * * [progress]: [ 458 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 459 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 460 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.107 * * * * [progress]: [ 461 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.107 * * * * [progress]: [ 462 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.107 * * * * [progress]: [ 463 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.107 * * * * [progress]: [ 464 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.107 * * * * [progress]: [ 465 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 466 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.107 * * * * [progress]: [ 467 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.108 * * * * [progress]: [ 468 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.108 * * * * [progress]: [ 469 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.108 * * * * [progress]: [ 470 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.108 * * * * [progress]: [ 471 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.108 * * * * [progress]: [ 472 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.108 * * * * [progress]: [ 473 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.108 * * * * [progress]: [ 474 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 1)) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.108 * * * * [progress]: [ 475 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.108 * * * * [progress]: [ 476 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.108 * * * * [progress]: [ 477 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.108 * * * * [progress]: [ 478 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.108 * * * * [progress]: [ 479 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.108 * * * * [progress]: [ 480 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.108 * * * * [progress]: [ 481 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.109 * * * * [progress]: [ 482 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.109 * * * * [progress]: [ 483 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.109 * * * * [progress]: [ 484 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.109 * * * * [progress]: [ 485 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.109 * * * * [progress]: [ 486 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.109 * * * * [progress]: [ 487 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.109 * * * * [progress]: [ 488 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.109 * * * * [progress]: [ 489 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.109 * * * * [progress]: [ 490 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.109 * * * * [progress]: [ 491 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.109 * * * * [progress]: [ 492 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.109 * * * * [progress]: [ 493 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.109 * * * * [progress]: [ 494 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.110 * * * * [progress]: [ 495 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.110 * * * * [progress]: [ 496 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.110 * * * * [progress]: [ 497 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.110 * * * * [progress]: [ 498 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.110 * * * * [progress]: [ 499 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.110 * * * * [progress]: [ 500 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.110 * * * * [progress]: [ 501 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.110 * * * * [progress]: [ 502 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.110 * * * * [progress]: [ 503 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) 1) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.110 * * * * [progress]: [ 504 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.110 * * * * [progress]: [ 505 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.110 * * * * [progress]: [ 506 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.110 * * * * [progress]: [ 507 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.110 * * * * [progress]: [ 508 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.111 * * * * [progress]: [ 509 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.111 * * * * [progress]: [ 510 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.111 * * * * [progress]: [ 511 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.111 * * * * [progress]: [ 512 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.111 * * * * [progress]: [ 513 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.111 * * * * [progress]: [ 514 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.111 * * * * [progress]: [ 515 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.111 * * * * [progress]: [ 516 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.111 * * * * [progress]: [ 517 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.111 * * * * [progress]: [ 518 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.111 * * * * [progress]: [ 519 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) 1)) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.111 * * * * [progress]: [ 520 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.111 * * * * [progress]: [ 521 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.111 * * * * [progress]: [ 522 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.112 * * * * [progress]: [ 523 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.112 * * * * [progress]: [ 524 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.112 * * * * [progress]: [ 525 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.112 * * * * [progress]: [ 526 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 1)) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.112 * * * * [progress]: [ 527 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.112 * * * * [progress]: [ 528 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.112 * * * * [progress]: [ 529 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) 1) (/ (/ (sqrt 1) (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.112 * * * * [progress]: [ 530 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt 1) 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ (sqrt 1) (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.112 * * * * [progress]: [ 531 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (cbrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.112 * * * * [progress]: [ 532 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (cbrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.112 * * * * [progress]: [ 533 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.112 * * * * [progress]: [ 534 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.112 * * * * [progress]: [ 535 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.112 * * * * [progress]: [ 536 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.113 * * * * [progress]: [ 537 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.113 * * * * [progress]: [ 538 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.113 * * * * [progress]: [ 539 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.113 * * * * [progress]: [ 540 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.113 * * * * [progress]: [ 541 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.113 * * * * [progress]: [ 542 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.113 * * * * [progress]: [ 543 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.113 * * * * [progress]: [ 544 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.113 * * * * [progress]: [ 545 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) 1)) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.113 * * * * [progress]: [ 546 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.113 * * * * [progress]: [ 547 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.113 * * * * [progress]: [ 548 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.114 * * * * [progress]: [ 549 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.114 * * * * [progress]: [ 550 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.114 * * * * [progress]: [ 551 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.114 * * * * [progress]: [ 552 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 1)) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.114 * * * * [progress]: [ 553 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.114 * * * * [progress]: [ 554 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.114 * * * * [progress]: [ 555 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) (/ (/ 1 (cbrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.114 * * * * [progress]: [ 556 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (cbrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.114 * * * * [progress]: [ 557 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (cbrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.114 * * * * [progress]: [ 558 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (cbrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.115 * * * * [progress]: [ 559 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.115 * * * * [progress]: [ 560 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.115 * * * * [progress]: [ 561 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.115 * * * * [progress]: [ 562 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.115 * * * * [progress]: [ 563 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.115 * * * * [progress]: [ 564 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.115 * * * * [progress]: [ 565 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.115 * * * * [progress]: [ 566 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.115 * * * * [progress]: [ 567 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.115 * * * * [progress]: [ 568 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.115 * * * * [progress]: [ 569 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.115 * * * * [progress]: [ 570 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.115 * * * * [progress]: [ 571 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.116 * * * * [progress]: [ 572 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.116 * * * * [progress]: [ 573 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.116 * * * * [progress]: [ 574 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.116 * * * * [progress]: [ 575 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.116 * * * * [progress]: [ 576 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.116 * * * * [progress]: [ 577 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.116 * * * * [progress]: [ 578 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 1)) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.116 * * * * [progress]: [ 579 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.116 * * * * [progress]: [ 580 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.116 * * * * [progress]: [ 581 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) 1) (/ (/ 1 (sqrt (cbrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.116 * * * * [progress]: [ 582 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (cbrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.116 * * * * [progress]: [ 583 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.116 * * * * [progress]: [ 584 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.116 * * * * [progress]: [ 585 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.117 * * * * [progress]: [ 586 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.117 * * * * [progress]: [ 587 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.117 * * * * [progress]: [ 588 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.117 * * * * [progress]: [ 589 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.117 * * * * [progress]: [ 590 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.117 * * * * [progress]: [ 591 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.117 * * * * [progress]: [ 592 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.117 * * * * [progress]: [ 593 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.117 * * * * [progress]: [ 594 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.117 * * * * [progress]: [ 595 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.117 * * * * [progress]: [ 596 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.117 * * * * [progress]: [ 597 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.117 * * * * [progress]: [ 598 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.117 * * * * [progress]: [ 599 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.118 * * * * [progress]: [ 600 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.118 * * * * [progress]: [ 601 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.118 * * * * [progress]: [ 602 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.118 * * * * [progress]: [ 603 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.118 * * * * [progress]: [ 604 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.118 * * * * [progress]: [ 605 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.118 * * * * [progress]: [ 606 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.118 * * * * [progress]: [ 607 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.118 * * * * [progress]: [ 608 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.118 * * * * [progress]: [ 609 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.118 * * * * [progress]: [ 610 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.118 * * * * [progress]: [ 611 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.118 * * * * [progress]: [ 612 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.119 * * * * [progress]: [ 613 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.119 * * * * [progress]: [ 614 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.119 * * * * [progress]: [ 615 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.119 * * * * [progress]: [ 616 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.119 * * * * [progress]: [ 617 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.119 * * * * [progress]: [ 618 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.119 * * * * [progress]: [ 619 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.119 * * * * [progress]: [ 620 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.119 * * * * [progress]: [ 621 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.119 * * * * [progress]: [ 622 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.119 * * * * [progress]: [ 623 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.119 * * * * [progress]: [ 624 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.119 * * * * [progress]: [ 625 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.119 * * * * [progress]: [ 626 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.120 * * * * [progress]: [ 627 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.120 * * * * [progress]: [ 628 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.120 * * * * [progress]: [ 629 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.120 * * * * [progress]: [ 630 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.120 * * * * [progress]: [ 631 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.120 * * * * [progress]: [ 632 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.120 * * * * [progress]: [ 633 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.120 * * * * [progress]: [ 634 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.120 * * * * [progress]: [ 635 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.120 * * * * [progress]: [ 636 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.120 * * * * [progress]: [ 637 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.120 * * * * [progress]: [ 638 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.120 * * * * [progress]: [ 639 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.120 * * * * [progress]: [ 640 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.120 * * * * [progress]: [ 641 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.121 * * * * [progress]: [ 642 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.121 * * * * [progress]: [ 643 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.121 * * * * [progress]: [ 644 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.121 * * * * [progress]: [ 645 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.121 * * * * [progress]: [ 646 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.121 * * * * [progress]: [ 647 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.121 * * * * [progress]: [ 648 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.121 * * * * [progress]: [ 649 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.121 * * * * [progress]: [ 650 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.121 * * * * [progress]: [ 651 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.121 * * * * [progress]: [ 652 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.121 * * * * [progress]: [ 653 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.122 * * * * [progress]: [ 654 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.122 * * * * [progress]: [ 655 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.122 * * * * [progress]: [ 656 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.122 * * * * [progress]: [ 657 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.122 * * * * [progress]: [ 658 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.122 * * * * [progress]: [ 659 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) 1) (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.122 * * * * [progress]: [ 660 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))>
18.122 * * * * [progress]: [ 661 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.122 * * * * [progress]: [ 662 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.122 * * * * [progress]: [ 663 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.123 * * * * [progress]: [ 664 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.123 * * * * [progress]: [ 665 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.123 * * * * [progress]: [ 666 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.123 * * * * [progress]: [ 667 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.123 * * * * [progress]: [ 668 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.123 * * * * [progress]: [ 669 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.123 * * * * [progress]: [ 670 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.123 * * * * [progress]: [ 671 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.123 * * * * [progress]: [ 672 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.123 * * * * [progress]: [ 673 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.123 * * * * [progress]: [ 674 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.123 * * * * [progress]: [ 675 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.123 * * * * [progress]: [ 676 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.124 * * * * [progress]: [ 677 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.124 * * * * [progress]: [ 678 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.124 * * * * [progress]: [ 679 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.124 * * * * [progress]: [ 680 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.124 * * * * [progress]: [ 681 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.124 * * * * [progress]: [ 682 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.124 * * * * [progress]: [ 683 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.124 * * * * [progress]: [ 684 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.124 * * * * [progress]: [ 685 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.124 * * * * [progress]: [ 686 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.124 * * * * [progress]: [ 687 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.124 * * * * [progress]: [ 688 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.124 * * * * [progress]: [ 689 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.124 * * * * [progress]: [ 690 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.124 * * * * [progress]: [ 691 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.125 * * * * [progress]: [ 692 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.125 * * * * [progress]: [ 693 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.125 * * * * [progress]: [ 694 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.125 * * * * [progress]: [ 695 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.125 * * * * [progress]: [ 696 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.125 * * * * [progress]: [ 697 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.125 * * * * [progress]: [ 698 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.125 * * * * [progress]: [ 699 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.125 * * * * [progress]: [ 700 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.125 * * * * [progress]: [ 701 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.125 * * * * [progress]: [ 702 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.125 * * * * [progress]: [ 703 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.125 * * * * [progress]: [ 704 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.125 * * * * [progress]: [ 705 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.126 * * * * [progress]: [ 706 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 707 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 708 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.126 * * * * [progress]: [ 709 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.126 * * * * [progress]: [ 710 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.126 * * * * [progress]: [ 711 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.126 * * * * [progress]: [ 712 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.126 * * * * [progress]: [ 713 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 714 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 715 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.126 * * * * [progress]: [ 716 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.126 * * * * [progress]: [ 717 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.126 * * * * [progress]: [ 718 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 719 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.126 * * * * [progress]: [ 720 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.127 * * * * [progress]: [ 721 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.127 * * * * [progress]: [ 722 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.127 * * * * [progress]: [ 723 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.127 * * * * [progress]: [ 724 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.127 * * * * [progress]: [ 725 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.127 * * * * [progress]: [ 726 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.127 * * * * [progress]: [ 727 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) 1)) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.127 * * * * [progress]: [ 728 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.127 * * * * [progress]: [ 729 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.127 * * * * [progress]: [ 730 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))))>
18.127 * * * * [progress]: [ 731 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))))>
18.127 * * * * [progress]: [ 732 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.127 * * * * [progress]: [ 733 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.127 * * * * [progress]: [ 734 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 1)) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.127 * * * * [progress]: [ 735 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))))>
18.128 * * * * [progress]: [ 736 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 737 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 738 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))))>
18.128 * * * * [progress]: [ 739 / 804 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 740 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 741 / 804 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
18.128 * * * * [progress]: [ 742 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 743 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 744 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.128 * * * * [progress]: [ 745 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.128 * * * * [progress]: [ 746 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
18.128 * * * * [progress]: [ 747 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 748 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.128 * * * * [progress]: [ 749 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) 1)) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.129 * * * * [progress]: [ 750 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
18.129 * * * * [progress]: [ 751 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.129 * * * * [progress]: [ 752 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.129 * * * * [progress]: [ 753 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
18.129 * * * * [progress]: [ 754 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.129 * * * * [progress]: [ 755 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.129 * * * * [progress]: [ 756 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.129 * * * * [progress]: [ 757 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
18.129 * * * * [progress]: [ 758 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.129 * * * * [progress]: [ 759 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2))))))>
18.129 * * * * [progress]: [ 760 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2))))))>
18.129 * * * * [progress]: [ 761 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.129 * * * * [progress]: [ 762 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
18.129 * * * * [progress]: [ 763 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 1)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.129 * * * * [progress]: [ 764 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)))))>
18.130 * * * * [progress]: [ 765 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.130 * * * * [progress]: [ 766 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.130 * * * * [progress]: [ 767 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2))) (pow (* n (* 2 PI)) (/ k 2))))>
18.130 * * * * [progress]: [ 768 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k))))))>
18.130 * * * * [progress]: [ 769 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))>
18.130 * * * * [progress]: [ 770 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (cbrt (sqrt k))))))>
18.130 * * * * [progress]: [ 771 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (cbrt k))))))>
18.130 * * * * [progress]: [ 772 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (sqrt k))))))>
18.130 * * * * [progress]: [ 773 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt k)))))>
18.130 * * * * [progress]: [ 774 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (sqrt k))))))>
18.130 * * * * [progress]: [ 775 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt 1) (cbrt 1)) 1) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt k)))))>
18.130 * * * * [progress]: [ 776 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (cbrt (sqrt k))))))>
18.130 * * * * [progress]: [ 777 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (cbrt k))))))>
18.130 * * * * [progress]: [ 778 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))))>
18.130 * * * * [progress]: [ 779 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt 1)) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt k)))))>
18.131 * * * * [progress]: [ 780 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))))>
18.131 * * * * [progress]: [ 781 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt 1) 1) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt k)))))>
18.131 * * * * [progress]: [ 782 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (cbrt (sqrt k))))))>
18.131 * * * * [progress]: [ 783 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (cbrt k))))))>
18.131 * * * * [progress]: [ 784 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))))>
18.131 * * * * [progress]: [ 785 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt 1)) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
18.131 * * * * [progress]: [ 786 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt k))) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))))>
18.131 * * * * [progress]: [ 787 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
18.131 * * * * [progress]: [ 788 / 804 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
18.131 * * * * [progress]: [ 789 / 804 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
18.131 * * * * [progress]: [ 790 / 804 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))>
18.131 * * * * [progress]: [ 791 / 804 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))>
18.131 * * * * [progress]: [ 792 / 804 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))>
18.131 * * * * [progress]: [ 793 / 804 ] 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))))))))>
18.131 * * * * [progress]: [ 794 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
18.132 * * * * [progress]: [ 795 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
18.132 * * * * [progress]: [ 796 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 797 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 798 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 799 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 800 / 804 ] 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 (* 2 PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 801 / 804 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
18.132 * * * * [progress]: [ 802 / 804 ] 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))))))))))))))>
18.132 * * * * [progress]: [ 803 / 804 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
18.132 * * * * [progress]: [ 804 / 804 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
18.167 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- 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)))
  (- (- (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- 0 (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- 0 (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- 0 (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (- (log 1) (log (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (- (log 1) (log (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- 0 (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- 0 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- 0 (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (log 1) (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (log 1) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))))
  (- (log (/ 1 (sqrt k))) (- (log 1) (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (/ (* (* 1 1) 1) (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (cbrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (* (* (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (sqrt (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (- (/ 1 (sqrt k)))
  (- (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2)))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (cbrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) 1))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 1))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
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  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ (sqrt 1) 1))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- (/ k 2)))))
  (/ 1 (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 PI) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (/ 1 (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ 1 (/ 1 1))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ 1 1)
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 1)
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))
  (/ 1 (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow n (- 1/2 (/ k 2)))))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) 1))
  (/ (/ 1 (sqrt k)) (/ (* (cbrt 1) (cbrt 1)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow n (- 1/2 (/ k 2)))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) 1))
  (/ (/ 1 (sqrt k)) (/ (sqrt 1) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (sqrt k)) (/ 1 (pow n (- 1/2 (/ k 2)))))
  (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))
  (/ (/ 1 (sqrt k)) (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
  (/ (/ 1 (sqrt k)) (/ 1 1))
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))))
  (/ (/ 1 (sqrt k)) 1)
  (/ (/ 1 (sqrt k)) 1)
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) 1/2)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (cbrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (cbrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (cbrt 1) (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (cbrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (cbrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (cbrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (cbrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k))))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (sqrt k)) 1)
  (* (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))
  (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (- (+ (* +nan.0 (* (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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
18.214 * * [simplify]: iteration 1: (1060 enodes)
33.885 * * [simplify]: Extracting #0: cost 189 inf + 0
33.891 * * [simplify]: Extracting #1: cost 812 inf + 3
33.897 * * [simplify]: Extracting #2: cost 834 inf + 3667
33.909 * * [simplify]: Extracting #3: cost 715 inf + 33348
33.938 * * [simplify]: Extracting #4: cost 456 inf + 108843
33.994 * * [simplify]: Extracting #5: cost 230 inf + 198635
34.045 * * [simplify]: Extracting #6: cost 80 inf + 282713
34.092 * * [simplify]: Extracting #7: cost 25 inf + 312192
34.170 * * [simplify]: Extracting #8: cost 6 inf + 326410
34.249 * * [simplify]: Extracting #9: cost 2 inf + 328772
34.327 * * [simplify]: Extracting #10: cost 0 inf + 330206
34.403 * [simplify]: Simplified to:
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))
  (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (exp (* (* PI 2) n))
  (* (* n n) (* n (* (* 8 (* PI PI)) PI)))
  (* (* (* n (* n n)) (* (* PI 2) (* PI 2))) (* PI 2))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  -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))) (/ 1 (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))) (/ 1 (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))) (/ 1 (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))) (/ 1 (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)))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (* (log (* (* PI 2) n)) (- (- 1/2 (/ k 2)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (- (- (log (sqrt k))) (- (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (/ (/ 1 k) (sqrt k)) 1) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (/ (/ 1 k) (sqrt k)) (* (* (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (* (/ (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))) 1) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (/ (* (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (/ 1 (sqrt k)))) (* (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ -1 (sqrt k))
  (/ -1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (sqrt (* (* PI 2) n))))
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  (/ 1 (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k)))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (pow n (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (pow n (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (/ 1 (sqrt k)) 1) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (sqrt (* (* PI 2) n))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- (/ k 2))))
  (pow n (- 1/2 (/ k 2)))
  (* (/ 1 (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ 1 (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (* (* PI 2) n))
  (/ 1 (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (/ 1 (* (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (sqrt k)))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (pow n (- 1/2 (/ k 2))))
  (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (pow n (- 1/2 (/ k 2))))
  (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (* (/ (/ 1 (sqrt k)) 1) (pow n (- 1/2 (/ k 2))))
  (/ (/ 1 (sqrt k)) (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ 1 (sqrt k))
  (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/4 (/ (/ k 2) 2))))
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (* (/ (/ 1 (sqrt k)) 1) (sqrt (* (* PI 2) n)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k))))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (cbrt (sqrt k))))
  (/ 1 (* (/ 1 (sqrt (cbrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (* (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))
  (/ 1 (sqrt k))
  (/ (* 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (+ (* (* 1/4 (log (* PI 2))) (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (log n)) (* k k))) (- (+ (* (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (* (log n) (log n))) (* k k)) 1/8) (+ (exp (* (log (* (* PI 2) n)) 1/2)) (* (* (* (* k k) (exp (* (log (* (* PI 2) n)) 1/2))) (* (log (* PI 2)) (log (* PI 2)))) 1/8))) (* 1/2 (+ (* (* (exp (* (log (* (* PI 2) n)) 1/2)) (log n)) k) (* (* (log (* PI 2)) (exp (* (log (* (* PI 2) n)) 1/2))) k)))))
  (exp (* (- (log (* PI 2)) (- (log n))) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (- (* (* k k) +nan.0) (- +nan.0 (* +nan.0 k))))
  (- (- (* (/ 1 (* k k)) +nan.0) (- (* +nan.0 (/ 1 k)) (/ (* +nan.0 1) (* k (* k k))))))
  (- (- (* (/ 1 (* k k)) +nan.0) (- (* +nan.0 (/ 1 k)) +nan.0)))
  (- (- (* (* +nan.0 (sqrt 2)) (* (* PI n) k)) (- (* (* +nan.0 (sqrt 2)) (* PI n)) (- (* (* +nan.0 (log (* PI 2))) (* (* (* PI n) k) (sqrt 2))) (- (* (* +nan.0 (sqrt 2)) (* (* PI n) (* (log n) k))) (* (* +nan.0 (sqrt 2)) (* (* n n) (* PI PI))))))))
  (- (- (* (/ (exp (* (- (log (* PI 2)) (- (log n))) (- 1/2 (* k 1/2)))) (* k (* k k))) +nan.0) (- (/ (* +nan.0 (exp (* (- (log (* PI 2)) (- (log n))) (- 1/2 (* k 1/2))))) k) (* +nan.0 (/ (exp (* (- (log (* PI 2)) (- (log n))) (- 1/2 (* k 1/2)))) (* k k))))))
  (- (- (/ (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0) k) (- (/ (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0) (* k k)) (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0))))
34.576 * * * [progress]: adding candidates to table
45.248 * * [progress]: iteration 4 / 4
45.248 * * * [progress]: picking best candidate
45.274 * * * * [pick]: Picked  #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
45.274 * * * [progress]: localizing error
45.308 * * * [progress]: generating rewritten candidates
45.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
45.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
45.359 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
45.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1)
45.412 * * * [progress]: generating series expansions
45.412 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
45.413 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
45.413 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
45.413 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
45.413 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
45.413 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
45.413 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.413 * [taylor]: Taking taylor expansion of 1/2 in k
45.413 * [backup-simplify]: Simplify 1/2 into 1/2
45.413 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.413 * [taylor]: Taking taylor expansion of 1/2 in k
45.413 * [backup-simplify]: Simplify 1/2 into 1/2
45.413 * [taylor]: Taking taylor expansion of k in k
45.413 * [backup-simplify]: Simplify 0 into 0
45.413 * [backup-simplify]: Simplify 1 into 1
45.413 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
45.413 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
45.413 * [taylor]: Taking taylor expansion of 2 in k
45.413 * [backup-simplify]: Simplify 2 into 2
45.414 * [taylor]: Taking taylor expansion of (* n PI) in k
45.414 * [taylor]: Taking taylor expansion of n in k
45.414 * [backup-simplify]: Simplify n into n
45.414 * [taylor]: Taking taylor expansion of PI in k
45.414 * [backup-simplify]: Simplify PI into PI
45.414 * [backup-simplify]: Simplify (* n PI) into (* n PI)
45.414 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
45.414 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
45.414 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.415 * [backup-simplify]: Simplify (- 0) into 0
45.415 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.415 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
45.416 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
45.416 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.416 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.416 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.416 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.416 * [taylor]: Taking taylor expansion of 1/2 in n
45.416 * [backup-simplify]: Simplify 1/2 into 1/2
45.416 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.416 * [taylor]: Taking taylor expansion of 1/2 in n
45.416 * [backup-simplify]: Simplify 1/2 into 1/2
45.416 * [taylor]: Taking taylor expansion of k in n
45.416 * [backup-simplify]: Simplify k into k
45.416 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.416 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.416 * [taylor]: Taking taylor expansion of 2 in n
45.416 * [backup-simplify]: Simplify 2 into 2
45.416 * [taylor]: Taking taylor expansion of (* n PI) in n
45.416 * [taylor]: Taking taylor expansion of n in n
45.416 * [backup-simplify]: Simplify 0 into 0
45.416 * [backup-simplify]: Simplify 1 into 1
45.416 * [taylor]: Taking taylor expansion of PI in n
45.416 * [backup-simplify]: Simplify PI into PI
45.417 * [backup-simplify]: Simplify (* 0 PI) into 0
45.417 * [backup-simplify]: Simplify (* 2 0) into 0
45.419 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.421 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.422 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.422 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.422 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.422 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.423 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.425 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.426 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.426 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.426 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.426 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.426 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.426 * [taylor]: Taking taylor expansion of 1/2 in n
45.426 * [backup-simplify]: Simplify 1/2 into 1/2
45.426 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.426 * [taylor]: Taking taylor expansion of 1/2 in n
45.426 * [backup-simplify]: Simplify 1/2 into 1/2
45.426 * [taylor]: Taking taylor expansion of k in n
45.426 * [backup-simplify]: Simplify k into k
45.426 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.426 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.426 * [taylor]: Taking taylor expansion of 2 in n
45.426 * [backup-simplify]: Simplify 2 into 2
45.426 * [taylor]: Taking taylor expansion of (* n PI) in n
45.426 * [taylor]: Taking taylor expansion of n in n
45.426 * [backup-simplify]: Simplify 0 into 0
45.426 * [backup-simplify]: Simplify 1 into 1
45.426 * [taylor]: Taking taylor expansion of PI in n
45.426 * [backup-simplify]: Simplify PI into PI
45.427 * [backup-simplify]: Simplify (* 0 PI) into 0
45.427 * [backup-simplify]: Simplify (* 2 0) into 0
45.429 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.430 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.431 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.432 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.432 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.432 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.433 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.434 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.435 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.436 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
45.436 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
45.436 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.436 * [taylor]: Taking taylor expansion of 1/2 in k
45.436 * [backup-simplify]: Simplify 1/2 into 1/2
45.436 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.436 * [taylor]: Taking taylor expansion of 1/2 in k
45.436 * [backup-simplify]: Simplify 1/2 into 1/2
45.436 * [taylor]: Taking taylor expansion of k in k
45.436 * [backup-simplify]: Simplify 0 into 0
45.436 * [backup-simplify]: Simplify 1 into 1
45.436 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
45.436 * [taylor]: Taking taylor expansion of (log n) in k
45.436 * [taylor]: Taking taylor expansion of n in k
45.436 * [backup-simplify]: Simplify n into n
45.436 * [backup-simplify]: Simplify (log n) into (log n)
45.436 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.436 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.436 * [taylor]: Taking taylor expansion of 2 in k
45.436 * [backup-simplify]: Simplify 2 into 2
45.436 * [taylor]: Taking taylor expansion of PI in k
45.436 * [backup-simplify]: Simplify PI into PI
45.437 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.438 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.439 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.439 * [backup-simplify]: Simplify (- 0) into 0
45.439 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.441 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.442 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
45.444 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
45.445 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
45.446 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
45.447 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
45.449 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
45.450 * [backup-simplify]: Simplify (- 0) into 0
45.451 * [backup-simplify]: Simplify (+ 0 0) into 0
45.452 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.453 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
45.455 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
45.455 * [taylor]: Taking taylor expansion of 0 in k
45.455 * [backup-simplify]: Simplify 0 into 0
45.455 * [backup-simplify]: Simplify 0 into 0
45.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
45.457 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.459 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.459 * [backup-simplify]: Simplify (+ 0 0) into 0
45.460 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
45.461 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.461 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
45.466 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
45.469 * [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)))))))
45.471 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
45.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
45.476 * [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
45.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
45.477 * [backup-simplify]: Simplify (- 0) into 0
45.477 * [backup-simplify]: Simplify (+ 0 0) into 0
45.478 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.479 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.481 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.481 * [taylor]: Taking taylor expansion of 0 in k
45.481 * [backup-simplify]: Simplify 0 into 0
45.481 * [backup-simplify]: Simplify 0 into 0
45.481 * [backup-simplify]: Simplify 0 into 0
45.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
45.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.485 * [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
45.485 * [backup-simplify]: Simplify (+ 0 0) into 0
45.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
45.486 * [backup-simplify]: Simplify (- 0) into 0
45.486 * [backup-simplify]: Simplify (+ 0 0) into 0
45.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.490 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
45.500 * [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)))))
45.506 * [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)))))
45.507 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
45.507 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
45.507 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
45.507 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
45.507 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
45.507 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.507 * [taylor]: Taking taylor expansion of 1/2 in k
45.507 * [backup-simplify]: Simplify 1/2 into 1/2
45.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.507 * [taylor]: Taking taylor expansion of 1/2 in k
45.507 * [backup-simplify]: Simplify 1/2 into 1/2
45.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.507 * [taylor]: Taking taylor expansion of k in k
45.507 * [backup-simplify]: Simplify 0 into 0
45.507 * [backup-simplify]: Simplify 1 into 1
45.508 * [backup-simplify]: Simplify (/ 1 1) into 1
45.508 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
45.508 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
45.508 * [taylor]: Taking taylor expansion of 2 in k
45.508 * [backup-simplify]: Simplify 2 into 2
45.508 * [taylor]: Taking taylor expansion of (/ PI n) in k
45.508 * [taylor]: Taking taylor expansion of PI in k
45.508 * [backup-simplify]: Simplify PI into PI
45.508 * [taylor]: Taking taylor expansion of n in k
45.508 * [backup-simplify]: Simplify n into n
45.508 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
45.508 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
45.508 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
45.508 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.508 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.509 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.509 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
45.509 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
45.509 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.509 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.509 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.509 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.509 * [taylor]: Taking taylor expansion of 1/2 in n
45.509 * [backup-simplify]: Simplify 1/2 into 1/2
45.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.509 * [taylor]: Taking taylor expansion of 1/2 in n
45.509 * [backup-simplify]: Simplify 1/2 into 1/2
45.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.509 * [taylor]: Taking taylor expansion of k in n
45.509 * [backup-simplify]: Simplify k into k
45.509 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.509 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.509 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.509 * [taylor]: Taking taylor expansion of 2 in n
45.509 * [backup-simplify]: Simplify 2 into 2
45.509 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.509 * [taylor]: Taking taylor expansion of PI in n
45.509 * [backup-simplify]: Simplify PI into PI
45.509 * [taylor]: Taking taylor expansion of n in n
45.509 * [backup-simplify]: Simplify 0 into 0
45.509 * [backup-simplify]: Simplify 1 into 1
45.510 * [backup-simplify]: Simplify (/ PI 1) into PI
45.510 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.511 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.511 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.511 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.512 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.513 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.514 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.514 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.514 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.514 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.514 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.514 * [taylor]: Taking taylor expansion of 1/2 in n
45.514 * [backup-simplify]: Simplify 1/2 into 1/2
45.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.514 * [taylor]: Taking taylor expansion of 1/2 in n
45.514 * [backup-simplify]: Simplify 1/2 into 1/2
45.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.514 * [taylor]: Taking taylor expansion of k in n
45.514 * [backup-simplify]: Simplify k into k
45.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.514 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.514 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.514 * [taylor]: Taking taylor expansion of 2 in n
45.514 * [backup-simplify]: Simplify 2 into 2
45.514 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.514 * [taylor]: Taking taylor expansion of PI in n
45.514 * [backup-simplify]: Simplify PI into PI
45.514 * [taylor]: Taking taylor expansion of n in n
45.514 * [backup-simplify]: Simplify 0 into 0
45.514 * [backup-simplify]: Simplify 1 into 1
45.515 * [backup-simplify]: Simplify (/ PI 1) into PI
45.515 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.516 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.516 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.516 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.516 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.517 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.518 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.519 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.519 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
45.519 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
45.519 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.519 * [taylor]: Taking taylor expansion of 1/2 in k
45.519 * [backup-simplify]: Simplify 1/2 into 1/2
45.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.519 * [taylor]: Taking taylor expansion of 1/2 in k
45.519 * [backup-simplify]: Simplify 1/2 into 1/2
45.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.519 * [taylor]: Taking taylor expansion of k in k
45.519 * [backup-simplify]: Simplify 0 into 0
45.519 * [backup-simplify]: Simplify 1 into 1
45.519 * [backup-simplify]: Simplify (/ 1 1) into 1
45.519 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
45.519 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.519 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.519 * [taylor]: Taking taylor expansion of 2 in k
45.519 * [backup-simplify]: Simplify 2 into 2
45.519 * [taylor]: Taking taylor expansion of PI in k
45.519 * [backup-simplify]: Simplify PI into PI
45.520 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.520 * [taylor]: Taking taylor expansion of (log n) in k
45.520 * [taylor]: Taking taylor expansion of n in k
45.520 * [backup-simplify]: Simplify n into n
45.520 * [backup-simplify]: Simplify (log n) into (log n)
45.521 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.521 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.521 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.521 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
45.522 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
45.523 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
45.523 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.524 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
45.525 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
45.527 * [backup-simplify]: Simplify (- 0) into 0
45.528 * [backup-simplify]: Simplify (+ 0 0) into 0
45.529 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.530 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
45.531 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
45.531 * [taylor]: Taking taylor expansion of 0 in k
45.531 * [backup-simplify]: Simplify 0 into 0
45.531 * [backup-simplify]: Simplify 0 into 0
45.531 * [backup-simplify]: Simplify 0 into 0
45.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.533 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.534 * [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
45.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
45.535 * [backup-simplify]: Simplify (- 0) into 0
45.536 * [backup-simplify]: Simplify (+ 0 0) into 0
45.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.538 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
45.539 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.539 * [taylor]: Taking taylor expansion of 0 in k
45.539 * [backup-simplify]: Simplify 0 into 0
45.539 * [backup-simplify]: Simplify 0 into 0
45.539 * [backup-simplify]: Simplify 0 into 0
45.539 * [backup-simplify]: Simplify 0 into 0
45.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.544 * [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
45.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
45.545 * [backup-simplify]: Simplify (- 0) into 0
45.546 * [backup-simplify]: Simplify (+ 0 0) into 0
45.547 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.548 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
45.550 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
45.550 * [taylor]: Taking taylor expansion of 0 in k
45.550 * [backup-simplify]: Simplify 0 into 0
45.550 * [backup-simplify]: Simplify 0 into 0
45.550 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
45.551 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
45.551 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
45.551 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
45.551 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
45.551 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
45.551 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
45.551 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.551 * [taylor]: Taking taylor expansion of 1/2 in k
45.551 * [backup-simplify]: Simplify 1/2 into 1/2
45.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.551 * [taylor]: Taking taylor expansion of k in k
45.551 * [backup-simplify]: Simplify 0 into 0
45.551 * [backup-simplify]: Simplify 1 into 1
45.552 * [backup-simplify]: Simplify (/ 1 1) into 1
45.552 * [taylor]: Taking taylor expansion of 1/2 in k
45.552 * [backup-simplify]: Simplify 1/2 into 1/2
45.552 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
45.552 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
45.552 * [taylor]: Taking taylor expansion of -2 in k
45.552 * [backup-simplify]: Simplify -2 into -2
45.552 * [taylor]: Taking taylor expansion of (/ PI n) in k
45.552 * [taylor]: Taking taylor expansion of PI in k
45.552 * [backup-simplify]: Simplify PI into PI
45.552 * [taylor]: Taking taylor expansion of n in k
45.552 * [backup-simplify]: Simplify n into n
45.552 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
45.552 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
45.552 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
45.553 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.553 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.553 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
45.553 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
45.553 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
45.553 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
45.553 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
45.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
45.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.553 * [taylor]: Taking taylor expansion of 1/2 in n
45.553 * [backup-simplify]: Simplify 1/2 into 1/2
45.553 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.553 * [taylor]: Taking taylor expansion of k in n
45.553 * [backup-simplify]: Simplify k into k
45.553 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.553 * [taylor]: Taking taylor expansion of 1/2 in n
45.553 * [backup-simplify]: Simplify 1/2 into 1/2
45.553 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
45.553 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
45.554 * [taylor]: Taking taylor expansion of -2 in n
45.554 * [backup-simplify]: Simplify -2 into -2
45.554 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.554 * [taylor]: Taking taylor expansion of PI in n
45.554 * [backup-simplify]: Simplify PI into PI
45.554 * [taylor]: Taking taylor expansion of n in n
45.554 * [backup-simplify]: Simplify 0 into 0
45.554 * [backup-simplify]: Simplify 1 into 1
45.554 * [backup-simplify]: Simplify (/ PI 1) into PI
45.554 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.555 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.555 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.555 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
45.556 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.557 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
45.557 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.557 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
45.557 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
45.558 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
45.558 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
45.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.558 * [taylor]: Taking taylor expansion of 1/2 in n
45.558 * [backup-simplify]: Simplify 1/2 into 1/2
45.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.558 * [taylor]: Taking taylor expansion of k in n
45.558 * [backup-simplify]: Simplify k into k
45.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.558 * [taylor]: Taking taylor expansion of 1/2 in n
45.558 * [backup-simplify]: Simplify 1/2 into 1/2
45.558 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
45.558 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
45.558 * [taylor]: Taking taylor expansion of -2 in n
45.558 * [backup-simplify]: Simplify -2 into -2
45.558 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.558 * [taylor]: Taking taylor expansion of PI in n
45.558 * [backup-simplify]: Simplify PI into PI
45.558 * [taylor]: Taking taylor expansion of n in n
45.558 * [backup-simplify]: Simplify 0 into 0
45.558 * [backup-simplify]: Simplify 1 into 1
45.558 * [backup-simplify]: Simplify (/ PI 1) into PI
45.559 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.559 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.559 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.559 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
45.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.561 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
45.562 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.562 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
45.562 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
45.562 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
45.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.562 * [taylor]: Taking taylor expansion of 1/2 in k
45.562 * [backup-simplify]: Simplify 1/2 into 1/2
45.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.562 * [taylor]: Taking taylor expansion of k in k
45.562 * [backup-simplify]: Simplify 0 into 0
45.562 * [backup-simplify]: Simplify 1 into 1
45.562 * [backup-simplify]: Simplify (/ 1 1) into 1
45.562 * [taylor]: Taking taylor expansion of 1/2 in k
45.562 * [backup-simplify]: Simplify 1/2 into 1/2
45.562 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
45.562 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
45.562 * [taylor]: Taking taylor expansion of (* -2 PI) in k
45.562 * [taylor]: Taking taylor expansion of -2 in k
45.562 * [backup-simplify]: Simplify -2 into -2
45.562 * [taylor]: Taking taylor expansion of PI in k
45.562 * [backup-simplify]: Simplify PI into PI
45.563 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.563 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.563 * [taylor]: Taking taylor expansion of (log n) in k
45.563 * [taylor]: Taking taylor expansion of n in k
45.563 * [backup-simplify]: Simplify n into n
45.563 * [backup-simplify]: Simplify (log n) into (log n)
45.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.564 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.564 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
45.565 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
45.565 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
45.566 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.567 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
45.568 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
45.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
45.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
45.570 * [backup-simplify]: Simplify (+ 0 0) into 0
45.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.571 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
45.573 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
45.573 * [taylor]: Taking taylor expansion of 0 in k
45.573 * [backup-simplify]: Simplify 0 into 0
45.573 * [backup-simplify]: Simplify 0 into 0
45.573 * [backup-simplify]: Simplify 0 into 0
45.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
45.576 * [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
45.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
45.577 * [backup-simplify]: Simplify (+ 0 0) into 0
45.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.580 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
45.582 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.582 * [taylor]: Taking taylor expansion of 0 in k
45.582 * [backup-simplify]: Simplify 0 into 0
45.582 * [backup-simplify]: Simplify 0 into 0
45.582 * [backup-simplify]: Simplify 0 into 0
45.582 * [backup-simplify]: Simplify 0 into 0
45.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.585 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.591 * [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
45.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
45.593 * [backup-simplify]: Simplify (+ 0 0) into 0
45.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.603 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
45.606 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
45.606 * [taylor]: Taking taylor expansion of 0 in k
45.606 * [backup-simplify]: Simplify 0 into 0
45.606 * [backup-simplify]: Simplify 0 into 0
45.607 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
45.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
45.608 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
45.608 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
45.608 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
45.608 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
45.608 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
45.608 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.608 * [taylor]: Taking taylor expansion of 1/2 in k
45.608 * [backup-simplify]: Simplify 1/2 into 1/2
45.608 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.608 * [taylor]: Taking taylor expansion of 1/2 in k
45.608 * [backup-simplify]: Simplify 1/2 into 1/2
45.608 * [taylor]: Taking taylor expansion of k in k
45.608 * [backup-simplify]: Simplify 0 into 0
45.608 * [backup-simplify]: Simplify 1 into 1
45.608 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
45.608 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
45.608 * [taylor]: Taking taylor expansion of 2 in k
45.608 * [backup-simplify]: Simplify 2 into 2
45.609 * [taylor]: Taking taylor expansion of (* n PI) in k
45.609 * [taylor]: Taking taylor expansion of n in k
45.609 * [backup-simplify]: Simplify n into n
45.609 * [taylor]: Taking taylor expansion of PI in k
45.609 * [backup-simplify]: Simplify PI into PI
45.609 * [backup-simplify]: Simplify (* n PI) into (* n PI)
45.609 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
45.609 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
45.609 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.610 * [backup-simplify]: Simplify (- 0) into 0
45.610 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.610 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
45.610 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
45.610 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.610 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.610 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.610 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.610 * [taylor]: Taking taylor expansion of 1/2 in n
45.610 * [backup-simplify]: Simplify 1/2 into 1/2
45.610 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.610 * [taylor]: Taking taylor expansion of 1/2 in n
45.610 * [backup-simplify]: Simplify 1/2 into 1/2
45.610 * [taylor]: Taking taylor expansion of k in n
45.610 * [backup-simplify]: Simplify k into k
45.610 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.610 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.610 * [taylor]: Taking taylor expansion of 2 in n
45.610 * [backup-simplify]: Simplify 2 into 2
45.610 * [taylor]: Taking taylor expansion of (* n PI) in n
45.610 * [taylor]: Taking taylor expansion of n in n
45.610 * [backup-simplify]: Simplify 0 into 0
45.610 * [backup-simplify]: Simplify 1 into 1
45.610 * [taylor]: Taking taylor expansion of PI in n
45.610 * [backup-simplify]: Simplify PI into PI
45.611 * [backup-simplify]: Simplify (* 0 PI) into 0
45.611 * [backup-simplify]: Simplify (* 2 0) into 0
45.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.613 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.614 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.614 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.614 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.614 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.616 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.617 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.617 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.617 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.617 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.617 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.617 * [taylor]: Taking taylor expansion of 1/2 in n
45.617 * [backup-simplify]: Simplify 1/2 into 1/2
45.617 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.617 * [taylor]: Taking taylor expansion of 1/2 in n
45.617 * [backup-simplify]: Simplify 1/2 into 1/2
45.617 * [taylor]: Taking taylor expansion of k in n
45.617 * [backup-simplify]: Simplify k into k
45.617 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.617 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.617 * [taylor]: Taking taylor expansion of 2 in n
45.617 * [backup-simplify]: Simplify 2 into 2
45.617 * [taylor]: Taking taylor expansion of (* n PI) in n
45.617 * [taylor]: Taking taylor expansion of n in n
45.617 * [backup-simplify]: Simplify 0 into 0
45.617 * [backup-simplify]: Simplify 1 into 1
45.617 * [taylor]: Taking taylor expansion of PI in n
45.617 * [backup-simplify]: Simplify PI into PI
45.617 * [backup-simplify]: Simplify (* 0 PI) into 0
45.617 * [backup-simplify]: Simplify (* 2 0) into 0
45.618 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.619 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.620 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.620 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.620 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.620 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.621 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.622 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.623 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.623 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
45.623 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
45.623 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.623 * [taylor]: Taking taylor expansion of 1/2 in k
45.623 * [backup-simplify]: Simplify 1/2 into 1/2
45.623 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.623 * [taylor]: Taking taylor expansion of 1/2 in k
45.623 * [backup-simplify]: Simplify 1/2 into 1/2
45.623 * [taylor]: Taking taylor expansion of k in k
45.623 * [backup-simplify]: Simplify 0 into 0
45.623 * [backup-simplify]: Simplify 1 into 1
45.623 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
45.623 * [taylor]: Taking taylor expansion of (log n) in k
45.623 * [taylor]: Taking taylor expansion of n in k
45.623 * [backup-simplify]: Simplify n into n
45.623 * [backup-simplify]: Simplify (log n) into (log n)
45.623 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.623 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.623 * [taylor]: Taking taylor expansion of 2 in k
45.623 * [backup-simplify]: Simplify 2 into 2
45.623 * [taylor]: Taking taylor expansion of PI in k
45.623 * [backup-simplify]: Simplify PI into PI
45.623 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.624 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.624 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.625 * [backup-simplify]: Simplify (- 0) into 0
45.625 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.626 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.626 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
45.627 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
45.628 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
45.628 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
45.629 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
45.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
45.631 * [backup-simplify]: Simplify (- 0) into 0
45.631 * [backup-simplify]: Simplify (+ 0 0) into 0
45.632 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.633 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
45.634 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
45.634 * [taylor]: Taking taylor expansion of 0 in k
45.634 * [backup-simplify]: Simplify 0 into 0
45.634 * [backup-simplify]: Simplify 0 into 0
45.634 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
45.635 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.637 * [backup-simplify]: Simplify (+ 0 0) into 0
45.637 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
45.637 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.637 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
45.640 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
45.642 * [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)))))))
45.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
45.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
45.646 * [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
45.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
45.647 * [backup-simplify]: Simplify (- 0) into 0
45.647 * [backup-simplify]: Simplify (+ 0 0) into 0
45.648 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.649 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.650 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.650 * [taylor]: Taking taylor expansion of 0 in k
45.650 * [backup-simplify]: Simplify 0 into 0
45.650 * [backup-simplify]: Simplify 0 into 0
45.650 * [backup-simplify]: Simplify 0 into 0
45.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
45.652 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.654 * [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
45.654 * [backup-simplify]: Simplify (+ 0 0) into 0
45.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
45.655 * [backup-simplify]: Simplify (- 0) into 0
45.655 * [backup-simplify]: Simplify (+ 0 0) into 0
45.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.659 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
45.663 * [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)))))
45.669 * [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)))))
45.669 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
45.669 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
45.669 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
45.669 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
45.669 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
45.669 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.670 * [taylor]: Taking taylor expansion of 1/2 in k
45.670 * [backup-simplify]: Simplify 1/2 into 1/2
45.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.670 * [taylor]: Taking taylor expansion of 1/2 in k
45.670 * [backup-simplify]: Simplify 1/2 into 1/2
45.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.670 * [taylor]: Taking taylor expansion of k in k
45.670 * [backup-simplify]: Simplify 0 into 0
45.670 * [backup-simplify]: Simplify 1 into 1
45.670 * [backup-simplify]: Simplify (/ 1 1) into 1
45.670 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
45.670 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
45.670 * [taylor]: Taking taylor expansion of 2 in k
45.670 * [backup-simplify]: Simplify 2 into 2
45.670 * [taylor]: Taking taylor expansion of (/ PI n) in k
45.670 * [taylor]: Taking taylor expansion of PI in k
45.670 * [backup-simplify]: Simplify PI into PI
45.670 * [taylor]: Taking taylor expansion of n in k
45.670 * [backup-simplify]: Simplify n into n
45.670 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
45.670 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
45.670 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
45.671 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.671 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.672 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.672 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
45.672 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
45.672 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.672 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.672 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.672 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.672 * [taylor]: Taking taylor expansion of 1/2 in n
45.672 * [backup-simplify]: Simplify 1/2 into 1/2
45.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.672 * [taylor]: Taking taylor expansion of 1/2 in n
45.672 * [backup-simplify]: Simplify 1/2 into 1/2
45.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.672 * [taylor]: Taking taylor expansion of k in n
45.672 * [backup-simplify]: Simplify k into k
45.672 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.672 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.672 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.672 * [taylor]: Taking taylor expansion of 2 in n
45.672 * [backup-simplify]: Simplify 2 into 2
45.672 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.672 * [taylor]: Taking taylor expansion of PI in n
45.673 * [backup-simplify]: Simplify PI into PI
45.673 * [taylor]: Taking taylor expansion of n in n
45.673 * [backup-simplify]: Simplify 0 into 0
45.673 * [backup-simplify]: Simplify 1 into 1
45.673 * [backup-simplify]: Simplify (/ PI 1) into PI
45.674 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.675 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.675 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.675 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.677 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.678 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.679 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.679 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.679 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.679 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.679 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.679 * [taylor]: Taking taylor expansion of 1/2 in n
45.679 * [backup-simplify]: Simplify 1/2 into 1/2
45.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.679 * [taylor]: Taking taylor expansion of 1/2 in n
45.679 * [backup-simplify]: Simplify 1/2 into 1/2
45.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.679 * [taylor]: Taking taylor expansion of k in n
45.679 * [backup-simplify]: Simplify k into k
45.679 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.679 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.679 * [taylor]: Taking taylor expansion of 2 in n
45.679 * [backup-simplify]: Simplify 2 into 2
45.679 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.679 * [taylor]: Taking taylor expansion of PI in n
45.679 * [backup-simplify]: Simplify PI into PI
45.679 * [taylor]: Taking taylor expansion of n in n
45.679 * [backup-simplify]: Simplify 0 into 0
45.679 * [backup-simplify]: Simplify 1 into 1
45.680 * [backup-simplify]: Simplify (/ PI 1) into PI
45.680 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.681 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.681 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.682 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.682 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.684 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.685 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.685 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
45.685 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
45.685 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.685 * [taylor]: Taking taylor expansion of 1/2 in k
45.686 * [backup-simplify]: Simplify 1/2 into 1/2
45.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.686 * [taylor]: Taking taylor expansion of 1/2 in k
45.686 * [backup-simplify]: Simplify 1/2 into 1/2
45.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.686 * [taylor]: Taking taylor expansion of k in k
45.686 * [backup-simplify]: Simplify 0 into 0
45.686 * [backup-simplify]: Simplify 1 into 1
45.686 * [backup-simplify]: Simplify (/ 1 1) into 1
45.686 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
45.686 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.686 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.686 * [taylor]: Taking taylor expansion of 2 in k
45.686 * [backup-simplify]: Simplify 2 into 2
45.686 * [taylor]: Taking taylor expansion of PI in k
45.686 * [backup-simplify]: Simplify PI into PI
45.687 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.688 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.688 * [taylor]: Taking taylor expansion of (log n) in k
45.688 * [taylor]: Taking taylor expansion of n in k
45.688 * [backup-simplify]: Simplify n into n
45.688 * [backup-simplify]: Simplify (log n) into (log n)
45.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.689 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.689 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.689 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
45.691 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
45.692 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
45.693 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.694 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
45.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
45.699 * [backup-simplify]: Simplify (- 0) into 0
45.700 * [backup-simplify]: Simplify (+ 0 0) into 0
45.701 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.702 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
45.705 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
45.705 * [taylor]: Taking taylor expansion of 0 in k
45.705 * [backup-simplify]: Simplify 0 into 0
45.705 * [backup-simplify]: Simplify 0 into 0
45.705 * [backup-simplify]: Simplify 0 into 0
45.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.721 * [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
45.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
45.723 * [backup-simplify]: Simplify (- 0) into 0
45.723 * [backup-simplify]: Simplify (+ 0 0) into 0
45.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.725 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
45.727 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.727 * [taylor]: Taking taylor expansion of 0 in k
45.727 * [backup-simplify]: Simplify 0 into 0
45.727 * [backup-simplify]: Simplify 0 into 0
45.727 * [backup-simplify]: Simplify 0 into 0
45.727 * [backup-simplify]: Simplify 0 into 0
45.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.732 * [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
45.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
45.733 * [backup-simplify]: Simplify (- 0) into 0
45.733 * [backup-simplify]: Simplify (+ 0 0) into 0
45.734 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.736 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
45.737 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
45.737 * [taylor]: Taking taylor expansion of 0 in k
45.737 * [backup-simplify]: Simplify 0 into 0
45.737 * [backup-simplify]: Simplify 0 into 0
45.738 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
45.739 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
45.739 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
45.739 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
45.739 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
45.739 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
45.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
45.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.739 * [taylor]: Taking taylor expansion of 1/2 in k
45.739 * [backup-simplify]: Simplify 1/2 into 1/2
45.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.739 * [taylor]: Taking taylor expansion of k in k
45.739 * [backup-simplify]: Simplify 0 into 0
45.739 * [backup-simplify]: Simplify 1 into 1
45.739 * [backup-simplify]: Simplify (/ 1 1) into 1
45.739 * [taylor]: Taking taylor expansion of 1/2 in k
45.739 * [backup-simplify]: Simplify 1/2 into 1/2
45.739 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
45.739 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
45.739 * [taylor]: Taking taylor expansion of -2 in k
45.739 * [backup-simplify]: Simplify -2 into -2
45.739 * [taylor]: Taking taylor expansion of (/ PI n) in k
45.739 * [taylor]: Taking taylor expansion of PI in k
45.739 * [backup-simplify]: Simplify PI into PI
45.739 * [taylor]: Taking taylor expansion of n in k
45.739 * [backup-simplify]: Simplify n into n
45.739 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
45.739 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
45.739 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
45.740 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.740 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.740 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
45.740 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
45.740 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
45.740 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
45.740 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
45.740 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
45.740 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.740 * [taylor]: Taking taylor expansion of 1/2 in n
45.740 * [backup-simplify]: Simplify 1/2 into 1/2
45.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.740 * [taylor]: Taking taylor expansion of k in n
45.740 * [backup-simplify]: Simplify k into k
45.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.740 * [taylor]: Taking taylor expansion of 1/2 in n
45.740 * [backup-simplify]: Simplify 1/2 into 1/2
45.740 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
45.740 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
45.740 * [taylor]: Taking taylor expansion of -2 in n
45.740 * [backup-simplify]: Simplify -2 into -2
45.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.740 * [taylor]: Taking taylor expansion of PI in n
45.740 * [backup-simplify]: Simplify PI into PI
45.740 * [taylor]: Taking taylor expansion of n in n
45.741 * [backup-simplify]: Simplify 0 into 0
45.741 * [backup-simplify]: Simplify 1 into 1
45.741 * [backup-simplify]: Simplify (/ PI 1) into PI
45.741 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.742 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.742 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.742 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
45.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.744 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
45.744 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.745 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
45.745 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
45.745 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
45.745 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
45.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.745 * [taylor]: Taking taylor expansion of 1/2 in n
45.745 * [backup-simplify]: Simplify 1/2 into 1/2
45.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.745 * [taylor]: Taking taylor expansion of k in n
45.745 * [backup-simplify]: Simplify k into k
45.745 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.745 * [taylor]: Taking taylor expansion of 1/2 in n
45.745 * [backup-simplify]: Simplify 1/2 into 1/2
45.745 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
45.745 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
45.745 * [taylor]: Taking taylor expansion of -2 in n
45.745 * [backup-simplify]: Simplify -2 into -2
45.745 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.745 * [taylor]: Taking taylor expansion of PI in n
45.745 * [backup-simplify]: Simplify PI into PI
45.745 * [taylor]: Taking taylor expansion of n in n
45.745 * [backup-simplify]: Simplify 0 into 0
45.745 * [backup-simplify]: Simplify 1 into 1
45.745 * [backup-simplify]: Simplify (/ PI 1) into PI
45.746 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.746 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.746 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.747 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
45.747 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.748 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
45.749 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.749 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
45.749 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
45.749 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
45.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.749 * [taylor]: Taking taylor expansion of 1/2 in k
45.749 * [backup-simplify]: Simplify 1/2 into 1/2
45.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.749 * [taylor]: Taking taylor expansion of k in k
45.749 * [backup-simplify]: Simplify 0 into 0
45.749 * [backup-simplify]: Simplify 1 into 1
45.749 * [backup-simplify]: Simplify (/ 1 1) into 1
45.750 * [taylor]: Taking taylor expansion of 1/2 in k
45.750 * [backup-simplify]: Simplify 1/2 into 1/2
45.750 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
45.750 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
45.750 * [taylor]: Taking taylor expansion of (* -2 PI) in k
45.750 * [taylor]: Taking taylor expansion of -2 in k
45.750 * [backup-simplify]: Simplify -2 into -2
45.750 * [taylor]: Taking taylor expansion of PI in k
45.750 * [backup-simplify]: Simplify PI into PI
45.750 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
45.751 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
45.751 * [taylor]: Taking taylor expansion of (log n) in k
45.751 * [taylor]: Taking taylor expansion of n in k
45.751 * [backup-simplify]: Simplify n into n
45.751 * [backup-simplify]: Simplify (log n) into (log n)
45.751 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.751 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.751 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
45.752 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
45.753 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
45.753 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.754 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
45.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
45.755 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
45.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
45.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
45.757 * [backup-simplify]: Simplify (+ 0 0) into 0
45.758 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.759 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
45.760 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
45.760 * [taylor]: Taking taylor expansion of 0 in k
45.760 * [backup-simplify]: Simplify 0 into 0
45.760 * [backup-simplify]: Simplify 0 into 0
45.760 * [backup-simplify]: Simplify 0 into 0
45.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.762 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
45.764 * [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
45.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
45.765 * [backup-simplify]: Simplify (+ 0 0) into 0
45.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.767 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
45.769 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.769 * [taylor]: Taking taylor expansion of 0 in k
45.769 * [backup-simplify]: Simplify 0 into 0
45.769 * [backup-simplify]: Simplify 0 into 0
45.769 * [backup-simplify]: Simplify 0 into 0
45.769 * [backup-simplify]: Simplify 0 into 0
45.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.775 * [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
45.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
45.777 * [backup-simplify]: Simplify (+ 0 0) into 0
45.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
45.781 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
45.783 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
45.783 * [taylor]: Taking taylor expansion of 0 in k
45.784 * [backup-simplify]: Simplify 0 into 0
45.784 * [backup-simplify]: Simplify 0 into 0
45.785 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
45.785 * * * * [progress]: [ 3 / 4 ] generating series at (2)
45.786 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
45.786 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
45.786 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
45.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
45.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.786 * [taylor]: Taking taylor expansion of k in k
45.786 * [backup-simplify]: Simplify 0 into 0
45.787 * [backup-simplify]: Simplify 1 into 1
45.787 * [backup-simplify]: Simplify (/ 1 1) into 1
45.787 * [backup-simplify]: Simplify (sqrt 0) into 0
45.789 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
45.789 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
45.789 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
45.789 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
45.789 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.789 * [taylor]: Taking taylor expansion of 1/2 in k
45.789 * [backup-simplify]: Simplify 1/2 into 1/2
45.789 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.789 * [taylor]: Taking taylor expansion of 1/2 in k
45.789 * [backup-simplify]: Simplify 1/2 into 1/2
45.789 * [taylor]: Taking taylor expansion of k in k
45.789 * [backup-simplify]: Simplify 0 into 0
45.789 * [backup-simplify]: Simplify 1 into 1
45.789 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
45.789 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
45.789 * [taylor]: Taking taylor expansion of 2 in k
45.789 * [backup-simplify]: Simplify 2 into 2
45.789 * [taylor]: Taking taylor expansion of (* n PI) in k
45.789 * [taylor]: Taking taylor expansion of n in k
45.789 * [backup-simplify]: Simplify n into n
45.789 * [taylor]: Taking taylor expansion of PI in k
45.789 * [backup-simplify]: Simplify PI into PI
45.789 * [backup-simplify]: Simplify (* n PI) into (* n PI)
45.789 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
45.790 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
45.790 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.790 * [backup-simplify]: Simplify (- 0) into 0
45.791 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.791 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
45.791 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
45.791 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
45.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
45.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.791 * [taylor]: Taking taylor expansion of k in n
45.791 * [backup-simplify]: Simplify k into k
45.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.791 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
45.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
45.792 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.792 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.792 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.792 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.792 * [taylor]: Taking taylor expansion of 1/2 in n
45.792 * [backup-simplify]: Simplify 1/2 into 1/2
45.792 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.792 * [taylor]: Taking taylor expansion of 1/2 in n
45.792 * [backup-simplify]: Simplify 1/2 into 1/2
45.792 * [taylor]: Taking taylor expansion of k in n
45.792 * [backup-simplify]: Simplify k into k
45.792 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.792 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.792 * [taylor]: Taking taylor expansion of 2 in n
45.792 * [backup-simplify]: Simplify 2 into 2
45.792 * [taylor]: Taking taylor expansion of (* n PI) in n
45.792 * [taylor]: Taking taylor expansion of n in n
45.792 * [backup-simplify]: Simplify 0 into 0
45.792 * [backup-simplify]: Simplify 1 into 1
45.792 * [taylor]: Taking taylor expansion of PI in n
45.792 * [backup-simplify]: Simplify PI into PI
45.793 * [backup-simplify]: Simplify (* 0 PI) into 0
45.793 * [backup-simplify]: Simplify (* 2 0) into 0
45.795 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.797 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.798 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.798 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.798 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.798 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.799 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.800 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.802 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.802 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
45.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
45.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.802 * [taylor]: Taking taylor expansion of k in n
45.802 * [backup-simplify]: Simplify k into k
45.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.802 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
45.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
45.802 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
45.802 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
45.802 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
45.802 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
45.802 * [taylor]: Taking taylor expansion of 1/2 in n
45.802 * [backup-simplify]: Simplify 1/2 into 1/2
45.802 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
45.802 * [taylor]: Taking taylor expansion of 1/2 in n
45.803 * [backup-simplify]: Simplify 1/2 into 1/2
45.803 * [taylor]: Taking taylor expansion of k in n
45.803 * [backup-simplify]: Simplify k into k
45.803 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
45.803 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
45.803 * [taylor]: Taking taylor expansion of 2 in n
45.803 * [backup-simplify]: Simplify 2 into 2
45.803 * [taylor]: Taking taylor expansion of (* n PI) in n
45.803 * [taylor]: Taking taylor expansion of n in n
45.803 * [backup-simplify]: Simplify 0 into 0
45.803 * [backup-simplify]: Simplify 1 into 1
45.803 * [taylor]: Taking taylor expansion of PI in n
45.803 * [backup-simplify]: Simplify PI into PI
45.803 * [backup-simplify]: Simplify (* 0 PI) into 0
45.804 * [backup-simplify]: Simplify (* 2 0) into 0
45.805 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
45.807 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
45.807 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.807 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
45.808 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
45.808 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
45.808 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.809 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
45.810 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
45.811 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
45.811 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
45.811 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
45.811 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
45.811 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
45.811 * [taylor]: Taking taylor expansion of 1/2 in k
45.811 * [backup-simplify]: Simplify 1/2 into 1/2
45.811 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
45.811 * [taylor]: Taking taylor expansion of 1/2 in k
45.811 * [backup-simplify]: Simplify 1/2 into 1/2
45.811 * [taylor]: Taking taylor expansion of k in k
45.811 * [backup-simplify]: Simplify 0 into 0
45.811 * [backup-simplify]: Simplify 1 into 1
45.811 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
45.811 * [taylor]: Taking taylor expansion of (log n) in k
45.811 * [taylor]: Taking taylor expansion of n in k
45.811 * [backup-simplify]: Simplify n into n
45.811 * [backup-simplify]: Simplify (log n) into (log n)
45.811 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.811 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.811 * [taylor]: Taking taylor expansion of 2 in k
45.811 * [backup-simplify]: Simplify 2 into 2
45.811 * [taylor]: Taking taylor expansion of PI in k
45.811 * [backup-simplify]: Simplify PI into PI
45.811 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.812 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.813 * [backup-simplify]: Simplify (* 1/2 0) into 0
45.813 * [backup-simplify]: Simplify (- 0) into 0
45.813 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
45.814 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.814 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
45.815 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
45.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
45.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.815 * [taylor]: Taking taylor expansion of k in k
45.815 * [backup-simplify]: Simplify 0 into 0
45.815 * [backup-simplify]: Simplify 1 into 1
45.816 * [backup-simplify]: Simplify (/ 1 1) into 1
45.816 * [backup-simplify]: Simplify (sqrt 0) into 0
45.817 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
45.817 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
45.817 * [backup-simplify]: Simplify 0 into 0
45.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
45.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
45.820 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
45.820 * [backup-simplify]: Simplify (- 0) into 0
45.820 * [backup-simplify]: Simplify (+ 0 0) into 0
45.821 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.822 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
45.823 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
45.824 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
45.824 * [taylor]: Taking taylor expansion of 0 in k
45.824 * [backup-simplify]: Simplify 0 into 0
45.825 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
45.830 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.832 * [backup-simplify]: Simplify (+ 0 0) into 0
45.832 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
45.833 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.833 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
45.836 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
45.838 * [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)))))))
45.839 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
45.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
45.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
45.842 * [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
45.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
45.843 * [backup-simplify]: Simplify (- 0) into 0
45.844 * [backup-simplify]: Simplify (+ 0 0) into 0
45.844 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.845 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.847 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.848 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
45.849 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
45.849 * [taylor]: Taking taylor expansion of 0 in k
45.849 * [backup-simplify]: Simplify 0 into 0
45.849 * [backup-simplify]: Simplify 0 into 0
45.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
45.851 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
45.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
45.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.855 * [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
45.855 * [backup-simplify]: Simplify (+ 0 0) into 0
45.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
45.856 * [backup-simplify]: Simplify (- 0) into 0
45.856 * [backup-simplify]: Simplify (+ 0 0) into 0
45.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
45.860 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))
45.866 * [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))))))))
45.869 * [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))))))))
45.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
45.870 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
45.874 * [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
45.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
45.875 * [backup-simplify]: Simplify (- 0) into 0
45.875 * [backup-simplify]: Simplify (+ 0 0) into 0
45.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
45.878 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
45.879 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
45.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
45.881 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
45.881 * [taylor]: Taking taylor expansion of 0 in k
45.881 * [backup-simplify]: Simplify 0 into 0
45.881 * [backup-simplify]: Simplify 0 into 0
45.881 * [backup-simplify]: Simplify 0 into 0
45.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
45.886 * [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
45.887 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.890 * [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
45.891 * [backup-simplify]: Simplify (+ 0 0) into 0
45.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
45.892 * [backup-simplify]: Simplify (- 0) into 0
45.892 * [backup-simplify]: Simplify (+ 0 0) into 0
45.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
45.897 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 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)))))))
45.908 * [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))))))))))))))
45.916 * [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))))))))))))))
45.944 * [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))))))))))))))))))))))
45.946 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) (sqrt (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
45.946 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
45.946 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
45.946 * [taylor]: Taking taylor expansion of (sqrt k) in k
45.946 * [taylor]: Taking taylor expansion of k in k
45.946 * [backup-simplify]: Simplify 0 into 0
45.946 * [backup-simplify]: Simplify 1 into 1
45.946 * [backup-simplify]: Simplify (sqrt 0) into 0
45.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
45.947 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
45.947 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
45.947 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
45.947 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.947 * [taylor]: Taking taylor expansion of 1/2 in k
45.947 * [backup-simplify]: Simplify 1/2 into 1/2
45.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.947 * [taylor]: Taking taylor expansion of 1/2 in k
45.947 * [backup-simplify]: Simplify 1/2 into 1/2
45.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.947 * [taylor]: Taking taylor expansion of k in k
45.947 * [backup-simplify]: Simplify 0 into 0
45.947 * [backup-simplify]: Simplify 1 into 1
45.948 * [backup-simplify]: Simplify (/ 1 1) into 1
45.948 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
45.948 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
45.948 * [taylor]: Taking taylor expansion of 2 in k
45.948 * [backup-simplify]: Simplify 2 into 2
45.948 * [taylor]: Taking taylor expansion of (/ PI n) in k
45.948 * [taylor]: Taking taylor expansion of PI in k
45.948 * [backup-simplify]: Simplify PI into PI
45.948 * [taylor]: Taking taylor expansion of n in k
45.948 * [backup-simplify]: Simplify n into n
45.948 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
45.948 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
45.948 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
45.948 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.949 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.949 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.949 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
45.949 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
45.949 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
45.949 * [taylor]: Taking taylor expansion of (sqrt k) in n
45.949 * [taylor]: Taking taylor expansion of k in n
45.949 * [backup-simplify]: Simplify k into k
45.949 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
45.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
45.949 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.949 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.949 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.949 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.949 * [taylor]: Taking taylor expansion of 1/2 in n
45.949 * [backup-simplify]: Simplify 1/2 into 1/2
45.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.949 * [taylor]: Taking taylor expansion of 1/2 in n
45.949 * [backup-simplify]: Simplify 1/2 into 1/2
45.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.949 * [taylor]: Taking taylor expansion of k in n
45.949 * [backup-simplify]: Simplify k into k
45.949 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.949 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.949 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.949 * [taylor]: Taking taylor expansion of 2 in n
45.949 * [backup-simplify]: Simplify 2 into 2
45.950 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.950 * [taylor]: Taking taylor expansion of PI in n
45.950 * [backup-simplify]: Simplify PI into PI
45.950 * [taylor]: Taking taylor expansion of n in n
45.950 * [backup-simplify]: Simplify 0 into 0
45.950 * [backup-simplify]: Simplify 1 into 1
45.950 * [backup-simplify]: Simplify (/ PI 1) into PI
45.950 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.951 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.951 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.951 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.951 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.952 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.953 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.954 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.954 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
45.954 * [taylor]: Taking taylor expansion of (sqrt k) in n
45.954 * [taylor]: Taking taylor expansion of k in n
45.954 * [backup-simplify]: Simplify k into k
45.954 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
45.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
45.954 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
45.954 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
45.954 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
45.954 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
45.954 * [taylor]: Taking taylor expansion of 1/2 in n
45.954 * [backup-simplify]: Simplify 1/2 into 1/2
45.954 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
45.954 * [taylor]: Taking taylor expansion of 1/2 in n
45.954 * [backup-simplify]: Simplify 1/2 into 1/2
45.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n
45.954 * [taylor]: Taking taylor expansion of k in n
45.954 * [backup-simplify]: Simplify k into k
45.954 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
45.954 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
45.954 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
45.954 * [taylor]: Taking taylor expansion of 2 in n
45.954 * [backup-simplify]: Simplify 2 into 2
45.954 * [taylor]: Taking taylor expansion of (/ PI n) in n
45.954 * [taylor]: Taking taylor expansion of PI in n
45.954 * [backup-simplify]: Simplify PI into PI
45.954 * [taylor]: Taking taylor expansion of n in n
45.954 * [backup-simplify]: Simplify 0 into 0
45.954 * [backup-simplify]: Simplify 1 into 1
45.955 * [backup-simplify]: Simplify (/ PI 1) into PI
45.955 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.956 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.956 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
45.956 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
45.956 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
45.957 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.957 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
45.958 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.959 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
45.959 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
45.959 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
45.959 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
45.959 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
45.959 * [taylor]: Taking taylor expansion of 1/2 in k
45.959 * [backup-simplify]: Simplify 1/2 into 1/2
45.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
45.959 * [taylor]: Taking taylor expansion of 1/2 in k
45.959 * [backup-simplify]: Simplify 1/2 into 1/2
45.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k
45.959 * [taylor]: Taking taylor expansion of k in k
45.959 * [backup-simplify]: Simplify 0 into 0
45.959 * [backup-simplify]: Simplify 1 into 1
45.960 * [backup-simplify]: Simplify (/ 1 1) into 1
45.960 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
45.960 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
45.960 * [taylor]: Taking taylor expansion of (* 2 PI) in k
45.960 * [taylor]: Taking taylor expansion of 2 in k
45.960 * [backup-simplify]: Simplify 2 into 2
45.960 * [taylor]: Taking taylor expansion of PI in k
45.960 * [backup-simplify]: Simplify PI into PI
45.960 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
45.961 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
45.961 * [taylor]: Taking taylor expansion of (log n) in k
45.961 * [taylor]: Taking taylor expansion of n in k
45.961 * [backup-simplify]: Simplify n into n
45.961 * [backup-simplify]: Simplify (log n) into (log n)
45.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
45.962 * [backup-simplify]: Simplify (- 1/2) into -1/2
45.962 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
45.962 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
45.963 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
45.963 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
45.964 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
45.964 * [taylor]: Taking taylor expansion of (sqrt k) in k
45.964 * [taylor]: Taking taylor expansion of k in k
45.964 * [backup-simplify]: Simplify 0 into 0
45.964 * [backup-simplify]: Simplify 1 into 1
45.964 * [backup-simplify]: Simplify (sqrt 0) into 0
45.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
45.966 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
45.966 * [backup-simplify]: Simplify 0 into 0
45.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
45.967 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
45.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
45.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
45.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
45.969 * [backup-simplify]: Simplify (- 0) into 0
45.969 * [backup-simplify]: Simplify (+ 0 0) into 0
45.970 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.971 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
45.972 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
45.973 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
45.973 * [taylor]: Taking taylor expansion of 0 in k
45.973 * [backup-simplify]: Simplify 0 into 0
45.973 * [backup-simplify]: Simplify 0 into 0
45.974 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
45.975 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
45.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.976 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
45.978 * [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
45.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
45.979 * [backup-simplify]: Simplify (- 0) into 0
45.980 * [backup-simplify]: Simplify (+ 0 0) into 0
45.980 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
45.981 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
45.983 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
45.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
45.984 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
45.984 * [taylor]: Taking taylor expansion of 0 in k
45.985 * [backup-simplify]: Simplify 0 into 0
45.985 * [backup-simplify]: Simplify 0 into 0
45.985 * [backup-simplify]: Simplify 0 into 0
45.987 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
45.988 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
45.989 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
45.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
45.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
45.995 * [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
45.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
45.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
45.997 * [backup-simplify]: Simplify (- 0) into 0
45.997 * [backup-simplify]: Simplify (+ 0 0) into 0
45.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
46.000 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
46.003 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 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
46.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
46.006 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
46.006 * [taylor]: Taking taylor expansion of 0 in k
46.006 * [backup-simplify]: Simplify 0 into 0
46.006 * [backup-simplify]: Simplify 0 into 0
46.006 * [backup-simplify]: Simplify 0 into 0
46.006 * [backup-simplify]: Simplify 0 into 0
46.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
46.012 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
46.013 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
46.017 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
46.019 * [backup-simplify]: Simplify (* (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) (sqrt (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
46.019 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
46.019 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
46.019 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
46.019 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
46.019 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
46.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
46.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
46.019 * [taylor]: Taking taylor expansion of 1/2 in k
46.019 * [backup-simplify]: Simplify 1/2 into 1/2
46.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.019 * [taylor]: Taking taylor expansion of k in k
46.019 * [backup-simplify]: Simplify 0 into 0
46.019 * [backup-simplify]: Simplify 1 into 1
46.020 * [backup-simplify]: Simplify (/ 1 1) into 1
46.020 * [taylor]: Taking taylor expansion of 1/2 in k
46.021 * [backup-simplify]: Simplify 1/2 into 1/2
46.021 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
46.021 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
46.021 * [taylor]: Taking taylor expansion of -2 in k
46.021 * [backup-simplify]: Simplify -2 into -2
46.021 * [taylor]: Taking taylor expansion of (/ PI n) in k
46.021 * [taylor]: Taking taylor expansion of PI in k
46.021 * [backup-simplify]: Simplify PI into PI
46.021 * [taylor]: Taking taylor expansion of n in k
46.021 * [backup-simplify]: Simplify n into n
46.021 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
46.021 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
46.021 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
46.021 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
46.022 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
46.022 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
46.022 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
46.022 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
46.022 * [taylor]: Taking taylor expansion of (/ -1 k) in k
46.022 * [taylor]: Taking taylor expansion of -1 in k
46.022 * [backup-simplify]: Simplify -1 into -1
46.022 * [taylor]: Taking taylor expansion of k in k
46.022 * [backup-simplify]: Simplify 0 into 0
46.022 * [backup-simplify]: Simplify 1 into 1
46.023 * [backup-simplify]: Simplify (/ -1 1) into -1
46.023 * [backup-simplify]: Simplify (sqrt 0) into 0
46.024 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
46.025 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
46.025 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
46.025 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
46.025 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
46.025 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
46.025 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
46.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
46.025 * [taylor]: Taking taylor expansion of 1/2 in n
46.025 * [backup-simplify]: Simplify 1/2 into 1/2
46.025 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.025 * [taylor]: Taking taylor expansion of k in n
46.025 * [backup-simplify]: Simplify k into k
46.025 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.025 * [taylor]: Taking taylor expansion of 1/2 in n
46.025 * [backup-simplify]: Simplify 1/2 into 1/2
46.025 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
46.025 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.025 * [taylor]: Taking taylor expansion of -2 in n
46.025 * [backup-simplify]: Simplify -2 into -2
46.025 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.025 * [taylor]: Taking taylor expansion of PI in n
46.025 * [backup-simplify]: Simplify PI into PI
46.025 * [taylor]: Taking taylor expansion of n in n
46.025 * [backup-simplify]: Simplify 0 into 0
46.025 * [backup-simplify]: Simplify 1 into 1
46.026 * [backup-simplify]: Simplify (/ PI 1) into PI
46.026 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.027 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.027 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
46.028 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
46.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.030 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
46.032 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
46.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
46.032 * [taylor]: Taking taylor expansion of (/ -1 k) in n
46.032 * [taylor]: Taking taylor expansion of -1 in n
46.032 * [backup-simplify]: Simplify -1 into -1
46.032 * [taylor]: Taking taylor expansion of k in n
46.032 * [backup-simplify]: Simplify k into k
46.032 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
46.032 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
46.032 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
46.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
46.034 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
46.034 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
46.034 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
46.034 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
46.034 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
46.034 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
46.034 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
46.034 * [taylor]: Taking taylor expansion of 1/2 in n
46.034 * [backup-simplify]: Simplify 1/2 into 1/2
46.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n
46.034 * [taylor]: Taking taylor expansion of k in n
46.034 * [backup-simplify]: Simplify k into k
46.034 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
46.034 * [taylor]: Taking taylor expansion of 1/2 in n
46.034 * [backup-simplify]: Simplify 1/2 into 1/2
46.034 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
46.034 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.034 * [taylor]: Taking taylor expansion of -2 in n
46.034 * [backup-simplify]: Simplify -2 into -2
46.034 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.034 * [taylor]: Taking taylor expansion of PI in n
46.034 * [backup-simplify]: Simplify PI into PI
46.034 * [taylor]: Taking taylor expansion of n in n
46.034 * [backup-simplify]: Simplify 0 into 0
46.034 * [backup-simplify]: Simplify 1 into 1
46.035 * [backup-simplify]: Simplify (/ PI 1) into PI
46.035 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.036 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.037 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
46.037 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
46.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.039 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
46.047 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
46.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
46.048 * [taylor]: Taking taylor expansion of (/ -1 k) in n
46.048 * [taylor]: Taking taylor expansion of -1 in n
46.048 * [backup-simplify]: Simplify -1 into -1
46.048 * [taylor]: Taking taylor expansion of k in n
46.048 * [backup-simplify]: Simplify k into k
46.048 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
46.048 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
46.048 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
46.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
46.049 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
46.049 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
46.049 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
46.050 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
46.050 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
46.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
46.050 * [taylor]: Taking taylor expansion of 1/2 in k
46.050 * [backup-simplify]: Simplify 1/2 into 1/2
46.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k
46.050 * [taylor]: Taking taylor expansion of k in k
46.050 * [backup-simplify]: Simplify 0 into 0
46.050 * [backup-simplify]: Simplify 1 into 1
46.050 * [backup-simplify]: Simplify (/ 1 1) into 1
46.050 * [taylor]: Taking taylor expansion of 1/2 in k
46.050 * [backup-simplify]: Simplify 1/2 into 1/2
46.050 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
46.050 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
46.050 * [taylor]: Taking taylor expansion of (* -2 PI) in k
46.050 * [taylor]: Taking taylor expansion of -2 in k
46.050 * [backup-simplify]: Simplify -2 into -2
46.050 * [taylor]: Taking taylor expansion of PI in k
46.050 * [backup-simplify]: Simplify PI into PI
46.051 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.052 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
46.052 * [taylor]: Taking taylor expansion of (log n) in k
46.052 * [taylor]: Taking taylor expansion of n in k
46.052 * [backup-simplify]: Simplify n into n
46.052 * [backup-simplify]: Simplify (log n) into (log n)
46.052 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
46.053 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
46.053 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
46.054 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
46.055 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
46.056 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
46.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
46.056 * [taylor]: Taking taylor expansion of (/ -1 k) in k
46.056 * [taylor]: Taking taylor expansion of -1 in k
46.056 * [backup-simplify]: Simplify -1 into -1
46.056 * [taylor]: Taking taylor expansion of k in k
46.056 * [backup-simplify]: Simplify 0 into 0
46.056 * [backup-simplify]: Simplify 1 into 1
46.057 * [backup-simplify]: Simplify (/ -1 1) into -1
46.057 * [backup-simplify]: Simplify (sqrt 0) into 0
46.059 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
46.060 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
46.061 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
46.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.063 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
46.065 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
46.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
46.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
46.066 * [backup-simplify]: Simplify (+ 0 0) into 0
46.067 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.068 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
46.070 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
46.072 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
46.072 * [taylor]: Taking taylor expansion of 0 in k
46.072 * [backup-simplify]: Simplify 0 into 0
46.072 * [backup-simplify]: Simplify 0 into 0
46.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
46.075 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
46.078 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
46.079 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
46.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.081 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
46.085 * [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
46.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
46.086 * [backup-simplify]: Simplify (+ 0 0) into 0
46.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
46.089 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
46.091 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
46.092 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
46.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
46.094 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
46.094 * [taylor]: Taking taylor expansion of 0 in k
46.094 * [backup-simplify]: Simplify 0 into 0
46.094 * [backup-simplify]: Simplify 0 into 0
46.094 * [backup-simplify]: Simplify 0 into 0
46.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
46.103 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
46.104 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
46.109 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
46.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1)
46.110 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
46.110 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
46.110 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.110 * [taylor]: Taking taylor expansion of 2 in n
46.110 * [backup-simplify]: Simplify 2 into 2
46.110 * [taylor]: Taking taylor expansion of (* n PI) in n
46.110 * [taylor]: Taking taylor expansion of n in n
46.110 * [backup-simplify]: Simplify 0 into 0
46.110 * [backup-simplify]: Simplify 1 into 1
46.110 * [taylor]: Taking taylor expansion of PI in n
46.110 * [backup-simplify]: Simplify PI into PI
46.110 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
46.110 * [taylor]: Taking taylor expansion of 2 in n
46.110 * [backup-simplify]: Simplify 2 into 2
46.110 * [taylor]: Taking taylor expansion of (* n PI) in n
46.110 * [taylor]: Taking taylor expansion of n in n
46.110 * [backup-simplify]: Simplify 0 into 0
46.110 * [backup-simplify]: Simplify 1 into 1
46.110 * [taylor]: Taking taylor expansion of PI in n
46.110 * [backup-simplify]: Simplify PI into PI
46.111 * [backup-simplify]: Simplify (* 0 PI) into 0
46.111 * [backup-simplify]: Simplify (* 2 0) into 0
46.111 * [backup-simplify]: Simplify 0 into 0
46.113 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
46.114 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
46.115 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
46.117 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
46.117 * [backup-simplify]: Simplify 0 into 0
46.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
46.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
46.119 * [backup-simplify]: Simplify 0 into 0
46.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
46.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
46.122 * [backup-simplify]: Simplify 0 into 0
46.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
46.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
46.126 * [backup-simplify]: Simplify 0 into 0
46.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
46.129 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
46.129 * [backup-simplify]: Simplify 0 into 0
46.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
46.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
46.134 * [backup-simplify]: Simplify 0 into 0
46.134 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
46.135 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
46.135 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
46.135 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.135 * [taylor]: Taking taylor expansion of 2 in n
46.135 * [backup-simplify]: Simplify 2 into 2
46.135 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.135 * [taylor]: Taking taylor expansion of PI in n
46.135 * [backup-simplify]: Simplify PI into PI
46.135 * [taylor]: Taking taylor expansion of n in n
46.135 * [backup-simplify]: Simplify 0 into 0
46.135 * [backup-simplify]: Simplify 1 into 1
46.136 * [backup-simplify]: Simplify (/ PI 1) into PI
46.136 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
46.136 * [taylor]: Taking taylor expansion of 2 in n
46.136 * [backup-simplify]: Simplify 2 into 2
46.136 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.136 * [taylor]: Taking taylor expansion of PI in n
46.136 * [backup-simplify]: Simplify PI into PI
46.136 * [taylor]: Taking taylor expansion of n in n
46.136 * [backup-simplify]: Simplify 0 into 0
46.136 * [backup-simplify]: Simplify 1 into 1
46.136 * [backup-simplify]: Simplify (/ PI 1) into PI
46.137 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.137 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
46.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.139 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
46.139 * [backup-simplify]: Simplify 0 into 0
46.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
46.141 * [backup-simplify]: Simplify 0 into 0
46.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
46.143 * [backup-simplify]: Simplify 0 into 0
46.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
46.146 * [backup-simplify]: Simplify 0 into 0
46.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.149 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
46.149 * [backup-simplify]: Simplify 0 into 0
46.150 * [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
46.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
46.152 * [backup-simplify]: Simplify 0 into 0
46.152 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
46.153 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
46.153 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
46.153 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.153 * [taylor]: Taking taylor expansion of -2 in n
46.153 * [backup-simplify]: Simplify -2 into -2
46.153 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.153 * [taylor]: Taking taylor expansion of PI in n
46.153 * [backup-simplify]: Simplify PI into PI
46.153 * [taylor]: Taking taylor expansion of n in n
46.153 * [backup-simplify]: Simplify 0 into 0
46.153 * [backup-simplify]: Simplify 1 into 1
46.154 * [backup-simplify]: Simplify (/ PI 1) into PI
46.154 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
46.154 * [taylor]: Taking taylor expansion of -2 in n
46.154 * [backup-simplify]: Simplify -2 into -2
46.154 * [taylor]: Taking taylor expansion of (/ PI n) in n
46.154 * [taylor]: Taking taylor expansion of PI in n
46.154 * [backup-simplify]: Simplify PI into PI
46.154 * [taylor]: Taking taylor expansion of n in n
46.154 * [backup-simplify]: Simplify 0 into 0
46.154 * [backup-simplify]: Simplify 1 into 1
46.154 * [backup-simplify]: Simplify (/ PI 1) into PI
46.155 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.156 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
46.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
46.157 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
46.157 * [backup-simplify]: Simplify 0 into 0
46.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.160 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
46.160 * [backup-simplify]: Simplify 0 into 0
46.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.162 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
46.162 * [backup-simplify]: Simplify 0 into 0
46.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.165 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
46.165 * [backup-simplify]: Simplify 0 into 0
46.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
46.167 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
46.167 * [backup-simplify]: Simplify 0 into 0
46.168 * [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
46.170 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
46.170 * [backup-simplify]: Simplify 0 into 0
46.171 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
46.171 * * * [progress]: simplifying candidates
46.171 * * * * [progress]: [ 1 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.171 * * * * [progress]: [ 2 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.171 * * * * [progress]: [ 3 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.171 * * * * [progress]: [ 4 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.171 * * * * [progress]: [ 5 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
46.171 * * * * [progress]: [ 6 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 7 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 8 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))))>
46.172 * * * * [progress]: [ 9 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 10 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 11 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
46.172 * * * * [progress]: [ 12 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 13 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 14 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
46.172 * * * * [progress]: [ 15 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 16 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 17 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.172 * * * * [progress]: [ 18 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))))>
46.172 * * * * [progress]: [ 19 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.172 * * * * [progress]: [ 20 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.173 * * * * [progress]: [ 21 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.173 * * * * [progress]: [ 22 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.173 * * * * [progress]: [ 23 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.173 * * * * [progress]: [ 24 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.173 * * * * [progress]: [ 25 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 26 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))))>
46.173 * * * * [progress]: [ 27 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 28 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 29 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 30 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 31 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 32 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 33 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.173 * * * * [progress]: [ 34 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 35 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 36 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 37 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 38 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 39 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 40 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 41 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 42 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 43 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 44 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 45 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 46 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 47 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 48 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (cbrt (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.174 * * * * [progress]: [ 49 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.175 * * * * [progress]: [ 50 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.175 * * * * [progress]: [ 51 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.175 * * * * [progress]: [ 52 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.175 * * * * [progress]: [ 53 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 1/2)))>
46.175 * * * * [progress]: [ 54 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ 1/2 (/ 1 2))))>
46.175 * * * * [progress]: [ 55 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
46.175 * * * * [progress]: [ 56 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) 1/2)))>
46.175 * * * * [progress]: [ 57 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (+ (/ 1 2) (/ 1 2))))>
46.175 * * * * [progress]: [ 58 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1/2))>
46.175 * * * * [progress]: [ 59 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
46.175 * * * * [progress]: [ 60 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (/ 1 2)))>
46.175 * * * * [progress]: [ 61 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 2))>
46.175 * * * * [progress]: [ 62 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (+ 1 1)))>
46.175 * * * * [progress]: [ 63 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) 1))>
46.175 * * * * [progress]: [ 64 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 65 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 66 / 327 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 67 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 68 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 69 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 70 / 327 ] simplifiying candidate #<alt (λ (k n) (sqrt (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.176 * * * * [progress]: [ 71 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 72 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
46.176 * * * * [progress]: [ 73 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))>
46.176 * * * * [progress]: [ 74 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.176 * * * * [progress]: [ 75 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 76 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.176 * * * * [progress]: [ 77 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.177 * * * * [progress]: [ 78 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.177 * * * * [progress]: [ 79 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 80 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 81 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
46.177 * * * * [progress]: [ 82 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
46.177 * * * * [progress]: [ 83 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 84 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 85 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 86 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.177 * * * * [progress]: [ 87 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 88 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 89 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 90 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 91 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 92 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 93 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 94 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 95 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 96 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 97 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
46.178 * * * * [progress]: [ 98 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))))>
46.178 * * * * [progress]: [ 99 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 100 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 101 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 102 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 103 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 104 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.178 * * * * [progress]: [ 105 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.178 * * * * [progress]: [ 106 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 107 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 108 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 109 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.179 * * * * [progress]: [ 110 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))))>
46.179 * * * * [progress]: [ 111 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 112 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
46.179 * * * * [progress]: [ 113 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 114 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 115 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
46.179 * * * * [progress]: [ 116 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 117 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 118 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))))))>
46.179 * * * * [progress]: [ 119 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 120 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
46.179 * * * * [progress]: [ 121 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 122 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 123 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
46.179 * * * * [progress]: [ 124 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.179 * * * * [progress]: [ 125 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 126 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
46.180 * * * * [progress]: [ 127 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 128 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))))>
46.180 * * * * [progress]: [ 129 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 130 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 131 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
46.180 * * * * [progress]: [ 132 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 133 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 134 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))))))>
46.180 * * * * [progress]: [ 135 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 136 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))))>
46.180 * * * * [progress]: [ 137 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 138 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 139 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.180 * * * * [progress]: [ 140 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 141 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
46.180 * * * * [progress]: [ 142 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.181 * * * * [progress]: [ 143 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 144 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))))>
46.181 * * * * [progress]: [ 145 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 146 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 147 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
46.181 * * * * [progress]: [ 148 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 149 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 150 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))))>
46.181 * * * * [progress]: [ 151 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt 1) (sqrt 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.181 * * * * [progress]: [ 152 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))))>
46.181 * * * * [progress]: [ 153 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.181 * * * * [progress]: [ 154 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.181 * * * * [progress]: [ 155 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* 1 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.181 * * * * [progress]: [ 156 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.181 * * * * [progress]: [ 157 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.181 * * * * [progress]: [ 158 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 159 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 160 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 161 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 162 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 163 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 164 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 165 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 166 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 167 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 168 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 169 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 170 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 171 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 172 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 173 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 174 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.182 * * * * [progress]: [ 175 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 176 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 177 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.182 * * * * [progress]: [ 178 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 179 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.183 * * * * [progress]: [ 180 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.183 * * * * [progress]: [ 181 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 182 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 183 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 184 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 185 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.183 * * * * [progress]: [ 186 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.183 * * * * [progress]: [ 187 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 188 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 189 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 190 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))))>
46.183 * * * * [progress]: [ 191 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.183 * * * * [progress]: [ 192 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 1/2)))>
46.183 * * * * [progress]: [ 193 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* 2 1)))>
46.183 * * * * [progress]: [ 194 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (* 2 (/ 1 2))))>
46.183 * * * * [progress]: [ 195 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.183 * * * * [progress]: [ 196 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.183 * * * * [progress]: [ 197 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.183 * * * * [progress]: [ 198 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
46.184 * * * * [progress]: [ 199 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
46.184 * * * * [progress]: [ 200 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 201 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 202 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 203 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 204 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k))))))>
46.184 * * * * [progress]: [ 205 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k))))))>
46.184 * * * * [progress]: [ 206 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 207 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 208 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 209 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 210 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
46.184 * * * * [progress]: [ 211 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
46.184 * * * * [progress]: [ 212 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 213 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 214 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 215 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow n (- 1/2 (/ k 2))) 1))) (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k)))))>
46.184 * * * * [progress]: [ 216 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
46.184 * * * * [progress]: [ 217 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
46.184 * * * * [progress]: [ 218 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
46.184 * * * * [progress]: [ 219 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1)))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.185 * * * * [progress]: [ 220 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 221 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1))) (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.185 * * * * [progress]: [ 222 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
46.185 * * * * [progress]: [ 223 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
46.185 * * * * [progress]: [ 224 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 225 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.185 * * * * [progress]: [ 226 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 227 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1))) (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))))>
46.185 * * * * [progress]: [ 228 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
46.185 * * * * [progress]: [ 229 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
46.185 * * * * [progress]: [ 230 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 231 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.185 * * * * [progress]: [ 232 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 233 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ 1 1))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.185 * * * * [progress]: [ 234 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))))))>
46.185 * * * * [progress]: [ 235 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))))))>
46.185 * * * * [progress]: [ 236 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 237 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
46.185 * * * * [progress]: [ 238 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
46.185 * * * * [progress]: [ 239 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
46.185 * * * * [progress]: [ 240 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt 1)) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.185 * * * * [progress]: [ 241 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (/ 1 (sqrt k)))))>
46.186 * * * * [progress]: [ 242 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 243 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.186 * * * * [progress]: [ 244 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 245 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 246 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 247 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 248 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 249 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 250 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 251 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 252 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 253 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 254 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 255 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 256 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 257 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 258 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 259 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 260 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.186 * * * * [progress]: [ 261 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 262 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 263 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 264 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) 1)) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 265 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 266 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 267 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 268 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt 1))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 269 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 270 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1)) (* (sqrt (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 271 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 272 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 273 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 274 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 275 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 276 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1)) (* (sqrt (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 277 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 278 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 279 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 280 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 281 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.187 * * * * [progress]: [ 282 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 283 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 284 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 285 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 286 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 287 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 288 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1)) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 289 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt 1) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 290 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 291 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 292 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))>
46.188 * * * * [progress]: [ 293 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))>
46.188 * * * * [progress]: [ 294 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt k))))>
46.188 * * * * [progress]: [ 295 / 327 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))))>
46.188 * * * * [progress]: [ 296 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 297 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 298 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 299 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 300 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 301 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 302 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 303 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.188 * * * * [progress]: [ 304 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 305 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 306 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 307 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 308 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 309 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 310 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 311 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 312 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 313 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 314 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 315 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 316 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (- (+ (* 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)))))>
46.189 * * * * [progress]: [ 317 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))))>
46.189 * * * * [progress]: [ 318 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))))>
46.189 * * * * [progress]: [ 319 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (- (+ (* 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))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 320 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 321 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 322 / 327 ] 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)))))))))))))))))))))))>
46.189 * * * * [progress]: [ 323 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
46.189 * * * * [progress]: [ 324 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
46.189 * * * * [progress]: [ 325 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.189 * * * * [progress]: [ 326 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.190 * * * * [progress]: [ 327 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
46.200 * [simplify]: Simplifying:
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))
  (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n (* 2 PI)) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow (* n (* 2 PI)) 1/2)
  (pow (* n (* 2 PI)) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* 2 PI) (- 1/2 (/ k 2)))
  (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (* (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (+ 1 1)
  (+ (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (log (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (log (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (exp (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (cbrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (* (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (sqrt (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
  (* (sqrt (sqrt k)) (sqrt (sqrt k)))
  (* (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))) (sqrt (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)) (sqrt (/ (pow (* n (* 2 PI)) 1/2) 1)))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt k) (cbrt k))))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))))
  (* (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt k)))))
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  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 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 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 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))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
46.210 * * [simplify]: iteration 1: (451 enodes)
46.425 * * [simplify]: iteration 2: (914 enodes)
46.922 * * [simplify]: Extracting #0: cost 145 inf + 0
46.923 * * [simplify]: Extracting #1: cost 584 inf + 2
46.926 * * [simplify]: Extracting #2: cost 799 inf + 2565
46.935 * * [simplify]: Extracting #3: cost 807 inf + 28230
46.964 * * [simplify]: Extracting #4: cost 597 inf + 106573
47.005 * * [simplify]: Extracting #5: cost 315 inf + 242951
47.074 * * [simplify]: Extracting #6: cost 134 inf + 374619
47.139 * * [simplify]: Extracting #7: cost 28 inf + 447494
47.276 * * [simplify]: Extracting #8: cost 2 inf + 467192
47.396 * * [simplify]: Extracting #9: cost 0 inf + 469032
47.506 * [simplify]: Simplified to:
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (* (log (* (* PI 2) n)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* PI 2) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* PI 2) n)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  1
  1
  2
  1
  1
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  2
  (log (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (log (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (* (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (sqrt k)
  (* (* (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))) (* (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))))
  (* (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (cbrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (cbrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (sqrt k)))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (sqrt (* (* PI 2) n))
  (/ (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt k))
  (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow n (- 1/2 (/ k 2)))
  (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (/ 1 (sqrt k))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
  (* (sqrt (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))) (sqrt (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt k)))))
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  (log (* (* PI 2) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 8 (* (* PI PI) PI)) (* n n)) n)
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (cbrt n) (* PI 2))
  (* PI (* 2 (sqrt n)))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (+ (+ (* (* (* (sqrt (* (* PI 2) n)) 1/8) (* k k)) (* (log n) (log n))) (+ (sqrt (* (* PI 2) n)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (sqrt (* (* PI 2) n)))))) (- (* (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (log n))) (* k k)) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/2)))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (+ (+ (* (* (* (sqrt (* (* PI 2) n)) 1/8) (* k k)) (* (log n) (log n))) (+ (sqrt (* (* PI 2) n)) (* (* 1/8 (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) (sqrt (* (* PI 2) n)))))) (- (* (* (* (log (* PI 2)) 1/4) (* (sqrt (* (* PI 2) n)) (log n))) (* k k)) (* (* k (+ (* (sqrt (* (* PI 2) n)) (log n)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/2)))
  (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (+ (- (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* (log n) (* k k)) +nan.0)) (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) (* (* k k) +nan.0))) (- (* (* (sqrt (* (* PI 2) n)) +nan.0) (* (* k (log n)) (* k (log n)))) (+ (- (* +nan.0 (* k (sqrt (* (* PI 2) n)))) (* (sqrt (* (* PI 2) n)) +nan.0)) (+ (- (* (* (sqrt (* (* PI 2) n)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) +nan.0)) (* (* (sqrt (* (* PI 2) n)) +nan.0) (* (log n) (* k k)))) (- (* (sqrt (* (* PI 2) n)) (* (* k k) +nan.0)) (* +nan.0 (- (* (* (sqrt (* (* PI 2) n)) (log (* PI 2))) k) (* (sqrt (* (* PI 2) n)) (* (log n) k))))))))))
  (- (- (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) (* (* k k) k)) (- (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) k) (/ (* (exp (* (- 1/2 (* k 1/2)) (log (* (* PI 2) n)))) +nan.0) (* k k)))))
  (+ (/ (- (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) +nan.0)) k) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
47.554 * * * [progress]: adding candidates to table
52.439 * [progress]: [Phase 3 of 3] Extracting.
52.439 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))> #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (cbrt (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>)
52.440 * * * [regime-changes]: Trying 2 branch expressions: (n k)
52.440 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))> #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (cbrt (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>)
52.510 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt k)) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))))> #<alt (λ (k n) (* (sqrt (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))))> #<alt (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (cbrt (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (* (/ 1 (/ 1 (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))> #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>)
52.561 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
52.562 * [simplify]: Simplifying:
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
52.562 * * [simplify]: iteration 1: (15 enodes)
52.563 * * [simplify]: iteration 2: (17 enodes)
52.564 * * [simplify]: Extracting #0: cost 1 inf + 0
52.564 * * [simplify]: Extracting #1: cost 3 inf + 0
52.564 * * [simplify]: Extracting #2: cost 6 inf + 0
52.564 * * [simplify]: Extracting #3: cost 8 inf + 1
52.564 * * [simplify]: Extracting #4: cost 9 inf + 125
52.564 * * [simplify]: Extracting #5: cost 9 inf + 127
52.564 * * [simplify]: Extracting #6: cost 6 inf + 171
52.564 * * [simplify]: Extracting #7: cost 3 inf + 379
52.565 * * [simplify]: Extracting #8: cost 1 inf + 1170
52.565 * * [simplify]: Extracting #9: cost 0 inf + 1706
52.565 * [simplify]: Simplified to:
  (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
61.310 * [regime-testing]: Baseline error score: 0.3879548237140886
61.313 * [regime-testing]: Oracle error score: 0.06293609803534722
61.317 * [regime-testing]: End program error score: 0.3879548237140886