63.862 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.177 * * * [progress]: [2/2] Setting up program.
0.209 * [progress]: [Phase 2 of 3] Improving.
0.209 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.210 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.210 * * [simplify]: iteration 1: (13 enodes)
0.220 * * [simplify]: iteration 2: (29 enodes)
0.232 * * [simplify]: iteration 3: (60 enodes)
0.257 * * [simplify]: iteration 4: (123 enodes)
0.343 * * [simplify]: iteration 5: (322 enodes)
0.558 * * [simplify]: iteration 6: (817 enodes)
1.629 * * [simplify]: Extracting #0: cost 1 inf + 0
1.629 * * [simplify]: Extracting #1: cost 58 inf + 0
1.630 * * [simplify]: Extracting #2: cost 198 inf + 1
1.632 * * [simplify]: Extracting #3: cost 265 inf + 46
1.634 * * [simplify]: Extracting #4: cost 245 inf + 1713
1.641 * * [simplify]: Extracting #5: cost 180 inf + 14173
1.685 * * [simplify]: Extracting #6: cost 61 inf + 110645
1.752 * * [simplify]: Extracting #7: cost 0 inf + 167860
1.800 * * [simplify]: Extracting #8: cost 0 inf + 164570
1.875 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))
1.883 * * [progress]: iteration 1 / 4
1.883 * * * [progress]: picking best candidate
1.893 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1.893 * * * [progress]: localizing error
1.921 * * * [progress]: generating rewritten candidates
1.921 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.936 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.960 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.989 * * * [progress]: generating series expansions
1.989 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.990 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.990 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.990 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.990 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.990 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.990 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.990 * [taylor]: Taking taylor expansion of 1/2 in k
1.990 * [backup-simplify]: Simplify 1/2 into 1/2
1.991 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.991 * [taylor]: Taking taylor expansion of 1/2 in k
1.991 * [backup-simplify]: Simplify 1/2 into 1/2
1.991 * [taylor]: Taking taylor expansion of k in k
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.991 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.991 * [taylor]: Taking taylor expansion of 2 in k
1.991 * [backup-simplify]: Simplify 2 into 2
1.991 * [taylor]: Taking taylor expansion of (* n PI) in k
1.991 * [taylor]: Taking taylor expansion of n in k
1.991 * [backup-simplify]: Simplify n into n
1.991 * [taylor]: Taking taylor expansion of PI in k
1.991 * [backup-simplify]: Simplify PI into PI
1.991 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.991 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.991 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.992 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.992 * [backup-simplify]: Simplify (- 0) into 0
1.993 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.993 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.993 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.993 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.993 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.993 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.993 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.993 * [taylor]: Taking taylor expansion of 1/2 in n
1.993 * [backup-simplify]: Simplify 1/2 into 1/2
1.993 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.993 * [taylor]: Taking taylor expansion of 1/2 in n
1.993 * [backup-simplify]: Simplify 1/2 into 1/2
1.993 * [taylor]: Taking taylor expansion of k in n
1.993 * [backup-simplify]: Simplify k into k
1.993 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.993 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.993 * [taylor]: Taking taylor expansion of 2 in n
1.993 * [backup-simplify]: Simplify 2 into 2
1.993 * [taylor]: Taking taylor expansion of (* n PI) in n
1.993 * [taylor]: Taking taylor expansion of n in n
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 1 into 1
1.993 * [taylor]: Taking taylor expansion of PI in n
1.993 * [backup-simplify]: Simplify PI into PI
1.994 * [backup-simplify]: Simplify (* 0 PI) into 0
1.994 * [backup-simplify]: Simplify (* 2 0) into 0
1.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.998 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.999 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.999 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.999 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.999 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.000 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.002 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.003 * [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)))))
2.003 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.003 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.003 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.003 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.003 * [taylor]: Taking taylor expansion of 1/2 in n
2.003 * [backup-simplify]: Simplify 1/2 into 1/2
2.003 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.003 * [taylor]: Taking taylor expansion of 1/2 in n
2.003 * [backup-simplify]: Simplify 1/2 into 1/2
2.003 * [taylor]: Taking taylor expansion of k in n
2.003 * [backup-simplify]: Simplify k into k
2.003 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.003 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.003 * [taylor]: Taking taylor expansion of 2 in n
2.003 * [backup-simplify]: Simplify 2 into 2
2.003 * [taylor]: Taking taylor expansion of (* n PI) in n
2.003 * [taylor]: Taking taylor expansion of n in n
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 1 into 1
2.003 * [taylor]: Taking taylor expansion of PI in n
2.003 * [backup-simplify]: Simplify PI into PI
2.004 * [backup-simplify]: Simplify (* 0 PI) into 0
2.004 * [backup-simplify]: Simplify (* 2 0) into 0
2.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.007 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.009 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.009 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.009 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.009 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.010 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.011 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.013 * [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)))))
2.013 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.013 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.013 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.013 * [taylor]: Taking taylor expansion of 1/2 in k
2.013 * [backup-simplify]: Simplify 1/2 into 1/2
2.013 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.013 * [taylor]: Taking taylor expansion of 1/2 in k
2.013 * [backup-simplify]: Simplify 1/2 into 1/2
2.013 * [taylor]: Taking taylor expansion of k in k
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [backup-simplify]: Simplify 1 into 1
2.013 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.013 * [taylor]: Taking taylor expansion of (log n) in k
2.013 * [taylor]: Taking taylor expansion of n in k
2.013 * [backup-simplify]: Simplify n into n
2.013 * [backup-simplify]: Simplify (log n) into (log n)
2.013 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.013 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.013 * [taylor]: Taking taylor expansion of 2 in k
2.013 * [backup-simplify]: Simplify 2 into 2
2.013 * [taylor]: Taking taylor expansion of PI in k
2.013 * [backup-simplify]: Simplify PI into PI
2.014 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.015 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.015 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.016 * [backup-simplify]: Simplify (- 0) into 0
2.016 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.017 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.018 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.020 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.021 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.026 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.027 * [backup-simplify]: Simplify (- 0) into 0
2.027 * [backup-simplify]: Simplify (+ 0 0) into 0
2.029 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.030 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.032 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (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
2.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.034 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.037 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.038 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.042 * [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)))))))
2.045 * [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)))))))
2.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.052 * [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
2.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.053 * [backup-simplify]: Simplify (- 0) into 0
2.054 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.057 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.059 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.059 * [taylor]: Taking taylor expansion of 0 in k
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.066 * [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
2.067 * [backup-simplify]: Simplify (+ 0 0) into 0
2.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.068 * [backup-simplify]: Simplify (- 0) into 0
2.069 * [backup-simplify]: Simplify (+ 0 0) into 0
2.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.079 * [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)))))
2.084 * [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)))))
2.093 * [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)))))
2.093 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.093 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.093 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.093 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.093 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.093 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.093 * [taylor]: Taking taylor expansion of 1/2 in k
2.093 * [backup-simplify]: Simplify 1/2 into 1/2
2.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.094 * [taylor]: Taking taylor expansion of 1/2 in k
2.094 * [backup-simplify]: Simplify 1/2 into 1/2
2.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.094 * [taylor]: Taking taylor expansion of k in k
2.094 * [backup-simplify]: Simplify 0 into 0
2.094 * [backup-simplify]: Simplify 1 into 1
2.094 * [backup-simplify]: Simplify (/ 1 1) into 1
2.094 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.094 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.094 * [taylor]: Taking taylor expansion of 2 in k
2.094 * [backup-simplify]: Simplify 2 into 2
2.094 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.094 * [taylor]: Taking taylor expansion of PI in k
2.094 * [backup-simplify]: Simplify PI into PI
2.094 * [taylor]: Taking taylor expansion of n in k
2.094 * [backup-simplify]: Simplify n into n
2.094 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.094 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.094 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.095 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.095 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.095 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.095 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.096 * [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))))
2.096 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.096 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.096 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.096 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.096 * [taylor]: Taking taylor expansion of 1/2 in n
2.096 * [backup-simplify]: Simplify 1/2 into 1/2
2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.096 * [taylor]: Taking taylor expansion of 1/2 in n
2.096 * [backup-simplify]: Simplify 1/2 into 1/2
2.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.096 * [taylor]: Taking taylor expansion of k in n
2.096 * [backup-simplify]: Simplify k into k
2.096 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.096 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.096 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.096 * [taylor]: Taking taylor expansion of 2 in n
2.096 * [backup-simplify]: Simplify 2 into 2
2.096 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.096 * [taylor]: Taking taylor expansion of PI in n
2.096 * [backup-simplify]: Simplify PI into PI
2.096 * [taylor]: Taking taylor expansion of n in n
2.096 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify 1 into 1
2.096 * [backup-simplify]: Simplify (/ PI 1) into PI
2.097 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.097 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.097 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.097 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.099 * [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)))
2.100 * [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))))
2.100 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.100 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.100 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.100 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.100 * [taylor]: Taking taylor expansion of 1/2 in n
2.100 * [backup-simplify]: Simplify 1/2 into 1/2
2.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.100 * [taylor]: Taking taylor expansion of 1/2 in n
2.100 * [backup-simplify]: Simplify 1/2 into 1/2
2.100 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.100 * [taylor]: Taking taylor expansion of k in n
2.100 * [backup-simplify]: Simplify k into k
2.100 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.100 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.100 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.100 * [taylor]: Taking taylor expansion of 2 in n
2.100 * [backup-simplify]: Simplify 2 into 2
2.100 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.100 * [taylor]: Taking taylor expansion of PI in n
2.100 * [backup-simplify]: Simplify PI into PI
2.100 * [taylor]: Taking taylor expansion of n in n
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 1 into 1
2.101 * [backup-simplify]: Simplify (/ PI 1) into PI
2.101 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.102 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.102 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.102 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.102 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.103 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.103 * [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)))
2.104 * [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))))
2.104 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.104 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.104 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.104 * [taylor]: Taking taylor expansion of 1/2 in k
2.104 * [backup-simplify]: Simplify 1/2 into 1/2
2.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.104 * [taylor]: Taking taylor expansion of 1/2 in k
2.104 * [backup-simplify]: Simplify 1/2 into 1/2
2.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.104 * [taylor]: Taking taylor expansion of k in k
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify (/ 1 1) into 1
2.105 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.105 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.105 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.105 * [taylor]: Taking taylor expansion of 2 in k
2.105 * [backup-simplify]: Simplify 2 into 2
2.105 * [taylor]: Taking taylor expansion of PI in k
2.105 * [backup-simplify]: Simplify PI into PI
2.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.106 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.106 * [taylor]: Taking taylor expansion of (log n) in k
2.106 * [taylor]: Taking taylor expansion of n in k
2.106 * [backup-simplify]: Simplify n into n
2.106 * [backup-simplify]: Simplify (log n) into (log n)
2.106 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.106 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.106 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.106 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.107 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.108 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.109 * [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))))
2.109 * [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))))
2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.110 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.112 * [backup-simplify]: Simplify (- 0) into 0
2.112 * [backup-simplify]: Simplify (+ 0 0) into 0
2.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.114 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.115 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.115 * [taylor]: Taking taylor expansion of 0 in k
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.118 * [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
2.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.119 * [backup-simplify]: Simplify (- 0) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.120 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.121 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.123 * [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
2.123 * [taylor]: Taking taylor expansion of 0 in k
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.128 * [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
2.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.129 * [backup-simplify]: Simplify (- 0) into 0
2.129 * [backup-simplify]: Simplify (+ 0 0) into 0
2.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.131 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.133 * [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
2.133 * [taylor]: Taking taylor expansion of 0 in k
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [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)))))
2.134 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.134 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.134 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.134 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.134 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.134 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.134 * [taylor]: Taking taylor expansion of 1/2 in k
2.134 * [backup-simplify]: Simplify 1/2 into 1/2
2.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.134 * [taylor]: Taking taylor expansion of k in k
2.134 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify 1 into 1
2.134 * [backup-simplify]: Simplify (/ 1 1) into 1
2.134 * [taylor]: Taking taylor expansion of 1/2 in k
2.134 * [backup-simplify]: Simplify 1/2 into 1/2
2.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.134 * [taylor]: Taking taylor expansion of -2 in k
2.134 * [backup-simplify]: Simplify -2 into -2
2.135 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.135 * [taylor]: Taking taylor expansion of PI in k
2.135 * [backup-simplify]: Simplify PI into PI
2.135 * [taylor]: Taking taylor expansion of n in k
2.135 * [backup-simplify]: Simplify n into n
2.135 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.135 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.135 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.135 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.135 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.135 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.135 * [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)))
2.135 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.135 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.135 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.136 * [taylor]: Taking taylor expansion of 1/2 in n
2.136 * [backup-simplify]: Simplify 1/2 into 1/2
2.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.136 * [taylor]: Taking taylor expansion of k in n
2.136 * [backup-simplify]: Simplify k into k
2.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.136 * [taylor]: Taking taylor expansion of 1/2 in n
2.136 * [backup-simplify]: Simplify 1/2 into 1/2
2.136 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.136 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.136 * [taylor]: Taking taylor expansion of -2 in n
2.136 * [backup-simplify]: Simplify -2 into -2
2.136 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.136 * [taylor]: Taking taylor expansion of PI in n
2.136 * [backup-simplify]: Simplify PI into PI
2.136 * [taylor]: Taking taylor expansion of n in n
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 1 into 1
2.136 * [backup-simplify]: Simplify (/ PI 1) into PI
2.136 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.137 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.137 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.137 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.138 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.139 * [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)))
2.140 * [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))))
2.140 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.140 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.140 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.140 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.140 * [taylor]: Taking taylor expansion of 1/2 in n
2.140 * [backup-simplify]: Simplify 1/2 into 1/2
2.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.140 * [taylor]: Taking taylor expansion of k in n
2.140 * [backup-simplify]: Simplify k into k
2.140 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.140 * [taylor]: Taking taylor expansion of 1/2 in n
2.140 * [backup-simplify]: Simplify 1/2 into 1/2
2.140 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.140 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.140 * [taylor]: Taking taylor expansion of -2 in n
2.140 * [backup-simplify]: Simplify -2 into -2
2.140 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.140 * [taylor]: Taking taylor expansion of PI in n
2.140 * [backup-simplify]: Simplify PI into PI
2.140 * [taylor]: Taking taylor expansion of n in n
2.140 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify 1 into 1
2.140 * [backup-simplify]: Simplify (/ PI 1) into PI
2.141 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.141 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.141 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.141 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.143 * [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)))
2.144 * [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))))
2.144 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.144 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.144 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.144 * [taylor]: Taking taylor expansion of 1/2 in k
2.144 * [backup-simplify]: Simplify 1/2 into 1/2
2.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.144 * [taylor]: Taking taylor expansion of k in k
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 1 into 1
2.144 * [backup-simplify]: Simplify (/ 1 1) into 1
2.144 * [taylor]: Taking taylor expansion of 1/2 in k
2.144 * [backup-simplify]: Simplify 1/2 into 1/2
2.144 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.144 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.144 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.144 * [taylor]: Taking taylor expansion of -2 in k
2.144 * [backup-simplify]: Simplify -2 into -2
2.144 * [taylor]: Taking taylor expansion of PI in k
2.144 * [backup-simplify]: Simplify PI into PI
2.145 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.145 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.145 * [taylor]: Taking taylor expansion of (log n) in k
2.145 * [taylor]: Taking taylor expansion of n in k
2.145 * [backup-simplify]: Simplify n into n
2.145 * [backup-simplify]: Simplify (log n) into (log n)
2.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.146 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.146 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.147 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.147 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.148 * [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))))
2.149 * [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))))
2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.150 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.151 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.152 * [backup-simplify]: Simplify (+ 0 0) into 0
2.152 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.153 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.154 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.154 * [taylor]: Taking taylor expansion of 0 in k
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.156 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.158 * [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
2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.158 * [backup-simplify]: Simplify (+ 0 0) into 0
2.159 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.160 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.162 * [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
2.162 * [taylor]: Taking taylor expansion of 0 in k
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 0 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)))) into 0
2.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.167 * [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
2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.170 * [backup-simplify]: Simplify (+ 0 0) into 0
2.171 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.172 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.174 * [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
2.174 * [taylor]: Taking taylor expansion of 0 in k
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 0 into 0
2.175 * [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)))))
2.175 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.175 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
2.175 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.175 * [taylor]: Taking taylor expansion of 2 in n
2.175 * [backup-simplify]: Simplify 2 into 2
2.175 * [taylor]: Taking taylor expansion of (* n PI) in n
2.175 * [taylor]: Taking taylor expansion of n in n
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [taylor]: Taking taylor expansion of PI in n
2.175 * [backup-simplify]: Simplify PI into PI
2.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.175 * [taylor]: Taking taylor expansion of 2 in n
2.175 * [backup-simplify]: Simplify 2 into 2
2.175 * [taylor]: Taking taylor expansion of (* n PI) in n
2.175 * [taylor]: Taking taylor expansion of n in n
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [taylor]: Taking taylor expansion of PI in n
2.175 * [backup-simplify]: Simplify PI into PI
2.176 * [backup-simplify]: Simplify (* 0 PI) into 0
2.176 * [backup-simplify]: Simplify (* 2 0) into 0
2.176 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.178 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.179 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.180 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.181 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.183 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.185 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.187 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.189 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.190 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
2.190 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.190 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.190 * [taylor]: Taking taylor expansion of 2 in n
2.190 * [backup-simplify]: Simplify 2 into 2
2.190 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.190 * [taylor]: Taking taylor expansion of PI in n
2.190 * [backup-simplify]: Simplify PI into PI
2.190 * [taylor]: Taking taylor expansion of n in n
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (/ PI 1) into PI
2.190 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.190 * [taylor]: Taking taylor expansion of 2 in n
2.190 * [backup-simplify]: Simplify 2 into 2
2.190 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.190 * [taylor]: Taking taylor expansion of PI in n
2.190 * [backup-simplify]: Simplify PI into PI
2.190 * [taylor]: Taking taylor expansion of n in n
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (/ PI 1) into PI
2.191 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.191 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.192 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.194 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.196 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.198 * [backup-simplify]: Simplify 0 into 0
2.199 * [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
2.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.200 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
2.200 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.200 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.200 * [taylor]: Taking taylor expansion of -2 in n
2.200 * [backup-simplify]: Simplify -2 into -2
2.201 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.201 * [taylor]: Taking taylor expansion of PI in n
2.201 * [backup-simplify]: Simplify PI into PI
2.201 * [taylor]: Taking taylor expansion of n in n
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify 1 into 1
2.201 * [backup-simplify]: Simplify (/ PI 1) into PI
2.201 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.201 * [taylor]: Taking taylor expansion of -2 in n
2.201 * [backup-simplify]: Simplify -2 into -2
2.201 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.201 * [taylor]: Taking taylor expansion of PI in n
2.201 * [backup-simplify]: Simplify PI into PI
2.201 * [taylor]: Taking taylor expansion of n in n
2.201 * [backup-simplify]: Simplify 0 into 0
2.201 * [backup-simplify]: Simplify 1 into 1
2.201 * [backup-simplify]: Simplify (/ PI 1) into PI
2.202 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.202 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.204 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.206 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.208 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.208 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.213 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.214 * [backup-simplify]: Simplify 0 into 0
2.215 * [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
2.216 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.217 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.218 * [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))))
2.218 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.218 * [taylor]: Taking taylor expansion of k in k
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 1 into 1
2.218 * [backup-simplify]: Simplify (/ 1 1) into 1
2.219 * [backup-simplify]: Simplify (sqrt 0) into 0
2.220 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.220 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.221 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.221 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.221 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.221 * [taylor]: Taking taylor expansion of 1/2 in k
2.221 * [backup-simplify]: Simplify 1/2 into 1/2
2.221 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.221 * [taylor]: Taking taylor expansion of 1/2 in k
2.221 * [backup-simplify]: Simplify 1/2 into 1/2
2.221 * [taylor]: Taking taylor expansion of k in k
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.221 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.221 * [taylor]: Taking taylor expansion of 2 in k
2.221 * [backup-simplify]: Simplify 2 into 2
2.221 * [taylor]: Taking taylor expansion of (* n PI) in k
2.221 * [taylor]: Taking taylor expansion of n in k
2.221 * [backup-simplify]: Simplify n into n
2.221 * [taylor]: Taking taylor expansion of PI in k
2.221 * [backup-simplify]: Simplify PI into PI
2.221 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.221 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.221 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.222 * [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
2.222 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.223 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.223 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.223 * [taylor]: Taking taylor expansion of k in n
2.223 * [backup-simplify]: Simplify k into k
2.223 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.223 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.223 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.223 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.223 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.223 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.223 * [taylor]: Taking taylor expansion of 1/2 in n
2.223 * [backup-simplify]: Simplify 1/2 into 1/2
2.223 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.223 * [taylor]: Taking taylor expansion of 1/2 in n
2.223 * [backup-simplify]: Simplify 1/2 into 1/2
2.223 * [taylor]: Taking taylor expansion of k in n
2.223 * [backup-simplify]: Simplify k into k
2.223 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.223 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.223 * [taylor]: Taking taylor expansion of 2 in n
2.224 * [backup-simplify]: Simplify 2 into 2
2.224 * [taylor]: Taking taylor expansion of (* n PI) in n
2.224 * [taylor]: Taking taylor expansion of n in n
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify 1 into 1
2.224 * [taylor]: Taking taylor expansion of PI in n
2.224 * [backup-simplify]: Simplify PI into PI
2.224 * [backup-simplify]: Simplify (* 0 PI) into 0
2.225 * [backup-simplify]: Simplify (* 2 0) into 0
2.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.227 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.228 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.228 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.229 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.229 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.230 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.231 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.232 * [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)))))
2.232 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.232 * [taylor]: Taking taylor expansion of k in n
2.232 * [backup-simplify]: Simplify k into k
2.232 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.233 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.233 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.233 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.233 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.233 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.233 * [taylor]: Taking taylor expansion of 1/2 in n
2.233 * [backup-simplify]: Simplify 1/2 into 1/2
2.233 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.233 * [taylor]: Taking taylor expansion of 1/2 in n
2.233 * [backup-simplify]: Simplify 1/2 into 1/2
2.233 * [taylor]: Taking taylor expansion of k in n
2.233 * [backup-simplify]: Simplify k into k
2.233 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.233 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.233 * [taylor]: Taking taylor expansion of 2 in n
2.233 * [backup-simplify]: Simplify 2 into 2
2.233 * [taylor]: Taking taylor expansion of (* n PI) in n
2.233 * [taylor]: Taking taylor expansion of n in n
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [taylor]: Taking taylor expansion of PI in n
2.233 * [backup-simplify]: Simplify PI into PI
2.234 * [backup-simplify]: Simplify (* 0 PI) into 0
2.234 * [backup-simplify]: Simplify (* 2 0) into 0
2.236 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.237 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.239 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.239 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.239 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.239 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.240 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.241 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.243 * [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)))))
2.244 * [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)))
2.244 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.244 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.244 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.244 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.244 * [taylor]: Taking taylor expansion of 1/2 in k
2.244 * [backup-simplify]: Simplify 1/2 into 1/2
2.244 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.244 * [taylor]: Taking taylor expansion of 1/2 in k
2.244 * [backup-simplify]: Simplify 1/2 into 1/2
2.244 * [taylor]: Taking taylor expansion of k in k
2.244 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify 1 into 1
2.244 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.244 * [taylor]: Taking taylor expansion of (log n) in k
2.244 * [taylor]: Taking taylor expansion of n in k
2.244 * [backup-simplify]: Simplify n into n
2.244 * [backup-simplify]: Simplify (log n) into (log n)
2.244 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.245 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.245 * [taylor]: Taking taylor expansion of 2 in k
2.245 * [backup-simplify]: Simplify 2 into 2
2.245 * [taylor]: Taking taylor expansion of PI in k
2.245 * [backup-simplify]: Simplify PI into PI
2.245 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.247 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.247 * [backup-simplify]: Simplify (- 0) into 0
2.247 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.249 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.250 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.251 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.251 * [taylor]: Taking taylor expansion of k in k
2.251 * [backup-simplify]: Simplify 0 into 0
2.251 * [backup-simplify]: Simplify 1 into 1
2.252 * [backup-simplify]: Simplify (/ 1 1) into 1
2.252 * [backup-simplify]: Simplify (sqrt 0) into 0
2.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.254 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.254 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.259 * [backup-simplify]: Simplify (- 0) into 0
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.262 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.263 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.264 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.264 * [taylor]: Taking taylor expansion of 0 in k
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.265 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.266 * [backup-simplify]: Simplify (+ 0 0) into 0
2.267 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.267 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.267 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.270 * [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)))))))
2.273 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.274 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.277 * [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
2.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.278 * [backup-simplify]: Simplify (- 0) into 0
2.278 * [backup-simplify]: Simplify (+ 0 0) into 0
2.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.282 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.284 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.286 * [taylor]: Taking taylor expansion of 0 in k
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.289 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.290 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.291 * [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
2.292 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.292 * [backup-simplify]: Simplify (- 0) into 0
2.293 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.298 * [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)))))
2.307 * [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))))))))
2.312 * [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))))))))
2.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.321 * [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
2.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.322 * [backup-simplify]: Simplify (- 0) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.325 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.326 * [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
2.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.328 * [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
2.328 * [taylor]: Taking taylor expansion of 0 in k
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.332 * [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
2.333 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.336 * [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
2.336 * [backup-simplify]: Simplify (+ 0 0) into 0
2.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.337 * [backup-simplify]: Simplify (- 0) into 0
2.338 * [backup-simplify]: Simplify (+ 0 0) into 0
2.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.343 * [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)))))))
2.353 * [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))))))))))))))
2.365 * [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))))))))))))))
2.388 * [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))))))))))))))))))))))
2.389 * [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)))))
2.389 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.389 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.389 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.389 * [taylor]: Taking taylor expansion of k in k
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (sqrt 0) into 0
2.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.391 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.391 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.391 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.391 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.391 * [taylor]: Taking taylor expansion of 1/2 in k
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.391 * [taylor]: Taking taylor expansion of 1/2 in k
2.391 * [backup-simplify]: Simplify 1/2 into 1/2
2.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.391 * [taylor]: Taking taylor expansion of k in k
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.392 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.392 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.392 * [taylor]: Taking taylor expansion of 2 in k
2.392 * [backup-simplify]: Simplify 2 into 2
2.392 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.392 * [taylor]: Taking taylor expansion of PI in k
2.392 * [backup-simplify]: Simplify PI into PI
2.392 * [taylor]: Taking taylor expansion of n in k
2.392 * [backup-simplify]: Simplify n into n
2.392 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.392 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.392 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.393 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.393 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.394 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.394 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.394 * [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))))
2.394 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.394 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.394 * [taylor]: Taking taylor expansion of k in n
2.394 * [backup-simplify]: Simplify k into k
2.394 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.394 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.394 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.394 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.394 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.394 * [taylor]: Taking taylor expansion of 1/2 in n
2.394 * [backup-simplify]: Simplify 1/2 into 1/2
2.394 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.394 * [taylor]: Taking taylor expansion of 1/2 in n
2.394 * [backup-simplify]: Simplify 1/2 into 1/2
2.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.394 * [taylor]: Taking taylor expansion of k in n
2.394 * [backup-simplify]: Simplify k into k
2.395 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.395 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.395 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.395 * [taylor]: Taking taylor expansion of 2 in n
2.395 * [backup-simplify]: Simplify 2 into 2
2.395 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.395 * [taylor]: Taking taylor expansion of PI in n
2.395 * [backup-simplify]: Simplify PI into PI
2.395 * [taylor]: Taking taylor expansion of n in n
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 1 into 1
2.395 * [backup-simplify]: Simplify (/ PI 1) into PI
2.396 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.397 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.397 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.397 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.397 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.399 * [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)))
2.401 * [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))))
2.401 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.401 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.401 * [taylor]: Taking taylor expansion of k in n
2.401 * [backup-simplify]: Simplify k into k
2.401 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.401 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.401 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.401 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.401 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.401 * [taylor]: Taking taylor expansion of 1/2 in n
2.401 * [backup-simplify]: Simplify 1/2 into 1/2
2.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.401 * [taylor]: Taking taylor expansion of 1/2 in n
2.401 * [backup-simplify]: Simplify 1/2 into 1/2
2.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.401 * [taylor]: Taking taylor expansion of k in n
2.401 * [backup-simplify]: Simplify k into k
2.401 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.401 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.401 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.401 * [taylor]: Taking taylor expansion of 2 in n
2.401 * [backup-simplify]: Simplify 2 into 2
2.401 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.401 * [taylor]: Taking taylor expansion of PI in n
2.401 * [backup-simplify]: Simplify PI into PI
2.401 * [taylor]: Taking taylor expansion of n in n
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [backup-simplify]: Simplify 1 into 1
2.402 * [backup-simplify]: Simplify (/ PI 1) into PI
2.402 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.403 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.403 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.404 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.404 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.405 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.406 * [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)))
2.407 * [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))))
2.408 * [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))
2.408 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.408 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.408 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.408 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.408 * [taylor]: Taking taylor expansion of 1/2 in k
2.408 * [backup-simplify]: Simplify 1/2 into 1/2
2.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.408 * [taylor]: Taking taylor expansion of 1/2 in k
2.408 * [backup-simplify]: Simplify 1/2 into 1/2
2.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.408 * [taylor]: Taking taylor expansion of k in k
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (/ 1 1) into 1
2.408 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.408 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.408 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.408 * [taylor]: Taking taylor expansion of 2 in k
2.408 * [backup-simplify]: Simplify 2 into 2
2.408 * [taylor]: Taking taylor expansion of PI in k
2.408 * [backup-simplify]: Simplify PI into PI
2.408 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.409 * [taylor]: Taking taylor expansion of (log n) in k
2.409 * [taylor]: Taking taylor expansion of n in k
2.409 * [backup-simplify]: Simplify n into n
2.409 * [backup-simplify]: Simplify (log n) into (log n)
2.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.410 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.410 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.410 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.411 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.411 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.412 * [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))))
2.412 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.412 * [taylor]: Taking taylor expansion of k in k
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (sqrt 0) into 0
2.413 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.414 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.414 * [backup-simplify]: Simplify 0 into 0
2.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.416 * [backup-simplify]: Simplify (- 0) into 0
2.417 * [backup-simplify]: Simplify (+ 0 0) into 0
2.418 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.418 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.419 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.420 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.420 * [taylor]: Taking taylor expansion of 0 in k
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.421 * [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))))))
2.422 * [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))))))
2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.423 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.425 * [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
2.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.426 * [backup-simplify]: Simplify (- 0) into 0
2.426 * [backup-simplify]: Simplify (+ 0 0) into 0
2.427 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.428 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.429 * [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
2.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.431 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.431 * [taylor]: Taking taylor expansion of 0 in k
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.434 * [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))))))
2.435 * [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))))))
2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.441 * [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
2.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.443 * [backup-simplify]: Simplify (- 0) into 0
2.443 * [backup-simplify]: Simplify (+ 0 0) into 0
2.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.447 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.450 * [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
2.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.452 * [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
2.453 * [taylor]: Taking taylor expansion of 0 in k
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.453 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.459 * [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))))))
2.460 * [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))))))
2.464 * [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)))
2.465 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.465 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.465 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.465 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.465 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.465 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.465 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.465 * [taylor]: Taking taylor expansion of 1/2 in k
2.465 * [backup-simplify]: Simplify 1/2 into 1/2
2.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.465 * [taylor]: Taking taylor expansion of k in k
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [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
2.466 * [backup-simplify]: Simplify PI into PI
2.466 * [taylor]: Taking taylor expansion of n in k
2.466 * [backup-simplify]: Simplify n into n
2.466 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.466 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.466 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.467 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.467 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.467 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.467 * [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)))
2.467 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.467 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.467 * [taylor]: Taking taylor expansion of -1 in k
2.467 * [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
2.468 * [backup-simplify]: Simplify (/ -1 1) into -1
2.468 * [backup-simplify]: Simplify (sqrt 0) into 0
2.470 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.470 * [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))))
2.470 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.470 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.470 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.470 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.470 * [taylor]: Taking taylor expansion of 1/2 in n
2.470 * [backup-simplify]: Simplify 1/2 into 1/2
2.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.470 * [taylor]: Taking taylor expansion of k in n
2.470 * [backup-simplify]: Simplify k into k
2.470 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.470 * [taylor]: Taking taylor expansion of 1/2 in n
2.470 * [backup-simplify]: Simplify 1/2 into 1/2
2.470 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.470 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.470 * [taylor]: Taking taylor expansion of -2 in n
2.470 * [backup-simplify]: Simplify -2 into -2
2.470 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.470 * [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
2.471 * [backup-simplify]: Simplify (/ PI 1) into PI
2.472 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.473 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.473 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.473 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.475 * [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)))
2.476 * [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))))
2.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.476 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.477 * [taylor]: Taking taylor expansion of -1 in n
2.477 * [backup-simplify]: Simplify -1 into -1
2.477 * [taylor]: Taking taylor expansion of k in n
2.477 * [backup-simplify]: Simplify k into k
2.477 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.477 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.477 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.478 * [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)))
2.478 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.478 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.478 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.478 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.478 * [taylor]: Taking taylor expansion of 1/2 in n
2.478 * [backup-simplify]: Simplify 1/2 into 1/2
2.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.478 * [taylor]: Taking taylor expansion of k in n
2.479 * [backup-simplify]: Simplify k into k
2.479 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
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 (log (* -2 (/ PI n))) in n
2.479 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.479 * [taylor]: Taking taylor expansion of -2 in n
2.479 * [backup-simplify]: Simplify -2 into -2
2.479 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.479 * [taylor]: Taking taylor expansion of PI in n
2.479 * [backup-simplify]: Simplify PI into PI
2.479 * [taylor]: Taking taylor expansion of n in n
2.479 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (/ PI 1) into PI
2.480 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.481 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.481 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.481 * [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)))
2.485 * [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))))
2.485 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.485 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.485 * [taylor]: Taking taylor expansion of -1 in n
2.485 * [backup-simplify]: Simplify -1 into -1
2.485 * [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
2.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.487 * [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)))
2.487 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.487 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.487 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.487 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.487 * [taylor]: Taking taylor expansion of 1/2 in k
2.487 * [backup-simplify]: Simplify 1/2 into 1/2
2.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.487 * [taylor]: Taking taylor expansion of k in k
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 1 into 1
2.488 * [backup-simplify]: Simplify (/ 1 1) into 1
2.488 * [taylor]: Taking taylor expansion of 1/2 in k
2.488 * [backup-simplify]: Simplify 1/2 into 1/2
2.488 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.488 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.488 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.488 * [taylor]: Taking taylor expansion of -2 in k
2.488 * [backup-simplify]: Simplify -2 into -2
2.488 * [taylor]: Taking taylor expansion of PI in k
2.488 * [backup-simplify]: Simplify PI into PI
2.488 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.490 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.490 * [taylor]: Taking taylor expansion of (log n) in k
2.490 * [taylor]: Taking taylor expansion of n in k
2.490 * [backup-simplify]: Simplify n into n
2.490 * [backup-simplify]: Simplify (log n) into (log n)
2.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.491 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.491 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.492 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.493 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.494 * [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))))
2.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.494 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.494 * [taylor]: Taking taylor expansion of -1 in k
2.494 * [backup-simplify]: Simplify -1 into -1
2.494 * [taylor]: Taking taylor expansion of k in k
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [backup-simplify]: Simplify (/ -1 1) into -1
2.495 * [backup-simplify]: Simplify (sqrt 0) into 0
2.495 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.496 * [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)))))
2.497 * [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)))))
2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.500 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.504 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.505 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.506 * [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
2.506 * [taylor]: Taking taylor expansion of 0 in k
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.509 * [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))))))
2.510 * [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))))))
2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.514 * [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
2.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.515 * [backup-simplify]: Simplify (+ 0 0) into 0
2.516 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.517 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.518 * [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
2.518 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.520 * [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
2.520 * [taylor]: Taking taylor expansion of 0 in k
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.525 * [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))))))
2.525 * [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))))))
2.530 * [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)))))))))))
2.530 * * * [progress]: simplifying candidates
2.530 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.530 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.530 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.530 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt k)))>
2.530 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
2.531 * * * * [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)))>
2.531 * * * * [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)))>
2.531 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [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)))>
2.531 * * * * [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)))>
2.531 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.531 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.532 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.532 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.532 * * * * [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)))>
2.532 * * * * [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)))>
2.532 * * * * [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)))>
2.532 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.532 * * * * [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)))>
2.532 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
2.532 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.532 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.532 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.532 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.532 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.532 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [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)))>
2.533 * * * * [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)))>
2.533 * * * * [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)))>
2.533 * * * * [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)))>
2.533 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))>
2.533 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.533 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.534 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.534 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.534 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.534 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.534 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.534 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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))))>
2.535 * * * * [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)))))>
2.535 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.535 * * * * [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)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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))))>
2.535 * * * * [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)))))>
2.535 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt k))))>
2.535 * * * * [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)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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))))>
2.536 * * * * [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)))))>
2.536 * * * * [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))))>
2.536 * * * * [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)))))>
2.536 * * * * [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)))))>
2.536 * * * * [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)))))>
2.536 * * * * [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))))>
2.536 * * * * [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)))))>
2.536 * * * * [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))))>
2.536 * * * * [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)))))>
2.536 * * * * [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)))))>
2.536 * * * * [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)))))>
2.536 * * * * [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))))>
2.536 * * * * [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)))))>
2.537 * * * * [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))))>
2.537 * * * * [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)))))>
2.537 * * * * [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)))))>
2.537 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.537 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.537 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.537 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.537 * * * * [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)))))>
2.537 * * * * [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)))))>
2.537 * * * * [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)))))>
2.537 * * * * [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))))>
2.537 * * * * [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)))))>
2.537 * * * * [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))))>
2.538 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))))>
2.538 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.538 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.538 * * * * [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))))>
2.538 * * * * [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))))>
2.538 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.538 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.538 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.538 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.538 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.538 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))>
2.538 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* 2 PI) (- 1/2 (/ k 2))))))>
2.538 * * * * [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)))))))>
2.538 * * * * [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)))))))>
2.538 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
2.539 * * * * [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)))))>
2.539 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
2.539 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))))>
2.539 * * * * [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)))>
2.539 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.539 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.539 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.539 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.539 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.539 * * * * [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)))))))))))))))))))))))>
2.539 * * * * [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)))))))))>
2.539 * * * * [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))))))))))))>
2.542 * [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)))))))))))
2.547 * * [simplify]: iteration 1: (267 enodes)
2.672 * * [simplify]: iteration 2: (644 enodes)
3.267 * * [simplify]: Extracting #0: cost 97 inf + 0
3.267 * * [simplify]: Extracting #1: cost 372 inf + 1
3.271 * * [simplify]: Extracting #2: cost 513 inf + 18891
3.283 * * [simplify]: Extracting #3: cost 411 inf + 87524
3.301 * * [simplify]: Extracting #4: cost 283 inf + 135704
3.346 * * [simplify]: Extracting #5: cost 156 inf + 192203
3.406 * * [simplify]: Extracting #6: cost 96 inf + 227990
3.483 * * [simplify]: Extracting #7: cost 25 inf + 269385
3.552 * * [simplify]: Extracting #8: cost 0 inf + 290477
3.619 * * [simplify]: Extracting #9: cost 0 inf + 287997
3.684 * * [simplify]: Extracting #10: cost 0 inf + 287757
3.747 * [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))))))))
3.763 * * * [progress]: adding candidates to table
4.246 * * [progress]: iteration 2 / 4
4.246 * * * [progress]: picking best candidate
4.277 * * * * [pick]: Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
4.277 * * * [progress]: localizing error
4.310 * * * [progress]: generating rewritten candidates
4.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
4.349 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
4.356 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
4.371 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
4.407 * * * [progress]: generating series expansions
4.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
4.408 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
4.408 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
4.408 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.408 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.408 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.408 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.408 * [taylor]: Taking taylor expansion of 1/2 in k
4.408 * [backup-simplify]: Simplify 1/2 into 1/2
4.408 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.408 * [taylor]: Taking taylor expansion of 1 in k
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [taylor]: Taking taylor expansion of k in k
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.408 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.408 * [taylor]: Taking taylor expansion of 2 in k
4.408 * [backup-simplify]: Simplify 2 into 2
4.408 * [taylor]: Taking taylor expansion of (* n PI) in k
4.408 * [taylor]: Taking taylor expansion of n in k
4.408 * [backup-simplify]: Simplify n into n
4.408 * [taylor]: Taking taylor expansion of PI in k
4.408 * [backup-simplify]: Simplify PI into PI
4.408 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.408 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.408 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.409 * [backup-simplify]: Simplify (- 0) into 0
4.409 * [backup-simplify]: Simplify (+ 1 0) into 1
4.409 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.409 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.409 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.409 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.410 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.410 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.410 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.410 * [taylor]: Taking taylor expansion of 1/2 in n
4.410 * [backup-simplify]: Simplify 1/2 into 1/2
4.410 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.410 * [taylor]: Taking taylor expansion of 1 in n
4.410 * [backup-simplify]: Simplify 1 into 1
4.410 * [taylor]: Taking taylor expansion of k in n
4.410 * [backup-simplify]: Simplify k into k
4.410 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.410 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.410 * [taylor]: Taking taylor expansion of 2 in n
4.410 * [backup-simplify]: Simplify 2 into 2
4.410 * [taylor]: Taking taylor expansion of (* n PI) in n
4.410 * [taylor]: Taking taylor expansion of n in n
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.410 * [taylor]: Taking taylor expansion of PI in n
4.410 * [backup-simplify]: Simplify PI into PI
4.410 * [backup-simplify]: Simplify (* 0 PI) into 0
4.410 * [backup-simplify]: Simplify (* 2 0) into 0
4.412 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.413 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.414 * [backup-simplify]: Simplify (- k) into (- k)
4.414 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.414 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.415 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.415 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.416 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.416 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.416 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.416 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.416 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.416 * [taylor]: Taking taylor expansion of 1/2 in n
4.416 * [backup-simplify]: Simplify 1/2 into 1/2
4.416 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.416 * [taylor]: Taking taylor expansion of 1 in n
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [taylor]: Taking taylor expansion of k in n
4.416 * [backup-simplify]: Simplify k into k
4.416 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.416 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.416 * [taylor]: Taking taylor expansion of 2 in n
4.416 * [backup-simplify]: Simplify 2 into 2
4.416 * [taylor]: Taking taylor expansion of (* n PI) in n
4.416 * [taylor]: Taking taylor expansion of n in n
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.416 * [taylor]: Taking taylor expansion of PI in n
4.416 * [backup-simplify]: Simplify PI into PI
4.417 * [backup-simplify]: Simplify (* 0 PI) into 0
4.417 * [backup-simplify]: Simplify (* 2 0) into 0
4.418 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.419 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.420 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.420 * [backup-simplify]: Simplify (- k) into (- k)
4.420 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.420 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.420 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.421 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.422 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.422 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
4.422 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
4.422 * [taylor]: Taking taylor expansion of 1/2 in k
4.422 * [backup-simplify]: Simplify 1/2 into 1/2
4.422 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
4.422 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.422 * [taylor]: Taking taylor expansion of 1 in k
4.422 * [backup-simplify]: Simplify 1 into 1
4.422 * [taylor]: Taking taylor expansion of k in k
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify 1 into 1
4.422 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
4.422 * [taylor]: Taking taylor expansion of (log n) in k
4.422 * [taylor]: Taking taylor expansion of n in k
4.422 * [backup-simplify]: Simplify n into n
4.422 * [backup-simplify]: Simplify (log n) into (log n)
4.422 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.422 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.422 * [taylor]: Taking taylor expansion of 2 in k
4.422 * [backup-simplify]: Simplify 2 into 2
4.422 * [taylor]: Taking taylor expansion of PI in k
4.422 * [backup-simplify]: Simplify PI into PI
4.423 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.423 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.424 * [backup-simplify]: Simplify (- 0) into 0
4.424 * [backup-simplify]: Simplify (+ 1 0) into 1
4.425 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.425 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
4.426 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
4.427 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.427 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
4.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.429 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.430 * [backup-simplify]: Simplify (- 0) into 0
4.431 * [backup-simplify]: Simplify (+ 0 0) into 0
4.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
4.432 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.433 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.434 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.434 * [taylor]: Taking taylor expansion of 0 in k
4.434 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.435 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.436 * [backup-simplify]: Simplify (+ 0 0) into 0
4.437 * [backup-simplify]: Simplify (- 1) into -1
4.437 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.438 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
4.439 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
4.441 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
4.444 * [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)))))))
4.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.446 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.450 * [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
4.450 * [backup-simplify]: Simplify (- 0) into 0
4.450 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
4.453 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.454 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.457 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.457 * [taylor]: Taking taylor expansion of 0 in k
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 0 into 0
4.459 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.460 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.464 * [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
4.464 * [backup-simplify]: Simplify (+ 0 0) into 0
4.464 * [backup-simplify]: Simplify (- 0) into 0
4.465 * [backup-simplify]: Simplify (+ 0 0) into 0
4.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
4.474 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
4.480 * [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)))))
4.490 * [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)))))
4.491 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
4.491 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
4.491 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.491 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.491 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.491 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.491 * [taylor]: Taking taylor expansion of 1/2 in k
4.491 * [backup-simplify]: Simplify 1/2 into 1/2
4.491 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.491 * [taylor]: Taking taylor expansion of 1 in k
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.491 * [taylor]: Taking taylor expansion of k in k
4.491 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify 1 into 1
4.491 * [backup-simplify]: Simplify (/ 1 1) into 1
4.491 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.491 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.491 * [taylor]: Taking taylor expansion of 2 in k
4.492 * [backup-simplify]: Simplify 2 into 2
4.492 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.492 * [taylor]: Taking taylor expansion of PI in k
4.492 * [backup-simplify]: Simplify PI into PI
4.492 * [taylor]: Taking taylor expansion of n in k
4.492 * [backup-simplify]: Simplify n into n
4.492 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.492 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.492 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.492 * [backup-simplify]: Simplify (- 1) into -1
4.493 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.493 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.493 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.494 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.494 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.494 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.494 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.494 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.494 * [taylor]: Taking taylor expansion of 1/2 in n
4.494 * [backup-simplify]: Simplify 1/2 into 1/2
4.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.494 * [taylor]: Taking taylor expansion of 1 in n
4.494 * [backup-simplify]: Simplify 1 into 1
4.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.494 * [taylor]: Taking taylor expansion of k in n
4.494 * [backup-simplify]: Simplify k into k
4.494 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.494 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.494 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.494 * [taylor]: Taking taylor expansion of 2 in n
4.494 * [backup-simplify]: Simplify 2 into 2
4.494 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.494 * [taylor]: Taking taylor expansion of PI in n
4.494 * [backup-simplify]: Simplify PI into PI
4.494 * [taylor]: Taking taylor expansion of n in n
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.495 * [backup-simplify]: Simplify (/ PI 1) into PI
4.495 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.496 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.497 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.497 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.497 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.498 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.499 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.501 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.501 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.501 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.501 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.501 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.501 * [taylor]: Taking taylor expansion of 1/2 in n
4.501 * [backup-simplify]: Simplify 1/2 into 1/2
4.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.501 * [taylor]: Taking taylor expansion of 1 in n
4.501 * [backup-simplify]: Simplify 1 into 1
4.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.501 * [taylor]: Taking taylor expansion of k in n
4.501 * [backup-simplify]: Simplify k into k
4.501 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.501 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.501 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.501 * [taylor]: Taking taylor expansion of 2 in n
4.501 * [backup-simplify]: Simplify 2 into 2
4.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.501 * [taylor]: Taking taylor expansion of PI in n
4.501 * [backup-simplify]: Simplify PI into PI
4.501 * [taylor]: Taking taylor expansion of n in n
4.501 * [backup-simplify]: Simplify 0 into 0
4.501 * [backup-simplify]: Simplify 1 into 1
4.502 * [backup-simplify]: Simplify (/ PI 1) into PI
4.503 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.504 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.504 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.504 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.504 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.507 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.508 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.508 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
4.508 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
4.508 * [taylor]: Taking taylor expansion of 1/2 in k
4.508 * [backup-simplify]: Simplify 1/2 into 1/2
4.508 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
4.508 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.508 * [taylor]: Taking taylor expansion of 1 in k
4.508 * [backup-simplify]: Simplify 1 into 1
4.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.508 * [taylor]: Taking taylor expansion of k in k
4.508 * [backup-simplify]: Simplify 0 into 0
4.508 * [backup-simplify]: Simplify 1 into 1
4.509 * [backup-simplify]: Simplify (/ 1 1) into 1
4.509 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
4.509 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
4.509 * [taylor]: Taking taylor expansion of (* 2 PI) in k
4.509 * [taylor]: Taking taylor expansion of 2 in k
4.509 * [backup-simplify]: Simplify 2 into 2
4.509 * [taylor]: Taking taylor expansion of PI in k
4.509 * [backup-simplify]: Simplify PI into PI
4.509 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.511 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.511 * [taylor]: Taking taylor expansion of (log n) in k
4.511 * [taylor]: Taking taylor expansion of n in k
4.511 * [backup-simplify]: Simplify n into n
4.511 * [backup-simplify]: Simplify (log n) into (log n)
4.511 * [backup-simplify]: Simplify (- 1) into -1
4.512 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.512 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.513 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
4.514 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
4.515 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
4.516 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.518 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.522 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.523 * [backup-simplify]: Simplify (- 0) into 0
4.523 * [backup-simplify]: Simplify (+ 0 0) into 0
4.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
4.525 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.527 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.529 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.529 * [taylor]: Taking taylor expansion of 0 in k
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 0 into 0
4.529 * [backup-simplify]: Simplify 0 into 0
4.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.531 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.538 * [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
4.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.539 * [backup-simplify]: Simplify (- 0) into 0
4.540 * [backup-simplify]: Simplify (+ 0 0) into 0
4.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
4.543 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.544 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
4.547 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.547 * [taylor]: Taking taylor expansion of 0 in k
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.555 * [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
4.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.556 * [backup-simplify]: Simplify (- 0) into 0
4.557 * [backup-simplify]: Simplify (+ 0 0) into 0
4.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
4.559 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.561 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
4.564 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.564 * [taylor]: Taking taylor expansion of 0 in k
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 0 into 0
4.566 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
4.566 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
4.566 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
4.566 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
4.566 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
4.566 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
4.566 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
4.566 * [taylor]: Taking taylor expansion of 1/2 in k
4.567 * [backup-simplify]: Simplify 1/2 into 1/2
4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.567 * [taylor]: Taking taylor expansion of k in k
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify (/ 1 1) into 1
4.567 * [taylor]: Taking taylor expansion of 1 in k
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
4.567 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
4.567 * [taylor]: Taking taylor expansion of -2 in k
4.567 * [backup-simplify]: Simplify -2 into -2
4.567 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.567 * [taylor]: Taking taylor expansion of PI in k
4.567 * [backup-simplify]: Simplify PI into PI
4.567 * [taylor]: Taking taylor expansion of n in k
4.567 * [backup-simplify]: Simplify n into n
4.567 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.567 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
4.568 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
4.568 * [backup-simplify]: Simplify (+ 1 0) into 1
4.568 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.569 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
4.569 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
4.569 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.569 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.569 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.569 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.569 * [taylor]: Taking taylor expansion of 1/2 in n
4.569 * [backup-simplify]: Simplify 1/2 into 1/2
4.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.569 * [taylor]: Taking taylor expansion of k in n
4.569 * [backup-simplify]: Simplify k into k
4.569 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.569 * [taylor]: Taking taylor expansion of 1 in n
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.569 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.569 * [taylor]: Taking taylor expansion of -2 in n
4.569 * [backup-simplify]: Simplify -2 into -2
4.569 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.569 * [taylor]: Taking taylor expansion of PI in n
4.569 * [backup-simplify]: Simplify PI into PI
4.569 * [taylor]: Taking taylor expansion of n in n
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.570 * [backup-simplify]: Simplify (/ PI 1) into PI
4.570 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.571 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.572 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.572 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.574 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.575 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.576 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.576 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
4.576 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
4.576 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
4.576 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
4.576 * [taylor]: Taking taylor expansion of 1/2 in n
4.576 * [backup-simplify]: Simplify 1/2 into 1/2
4.576 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
4.576 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.577 * [taylor]: Taking taylor expansion of k in n
4.577 * [backup-simplify]: Simplify k into k
4.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.577 * [taylor]: Taking taylor expansion of 1 in n
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
4.577 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.577 * [taylor]: Taking taylor expansion of -2 in n
4.577 * [backup-simplify]: Simplify -2 into -2
4.577 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.577 * [taylor]: Taking taylor expansion of PI in n
4.577 * [backup-simplify]: Simplify PI into PI
4.577 * [taylor]: Taking taylor expansion of n in n
4.577 * [backup-simplify]: Simplify 0 into 0
4.577 * [backup-simplify]: Simplify 1 into 1
4.577 * [backup-simplify]: Simplify (/ PI 1) into PI
4.578 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.579 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.579 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
4.579 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
4.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.582 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
4.583 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.584 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
4.584 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
4.584 * [taylor]: Taking taylor expansion of 1/2 in k
4.584 * [backup-simplify]: Simplify 1/2 into 1/2
4.584 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
4.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
4.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.584 * [taylor]: Taking taylor expansion of k in k
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.584 * [backup-simplify]: Simplify (/ 1 1) into 1
4.584 * [taylor]: Taking taylor expansion of 1 in k
4.584 * [backup-simplify]: Simplify 1 into 1
4.584 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
4.584 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
4.584 * [taylor]: Taking taylor expansion of (* -2 PI) in k
4.584 * [taylor]: Taking taylor expansion of -2 in k
4.584 * [backup-simplify]: Simplify -2 into -2
4.585 * [taylor]: Taking taylor expansion of PI in k
4.585 * [backup-simplify]: Simplify PI into PI
4.585 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.586 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
4.586 * [taylor]: Taking taylor expansion of (log n) in k
4.586 * [taylor]: Taking taylor expansion of n in k
4.586 * [backup-simplify]: Simplify n into n
4.586 * [backup-simplify]: Simplify (log n) into (log n)
4.587 * [backup-simplify]: Simplify (+ 1 0) into 1
4.587 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.588 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
4.589 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
4.590 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
4.591 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.593 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
4.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
4.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.597 * [backup-simplify]: Simplify (+ 0 0) into 0
4.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
4.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.600 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
4.603 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.603 * [taylor]: Taking taylor expansion of 0 in k
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.603 * [backup-simplify]: Simplify 0 into 0
4.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.605 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.609 * [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
4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.610 * [backup-simplify]: Simplify (+ 0 0) into 0
4.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
4.613 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.614 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
4.617 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.617 * [taylor]: Taking taylor expansion of 0 in k
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.617 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.620 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.626 * [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
4.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
4.627 * [backup-simplify]: Simplify (+ 0 0) into 0
4.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
4.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
4.632 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
4.636 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.636 * [taylor]: Taking taylor expansion of 0 in k
4.636 * [backup-simplify]: Simplify 0 into 0
4.636 * [backup-simplify]: Simplify 0 into 0
4.637 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
4.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
4.637 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
4.637 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
4.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.637 * [taylor]: Taking taylor expansion of k in k
4.638 * [backup-simplify]: Simplify 0 into 0
4.638 * [backup-simplify]: Simplify 1 into 1
4.638 * [backup-simplify]: Simplify (/ 1 1) into 1
4.638 * [backup-simplify]: Simplify (sqrt 0) into 0
4.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.640 * [taylor]: Taking taylor expansion of k in k
4.640 * [backup-simplify]: Simplify 0 into 0
4.640 * [backup-simplify]: Simplify 1 into 1
4.640 * [backup-simplify]: Simplify (/ 1 1) into 1
4.641 * [backup-simplify]: Simplify (sqrt 0) into 0
4.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.642 * [backup-simplify]: Simplify 0 into 0
4.642 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.646 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.652 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.652 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
4.652 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
4.652 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
4.652 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.652 * [taylor]: Taking taylor expansion of k in k
4.652 * [backup-simplify]: Simplify 0 into 0
4.652 * [backup-simplify]: Simplify 1 into 1
4.653 * [backup-simplify]: Simplify (sqrt 0) into 0
4.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.654 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.654 * [taylor]: Taking taylor expansion of k in k
4.654 * [backup-simplify]: Simplify 0 into 0
4.654 * [backup-simplify]: Simplify 1 into 1
4.655 * [backup-simplify]: Simplify (sqrt 0) into 0
4.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.656 * [backup-simplify]: Simplify 0 into 0
4.656 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.659 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.659 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.663 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.664 * [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))))))))
4.664 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
4.664 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
4.664 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.664 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.664 * [taylor]: Taking taylor expansion of -1 in k
4.664 * [backup-simplify]: Simplify -1 into -1
4.664 * [taylor]: Taking taylor expansion of k in k
4.664 * [backup-simplify]: Simplify 0 into 0
4.664 * [backup-simplify]: Simplify 1 into 1
4.664 * [backup-simplify]: Simplify (/ -1 1) into -1
4.665 * [backup-simplify]: Simplify (sqrt 0) into 0
4.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.667 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.667 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
4.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
4.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k
4.667 * [taylor]: Taking taylor expansion of -1 in k
4.667 * [backup-simplify]: Simplify -1 into -1
4.667 * [taylor]: Taking taylor expansion of k in k
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify 1 into 1
4.667 * [backup-simplify]: Simplify (/ -1 1) into -1
4.668 * [backup-simplify]: Simplify (sqrt 0) into 0
4.669 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
4.670 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
4.670 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.673 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.675 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
4.676 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.685 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
4.685 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
4.686 * [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)))))
4.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
4.687 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.687 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
4.687 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.687 * [taylor]: Taking taylor expansion of 2 in n
4.687 * [backup-simplify]: Simplify 2 into 2
4.687 * [taylor]: Taking taylor expansion of (* n PI) in n
4.687 * [taylor]: Taking taylor expansion of n in n
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [taylor]: Taking taylor expansion of PI in n
4.687 * [backup-simplify]: Simplify PI into PI
4.687 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.687 * [taylor]: Taking taylor expansion of 2 in n
4.687 * [backup-simplify]: Simplify 2 into 2
4.687 * [taylor]: Taking taylor expansion of (* n PI) in n
4.687 * [taylor]: Taking taylor expansion of n in n
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [taylor]: Taking taylor expansion of PI in n
4.687 * [backup-simplify]: Simplify PI into PI
4.688 * [backup-simplify]: Simplify (* 0 PI) into 0
4.692 * [backup-simplify]: Simplify (* 2 0) into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.695 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.696 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.697 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.697 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
4.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
4.699 * [backup-simplify]: Simplify 0 into 0
4.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
4.701 * [backup-simplify]: Simplify 0 into 0
4.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
4.702 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
4.704 * [backup-simplify]: Simplify 0 into 0
4.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
4.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
4.706 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
4.707 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
4.707 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
4.707 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.707 * [taylor]: Taking taylor expansion of 2 in n
4.707 * [backup-simplify]: Simplify 2 into 2
4.707 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.707 * [taylor]: Taking taylor expansion of PI in n
4.707 * [backup-simplify]: Simplify PI into PI
4.707 * [taylor]: Taking taylor expansion of n in n
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (/ PI 1) into PI
4.708 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.708 * [taylor]: Taking taylor expansion of 2 in n
4.708 * [backup-simplify]: Simplify 2 into 2
4.708 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.708 * [taylor]: Taking taylor expansion of PI in n
4.708 * [backup-simplify]: Simplify PI into PI
4.708 * [taylor]: Taking taylor expansion of n in n
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (/ PI 1) into PI
4.708 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.709 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.710 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.710 * [backup-simplify]: Simplify 0 into 0
4.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.711 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
4.711 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.714 * [backup-simplify]: Simplify 0 into 0
4.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [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
4.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
4.718 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
4.718 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
4.718 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.718 * [taylor]: Taking taylor expansion of -2 in n
4.718 * [backup-simplify]: Simplify -2 into -2
4.718 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.718 * [taylor]: Taking taylor expansion of PI in n
4.718 * [backup-simplify]: Simplify PI into PI
4.718 * [taylor]: Taking taylor expansion of n in n
4.718 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (/ PI 1) into PI
4.719 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
4.719 * [taylor]: Taking taylor expansion of -2 in n
4.719 * [backup-simplify]: Simplify -2 into -2
4.719 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.719 * [taylor]: Taking taylor expansion of PI in n
4.719 * [backup-simplify]: Simplify PI into PI
4.719 * [taylor]: Taking taylor expansion of n in n
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.719 * [backup-simplify]: Simplify (/ PI 1) into PI
4.719 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.720 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
4.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.721 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
4.722 * [backup-simplify]: Simplify 0 into 0
4.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.723 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.723 * [backup-simplify]: Simplify 0 into 0
4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.725 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
4.725 * [backup-simplify]: Simplify 0 into 0
4.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
4.726 * [backup-simplify]: Simplify 0 into 0
4.727 * [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
4.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
4.728 * [backup-simplify]: Simplify 0 into 0
4.728 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
4.728 * * * * [progress]: [ 4 / 4 ] generating series at (2)
4.729 * [backup-simplify]: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
4.729 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
4.729 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
4.729 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
4.729 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
4.729 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
4.729 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
4.729 * [taylor]: Taking taylor expansion of 1/2 in n
4.729 * [backup-simplify]: Simplify 1/2 into 1/2
4.729 * [taylor]: Taking taylor expansion of (- 1 k) in n
4.729 * [taylor]: Taking taylor expansion of 1 in n
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [taylor]: Taking taylor expansion of k in n
4.729 * [backup-simplify]: Simplify k into k
4.729 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.729 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.729 * [taylor]: Taking taylor expansion of 2 in n
4.729 * [backup-simplify]: Simplify 2 into 2
4.729 * [taylor]: Taking taylor expansion of (* n PI) in n
4.729 * [taylor]: Taking taylor expansion of n in n
4.729 * [backup-simplify]: Simplify 0 into 0
4.729 * [backup-simplify]: Simplify 1 into 1
4.729 * [taylor]: Taking taylor expansion of PI in n
4.729 * [backup-simplify]: Simplify PI into PI
4.730 * [backup-simplify]: Simplify (* 0 PI) into 0
4.730 * [backup-simplify]: Simplify (* 2 0) into 0
4.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.732 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.733 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.733 * [backup-simplify]: Simplify (- k) into (- k)
4.733 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
4.733 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
4.734 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.734 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
4.735 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
4.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
4.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.735 * [taylor]: Taking taylor expansion of k in n
4.735 * [backup-simplify]: Simplify k into k
4.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.735 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
4.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
4.735 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.735 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.735 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.735 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.735 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.735 * [taylor]: Taking taylor expansion of 1/2 in k
4.735 * [backup-simplify]: Simplify 1/2 into 1/2
4.735 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.735 * [taylor]: Taking taylor expansion of 1 in k
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [taylor]: Taking taylor expansion of k in k
4.735 * [backup-simplify]: Simplify 0 into 0
4.735 * [backup-simplify]: Simplify 1 into 1
4.735 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.735 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.735 * [taylor]: Taking taylor expansion of 2 in k
4.735 * [backup-simplify]: Simplify 2 into 2
4.736 * [taylor]: Taking taylor expansion of (* n PI) in k
4.736 * [taylor]: Taking taylor expansion of n in k
4.736 * [backup-simplify]: Simplify n into n
4.736 * [taylor]: Taking taylor expansion of PI in k
4.736 * [backup-simplify]: Simplify PI into PI
4.736 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.736 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.736 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.736 * [backup-simplify]: Simplify (- 0) into 0
4.736 * [backup-simplify]: Simplify (+ 1 0) into 1
4.736 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.737 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.737 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.737 * [taylor]: Taking taylor expansion of k in k
4.737 * [backup-simplify]: Simplify 0 into 0
4.737 * [backup-simplify]: Simplify 1 into 1
4.737 * [backup-simplify]: Simplify (/ 1 1) into 1
4.737 * [backup-simplify]: Simplify (sqrt 0) into 0
4.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.738 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
4.738 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
4.738 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
4.738 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
4.739 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
4.739 * [taylor]: Taking taylor expansion of 1/2 in k
4.739 * [backup-simplify]: Simplify 1/2 into 1/2
4.739 * [taylor]: Taking taylor expansion of (- 1 k) in k
4.739 * [taylor]: Taking taylor expansion of 1 in k
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [taylor]: Taking taylor expansion of k in k
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
4.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
4.739 * [taylor]: Taking taylor expansion of 2 in k
4.739 * [backup-simplify]: Simplify 2 into 2
4.739 * [taylor]: Taking taylor expansion of (* n PI) in k
4.739 * [taylor]: Taking taylor expansion of n in k
4.739 * [backup-simplify]: Simplify n into n
4.739 * [taylor]: Taking taylor expansion of PI in k
4.739 * [backup-simplify]: Simplify PI into PI
4.739 * [backup-simplify]: Simplify (* n PI) into (* n PI)
4.739 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
4.739 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
4.739 * [backup-simplify]: Simplify (- 0) into 0
4.740 * [backup-simplify]: Simplify (+ 1 0) into 1
4.740 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.740 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
4.741 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
4.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
4.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.741 * [taylor]: Taking taylor expansion of k in k
4.741 * [backup-simplify]: Simplify 0 into 0
4.741 * [backup-simplify]: Simplify 1 into 1
4.741 * [backup-simplify]: Simplify (/ 1 1) into 1
4.741 * [backup-simplify]: Simplify (sqrt 0) into 0
4.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.743 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
4.743 * [taylor]: Taking taylor expansion of 0 in n
4.743 * [backup-simplify]: Simplify 0 into 0
4.743 * [backup-simplify]: Simplify 0 into 0
4.744 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
4.744 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
4.745 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
4.746 * [backup-simplify]: Simplify (- 1) into -1
4.746 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.747 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
4.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
4.748 * [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)))))
4.748 * [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)))))
4.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.748 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.748 * [taylor]: Taking taylor expansion of +nan.0 in n
4.748 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.748 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.748 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.748 * [taylor]: Taking taylor expansion of 2 in n
4.748 * [backup-simplify]: Simplify 2 into 2
4.749 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.749 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.749 * [taylor]: Taking taylor expansion of (* n PI) in n
4.749 * [taylor]: Taking taylor expansion of n in n
4.749 * [backup-simplify]: Simplify 0 into 0
4.749 * [backup-simplify]: Simplify 1 into 1
4.749 * [taylor]: Taking taylor expansion of PI in n
4.749 * [backup-simplify]: Simplify PI into PI
4.750 * [backup-simplify]: Simplify (* 0 PI) into 0
4.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.752 * [backup-simplify]: Simplify (sqrt 0) into 0
4.753 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.754 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.754 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.755 * [backup-simplify]: Simplify (- 0) into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.755 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.758 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.759 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
4.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
4.762 * [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
4.762 * [backup-simplify]: Simplify (- 0) into 0
4.763 * [backup-simplify]: Simplify (+ 0 0) into 0
4.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
4.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
4.766 * [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)))
4.767 * [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)))))))
4.767 * [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
4.767 * [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
4.767 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.767 * [taylor]: Taking taylor expansion of +nan.0 in n
4.767 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.767 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.767 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.767 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.767 * [taylor]: Taking taylor expansion of 2 in n
4.767 * [backup-simplify]: Simplify 2 into 2
4.768 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.768 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.768 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.768 * [taylor]: Taking taylor expansion of 2 in n
4.768 * [backup-simplify]: Simplify 2 into 2
4.768 * [taylor]: Taking taylor expansion of (* n PI) in n
4.768 * [taylor]: Taking taylor expansion of n in n
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [taylor]: Taking taylor expansion of PI in n
4.768 * [backup-simplify]: Simplify PI into PI
4.769 * [backup-simplify]: Simplify (* 0 PI) into 0
4.769 * [backup-simplify]: Simplify (* 2 0) into 0
4.771 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.773 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.774 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.774 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.774 * [taylor]: Taking taylor expansion of (* n PI) in n
4.774 * [taylor]: Taking taylor expansion of n in n
4.774 * [backup-simplify]: Simplify 0 into 0
4.774 * [backup-simplify]: Simplify 1 into 1
4.774 * [taylor]: Taking taylor expansion of PI in n
4.774 * [backup-simplify]: Simplify PI into PI
4.774 * [backup-simplify]: Simplify (* 0 PI) into 0
4.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.776 * [backup-simplify]: Simplify (sqrt 0) into 0
4.778 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
4.778 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.778 * [taylor]: Taking taylor expansion of +nan.0 in n
4.778 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.778 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.778 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.778 * [taylor]: Taking taylor expansion of 2 in n
4.778 * [backup-simplify]: Simplify 2 into 2
4.778 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.779 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.779 * [taylor]: Taking taylor expansion of (* n PI) in n
4.779 * [taylor]: Taking taylor expansion of n in n
4.779 * [backup-simplify]: Simplify 0 into 0
4.779 * [backup-simplify]: Simplify 1 into 1
4.779 * [taylor]: Taking taylor expansion of PI in n
4.779 * [backup-simplify]: Simplify PI into PI
4.780 * [backup-simplify]: Simplify (* 0 PI) into 0
4.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.782 * [backup-simplify]: Simplify (sqrt 0) into 0
4.783 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.785 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.786 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
4.788 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
4.788 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.789 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.789 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.789 * [backup-simplify]: Simplify (- 0) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.790 * [backup-simplify]: Simplify (- 0) into 0
4.790 * [backup-simplify]: Simplify 0 into 0
4.793 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.799 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.803 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.812 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.812 * [backup-simplify]: Simplify 0 into 0
4.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.818 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
4.819 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
4.822 * [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
4.822 * [backup-simplify]: Simplify (- 0) into 0
4.823 * [backup-simplify]: Simplify (+ 0 0) into 0
4.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
4.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
4.827 * [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)))
4.829 * [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)))))))))
4.829 * [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
4.829 * [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
4.829 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
4.829 * [taylor]: Taking taylor expansion of +nan.0 in n
4.829 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.829 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
4.829 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
4.829 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.829 * [taylor]: Taking taylor expansion of 2 in n
4.829 * [backup-simplify]: Simplify 2 into 2
4.829 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.830 * [taylor]: Taking taylor expansion of 2 in n
4.830 * [backup-simplify]: Simplify 2 into 2
4.830 * [taylor]: Taking taylor expansion of (* n PI) in n
4.830 * [taylor]: Taking taylor expansion of n in n
4.830 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify 1 into 1
4.830 * [taylor]: Taking taylor expansion of PI in n
4.830 * [backup-simplify]: Simplify PI into PI
4.831 * [backup-simplify]: Simplify (* 0 PI) into 0
4.831 * [backup-simplify]: Simplify (* 2 0) into 0
4.833 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.834 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.835 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.835 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.835 * [taylor]: Taking taylor expansion of (* n PI) in n
4.835 * [taylor]: Taking taylor expansion of n in n
4.835 * [backup-simplify]: Simplify 0 into 0
4.835 * [backup-simplify]: Simplify 1 into 1
4.835 * [taylor]: Taking taylor expansion of PI in n
4.835 * [backup-simplify]: Simplify PI into PI
4.836 * [backup-simplify]: Simplify (* 0 PI) into 0
4.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.838 * [backup-simplify]: Simplify (sqrt 0) into 0
4.839 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.839 * [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
4.839 * [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
4.839 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
4.839 * [taylor]: Taking taylor expansion of +nan.0 in n
4.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.839 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
4.839 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.839 * [taylor]: Taking taylor expansion of 2 in n
4.839 * [backup-simplify]: Simplify 2 into 2
4.840 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.840 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.840 * [taylor]: Taking taylor expansion of (* n PI) in n
4.840 * [taylor]: Taking taylor expansion of n in n
4.840 * [backup-simplify]: Simplify 0 into 0
4.840 * [backup-simplify]: Simplify 1 into 1
4.840 * [taylor]: Taking taylor expansion of PI in n
4.840 * [backup-simplify]: Simplify PI into PI
4.841 * [backup-simplify]: Simplify (* 0 PI) into 0
4.842 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.843 * [backup-simplify]: Simplify (sqrt 0) into 0
4.844 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
4.844 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
4.844 * [taylor]: Taking taylor expansion of +nan.0 in n
4.844 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.844 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
4.844 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
4.844 * [taylor]: Taking taylor expansion of (sqrt 2) in n
4.844 * [taylor]: Taking taylor expansion of 2 in n
4.844 * [backup-simplify]: Simplify 2 into 2
4.845 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
4.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
4.845 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
4.845 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
4.845 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
4.845 * [taylor]: Taking taylor expansion of 2 in n
4.845 * [backup-simplify]: Simplify 2 into 2
4.845 * [taylor]: Taking taylor expansion of (* n PI) in n
4.845 * [taylor]: Taking taylor expansion of n in n
4.845 * [backup-simplify]: Simplify 0 into 0
4.845 * [backup-simplify]: Simplify 1 into 1
4.845 * [taylor]: Taking taylor expansion of PI in n
4.846 * [backup-simplify]: Simplify PI into PI
4.846 * [backup-simplify]: Simplify (* 0 PI) into 0
4.846 * [backup-simplify]: Simplify (* 2 0) into 0
4.848 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.849 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
4.850 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.852 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.852 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
4.852 * [taylor]: Taking taylor expansion of (* n PI) in n
4.852 * [taylor]: Taking taylor expansion of n in n
4.852 * [backup-simplify]: Simplify 0 into 0
4.852 * [backup-simplify]: Simplify 1 into 1
4.852 * [taylor]: Taking taylor expansion of PI in n
4.852 * [backup-simplify]: Simplify PI into PI
4.853 * [backup-simplify]: Simplify (* 0 PI) into 0
4.854 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
4.855 * [backup-simplify]: Simplify (sqrt 0) into 0
4.856 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
4.858 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.859 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
4.860 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
4.861 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.861 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
4.862 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.863 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.865 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.867 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
4.868 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
4.870 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
4.870 * [backup-simplify]: Simplify (* +nan.0 0) into 0
4.871 * [backup-simplify]: Simplify (- 0) into 0
4.871 * [backup-simplify]: Simplify (+ 0 0) into 0
4.871 * [backup-simplify]: Simplify (- 0) into 0
4.872 * [backup-simplify]: Simplify (+ 0 0) into 0
4.872 * [backup-simplify]: Simplify (- 0) into 0
4.872 * [backup-simplify]: Simplify 0 into 0
4.873 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
4.876 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.878 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
4.880 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
4.882 * [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))))))))
4.889 * [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))))))))
4.891 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.894 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
4.896 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
4.901 * [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))))))))))
4.906 * [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)))))))
4.911 * [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)))))))
4.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
4.914 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
4.915 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
4.918 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.923 * [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))))
4.931 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.935 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
4.946 * [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)))))))))))))
4.946 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
4.946 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
4.947 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
4.947 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
4.947 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
4.947 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
4.947 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
4.947 * [taylor]: Taking taylor expansion of 1/2 in n
4.947 * [backup-simplify]: Simplify 1/2 into 1/2
4.947 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.947 * [taylor]: Taking taylor expansion of 1 in n
4.947 * [backup-simplify]: Simplify 1 into 1
4.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.947 * [taylor]: Taking taylor expansion of k in n
4.947 * [backup-simplify]: Simplify k into k
4.947 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.947 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.947 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.947 * [taylor]: Taking taylor expansion of 2 in n
4.947 * [backup-simplify]: Simplify 2 into 2
4.947 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.947 * [taylor]: Taking taylor expansion of PI in n
4.947 * [backup-simplify]: Simplify PI into PI
4.947 * [taylor]: Taking taylor expansion of n in n
4.947 * [backup-simplify]: Simplify 0 into 0
4.947 * [backup-simplify]: Simplify 1 into 1
4.947 * [backup-simplify]: Simplify (/ PI 1) into PI
4.948 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.948 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.948 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.948 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
4.949 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.950 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.951 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.951 * [taylor]: Taking taylor expansion of (sqrt k) in n
4.951 * [taylor]: Taking taylor expansion of k in n
4.951 * [backup-simplify]: Simplify k into k
4.951 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
4.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
4.951 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
4.951 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.951 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.951 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.951 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.951 * [taylor]: Taking taylor expansion of 1/2 in k
4.951 * [backup-simplify]: Simplify 1/2 into 1/2
4.951 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.951 * [taylor]: Taking taylor expansion of 1 in k
4.951 * [backup-simplify]: Simplify 1 into 1
4.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.951 * [taylor]: Taking taylor expansion of k in k
4.951 * [backup-simplify]: Simplify 0 into 0
4.951 * [backup-simplify]: Simplify 1 into 1
4.951 * [backup-simplify]: Simplify (/ 1 1) into 1
4.951 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.951 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.951 * [taylor]: Taking taylor expansion of 2 in k
4.951 * [backup-simplify]: Simplify 2 into 2
4.951 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.951 * [taylor]: Taking taylor expansion of PI in k
4.951 * [backup-simplify]: Simplify PI into PI
4.951 * [taylor]: Taking taylor expansion of n in k
4.951 * [backup-simplify]: Simplify n into n
4.951 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.952 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.952 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.952 * [backup-simplify]: Simplify (- 1) into -1
4.952 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.952 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.952 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.953 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.953 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.953 * [taylor]: Taking taylor expansion of k in k
4.953 * [backup-simplify]: Simplify 0 into 0
4.953 * [backup-simplify]: Simplify 1 into 1
4.953 * [backup-simplify]: Simplify (sqrt 0) into 0
4.954 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.954 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
4.954 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
4.954 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
4.954 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
4.954 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
4.954 * [taylor]: Taking taylor expansion of 1/2 in k
4.954 * [backup-simplify]: Simplify 1/2 into 1/2
4.954 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
4.954 * [taylor]: Taking taylor expansion of 1 in k
4.954 * [backup-simplify]: Simplify 1 into 1
4.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.954 * [taylor]: Taking taylor expansion of k in k
4.954 * [backup-simplify]: Simplify 0 into 0
4.954 * [backup-simplify]: Simplify 1 into 1
4.954 * [backup-simplify]: Simplify (/ 1 1) into 1
4.954 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
4.954 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
4.954 * [taylor]: Taking taylor expansion of 2 in k
4.954 * [backup-simplify]: Simplify 2 into 2
4.954 * [taylor]: Taking taylor expansion of (/ PI n) in k
4.954 * [taylor]: Taking taylor expansion of PI in k
4.954 * [backup-simplify]: Simplify PI into PI
4.954 * [taylor]: Taking taylor expansion of n in k
4.954 * [backup-simplify]: Simplify n into n
4.954 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
4.955 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
4.955 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
4.955 * [backup-simplify]: Simplify (- 1) into -1
4.955 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.955 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
4.955 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
4.956 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
4.956 * [taylor]: Taking taylor expansion of (sqrt k) in k
4.956 * [taylor]: Taking taylor expansion of k in k
4.956 * [backup-simplify]: Simplify 0 into 0
4.956 * [backup-simplify]: Simplify 1 into 1
4.956 * [backup-simplify]: Simplify (sqrt 0) into 0
4.957 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.957 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
4.957 * [taylor]: Taking taylor expansion of 0 in n
4.957 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify 0 into 0
4.957 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
4.957 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
4.957 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
4.957 * [taylor]: Taking taylor expansion of +nan.0 in n
4.957 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.957 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
4.957 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
4.957 * [taylor]: Taking taylor expansion of 1/2 in n
4.957 * [backup-simplify]: Simplify 1/2 into 1/2
4.957 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
4.957 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.957 * [taylor]: Taking taylor expansion of 1 in n
4.957 * [backup-simplify]: Simplify 1 into 1
4.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.958 * [taylor]: Taking taylor expansion of k in n
4.958 * [backup-simplify]: Simplify k into k
4.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.958 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.958 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.958 * [taylor]: Taking taylor expansion of 2 in n
4.958 * [backup-simplify]: Simplify 2 into 2
4.958 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.958 * [taylor]: Taking taylor expansion of PI in n
4.958 * [backup-simplify]: Simplify PI into PI
4.958 * [taylor]: Taking taylor expansion of n in n
4.958 * [backup-simplify]: Simplify 0 into 0
4.958 * [backup-simplify]: Simplify 1 into 1
4.958 * [backup-simplify]: Simplify (/ PI 1) into PI
4.958 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.959 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.959 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.959 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.960 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.961 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
4.961 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.962 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.963 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
4.964 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.964 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.964 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
4.967 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
4.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
4.967 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
4.967 * [taylor]: Taking taylor expansion of +nan.0 in n
4.967 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.967 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
4.967 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
4.967 * [taylor]: Taking taylor expansion of 1/2 in n
4.967 * [backup-simplify]: Simplify 1/2 into 1/2
4.967 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
4.967 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.967 * [taylor]: Taking taylor expansion of 1 in n
4.967 * [backup-simplify]: Simplify 1 into 1
4.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.967 * [taylor]: Taking taylor expansion of k in n
4.967 * [backup-simplify]: Simplify k into k
4.967 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.967 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.967 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.967 * [taylor]: Taking taylor expansion of 2 in n
4.967 * [backup-simplify]: Simplify 2 into 2
4.967 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.967 * [taylor]: Taking taylor expansion of PI in n
4.967 * [backup-simplify]: Simplify PI into PI
4.967 * [taylor]: Taking taylor expansion of n in n
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify 1 into 1
4.968 * [backup-simplify]: Simplify (/ PI 1) into PI
4.968 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.969 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.969 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.969 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.970 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.971 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
4.971 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
4.972 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
4.973 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
4.974 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.975 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
4.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
4.979 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
4.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
4.980 * [backup-simplify]: Simplify (- 0) into 0
4.980 * [backup-simplify]: Simplify (+ 0 0) into 0
4.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
4.983 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
4.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
4.987 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.988 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
4.989 * [backup-simplify]: Simplify (- 0) into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
4.994 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
4.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
4.994 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
4.994 * [taylor]: Taking taylor expansion of +nan.0 in n
4.994 * [backup-simplify]: Simplify +nan.0 into +nan.0
4.994 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
4.994 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
4.994 * [taylor]: Taking taylor expansion of 1/2 in n
4.994 * [backup-simplify]: Simplify 1/2 into 1/2
4.994 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
4.994 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
4.994 * [taylor]: Taking taylor expansion of 1 in n
4.995 * [backup-simplify]: Simplify 1 into 1
4.995 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.995 * [taylor]: Taking taylor expansion of k in n
4.995 * [backup-simplify]: Simplify k into k
4.995 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.995 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
4.995 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
4.995 * [taylor]: Taking taylor expansion of 2 in n
4.995 * [backup-simplify]: Simplify 2 into 2
4.995 * [taylor]: Taking taylor expansion of (/ PI n) in n
4.995 * [taylor]: Taking taylor expansion of PI in n
4.995 * [backup-simplify]: Simplify PI into PI
4.995 * [taylor]: Taking taylor expansion of n in n
4.995 * [backup-simplify]: Simplify 0 into 0
4.995 * [backup-simplify]: Simplify 1 into 1
4.995 * [backup-simplify]: Simplify (/ PI 1) into PI
4.996 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
4.997 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
4.997 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
4.997 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
4.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
5.000 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
5.001 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
5.002 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
5.003 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
5.005 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.006 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
5.010 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
5.011 * [backup-simplify]: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
5.011 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
5.011 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
5.011 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
5.011 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
5.011 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
5.011 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
5.011 * [taylor]: Taking taylor expansion of 1/2 in n
5.011 * [backup-simplify]: Simplify 1/2 into 1/2
5.011 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.011 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.011 * [taylor]: Taking taylor expansion of k in n
5.011 * [backup-simplify]: Simplify k into k
5.011 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.011 * [taylor]: Taking taylor expansion of 1 in n
5.011 * [backup-simplify]: Simplify 1 into 1
5.011 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.011 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.011 * [taylor]: Taking taylor expansion of -2 in n
5.011 * [backup-simplify]: Simplify -2 into -2
5.011 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.011 * [taylor]: Taking taylor expansion of PI in n
5.011 * [backup-simplify]: Simplify PI into PI
5.011 * [taylor]: Taking taylor expansion of n in n
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 1 into 1
5.012 * [backup-simplify]: Simplify (/ PI 1) into PI
5.013 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.014 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.014 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.014 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
5.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.017 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.018 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.018 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.018 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.018 * [taylor]: Taking taylor expansion of -1 in n
5.018 * [backup-simplify]: Simplify -1 into -1
5.018 * [taylor]: Taking taylor expansion of k in n
5.018 * [backup-simplify]: Simplify k into k
5.018 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.018 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.018 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.020 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
5.020 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.020 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.020 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.020 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.020 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.020 * [taylor]: Taking taylor expansion of 1/2 in k
5.020 * [backup-simplify]: Simplify 1/2 into 1/2
5.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.020 * [taylor]: Taking taylor expansion of k in k
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify 1 into 1
5.020 * [backup-simplify]: Simplify (/ 1 1) into 1
5.020 * [taylor]: Taking taylor expansion of 1 in k
5.020 * [backup-simplify]: Simplify 1 into 1
5.020 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.020 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.021 * [taylor]: Taking taylor expansion of -2 in k
5.021 * [backup-simplify]: Simplify -2 into -2
5.021 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.021 * [taylor]: Taking taylor expansion of PI in k
5.021 * [backup-simplify]: Simplify PI into PI
5.021 * [taylor]: Taking taylor expansion of n in k
5.021 * [backup-simplify]: Simplify n into n
5.021 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.021 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.021 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.021 * [backup-simplify]: Simplify (+ 1 0) into 1
5.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.022 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.022 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.022 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.022 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.022 * [taylor]: Taking taylor expansion of -1 in k
5.022 * [backup-simplify]: Simplify -1 into -1
5.022 * [taylor]: Taking taylor expansion of k in k
5.022 * [backup-simplify]: Simplify 0 into 0
5.022 * [backup-simplify]: Simplify 1 into 1
5.022 * [backup-simplify]: Simplify (/ -1 1) into -1
5.023 * [backup-simplify]: Simplify (sqrt 0) into 0
5.023 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.024 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.024 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
5.024 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
5.024 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
5.024 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
5.024 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
5.024 * [taylor]: Taking taylor expansion of 1/2 in k
5.024 * [backup-simplify]: Simplify 1/2 into 1/2
5.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
5.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.024 * [taylor]: Taking taylor expansion of k in k
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [backup-simplify]: Simplify (/ 1 1) into 1
5.024 * [taylor]: Taking taylor expansion of 1 in k
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
5.024 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
5.024 * [taylor]: Taking taylor expansion of -2 in k
5.024 * [backup-simplify]: Simplify -2 into -2
5.024 * [taylor]: Taking taylor expansion of (/ PI n) in k
5.024 * [taylor]: Taking taylor expansion of PI in k
5.024 * [backup-simplify]: Simplify PI into PI
5.024 * [taylor]: Taking taylor expansion of n in k
5.024 * [backup-simplify]: Simplify n into n
5.024 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
5.024 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
5.024 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
5.025 * [backup-simplify]: Simplify (+ 1 0) into 1
5.025 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.025 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
5.025 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
5.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.025 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.025 * [taylor]: Taking taylor expansion of -1 in k
5.025 * [backup-simplify]: Simplify -1 into -1
5.025 * [taylor]: Taking taylor expansion of k in k
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 1 into 1
5.025 * [backup-simplify]: Simplify (/ -1 1) into -1
5.026 * [backup-simplify]: Simplify (sqrt 0) into 0
5.026 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.027 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
5.027 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.027 * [taylor]: Taking taylor expansion of +nan.0 in n
5.027 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.027 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.027 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.027 * [taylor]: Taking taylor expansion of 1/2 in n
5.027 * [backup-simplify]: Simplify 1/2 into 1/2
5.027 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.027 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.027 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.027 * [taylor]: Taking taylor expansion of -2 in n
5.027 * [backup-simplify]: Simplify -2 into -2
5.027 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.027 * [taylor]: Taking taylor expansion of PI in n
5.027 * [backup-simplify]: Simplify PI into PI
5.027 * [taylor]: Taking taylor expansion of n in n
5.027 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify 1 into 1
5.027 * [backup-simplify]: Simplify (/ PI 1) into PI
5.027 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.028 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.028 * [taylor]: Taking taylor expansion of k in n
5.028 * [backup-simplify]: Simplify k into k
5.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.028 * [taylor]: Taking taylor expansion of 1 in n
5.028 * [backup-simplify]: Simplify 1 into 1
5.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.029 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.030 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.031 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.031 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.032 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.033 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.035 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.036 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.036 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.036 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.036 * [taylor]: Taking taylor expansion of +nan.0 in n
5.036 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.036 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.036 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.036 * [taylor]: Taking taylor expansion of 1/2 in n
5.036 * [backup-simplify]: Simplify 1/2 into 1/2
5.036 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.036 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.036 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.036 * [taylor]: Taking taylor expansion of -2 in n
5.036 * [backup-simplify]: Simplify -2 into -2
5.036 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.036 * [taylor]: Taking taylor expansion of PI in n
5.036 * [backup-simplify]: Simplify PI into PI
5.036 * [taylor]: Taking taylor expansion of n in n
5.036 * [backup-simplify]: Simplify 0 into 0
5.036 * [backup-simplify]: Simplify 1 into 1
5.036 * [backup-simplify]: Simplify (/ PI 1) into PI
5.037 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.038 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.038 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.038 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.038 * [taylor]: Taking taylor expansion of k in n
5.038 * [backup-simplify]: Simplify k into k
5.038 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.038 * [taylor]: Taking taylor expansion of 1 in n
5.038 * [backup-simplify]: Simplify 1 into 1
5.039 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.039 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.043 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.044 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.044 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.045 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.046 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.047 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.048 * [backup-simplify]: Simplify (+ 0 0) into 0
5.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
5.050 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
5.051 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
5.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
5.053 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
5.054 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
5.054 * [backup-simplify]: Simplify 0 into 0
5.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.058 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
5.058 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
5.058 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
5.058 * [taylor]: Taking taylor expansion of +nan.0 in n
5.058 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.058 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
5.058 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
5.058 * [taylor]: Taking taylor expansion of 1/2 in n
5.058 * [backup-simplify]: Simplify 1/2 into 1/2
5.058 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
5.058 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
5.058 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
5.058 * [taylor]: Taking taylor expansion of -2 in n
5.058 * [backup-simplify]: Simplify -2 into -2
5.058 * [taylor]: Taking taylor expansion of (/ PI n) in n
5.058 * [taylor]: Taking taylor expansion of PI in n
5.058 * [backup-simplify]: Simplify PI into PI
5.058 * [taylor]: Taking taylor expansion of n in n
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 1 into 1
5.059 * [backup-simplify]: Simplify (/ PI 1) into PI
5.059 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
5.060 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
5.060 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
5.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.060 * [taylor]: Taking taylor expansion of k in n
5.060 * [backup-simplify]: Simplify k into k
5.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.060 * [taylor]: Taking taylor expansion of 1 in n
5.060 * [backup-simplify]: Simplify 1 into 1
5.061 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
5.061 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
5.061 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
5.062 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
5.063 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
5.064 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
5.064 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.065 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
5.068 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.068 * * * [progress]: simplifying candidates
5.068 * * * * [progress]: [ 1 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 2 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 3 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 4 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 5 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 6 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 7 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
5.068 * * * * [progress]: [ 8 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
5.068 * * * * [progress]: [ 9 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
5.069 * * * * [progress]: [ 10 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
5.069 * * * * [progress]: [ 11 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
5.069 * * * * [progress]: [ 12 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
5.069 * * * * [progress]: [ 13 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
5.069 * * * * [progress]: [ 14 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
5.069 * * * * [progress]: [ 15 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
5.069 * * * * [progress]: [ 16 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
5.069 * * * * [progress]: [ 17 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.069 * * * * [progress]: [ 18 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.069 * * * * [progress]: [ 19 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.069 * * * * [progress]: [ 20 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
5.069 * * * * [progress]: [ 21 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
5.069 * * * * [progress]: [ 22 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
5.069 * * * * [progress]: [ 23 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
5.069 * * * * [progress]: [ 24 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
5.069 * * * * [progress]: [ 25 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
5.069 * * * * [progress]: [ 26 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
5.069 * * * * [progress]: [ 27 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
5.069 * * * * [progress]: [ 28 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
5.069 * * * * [progress]: [ 29 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.069 * * * * [progress]: [ 30 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
5.070 * * * * [progress]: [ 31 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
5.070 * * * * [progress]: [ 32 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
5.070 * * * * [progress]: [ 33 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.070 * * * * [progress]: [ 34 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.071 * * * * [progress]: [ 35 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.071 * * * * [progress]: [ 36 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.071 * * * * [progress]: [ 37 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.071 * * * * [progress]: [ 38 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.071 * * * * [progress]: [ 39 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.071 * * * * [progress]: [ 40 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.071 * * * * [progress]: [ 41 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 42 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 43 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 44 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- (/ 1 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 45 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 46 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 47 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- 0 (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 48 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log 1) (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 49 / 188 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 50 / 188 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 51 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 52 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 53 / 188 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 54 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 55 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 56 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.071 * * * * [progress]: [ 57 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 58 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 59 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 60 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (/ (cbrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 61 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 62 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1) (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 63 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1) (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 64 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 65 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 66 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 67 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 68 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (cbrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 69 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1 (sqrt (cbrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 70 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 71 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 72 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 73 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 74 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 75 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 76 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 77 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 78 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 79 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 80 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 81 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.072 * * * * [progress]: [ 82 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 83 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) (cbrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 84 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (/ (sqrt k) (sqrt 1))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 85 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 86 / 188 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 87 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 88 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 89 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 90 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 91 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 92 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 93 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 94 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 95 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 96 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 97 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 98 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 99 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 100 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 101 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 102 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 103 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 104 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 105 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
5.073 * * * * [progress]: [ 106 / 188 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
5.073 * * * * [progress]: [ 107 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 108 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 109 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 110 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 111 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.074 * * * * [progress]: [ 112 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 113 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 114 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 115 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 116 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.074 * * * * [progress]: [ 117 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.074 * * * * [progress]: [ 118 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 119 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 120 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 121 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 122 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 123 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 124 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 125 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 126 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 127 / 188 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 128 / 188 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 129 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 130 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 131 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 132 / 188 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 133 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 134 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
5.075 * * * * [progress]: [ 135 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.075 * * * * [progress]: [ 136 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 137 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.075 * * * * [progress]: [ 138 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 139 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.075 * * * * [progress]: [ 140 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 141 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.075 * * * * [progress]: [ 142 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.075 * * * * [progress]: [ 143 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.076 * * * * [progress]: [ 144 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.076 * * * * [progress]: [ 145 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
5.076 * * * * [progress]: [ 146 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
5.076 * * * * [progress]: [ 147 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 148 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 149 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.076 * * * * [progress]: [ 150 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
5.076 * * * * [progress]: [ 151 / 188 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 152 / 188 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 153 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 154 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 155 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 156 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 157 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k))) (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 158 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt 1) (cbrt 1)) 1) (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 159 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 160 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k)))) (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 161 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 162 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 163 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) (sqrt (sqrt k))) (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 164 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt 1) 1) (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 165 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 166 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.076 * * * * [progress]: [ 167 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 168 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 169 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 170 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 171 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 172 / 188 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
5.077 * * * * [progress]: [ 173 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
5.077 * * * * [progress]: [ 174 / 188 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
5.077 * * * * [progress]: [ 175 / 188 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
5.077 * * * * [progress]: [ 176 / 188 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
5.077 * * * * [progress]: [ 177 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
5.077 * * * * [progress]: [ 178 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
5.077 * * * * [progress]: [ 179 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
5.077 * * * * [progress]: [ 180 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 181 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 182 / 188 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 183 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 184 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 185 / 188 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
5.077 * * * * [progress]: [ 186 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
5.077 * * * * [progress]: [ 187 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
5.077 * * * * [progress]: [ 188 / 188 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
5.079 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (- 1/2)
  (- 1)
  (- (/ 1 2))
  (- (log (sqrt k)))
  (- 0 (log (sqrt k)))
  (- (log 1) (log (sqrt k)))
  (log (/ 1 (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  (- 1)
  (- (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt 1) (cbrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt 1) (sqrt (cbrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt 1))
  (/ (cbrt 1) (sqrt k))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt k)))
  (/ (cbrt 1) (sqrt (sqrt k)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (sqrt k))
  (/ (sqrt 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt 1) (cbrt (sqrt k)))
  (/ (sqrt 1) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt 1) (sqrt (cbrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt 1))
  (/ (sqrt 1) (sqrt k))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) (sqrt (sqrt k)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) 1)
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 1)
  (/ (sqrt k) (cbrt 1))
  (/ (sqrt k) (sqrt 1))
  (/ (sqrt k) 1)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (+ (- (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- 0 (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- 0 (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (- (log 1) (log (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (- (log 1) (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (/ 1 (sqrt k))) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (* (* 1 1) 1) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (/ 1 (sqrt k)) 1)
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (cbrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ (sqrt 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (cbrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2)))
  (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
  (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
5.082 * * [simplify]: iteration 1: (345 enodes)
5.303 * * [simplify]: iteration 2: (923 enodes)
6.104 * * [simplify]: Extracting #0: cost 93 inf + 0
6.105 * * [simplify]: Extracting #1: cost 412 inf + 3
6.108 * * [simplify]: Extracting #2: cost 694 inf + 3747
6.114 * * [simplify]: Extracting #3: cost 686 inf + 32118
6.146 * * [simplify]: Extracting #4: cost 340 inf + 147181
6.187 * * [simplify]: Extracting #5: cost 141 inf + 229915
6.229 * * [simplify]: Extracting #6: cost 46 inf + 267039
6.306 * * [simplify]: Extracting #7: cost 19 inf + 280616
6.387 * * [simplify]: Extracting #8: cost 0 inf + 292621
6.472 * * [simplify]: Extracting #9: cost 0 inf + 291031
6.539 * * [simplify]: Extracting #10: cost 0 inf + 290791
6.607 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* n 2) PI) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k)))))
  (pow (* (* n 2) PI) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* n 2) PI) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* n 2) PI) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* n 2) PI) (sqrt (- 1 k)))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* n 2) PI) (+ 1 (sqrt k)))
  (pow (* (* n 2) PI) (/ (/ (+ 1 (sqrt k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* n 2) PI) (+ 1 (sqrt k)))
  (pow (* (* n 2) PI) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* n 2) PI) (/ 1 (sqrt 2)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (- 1 k))
  (pow (* PI 2) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
  (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (pow (* (* n 2) PI) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  -1/2
  -1
  -1/2
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (- (log (sqrt k)))
  (exp (/ 1 (sqrt k)))
  (/ (/ 1 k) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
  (cbrt (/ 1 (sqrt k)))
  (/ (/ (/ 1 (sqrt k)) (sqrt k)) (sqrt k))
  (sqrt (/ 1 (sqrt k)))
  (sqrt (/ 1 (sqrt k)))
  -1
  (- (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt k))
  (/ 1 (sqrt k))
  (sqrt k)
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  1
  (/ 1 (sqrt (sqrt k)))
  1
  (sqrt k)
  (sqrt k)
  (sqrt k)
  (real->posit16 (/ 1 (sqrt k)))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* n (* n n)) (* (* 8 PI) PI)) PI)
  (* (* (* 4 (* (* PI n) (* PI n))) (* PI n)) 2)
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* 4 (* (* PI n) (* PI n))) (* PI n)) 2)
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* PI (* 2 (* (cbrt n) (cbrt n))))
  (* PI (* 2 (sqrt n)))
  (* PI 2)
  (* PI n)
  (real->posit16 (* (* n 2) PI))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (/ (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 3) (* (sqrt k) k))
  (* (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (* (* n 2) PI))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (sqrt (/ 1 (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
  (* (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k))))
  (* (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (/ 1 (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/4 (/ k 4))) (sqrt k))
  (* (cbrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ (- 1 k) 2)))
  (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (/ 1 (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (sqrt (* (* n 2) PI)) (sqrt k))
  (pow (* (* n 2) PI) (/ (- 1 k) 2))
  (real->posit16 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (+ (* (sqrt (* (* n 2) PI)) (* (* (* (log n) (* k k)) (log n)) 1/8)) (* (* (* (log (* PI 2)) 1/4) (sqrt (* (* n 2) PI))) (* (log n) (* k k)))) (+ (sqrt (* (* n 2) PI)) (* 1/8 (* (* (log (* PI 2)) (log (* PI 2))) (* (sqrt (* (* n 2) PI)) (* k k)))))) (* 1/2 (* k (+ (* (sqrt (* (* n 2) PI)) (log n)) (* (log (* PI 2)) (sqrt (* (* n 2) PI)))))))
  (exp (* 1/2 (* (- 1 k) (log (* (* n 2) PI)))))
  (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2)))
  (- (* (- +nan.0) (* k k)) (+ (- +nan.0) (* k +nan.0)))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k))))
  (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (- (- (* (* +nan.0 (sqrt 2)) (* k (* PI n))) (+ (- (* (* +nan.0 (sqrt 2)) (* PI n)) (* (* (* (sqrt 2) (* PI n)) k) (* +nan.0 (log (* PI 2))))) (* (* +nan.0 (sqrt 2)) (- (* (* k (log n)) (* PI n)) (* (* n PI) (* n PI)))))))
  (- (+ (- (/ +nan.0 (/ k (exp (* 1/2 (* (- 1 k) (log (* (* n 2) PI))))))) (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* (* n 2) PI))))) (* k k)))) (* (/ +nan.0 k) (/ (exp (* 1/2 (* (- 1 k) (log (* (* n 2) PI))))) (* k k)))))
  (- (- (* (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) k) +nan.0) (* +nan.0 (- (/ (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2))) (* k k)) (exp (* (- (log (* PI -2)) (log (/ -1 n))) (* (- 1 k) 1/2)))))))
6.624 * * * [progress]: adding candidates to table
7.359 * * [progress]: iteration 3 / 4
7.360 * * * [progress]: picking best candidate
7.401 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
7.401 * * * [progress]: localizing error
7.453 * * * [progress]: generating rewritten candidates
7.453 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
7.484 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
7.506 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
7.530 * * * [progress]: generating series expansions
7.530 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
7.531 * [backup-simplify]: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
7.531 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
7.531 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
7.531 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
7.531 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
7.531 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
7.531 * [taylor]: Taking taylor expansion of 1/2 in k
7.531 * [backup-simplify]: Simplify 1/2 into 1/2
7.531 * [taylor]: Taking taylor expansion of (- 1 k) in k
7.531 * [taylor]: Taking taylor expansion of 1 in k
7.531 * [backup-simplify]: Simplify 1 into 1
7.531 * [taylor]: Taking taylor expansion of k in k
7.531 * [backup-simplify]: Simplify 0 into 0
7.531 * [backup-simplify]: Simplify 1 into 1
7.531 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.531 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.531 * [taylor]: Taking taylor expansion of 2 in k
7.531 * [backup-simplify]: Simplify 2 into 2
7.531 * [taylor]: Taking taylor expansion of (* n PI) in k
7.531 * [taylor]: Taking taylor expansion of n in k
7.531 * [backup-simplify]: Simplify n into n
7.531 * [taylor]: Taking taylor expansion of PI in k
7.531 * [backup-simplify]: Simplify PI into PI
7.531 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.531 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.531 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.531 * [backup-simplify]: Simplify (- 0) into 0
7.532 * [backup-simplify]: Simplify (+ 1 0) into 1
7.532 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.532 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.532 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.532 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
7.532 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
7.532 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
7.532 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
7.532 * [taylor]: Taking taylor expansion of 1/2 in n
7.532 * [backup-simplify]: Simplify 1/2 into 1/2
7.532 * [taylor]: Taking taylor expansion of (- 1 k) in n
7.532 * [taylor]: Taking taylor expansion of 1 in n
7.532 * [backup-simplify]: Simplify 1 into 1
7.532 * [taylor]: Taking taylor expansion of k in n
7.532 * [backup-simplify]: Simplify k into k
7.532 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.532 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.532 * [taylor]: Taking taylor expansion of 2 in n
7.532 * [backup-simplify]: Simplify 2 into 2
7.532 * [taylor]: Taking taylor expansion of (* n PI) in n
7.532 * [taylor]: Taking taylor expansion of n in n
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.532 * [taylor]: Taking taylor expansion of PI in n
7.532 * [backup-simplify]: Simplify PI into PI
7.533 * [backup-simplify]: Simplify (* 0 PI) into 0
7.533 * [backup-simplify]: Simplify (* 2 0) into 0
7.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.535 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.535 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.536 * [backup-simplify]: Simplify (- k) into (- k)
7.536 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
7.536 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
7.536 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.537 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
7.538 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
7.538 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
7.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
7.538 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
7.538 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
7.538 * [taylor]: Taking taylor expansion of 1/2 in n
7.538 * [backup-simplify]: Simplify 1/2 into 1/2
7.538 * [taylor]: Taking taylor expansion of (- 1 k) in n
7.538 * [taylor]: Taking taylor expansion of 1 in n
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [taylor]: Taking taylor expansion of k in n
7.538 * [backup-simplify]: Simplify k into k
7.538 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.538 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.538 * [taylor]: Taking taylor expansion of 2 in n
7.538 * [backup-simplify]: Simplify 2 into 2
7.538 * [taylor]: Taking taylor expansion of (* n PI) in n
7.538 * [taylor]: Taking taylor expansion of n in n
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [taylor]: Taking taylor expansion of PI in n
7.538 * [backup-simplify]: Simplify PI into PI
7.538 * [backup-simplify]: Simplify (* 0 PI) into 0
7.539 * [backup-simplify]: Simplify (* 2 0) into 0
7.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.541 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.541 * [backup-simplify]: Simplify (- k) into (- k)
7.542 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
7.542 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
7.542 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.543 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
7.544 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
7.544 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
7.544 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
7.544 * [taylor]: Taking taylor expansion of 1/2 in k
7.544 * [backup-simplify]: Simplify 1/2 into 1/2
7.544 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
7.544 * [taylor]: Taking taylor expansion of (- 1 k) in k
7.544 * [taylor]: Taking taylor expansion of 1 in k
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [taylor]: Taking taylor expansion of k in k
7.544 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify 1 into 1
7.544 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
7.544 * [taylor]: Taking taylor expansion of (log n) in k
7.544 * [taylor]: Taking taylor expansion of n in k
7.544 * [backup-simplify]: Simplify n into n
7.544 * [backup-simplify]: Simplify (log n) into (log n)
7.544 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.544 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.544 * [taylor]: Taking taylor expansion of 2 in k
7.544 * [backup-simplify]: Simplify 2 into 2
7.544 * [taylor]: Taking taylor expansion of PI in k
7.544 * [backup-simplify]: Simplify PI into PI
7.545 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.545 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.545 * [backup-simplify]: Simplify (- 0) into 0
7.546 * [backup-simplify]: Simplify (+ 1 0) into 1
7.546 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.547 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
7.548 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
7.548 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.549 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
7.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.551 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.552 * [backup-simplify]: Simplify (- 0) into 0
7.552 * [backup-simplify]: Simplify (+ 0 0) into 0
7.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
7.553 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.554 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.555 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.555 * [taylor]: Taking taylor expansion of 0 in k
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 0 into 0
7.556 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
7.556 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.557 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.557 * [backup-simplify]: Simplify (+ 0 0) into 0
7.557 * [backup-simplify]: Simplify (- 1) into -1
7.558 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.559 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
7.560 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
7.562 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
7.564 * [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)))))))
7.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.565 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.567 * [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
7.567 * [backup-simplify]: Simplify (- 0) into 0
7.567 * [backup-simplify]: Simplify (+ 0 0) into 0
7.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
7.569 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.570 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.571 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.571 * [taylor]: Taking taylor expansion of 0 in k
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.572 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
7.573 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.575 * [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
7.575 * [backup-simplify]: Simplify (+ 0 0) into 0
7.575 * [backup-simplify]: Simplify (- 0) into 0
7.578 * [backup-simplify]: Simplify (+ 0 0) into 0
7.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
7.583 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
7.586 * [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)))))
7.592 * [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)))))
7.593 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
7.593 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
7.593 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
7.593 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
7.593 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
7.593 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
7.593 * [taylor]: Taking taylor expansion of 1/2 in k
7.593 * [backup-simplify]: Simplify 1/2 into 1/2
7.593 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
7.593 * [taylor]: Taking taylor expansion of 1 in k
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.593 * [taylor]: Taking taylor expansion of k in k
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (/ 1 1) into 1
7.593 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
7.593 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
7.593 * [taylor]: Taking taylor expansion of 2 in k
7.593 * [backup-simplify]: Simplify 2 into 2
7.593 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.593 * [taylor]: Taking taylor expansion of PI in k
7.593 * [backup-simplify]: Simplify PI into PI
7.593 * [taylor]: Taking taylor expansion of n in k
7.593 * [backup-simplify]: Simplify n into n
7.593 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.594 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
7.594 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
7.594 * [backup-simplify]: Simplify (- 1) into -1
7.594 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.595 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
7.595 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
7.595 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
7.595 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
7.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.595 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.595 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
7.595 * [taylor]: Taking taylor expansion of 1/2 in n
7.595 * [backup-simplify]: Simplify 1/2 into 1/2
7.595 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
7.595 * [taylor]: Taking taylor expansion of 1 in n
7.595 * [backup-simplify]: Simplify 1 into 1
7.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.595 * [taylor]: Taking taylor expansion of k in n
7.595 * [backup-simplify]: Simplify k into k
7.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.595 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.596 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.596 * [taylor]: Taking taylor expansion of 2 in n
7.596 * [backup-simplify]: Simplify 2 into 2
7.596 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.596 * [taylor]: Taking taylor expansion of PI in n
7.596 * [backup-simplify]: Simplify PI into PI
7.596 * [taylor]: Taking taylor expansion of n in n
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.596 * [backup-simplify]: Simplify (/ PI 1) into PI
7.597 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.598 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.598 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
7.598 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
7.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.600 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
7.602 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
7.602 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
7.602 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
7.602 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
7.602 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
7.602 * [taylor]: Taking taylor expansion of 1/2 in n
7.602 * [backup-simplify]: Simplify 1/2 into 1/2
7.602 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
7.602 * [taylor]: Taking taylor expansion of 1 in n
7.602 * [backup-simplify]: Simplify 1 into 1
7.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.602 * [taylor]: Taking taylor expansion of k in n
7.602 * [backup-simplify]: Simplify k into k
7.602 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.602 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
7.602 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.602 * [taylor]: Taking taylor expansion of 2 in n
7.602 * [backup-simplify]: Simplify 2 into 2
7.602 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.602 * [taylor]: Taking taylor expansion of PI in n
7.602 * [backup-simplify]: Simplify PI into PI
7.603 * [taylor]: Taking taylor expansion of n in n
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 1 into 1
7.603 * [backup-simplify]: Simplify (/ PI 1) into PI
7.604 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.605 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.605 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
7.605 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
7.605 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
7.606 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.608 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
7.609 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
7.609 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
7.609 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
7.609 * [taylor]: Taking taylor expansion of 1/2 in k
7.609 * [backup-simplify]: Simplify 1/2 into 1/2
7.609 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
7.609 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
7.609 * [taylor]: Taking taylor expansion of 1 in k
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.609 * [taylor]: Taking taylor expansion of k in k
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.610 * [backup-simplify]: Simplify (/ 1 1) into 1
7.610 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
7.610 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
7.610 * [taylor]: Taking taylor expansion of (* 2 PI) in k
7.610 * [taylor]: Taking taylor expansion of 2 in k
7.610 * [backup-simplify]: Simplify 2 into 2
7.610 * [taylor]: Taking taylor expansion of PI in k
7.610 * [backup-simplify]: Simplify PI into PI
7.610 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.611 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.611 * [taylor]: Taking taylor expansion of (log n) in k
7.611 * [taylor]: Taking taylor expansion of n in k
7.611 * [backup-simplify]: Simplify n into n
7.611 * [backup-simplify]: Simplify (log n) into (log n)
7.612 * [backup-simplify]: Simplify (- 1) into -1
7.612 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.612 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.613 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
7.614 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
7.616 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
7.617 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
7.618 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
7.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.620 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.622 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.622 * [backup-simplify]: Simplify (- 0) into 0
7.622 * [backup-simplify]: Simplify (+ 0 0) into 0
7.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
7.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.625 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
7.627 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.627 * [taylor]: Taking taylor expansion of 0 in k
7.627 * [backup-simplify]: Simplify 0 into 0
7.627 * [backup-simplify]: Simplify 0 into 0
7.627 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.630 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.633 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
7.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.634 * [backup-simplify]: Simplify (- 0) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
7.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.638 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
7.641 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.641 * [taylor]: Taking taylor expansion of 0 in k
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.649 * [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
7.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.650 * [backup-simplify]: Simplify (- 0) into 0
7.651 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
7.653 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
7.655 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
7.658 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.658 * [taylor]: Taking taylor expansion of 0 in k
7.658 * [backup-simplify]: Simplify 0 into 0
7.658 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
7.660 * [backup-simplify]: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
7.660 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
7.660 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
7.660 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
7.660 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
7.660 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
7.660 * [taylor]: Taking taylor expansion of 1/2 in k
7.660 * [backup-simplify]: Simplify 1/2 into 1/2
7.660 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
7.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.660 * [taylor]: Taking taylor expansion of k in k
7.660 * [backup-simplify]: Simplify 0 into 0
7.660 * [backup-simplify]: Simplify 1 into 1
7.661 * [backup-simplify]: Simplify (/ 1 1) into 1
7.661 * [taylor]: Taking taylor expansion of 1 in k
7.661 * [backup-simplify]: Simplify 1 into 1
7.661 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
7.661 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
7.661 * [taylor]: Taking taylor expansion of -2 in k
7.661 * [backup-simplify]: Simplify -2 into -2
7.661 * [taylor]: Taking taylor expansion of (/ PI n) in k
7.661 * [taylor]: Taking taylor expansion of PI in k
7.661 * [backup-simplify]: Simplify PI into PI
7.661 * [taylor]: Taking taylor expansion of n in k
7.661 * [backup-simplify]: Simplify n into n
7.661 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
7.661 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
7.661 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
7.662 * [backup-simplify]: Simplify (+ 1 0) into 1
7.662 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.662 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
7.663 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
7.663 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
7.663 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
7.663 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
7.663 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
7.663 * [taylor]: Taking taylor expansion of 1/2 in n
7.663 * [backup-simplify]: Simplify 1/2 into 1/2
7.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
7.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.663 * [taylor]: Taking taylor expansion of k in n
7.663 * [backup-simplify]: Simplify k into k
7.663 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.663 * [taylor]: Taking taylor expansion of 1 in n
7.663 * [backup-simplify]: Simplify 1 into 1
7.663 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.663 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.663 * [taylor]: Taking taylor expansion of -2 in n
7.663 * [backup-simplify]: Simplify -2 into -2
7.663 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.663 * [taylor]: Taking taylor expansion of PI in n
7.663 * [backup-simplify]: Simplify PI into PI
7.663 * [taylor]: Taking taylor expansion of n in n
7.663 * [backup-simplify]: Simplify 0 into 0
7.663 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (/ PI 1) into PI
7.664 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.665 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.665 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
7.665 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
7.667 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.668 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
7.669 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
7.669 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
7.669 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
7.669 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
7.669 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
7.669 * [taylor]: Taking taylor expansion of 1/2 in n
7.669 * [backup-simplify]: Simplify 1/2 into 1/2
7.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
7.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.669 * [taylor]: Taking taylor expansion of k in n
7.669 * [backup-simplify]: Simplify k into k
7.670 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.670 * [taylor]: Taking taylor expansion of 1 in n
7.670 * [backup-simplify]: Simplify 1 into 1
7.670 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
7.670 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.670 * [taylor]: Taking taylor expansion of -2 in n
7.670 * [backup-simplify]: Simplify -2 into -2
7.670 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.670 * [taylor]: Taking taylor expansion of PI in n
7.670 * [backup-simplify]: Simplify PI into PI
7.670 * [taylor]: Taking taylor expansion of n in n
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 1 into 1
7.670 * [backup-simplify]: Simplify (/ PI 1) into PI
7.671 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.672 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.672 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
7.672 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
7.674 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.675 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
7.676 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
7.676 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
7.676 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
7.676 * [taylor]: Taking taylor expansion of 1/2 in k
7.676 * [backup-simplify]: Simplify 1/2 into 1/2
7.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
7.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
7.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.676 * [taylor]: Taking taylor expansion of k in k
7.676 * [backup-simplify]: Simplify 0 into 0
7.676 * [backup-simplify]: Simplify 1 into 1
7.677 * [backup-simplify]: Simplify (/ 1 1) into 1
7.677 * [taylor]: Taking taylor expansion of 1 in k
7.677 * [backup-simplify]: Simplify 1 into 1
7.677 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
7.677 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
7.677 * [taylor]: Taking taylor expansion of (* -2 PI) in k
7.677 * [taylor]: Taking taylor expansion of -2 in k
7.677 * [backup-simplify]: Simplify -2 into -2
7.677 * [taylor]: Taking taylor expansion of PI in k
7.677 * [backup-simplify]: Simplify PI into PI
7.677 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.678 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
7.678 * [taylor]: Taking taylor expansion of (log n) in k
7.678 * [taylor]: Taking taylor expansion of n in k
7.678 * [backup-simplify]: Simplify n into n
7.678 * [backup-simplify]: Simplify (log n) into (log n)
7.679 * [backup-simplify]: Simplify (+ 1 0) into 1
7.679 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
7.680 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
7.681 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
7.682 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
7.684 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
7.685 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
7.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.687 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.688 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
7.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.689 * [backup-simplify]: Simplify (+ 0 0) into 0
7.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
7.691 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.693 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
7.694 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.694 * [taylor]: Taking taylor expansion of 0 in k
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 0 into 0
7.695 * [backup-simplify]: Simplify 0 into 0
7.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.697 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.700 * [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
7.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.701 * [backup-simplify]: Simplify (+ 0 0) into 0
7.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
7.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.705 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
7.707 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.707 * [taylor]: Taking taylor expansion of 0 in k
7.707 * [backup-simplify]: Simplify 0 into 0
7.707 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.713 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.720 * [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
7.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
7.721 * [backup-simplify]: Simplify (+ 0 0) into 0
7.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
7.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
7.725 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
7.728 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
7.729 * [taylor]: Taking taylor expansion of 0 in k
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify 0 into 0
7.730 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
7.730 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
7.731 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.731 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
7.731 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.731 * [taylor]: Taking taylor expansion of 2 in n
7.731 * [backup-simplify]: Simplify 2 into 2
7.731 * [taylor]: Taking taylor expansion of (* n PI) in n
7.731 * [taylor]: Taking taylor expansion of n in n
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [taylor]: Taking taylor expansion of PI in n
7.731 * [backup-simplify]: Simplify PI into PI
7.731 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.731 * [taylor]: Taking taylor expansion of 2 in n
7.731 * [backup-simplify]: Simplify 2 into 2
7.731 * [taylor]: Taking taylor expansion of (* n PI) in n
7.731 * [taylor]: Taking taylor expansion of n in n
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [taylor]: Taking taylor expansion of PI in n
7.731 * [backup-simplify]: Simplify PI into PI
7.732 * [backup-simplify]: Simplify (* 0 PI) into 0
7.732 * [backup-simplify]: Simplify (* 2 0) into 0
7.732 * [backup-simplify]: Simplify 0 into 0
7.734 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.735 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.738 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
7.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
7.740 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.744 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
7.744 * [backup-simplify]: Simplify 0 into 0
7.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
7.747 * [backup-simplify]: Simplify 0 into 0
7.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.751 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
7.751 * [backup-simplify]: Simplify 0 into 0
7.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
7.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
7.756 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
7.756 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
7.756 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.756 * [taylor]: Taking taylor expansion of 2 in n
7.756 * [backup-simplify]: Simplify 2 into 2
7.756 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.756 * [taylor]: Taking taylor expansion of PI in n
7.756 * [backup-simplify]: Simplify PI into PI
7.756 * [taylor]: Taking taylor expansion of n in n
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ PI 1) into PI
7.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
7.757 * [taylor]: Taking taylor expansion of 2 in n
7.757 * [backup-simplify]: Simplify 2 into 2
7.757 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.757 * [taylor]: Taking taylor expansion of PI in n
7.757 * [backup-simplify]: Simplify PI into PI
7.757 * [taylor]: Taking taylor expansion of n in n
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ PI 1) into PI
7.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.758 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
7.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.759 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
7.759 * [backup-simplify]: Simplify 0 into 0
7.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.760 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
7.760 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.762 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.763 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.766 * [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
7.767 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
7.767 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
7.767 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
7.767 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.767 * [taylor]: Taking taylor expansion of -2 in n
7.767 * [backup-simplify]: Simplify -2 into -2
7.767 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.768 * [taylor]: Taking taylor expansion of PI in n
7.768 * [backup-simplify]: Simplify PI into PI
7.768 * [taylor]: Taking taylor expansion of n in n
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (/ PI 1) into PI
7.768 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
7.768 * [taylor]: Taking taylor expansion of -2 in n
7.768 * [backup-simplify]: Simplify -2 into -2
7.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
7.768 * [taylor]: Taking taylor expansion of PI in n
7.768 * [backup-simplify]: Simplify PI into PI
7.768 * [taylor]: Taking taylor expansion of n in n
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (/ PI 1) into PI
7.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.769 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
7.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
7.770 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
7.770 * [backup-simplify]: Simplify 0 into 0
7.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.771 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
7.771 * [backup-simplify]: Simplify 0 into 0
7.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.773 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.773 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.775 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
7.775 * [backup-simplify]: Simplify 0 into 0
7.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
7.776 * [backup-simplify]: Simplify 0 into 0
7.777 * [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
7.778 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
7.778 * * * * [progress]: [ 3 / 3 ] generating series at (2)
7.779 * [backup-simplify]: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
7.779 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
7.779 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
7.779 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
7.779 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
7.779 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
7.779 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
7.779 * [taylor]: Taking taylor expansion of 1/2 in n
7.779 * [backup-simplify]: Simplify 1/2 into 1/2
7.779 * [taylor]: Taking taylor expansion of (- 1 k) in n
7.779 * [taylor]: Taking taylor expansion of 1 in n
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [taylor]: Taking taylor expansion of k in n
7.779 * [backup-simplify]: Simplify k into k
7.779 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.779 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.779 * [taylor]: Taking taylor expansion of 2 in n
7.779 * [backup-simplify]: Simplify 2 into 2
7.779 * [taylor]: Taking taylor expansion of (* n PI) in n
7.779 * [taylor]: Taking taylor expansion of n in n
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [taylor]: Taking taylor expansion of PI in n
7.779 * [backup-simplify]: Simplify PI into PI
7.780 * [backup-simplify]: Simplify (* 0 PI) into 0
7.780 * [backup-simplify]: Simplify (* 2 0) into 0
7.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.782 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.782 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.782 * [backup-simplify]: Simplify (- k) into (- k)
7.782 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
7.783 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
7.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.784 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
7.785 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
7.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
7.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n
7.785 * [taylor]: Taking taylor expansion of k in n
7.785 * [backup-simplify]: Simplify k into k
7.785 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
7.785 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
7.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
7.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
7.785 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
7.785 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
7.785 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
7.785 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
7.785 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
7.785 * [taylor]: Taking taylor expansion of 1/2 in k
7.785 * [backup-simplify]: Simplify 1/2 into 1/2
7.785 * [taylor]: Taking taylor expansion of (- 1 k) in k
7.785 * [taylor]: Taking taylor expansion of 1 in k
7.785 * [backup-simplify]: Simplify 1 into 1
7.785 * [taylor]: Taking taylor expansion of k in k
7.785 * [backup-simplify]: Simplify 0 into 0
7.785 * [backup-simplify]: Simplify 1 into 1
7.785 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.785 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.785 * [taylor]: Taking taylor expansion of 2 in k
7.785 * [backup-simplify]: Simplify 2 into 2
7.785 * [taylor]: Taking taylor expansion of (* n PI) in k
7.785 * [taylor]: Taking taylor expansion of n in k
7.785 * [backup-simplify]: Simplify n into n
7.785 * [taylor]: Taking taylor expansion of PI in k
7.785 * [backup-simplify]: Simplify PI into PI
7.785 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.785 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.785 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.786 * [backup-simplify]: Simplify (- 0) into 0
7.786 * [backup-simplify]: Simplify (+ 1 0) into 1
7.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.786 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.786 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.786 * [taylor]: Taking taylor expansion of k in k
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (/ 1 1) into 1
7.787 * [backup-simplify]: Simplify (sqrt 0) into 0
7.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.788 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
7.788 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
7.788 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
7.788 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
7.788 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
7.788 * [taylor]: Taking taylor expansion of 1/2 in k
7.788 * [backup-simplify]: Simplify 1/2 into 1/2
7.788 * [taylor]: Taking taylor expansion of (- 1 k) in k
7.788 * [taylor]: Taking taylor expansion of 1 in k
7.788 * [backup-simplify]: Simplify 1 into 1
7.788 * [taylor]: Taking taylor expansion of k in k
7.788 * [backup-simplify]: Simplify 0 into 0
7.788 * [backup-simplify]: Simplify 1 into 1
7.788 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
7.788 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
7.788 * [taylor]: Taking taylor expansion of 2 in k
7.788 * [backup-simplify]: Simplify 2 into 2
7.788 * [taylor]: Taking taylor expansion of (* n PI) in k
7.788 * [taylor]: Taking taylor expansion of n in k
7.788 * [backup-simplify]: Simplify n into n
7.788 * [taylor]: Taking taylor expansion of PI in k
7.788 * [backup-simplify]: Simplify PI into PI
7.788 * [backup-simplify]: Simplify (* n PI) into (* n PI)
7.788 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
7.788 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
7.789 * [backup-simplify]: Simplify (- 0) into 0
7.789 * [backup-simplify]: Simplify (+ 1 0) into 1
7.789 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
7.789 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
7.789 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
7.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
7.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k
7.789 * [taylor]: Taking taylor expansion of k in k
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (/ 1 1) into 1
7.790 * [backup-simplify]: Simplify (sqrt 0) into 0
7.791 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
7.791 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
7.791 * [taylor]: Taking taylor expansion of 0 in n
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
7.793 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
7.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
7.794 * [backup-simplify]: Simplify (- 1) into -1
7.794 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.795 * [backup-simplify]: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
7.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
7.796 * [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)))))
7.796 * [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)))))
7.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
7.797 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
7.797 * [taylor]: Taking taylor expansion of +nan.0 in n
7.797 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.797 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
7.797 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.797 * [taylor]: Taking taylor expansion of 2 in n
7.797 * [backup-simplify]: Simplify 2 into 2
7.797 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.798 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.798 * [taylor]: Taking taylor expansion of (* n PI) in n
7.798 * [taylor]: Taking taylor expansion of n in n
7.798 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify 1 into 1
7.798 * [taylor]: Taking taylor expansion of PI in n
7.798 * [backup-simplify]: Simplify PI into PI
7.799 * [backup-simplify]: Simplify (* 0 PI) into 0
7.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.801 * [backup-simplify]: Simplify (sqrt 0) into 0
7.802 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.803 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
7.803 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.804 * [backup-simplify]: Simplify (- 0) into 0
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
7.809 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
7.809 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
7.811 * [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
7.812 * [backup-simplify]: Simplify (- 0) into 0
7.812 * [backup-simplify]: Simplify (+ 0 0) into 0
7.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
7.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
7.815 * [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)))
7.816 * [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)))))))
7.816 * [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
7.816 * [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
7.816 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
7.816 * [taylor]: Taking taylor expansion of +nan.0 in n
7.816 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.816 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
7.816 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
7.816 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.816 * [taylor]: Taking taylor expansion of 2 in n
7.816 * [backup-simplify]: Simplify 2 into 2
7.817 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.817 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.817 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.818 * [taylor]: Taking taylor expansion of 2 in n
7.818 * [backup-simplify]: Simplify 2 into 2
7.818 * [taylor]: Taking taylor expansion of (* n PI) in n
7.818 * [taylor]: Taking taylor expansion of n in n
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.818 * [taylor]: Taking taylor expansion of PI in n
7.818 * [backup-simplify]: Simplify PI into PI
7.818 * [backup-simplify]: Simplify (* 0 PI) into 0
7.819 * [backup-simplify]: Simplify (* 2 0) into 0
7.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.822 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.823 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.823 * [taylor]: Taking taylor expansion of (* n PI) in n
7.823 * [taylor]: Taking taylor expansion of n in n
7.823 * [backup-simplify]: Simplify 0 into 0
7.823 * [backup-simplify]: Simplify 1 into 1
7.823 * [taylor]: Taking taylor expansion of PI in n
7.823 * [backup-simplify]: Simplify PI into PI
7.824 * [backup-simplify]: Simplify (* 0 PI) into 0
7.825 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.826 * [backup-simplify]: Simplify (sqrt 0) into 0
7.827 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
7.827 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
7.827 * [taylor]: Taking taylor expansion of +nan.0 in n
7.827 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.827 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
7.827 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.827 * [taylor]: Taking taylor expansion of 2 in n
7.827 * [backup-simplify]: Simplify 2 into 2
7.828 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.828 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.828 * [taylor]: Taking taylor expansion of (* n PI) in n
7.828 * [taylor]: Taking taylor expansion of n in n
7.828 * [backup-simplify]: Simplify 0 into 0
7.828 * [backup-simplify]: Simplify 1 into 1
7.828 * [taylor]: Taking taylor expansion of PI in n
7.828 * [backup-simplify]: Simplify PI into PI
7.829 * [backup-simplify]: Simplify (* 0 PI) into 0
7.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.831 * [backup-simplify]: Simplify (sqrt 0) into 0
7.832 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.834 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.835 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
7.837 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
7.837 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.838 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
7.838 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.839 * [backup-simplify]: Simplify (- 0) into 0
7.839 * [backup-simplify]: Simplify (+ 0 0) into 0
7.843 * [backup-simplify]: Simplify (- 0) into 0
7.844 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
7.854 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
7.857 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
7.860 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
7.860 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
7.866 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
7.867 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
7.870 * [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
7.870 * [backup-simplify]: Simplify (- 0) into 0
7.871 * [backup-simplify]: Simplify (+ 0 0) into 0
7.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
7.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
7.875 * [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)))
7.877 * [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)))))))))
7.877 * [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
7.877 * [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
7.877 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
7.877 * [taylor]: Taking taylor expansion of +nan.0 in n
7.877 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.877 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
7.877 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
7.877 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.877 * [taylor]: Taking taylor expansion of 2 in n
7.877 * [backup-simplify]: Simplify 2 into 2
7.878 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.878 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.878 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.878 * [taylor]: Taking taylor expansion of 2 in n
7.878 * [backup-simplify]: Simplify 2 into 2
7.878 * [taylor]: Taking taylor expansion of (* n PI) in n
7.878 * [taylor]: Taking taylor expansion of n in n
7.878 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify 1 into 1
7.879 * [taylor]: Taking taylor expansion of PI in n
7.879 * [backup-simplify]: Simplify PI into PI
7.879 * [backup-simplify]: Simplify (* 0 PI) into 0
7.879 * [backup-simplify]: Simplify (* 2 0) into 0
7.881 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.883 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.884 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.884 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.884 * [taylor]: Taking taylor expansion of (* n PI) in n
7.884 * [taylor]: Taking taylor expansion of n in n
7.884 * [backup-simplify]: Simplify 0 into 0
7.884 * [backup-simplify]: Simplify 1 into 1
7.884 * [taylor]: Taking taylor expansion of PI in n
7.884 * [backup-simplify]: Simplify PI into PI
7.884 * [backup-simplify]: Simplify (* 0 PI) into 0
7.886 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.886 * [backup-simplify]: Simplify (sqrt 0) into 0
7.888 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.888 * [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
7.888 * [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
7.888 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
7.888 * [taylor]: Taking taylor expansion of +nan.0 in n
7.888 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.888 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
7.888 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.888 * [taylor]: Taking taylor expansion of 2 in n
7.888 * [backup-simplify]: Simplify 2 into 2
7.889 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.889 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.889 * [taylor]: Taking taylor expansion of (* n PI) in n
7.889 * [taylor]: Taking taylor expansion of n in n
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.889 * [taylor]: Taking taylor expansion of PI in n
7.889 * [backup-simplify]: Simplify PI into PI
7.890 * [backup-simplify]: Simplify (* 0 PI) into 0
7.892 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.892 * [backup-simplify]: Simplify (sqrt 0) into 0
7.893 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.893 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
7.893 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
7.893 * [taylor]: Taking taylor expansion of +nan.0 in n
7.894 * [backup-simplify]: Simplify +nan.0 into +nan.0
7.894 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
7.894 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
7.894 * [taylor]: Taking taylor expansion of (sqrt 2) in n
7.894 * [taylor]: Taking taylor expansion of 2 in n
7.894 * [backup-simplify]: Simplify 2 into 2
7.894 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
7.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
7.895 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
7.895 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
7.895 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
7.895 * [taylor]: Taking taylor expansion of 2 in n
7.895 * [backup-simplify]: Simplify 2 into 2
7.895 * [taylor]: Taking taylor expansion of (* n PI) in n
7.895 * [taylor]: Taking taylor expansion of n in n
7.895 * [backup-simplify]: Simplify 0 into 0
7.895 * [backup-simplify]: Simplify 1 into 1
7.895 * [taylor]: Taking taylor expansion of PI in n
7.895 * [backup-simplify]: Simplify PI into PI
7.896 * [backup-simplify]: Simplify (* 0 PI) into 0
7.896 * [backup-simplify]: Simplify (* 2 0) into 0
7.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.899 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
7.901 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
7.902 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.902 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
7.902 * [taylor]: Taking taylor expansion of (* n PI) in n
7.902 * [taylor]: Taking taylor expansion of n in n
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [taylor]: Taking taylor expansion of PI in n
7.902 * [backup-simplify]: Simplify PI into PI
7.903 * [backup-simplify]: Simplify (* 0 PI) into 0
7.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
7.905 * [backup-simplify]: Simplify (sqrt 0) into 0
7.906 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
7.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.909 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
7.910 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
7.911 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.911 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
7.912 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.913 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.917 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
7.918 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
7.920 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
7.920 * [backup-simplify]: Simplify (* +nan.0 0) into 0
7.920 * [backup-simplify]: Simplify (- 0) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (- 0) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (- 0) into 0
7.922 * [backup-simplify]: Simplify 0 into 0
7.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.924 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
7.926 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
7.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
7.929 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
7.932 * [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))))))))
7.939 * [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))))))))
7.942 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
7.948 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
7.952 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
7.961 * [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))))))))))
7.968 * [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)))))))
7.972 * [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)))))))
7.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
7.976 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
7.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
7.983 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
7.988 * [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))))
7.991 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
7.994 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
8.008 * [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)))))))))))))
8.009 * [backup-simplify]: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
8.009 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
8.009 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
8.009 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
8.009 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
8.009 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
8.009 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
8.009 * [taylor]: Taking taylor expansion of 1/2 in n
8.009 * [backup-simplify]: Simplify 1/2 into 1/2
8.009 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.009 * [taylor]: Taking taylor expansion of 1 in n
8.009 * [backup-simplify]: Simplify 1 into 1
8.009 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.009 * [taylor]: Taking taylor expansion of k in n
8.009 * [backup-simplify]: Simplify k into k
8.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.010 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.010 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.010 * [taylor]: Taking taylor expansion of 2 in n
8.010 * [backup-simplify]: Simplify 2 into 2
8.010 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.010 * [taylor]: Taking taylor expansion of PI in n
8.010 * [backup-simplify]: Simplify PI into PI
8.010 * [taylor]: Taking taylor expansion of n in n
8.010 * [backup-simplify]: Simplify 0 into 0
8.010 * [backup-simplify]: Simplify 1 into 1
8.010 * [backup-simplify]: Simplify (/ PI 1) into PI
8.011 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.012 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.012 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.012 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.012 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
8.014 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.015 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.016 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.016 * [taylor]: Taking taylor expansion of (sqrt k) in n
8.016 * [taylor]: Taking taylor expansion of k in n
8.016 * [backup-simplify]: Simplify k into k
8.016 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
8.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
8.016 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
8.017 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.017 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.017 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.017 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.017 * [taylor]: Taking taylor expansion of 1/2 in k
8.017 * [backup-simplify]: Simplify 1/2 into 1/2
8.017 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.017 * [taylor]: Taking taylor expansion of 1 in k
8.017 * [backup-simplify]: Simplify 1 into 1
8.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.017 * [taylor]: Taking taylor expansion of k in k
8.017 * [backup-simplify]: Simplify 0 into 0
8.017 * [backup-simplify]: Simplify 1 into 1
8.017 * [backup-simplify]: Simplify (/ 1 1) into 1
8.017 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.017 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.017 * [taylor]: Taking taylor expansion of 2 in k
8.017 * [backup-simplify]: Simplify 2 into 2
8.017 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.017 * [taylor]: Taking taylor expansion of PI in k
8.017 * [backup-simplify]: Simplify PI into PI
8.017 * [taylor]: Taking taylor expansion of n in k
8.017 * [backup-simplify]: Simplify n into n
8.018 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.018 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.018 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.018 * [backup-simplify]: Simplify (- 1) into -1
8.019 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.019 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.019 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.019 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.019 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.019 * [taylor]: Taking taylor expansion of k in k
8.019 * [backup-simplify]: Simplify 0 into 0
8.019 * [backup-simplify]: Simplify 1 into 1
8.020 * [backup-simplify]: Simplify (sqrt 0) into 0
8.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.021 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
8.021 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
8.021 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
8.021 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
8.021 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
8.021 * [taylor]: Taking taylor expansion of 1/2 in k
8.021 * [backup-simplify]: Simplify 1/2 into 1/2
8.021 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
8.021 * [taylor]: Taking taylor expansion of 1 in k
8.021 * [backup-simplify]: Simplify 1 into 1
8.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.021 * [taylor]: Taking taylor expansion of k in k
8.021 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 1 into 1
8.022 * [backup-simplify]: Simplify (/ 1 1) into 1
8.022 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
8.022 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
8.022 * [taylor]: Taking taylor expansion of 2 in k
8.022 * [backup-simplify]: Simplify 2 into 2
8.022 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.022 * [taylor]: Taking taylor expansion of PI in k
8.022 * [backup-simplify]: Simplify PI into PI
8.022 * [taylor]: Taking taylor expansion of n in k
8.022 * [backup-simplify]: Simplify n into n
8.022 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.022 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
8.022 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
8.023 * [backup-simplify]: Simplify (- 1) into -1
8.023 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.024 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
8.024 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
8.024 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
8.024 * [taylor]: Taking taylor expansion of (sqrt k) in k
8.024 * [taylor]: Taking taylor expansion of k in k
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [backup-simplify]: Simplify (sqrt 0) into 0
8.026 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.026 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
8.026 * [taylor]: Taking taylor expansion of 0 in n
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.027 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.027 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.027 * [taylor]: Taking taylor expansion of +nan.0 in n
8.027 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.027 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.027 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.027 * [taylor]: Taking taylor expansion of 1/2 in n
8.027 * [backup-simplify]: Simplify 1/2 into 1/2
8.027 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.027 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.027 * [taylor]: Taking taylor expansion of 1 in n
8.027 * [backup-simplify]: Simplify 1 into 1
8.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.027 * [taylor]: Taking taylor expansion of k in n
8.027 * [backup-simplify]: Simplify k into k
8.027 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.027 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.027 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.027 * [taylor]: Taking taylor expansion of 2 in n
8.027 * [backup-simplify]: Simplify 2 into 2
8.027 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.027 * [taylor]: Taking taylor expansion of PI in n
8.027 * [backup-simplify]: Simplify PI into PI
8.027 * [taylor]: Taking taylor expansion of n in n
8.028 * [backup-simplify]: Simplify 0 into 0
8.028 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (/ PI 1) into PI
8.028 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.029 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.032 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.033 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.035 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.036 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.037 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.038 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.038 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.042 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.042 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.042 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.042 * [taylor]: Taking taylor expansion of +nan.0 in n
8.042 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.042 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.042 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.042 * [taylor]: Taking taylor expansion of 1/2 in n
8.042 * [backup-simplify]: Simplify 1/2 into 1/2
8.042 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.042 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.042 * [taylor]: Taking taylor expansion of 1 in n
8.042 * [backup-simplify]: Simplify 1 into 1
8.042 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.042 * [taylor]: Taking taylor expansion of k in n
8.042 * [backup-simplify]: Simplify k into k
8.043 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.043 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.043 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.043 * [taylor]: Taking taylor expansion of 2 in n
8.043 * [backup-simplify]: Simplify 2 into 2
8.043 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.043 * [taylor]: Taking taylor expansion of PI in n
8.043 * [backup-simplify]: Simplify PI into PI
8.043 * [taylor]: Taking taylor expansion of n in n
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 1 into 1
8.043 * [backup-simplify]: Simplify (/ PI 1) into PI
8.044 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.045 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.045 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.045 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.046 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.048 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.049 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.050 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.051 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.052 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.054 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
8.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
8.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.058 * [backup-simplify]: Simplify (- 0) into 0
8.058 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.061 * [backup-simplify]: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
8.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
8.064 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.066 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
8.066 * [backup-simplify]: Simplify (- 0) into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.066 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.071 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
8.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
8.071 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
8.071 * [taylor]: Taking taylor expansion of +nan.0 in n
8.071 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.071 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
8.071 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
8.071 * [taylor]: Taking taylor expansion of 1/2 in n
8.071 * [backup-simplify]: Simplify 1/2 into 1/2
8.071 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
8.071 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
8.071 * [taylor]: Taking taylor expansion of 1 in n
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.071 * [taylor]: Taking taylor expansion of k in n
8.071 * [backup-simplify]: Simplify k into k
8.071 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.071 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
8.071 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
8.071 * [taylor]: Taking taylor expansion of 2 in n
8.071 * [backup-simplify]: Simplify 2 into 2
8.071 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.071 * [taylor]: Taking taylor expansion of PI in n
8.071 * [backup-simplify]: Simplify PI into PI
8.071 * [taylor]: Taking taylor expansion of n in n
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.072 * [backup-simplify]: Simplify (/ PI 1) into PI
8.072 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
8.073 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
8.073 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
8.073 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
8.074 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
8.074 * [backup-simplify]: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
8.075 * [backup-simplify]: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
8.076 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
8.077 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))
8.077 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.078 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
8.080 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
8.081 * [backup-simplify]: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))))
8.081 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0
8.081 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n
8.081 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
8.081 * [taylor]: Taking taylor expansion of (/ k -1) in n
8.081 * [taylor]: Taking taylor expansion of k in n
8.081 * [backup-simplify]: Simplify k into k
8.081 * [taylor]: Taking taylor expansion of -1 in n
8.081 * [backup-simplify]: Simplify -1 into -1
8.081 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
8.081 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
8.082 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
8.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
8.082 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
8.082 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
8.082 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
8.082 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
8.082 * [taylor]: Taking taylor expansion of 1/2 in n
8.082 * [backup-simplify]: Simplify 1/2 into 1/2
8.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.082 * [taylor]: Taking taylor expansion of k in n
8.082 * [backup-simplify]: Simplify k into k
8.082 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.082 * [taylor]: Taking taylor expansion of 1 in n
8.082 * [backup-simplify]: Simplify 1 into 1
8.082 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.082 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.082 * [taylor]: Taking taylor expansion of -2 in n
8.082 * [backup-simplify]: Simplify -2 into -2
8.082 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.082 * [taylor]: Taking taylor expansion of PI in n
8.082 * [backup-simplify]: Simplify PI into PI
8.082 * [taylor]: Taking taylor expansion of n in n
8.082 * [backup-simplify]: Simplify 0 into 0
8.082 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (/ PI 1) into PI
8.083 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.084 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.084 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.084 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
8.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.085 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.086 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
8.086 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
8.086 * [taylor]: Taking taylor expansion of (/ k -1) in k
8.086 * [taylor]: Taking taylor expansion of k in k
8.086 * [backup-simplify]: Simplify 0 into 0
8.086 * [backup-simplify]: Simplify 1 into 1
8.086 * [taylor]: Taking taylor expansion of -1 in k
8.086 * [backup-simplify]: Simplify -1 into -1
8.086 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.087 * [backup-simplify]: Simplify (sqrt 0) into 0
8.088 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.088 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.088 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.088 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.088 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.088 * [taylor]: Taking taylor expansion of 1/2 in k
8.088 * [backup-simplify]: Simplify 1/2 into 1/2
8.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.088 * [taylor]: Taking taylor expansion of k in k
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [backup-simplify]: Simplify (/ 1 1) into 1
8.088 * [taylor]: Taking taylor expansion of 1 in k
8.088 * [backup-simplify]: Simplify 1 into 1
8.088 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.088 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.088 * [taylor]: Taking taylor expansion of -2 in k
8.088 * [backup-simplify]: Simplify -2 into -2
8.088 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.088 * [taylor]: Taking taylor expansion of PI in k
8.088 * [backup-simplify]: Simplify PI into PI
8.088 * [taylor]: Taking taylor expansion of n in k
8.088 * [backup-simplify]: Simplify n into n
8.088 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.088 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.088 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.089 * [backup-simplify]: Simplify (+ 1 0) into 1
8.089 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.089 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.089 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k
8.089 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
8.089 * [taylor]: Taking taylor expansion of (/ k -1) in k
8.089 * [taylor]: Taking taylor expansion of k in k
8.089 * [backup-simplify]: Simplify 0 into 0
8.089 * [backup-simplify]: Simplify 1 into 1
8.089 * [taylor]: Taking taylor expansion of -1 in k
8.089 * [backup-simplify]: Simplify -1 into -1
8.089 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.090 * [backup-simplify]: Simplify (sqrt 0) into 0
8.090 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
8.090 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
8.090 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
8.091 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
8.091 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
8.091 * [taylor]: Taking taylor expansion of 1/2 in k
8.091 * [backup-simplify]: Simplify 1/2 into 1/2
8.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
8.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k
8.091 * [taylor]: Taking taylor expansion of k in k
8.091 * [backup-simplify]: Simplify 0 into 0
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [backup-simplify]: Simplify (/ 1 1) into 1
8.091 * [taylor]: Taking taylor expansion of 1 in k
8.091 * [backup-simplify]: Simplify 1 into 1
8.091 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
8.091 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
8.091 * [taylor]: Taking taylor expansion of -2 in k
8.091 * [backup-simplify]: Simplify -2 into -2
8.091 * [taylor]: Taking taylor expansion of (/ PI n) in k
8.091 * [taylor]: Taking taylor expansion of PI in k
8.091 * [backup-simplify]: Simplify PI into PI
8.091 * [taylor]: Taking taylor expansion of n in k
8.091 * [backup-simplify]: Simplify n into n
8.091 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
8.091 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
8.091 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
8.091 * [backup-simplify]: Simplify (+ 1 0) into 1
8.092 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
8.092 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
8.092 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
8.092 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0
8.092 * [taylor]: Taking taylor expansion of 0 in n
8.092 * [backup-simplify]: Simplify 0 into 0
8.092 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.093 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.093 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.093 * [taylor]: Taking taylor expansion of +nan.0 in n
8.093 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.093 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.093 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.093 * [taylor]: Taking taylor expansion of 1/2 in n
8.093 * [backup-simplify]: Simplify 1/2 into 1/2
8.093 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.093 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.093 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.093 * [taylor]: Taking taylor expansion of -2 in n
8.093 * [backup-simplify]: Simplify -2 into -2
8.093 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.093 * [taylor]: Taking taylor expansion of PI in n
8.093 * [backup-simplify]: Simplify PI into PI
8.093 * [taylor]: Taking taylor expansion of n in n
8.093 * [backup-simplify]: Simplify 0 into 0
8.093 * [backup-simplify]: Simplify 1 into 1
8.093 * [backup-simplify]: Simplify (/ PI 1) into PI
8.093 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.094 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.094 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.094 * [taylor]: Taking taylor expansion of k in n
8.094 * [backup-simplify]: Simplify k into k
8.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.094 * [taylor]: Taking taylor expansion of 1 in n
8.094 * [backup-simplify]: Simplify 1 into 1
8.095 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.095 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.099 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.099 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.100 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.101 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.101 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.102 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.102 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
8.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.105 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.105 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.105 * [taylor]: Taking taylor expansion of +nan.0 in n
8.105 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.106 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.106 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.106 * [taylor]: Taking taylor expansion of 1/2 in n
8.106 * [backup-simplify]: Simplify 1/2 into 1/2
8.106 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.106 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.106 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.106 * [taylor]: Taking taylor expansion of -2 in n
8.106 * [backup-simplify]: Simplify -2 into -2
8.106 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.106 * [taylor]: Taking taylor expansion of PI in n
8.106 * [backup-simplify]: Simplify PI into PI
8.106 * [taylor]: Taking taylor expansion of n in n
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.106 * [backup-simplify]: Simplify (/ PI 1) into PI
8.107 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.108 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.108 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.108 * [taylor]: Taking taylor expansion of k in n
8.108 * [backup-simplify]: Simplify k into k
8.108 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.108 * [taylor]: Taking taylor expansion of 1 in n
8.108 * [backup-simplify]: Simplify 1 into 1
8.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.110 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.111 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.112 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.113 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.114 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.115 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.117 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.118 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
8.119 * [backup-simplify]: Simplify (+ 0 0) into 0
8.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
8.120 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
8.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
8.123 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
8.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
8.127 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.129 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
8.129 * [backup-simplify]: Simplify (- 0) into 0
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify 0 into 0
8.130 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
8.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
8.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
8.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
8.136 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
8.136 * [taylor]: Taking taylor expansion of +nan.0 in n
8.136 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.136 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
8.136 * [taylor]: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
8.136 * [taylor]: Taking taylor expansion of 1/2 in n
8.136 * [backup-simplify]: Simplify 1/2 into 1/2
8.136 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
8.136 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
8.136 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
8.136 * [taylor]: Taking taylor expansion of -2 in n
8.136 * [backup-simplify]: Simplify -2 into -2
8.136 * [taylor]: Taking taylor expansion of (/ PI n) in n
8.136 * [taylor]: Taking taylor expansion of PI in n
8.136 * [backup-simplify]: Simplify PI into PI
8.136 * [taylor]: Taking taylor expansion of n in n
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 1 into 1
8.137 * [backup-simplify]: Simplify (/ PI 1) into PI
8.137 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
8.138 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
8.138 * [taylor]: Taking taylor expansion of (/ 1 k) in n
8.138 * [taylor]: Taking taylor expansion of k in n
8.138 * [backup-simplify]: Simplify k into k
8.138 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
8.139 * [taylor]: Taking taylor expansion of 1 in n
8.139 * [backup-simplify]: Simplify 1 into 1
8.140 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
8.140 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
8.141 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
8.142 * [backup-simplify]: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
8.144 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
8.145 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
8.146 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.147 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
8.151 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
8.152 * * * [progress]: simplifying candidates
8.152 * * * * [progress]: [ 1 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 2 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 3 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 4 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 5 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 6 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 7 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 8 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
8.152 * * * * [progress]: [ 9 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 10 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
8.152 * * * * [progress]: [ 11 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2)))))>
8.153 * * * * [progress]: [ 12 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2)))))>
8.153 * * * * [progress]: [ 13 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2))))>
8.153 * * * * [progress]: [ 14 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2)))))>
8.153 * * * * [progress]: [ 15 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2)))))>
8.153 * * * * [progress]: [ 16 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2))))>
8.153 * * * * [progress]: [ 17 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
8.153 * * * * [progress]: [ 18 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
8.153 * * * * [progress]: [ 19 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
8.153 * * * * [progress]: [ 20 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2)))))>
8.153 * * * * [progress]: [ 21 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2)))))>
8.153 * * * * [progress]: [ 22 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2))))>
8.153 * * * * [progress]: [ 23 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2)))))>
8.153 * * * * [progress]: [ 24 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2)))))>
8.153 * * * * [progress]: [ 25 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2))))>
8.154 * * * * [progress]: [ 26 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2)))))>
8.154 * * * * [progress]: [ 27 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2)))))>
8.154 * * * * [progress]: [ 28 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ 1 1)) (/ (- 1 k) 2))))>
8.154 * * * * [progress]: [ 29 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.154 * * * * [progress]: [ 30 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
8.154 * * * * [progress]: [ 31 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
8.154 * * * * [progress]: [ 32 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
8.154 * * * * [progress]: [ 33 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.154 * * * * [progress]: [ 34 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.154 * * * * [progress]: [ 35 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.154 * * * * [progress]: [ 36 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.154 * * * * [progress]: [ 37 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.154 * * * * [progress]: [ 38 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.154 * * * * [progress]: [ 39 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (* (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.154 * * * * [progress]: [ 40 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.155 * * * * [progress]: [ 41 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 42 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 43 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 44 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (+ (log 2) (log PI)) (log n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 45 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (+ (log (* 2 PI)) (log n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 46 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 47 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 48 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 49 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 50 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 51 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 52 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 53 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 54 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1 k) 2))))>
8.155 * * * * [progress]: [ 55 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) (sqrt n)) (sqrt n)) (/ (- 1 k) 2))))>
8.156 * * * * [progress]: [ 56 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* (* (* 2 PI) 1) n) (/ (- 1 k) 2))))>
8.156 * * * * [progress]: [ 57 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
8.156 * * * * [progress]: [ 58 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
8.156 * * * * [progress]: [ 59 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
8.156 * * * * [progress]: [ 60 / 112 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
8.156 * * * * [progress]: [ 61 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 62 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 63 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 64 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 65 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.156 * * * * [progress]: [ 66 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 67 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 68 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 69 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.156 * * * * [progress]: [ 70 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.156 * * * * [progress]: [ 71 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))))>
8.157 * * * * [progress]: [ 72 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))))>
8.157 * * * * [progress]: [ 73 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.157 * * * * [progress]: [ 74 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
8.157 * * * * [progress]: [ 75 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 76 / 112 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 77 / 112 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 78 / 112 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 79 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 80 / 112 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 81 / 112 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 82 / 112 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.157 * * * * [progress]: [ 83 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 84 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.157 * * * * [progress]: [ 85 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.157 * * * * [progress]: [ 86 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.157 * * * * [progress]: [ 87 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.158 * * * * [progress]: [ 88 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
8.158 * * * * [progress]: [ 89 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
8.158 * * * * [progress]: [ 90 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 91 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 92 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
8.158 * * * * [progress]: [ 93 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))))>
8.158 * * * * [progress]: [ 94 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (cbrt k) (cbrt k)) -1/2) (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 95 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1/2) (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 96 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow 1 -1/2) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 97 / 112 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 98 / 112 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 99 / 112 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 100 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k (/ -1/2 2)) (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
8.158 * * * * [progress]: [ 101 / 112 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
8.158 * * * * [progress]: [ 102 / 112 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
8.158 * * * * [progress]: [ 103 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2)))>
8.159 * * * * [progress]: [ 104 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (- (+ (* 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)))))))>
8.159 * * * * [progress]: [ 105 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
8.159 * * * * [progress]: [ 106 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
8.159 * * * * [progress]: [ 107 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.159 * * * * [progress]: [ 108 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.159 * * * * [progress]: [ 109 / 112 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
8.159 * * * * [progress]: [ 110 / 112 ] 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))))))))))))))>
8.159 * * * * [progress]: [ 111 / 112 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
8.159 * * * * [progress]: [ 112 / 112 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))))>
8.161 * [simplify]: Simplifying:
  (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2))
  (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* (* 2 PI) n) (/ 1 2))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (sqrt (- 1 k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* (* 2 PI) n) (/ (+ 1 (sqrt k)) 1))
  (pow (* (* 2 PI) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* 2 PI) n) (/ 1 (sqrt 2)))
  (pow (* (* 2 PI) n) (/ 1 1))
  (pow (* (* 2 PI) n) 1)
  (pow (* (* 2 PI) n) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (+ (+ (log 2) (log PI)) (log n))
  (+ (log (* 2 PI)) (log n))
  (log (* (* 2 PI) n))
  (exp (* (* 2 PI) n))
  (* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* n n) n))
  (* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* n n) n))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* (* 2 PI) (sqrt n))
  (* (* 2 PI) 1)
  (* PI n)
  (real->posit16 (* (* 2 PI) n))
  (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (* (log k) -1/2) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (+ (log (pow k -1/2)) (* (+ (+ (log 2) (log PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (+ (log (* 2 PI)) (log n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
  (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (log (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (exp (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (cbrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (pow k -1/2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k (/ -1/2 2)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
  (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (* (pow k -1/2) 1)
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))
  (* (pow (cbrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow (sqrt k) -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k (/ -1/2 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2)))
  (real->posit16 (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)))))))
8.165 * * [simplify]: iteration 1: (258 enodes)
8.298 * * [simplify]: iteration 2: (711 enodes)
9.178 * * [simplify]: Extracting #0: cost 71 inf + 0
9.179 * * [simplify]: Extracting #1: cost 378 inf + 0
9.182 * * [simplify]: Extracting #2: cost 699 inf + 4231
9.188 * * [simplify]: Extracting #3: cost 685 inf + 37475
9.206 * * [simplify]: Extracting #4: cost 409 inf + 158190
9.266 * * [simplify]: Extracting #5: cost 163 inf + 272934
9.356 * * [simplify]: Extracting #6: cost 39 inf + 326811
9.457 * * [simplify]: Extracting #7: cost 5 inf + 346140
9.535 * * [simplify]: Extracting #8: cost 0 inf + 346827
9.635 * * [simplify]: Extracting #9: cost 0 inf + 345457
9.736 * * [simplify]: Extracting #10: cost 0 inf + 345377
9.832 * [simplify]: Simplified to:
  (* (/ (- 1 k) 2) (log (* 2 (* PI n))))
  (* (/ (- 1 k) 2) (log (* 2 (* PI n))))
  (* (/ (- 1 k) 2) (log (* 2 (* PI n))))
  (* (/ (- 1 k) 2) (log (* 2 (* PI n))))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* 2 (* PI n)))
  (pow (* 2 (* PI n)) (/ k 2))
  (pow (* 2 (* PI n)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* 2 (* PI n)) (sqrt (/ (- 1 k) 2)))
  (pow (* 2 (* PI n)) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* 2 (* PI n)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* 2 (* PI n)) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* 2 (* PI n)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* 2 (* PI n)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* 2 (* PI n)) (sqrt (- 1 k)))
  (pow (* 2 (* PI n)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* 2 (* PI n)) (/ 1 (sqrt 2)))
  (* 2 (* PI n))
  (pow (* 2 (* PI n)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* 2 (* PI n)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* 2 (* PI n)) (+ (sqrt k) 1))
  (pow (* 2 (* PI n)) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* 2 (* PI n)) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* 2 (* PI n)) (+ (sqrt k) 1))
  (pow (* 2 (* PI n)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* 2 (* PI n)) (/ 1 (sqrt 2)))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (pow (* 2 (* PI n)) (- 1 k))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* 2 (* PI n))))
  (exp (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (cbrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (cbrt (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (pow (* 2 (* PI n)) (/ (- 1 k) 4))
  (pow (* 2 (* PI n)) (/ (- 1 k) 4))
  (real->posit16 (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (log (* 2 (* PI n)))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* 8 (* PI PI)) PI) (* n (* n n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI n)))
  (* (cbrt (* 2 (* PI n))) (cbrt (* 2 (* PI n))))
  (cbrt (* 2 (* PI n)))
  (* (* (* 2 (* PI n)) (* 2 (* PI n))) (* 2 (* PI n)))
  (sqrt (* 2 (* PI n)))
  (sqrt (* 2 (* PI n)))
  (* (* 2 PI) (* (cbrt n) (cbrt n)))
  (* 2 (* (sqrt n) PI))
  (* 2 PI)
  (* PI n)
  (real->posit16 (* 2 (* PI n)))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (+ (* (/ (- 1 k) 2) (log (* 2 (* PI n)))) (* (log k) -1/2))
  (exp (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (pow k -1/2)) (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))
  (* (cbrt (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))) (cbrt (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))
  (cbrt (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (* (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (pow k -1/2)) (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))
  (sqrt (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (sqrt (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (pow (sqrt k) -1/2) (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (pow (sqrt k) -1/2))
  (* (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (fabs (pow k -1/4)))
  (* (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (fabs (pow k -1/4)))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (fabs (pow k -1/4)))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 4)) (fabs (pow k -1/4)))
  (* (pow k -1/4) (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (pow k -1/4) (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (* (pow k -1/4) (pow (* 2 (* PI n)) (/ (- 1 k) 4)))
  (* (pow k -1/4) (pow (* 2 (* PI n)) (/ (- 1 k) 4)))
  (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2)))
  (* (cbrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (* (pow k -1/2) (cbrt (pow (* 2 (* PI n)) (/ (- 1 k) 2)))))
  (* (pow k -1/2) (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (pow k -1/2)
  (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 4)))
  (* (pow (cbrt k) -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (pow (sqrt k) -1/2))
  (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (cbrt (pow k -1/2)))
  (* (fabs (pow k -1/4)) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
  (* (pow (* 2 (* PI n)) (/ (- 1 k) 2)) (pow k -1/4))
  (* (sqrt (* 2 (* PI n))) (pow k -1/2))
  (real->posit16 (* (pow k -1/2) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))
  (- (+ (+ (* (* (* 1/4 (log (* 2 PI))) (* (* k k) (log n))) (exp (* 1/2 (log (* 2 (* PI n)))))) (+ (exp (* 1/2 (log (* 2 (* PI n))))) (* (* (exp (* 1/2 (log (* 2 (* PI n))))) (* (log (* 2 PI)) (log (* 2 PI)))) (* (* k k) 1/8)))) (* (* (* (log n) (log n)) (* k k)) (* 1/8 (exp (* 1/2 (log (* 2 (* PI n)))))))) (* 1/2 (* k (+ (* (log n) (exp (* 1/2 (log (* 2 (* PI n)))))) (* (exp (* 1/2 (log (* 2 (* PI n))))) (log (* 2 PI)))))))
  (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2)))
  (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (* (- 1 k) 1/2)))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (* 2 (* PI n))
  (- (+ (- (* +nan.0 (* (sqrt 2) (* (* n PI) k))) (* (* +nan.0 (sqrt 2)) (* PI n))) (+ (- (* (* (log (* 2 PI)) (sqrt 2)) (* (* (* n PI) k) +nan.0)) (* (* (* +nan.0 (sqrt 2)) (* PI n)) (* k (log n)))) (* (* +nan.0 (sqrt 2)) (* (* n PI) (* n PI))))))
  (+ (* +nan.0 (- (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) k))) (* +nan.0 (- (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) (* k k)) (/ (exp (* (log (* 2 (* PI n))) (* (- 1 k) 1/2))) (* k (* k k))))))
  (- (+ (- (/ (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (* (- 1 k) 1/2))) +nan.0) (* k (* k k))) (* +nan.0 (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (* (- 1 k) 1/2))) (* k k)))) (/ (* (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (* (- 1 k) 1/2))) +nan.0) k)))
9.838 * * * [progress]: adding candidates to table
10.329 * * [progress]: iteration 4 / 4
10.329 * * * [progress]: picking best candidate
10.346 * * * * [pick]: Picked  #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
10.346 * * * [progress]: localizing error
10.378 * * * [progress]: generating rewritten candidates
10.378 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
10.408 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
10.435 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
10.468 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.541 * * * [progress]: generating series expansions
10.542 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
10.542 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
10.542 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
10.542 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
10.542 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
10.543 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
10.543 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.543 * [taylor]: Taking taylor expansion of 1/2 in k
10.543 * [backup-simplify]: Simplify 1/2 into 1/2
10.543 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.543 * [taylor]: Taking taylor expansion of 1/2 in k
10.543 * [backup-simplify]: Simplify 1/2 into 1/2
10.543 * [taylor]: Taking taylor expansion of k in k
10.543 * [backup-simplify]: Simplify 0 into 0
10.543 * [backup-simplify]: Simplify 1 into 1
10.543 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.543 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.543 * [taylor]: Taking taylor expansion of 2 in k
10.543 * [backup-simplify]: Simplify 2 into 2
10.543 * [taylor]: Taking taylor expansion of (* n PI) in k
10.543 * [taylor]: Taking taylor expansion of n in k
10.543 * [backup-simplify]: Simplify n into n
10.543 * [taylor]: Taking taylor expansion of PI in k
10.543 * [backup-simplify]: Simplify PI into PI
10.543 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.543 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.543 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.543 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.544 * [backup-simplify]: Simplify (- 0) into 0
10.544 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.544 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
10.544 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
10.544 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
10.544 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
10.544 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
10.544 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.544 * [taylor]: Taking taylor expansion of 1/2 in n
10.544 * [backup-simplify]: Simplify 1/2 into 1/2
10.544 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.544 * [taylor]: Taking taylor expansion of 1/2 in n
10.544 * [backup-simplify]: Simplify 1/2 into 1/2
10.544 * [taylor]: Taking taylor expansion of k in n
10.544 * [backup-simplify]: Simplify k into k
10.544 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.544 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.544 * [taylor]: Taking taylor expansion of 2 in n
10.544 * [backup-simplify]: Simplify 2 into 2
10.544 * [taylor]: Taking taylor expansion of (* n PI) in n
10.544 * [taylor]: Taking taylor expansion of n in n
10.544 * [backup-simplify]: Simplify 0 into 0
10.544 * [backup-simplify]: Simplify 1 into 1
10.544 * [taylor]: Taking taylor expansion of PI in n
10.544 * [backup-simplify]: Simplify PI into PI
10.545 * [backup-simplify]: Simplify (* 0 PI) into 0
10.545 * [backup-simplify]: Simplify (* 2 0) into 0
10.546 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.547 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.548 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.548 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.548 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.548 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.549 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.549 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.550 * [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)))))
10.550 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
10.550 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
10.550 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
10.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.550 * [taylor]: Taking taylor expansion of 1/2 in n
10.550 * [backup-simplify]: Simplify 1/2 into 1/2
10.550 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.550 * [taylor]: Taking taylor expansion of 1/2 in n
10.550 * [backup-simplify]: Simplify 1/2 into 1/2
10.550 * [taylor]: Taking taylor expansion of k in n
10.550 * [backup-simplify]: Simplify k into k
10.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.550 * [taylor]: Taking taylor expansion of 2 in n
10.551 * [backup-simplify]: Simplify 2 into 2
10.551 * [taylor]: Taking taylor expansion of (* n PI) in n
10.551 * [taylor]: Taking taylor expansion of n in n
10.551 * [backup-simplify]: Simplify 0 into 0
10.551 * [backup-simplify]: Simplify 1 into 1
10.551 * [taylor]: Taking taylor expansion of PI in n
10.551 * [backup-simplify]: Simplify PI into PI
10.551 * [backup-simplify]: Simplify (* 0 PI) into 0
10.551 * [backup-simplify]: Simplify (* 2 0) into 0
10.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.553 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.554 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.554 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.554 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.554 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.556 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.557 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.558 * [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)))))
10.558 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
10.559 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
10.559 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.559 * [taylor]: Taking taylor expansion of 1/2 in k
10.559 * [backup-simplify]: Simplify 1/2 into 1/2
10.559 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.559 * [taylor]: Taking taylor expansion of 1/2 in k
10.559 * [backup-simplify]: Simplify 1/2 into 1/2
10.559 * [taylor]: Taking taylor expansion of k in k
10.559 * [backup-simplify]: Simplify 0 into 0
10.559 * [backup-simplify]: Simplify 1 into 1
10.559 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.559 * [taylor]: Taking taylor expansion of (log n) in k
10.559 * [taylor]: Taking taylor expansion of n in k
10.559 * [backup-simplify]: Simplify n into n
10.559 * [backup-simplify]: Simplify (log n) into (log n)
10.559 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.559 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.559 * [taylor]: Taking taylor expansion of 2 in k
10.559 * [backup-simplify]: Simplify 2 into 2
10.559 * [taylor]: Taking taylor expansion of PI in k
10.559 * [backup-simplify]: Simplify PI into PI
10.560 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.561 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.561 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.562 * [backup-simplify]: Simplify (- 0) into 0
10.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.563 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.578 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
10.579 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.580 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.583 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.586 * [backup-simplify]: Simplify (- 0) into 0
10.586 * [backup-simplify]: Simplify (+ 0 0) into 0
10.588 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.590 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.592 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.592 * [taylor]: Taking taylor expansion of 0 in k
10.592 * [backup-simplify]: Simplify 0 into 0
10.592 * [backup-simplify]: Simplify 0 into 0
10.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.593 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.595 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.596 * [backup-simplify]: Simplify (+ 0 0) into 0
10.597 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.597 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.597 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
10.603 * [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)))))))
10.606 * [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)))))))
10.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.608 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.611 * [backup-simplify]: Simplify (- 0) into 0
10.611 * [backup-simplify]: Simplify (+ 0 0) into 0
10.612 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.613 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.614 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.614 * [taylor]: Taking taylor expansion of 0 in k
10.614 * [backup-simplify]: Simplify 0 into 0
10.614 * [backup-simplify]: Simplify 0 into 0
10.615 * [backup-simplify]: Simplify 0 into 0
10.616 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.618 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.618 * [backup-simplify]: Simplify (+ 0 0) into 0
10.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.619 * [backup-simplify]: Simplify (- 0) into 0
10.619 * [backup-simplify]: Simplify (+ 0 0) into 0
10.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.623 * [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)))))
10.626 * [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)))))
10.632 * [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)))))
10.632 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
10.633 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
10.633 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.633 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.633 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.633 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.633 * [taylor]: Taking taylor expansion of 1/2 in k
10.633 * [backup-simplify]: Simplify 1/2 into 1/2
10.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.633 * [taylor]: Taking taylor expansion of 1/2 in k
10.633 * [backup-simplify]: Simplify 1/2 into 1/2
10.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.633 * [taylor]: Taking taylor expansion of k in k
10.633 * [backup-simplify]: Simplify 0 into 0
10.633 * [backup-simplify]: Simplify 1 into 1
10.633 * [backup-simplify]: Simplify (/ 1 1) into 1
10.633 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.633 * [taylor]: Taking taylor expansion of 2 in k
10.633 * [backup-simplify]: Simplify 2 into 2
10.633 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.633 * [taylor]: Taking taylor expansion of PI in k
10.633 * [backup-simplify]: Simplify PI into PI
10.633 * [taylor]: Taking taylor expansion of n in k
10.633 * [backup-simplify]: Simplify n into n
10.633 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.633 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.633 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.634 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.634 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.634 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.634 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.634 * [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))))
10.634 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.634 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.634 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.634 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.634 * [taylor]: Taking taylor expansion of 1/2 in n
10.634 * [backup-simplify]: Simplify 1/2 into 1/2
10.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.634 * [taylor]: Taking taylor expansion of 1/2 in n
10.635 * [backup-simplify]: Simplify 1/2 into 1/2
10.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.635 * [taylor]: Taking taylor expansion of k in n
10.635 * [backup-simplify]: Simplify k into k
10.635 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.635 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.635 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.635 * [taylor]: Taking taylor expansion of 2 in n
10.635 * [backup-simplify]: Simplify 2 into 2
10.635 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.635 * [taylor]: Taking taylor expansion of PI in n
10.635 * [backup-simplify]: Simplify PI into PI
10.635 * [taylor]: Taking taylor expansion of n in n
10.635 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify 1 into 1
10.635 * [backup-simplify]: Simplify (/ PI 1) into PI
10.635 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.636 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.636 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.636 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.636 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.637 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.638 * [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)))
10.639 * [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))))
10.639 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.639 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.639 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.639 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.639 * [taylor]: Taking taylor expansion of 1/2 in n
10.639 * [backup-simplify]: Simplify 1/2 into 1/2
10.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.639 * [taylor]: Taking taylor expansion of 1/2 in n
10.639 * [backup-simplify]: Simplify 1/2 into 1/2
10.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.639 * [taylor]: Taking taylor expansion of k in n
10.639 * [backup-simplify]: Simplify k into k
10.639 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.639 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.639 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.639 * [taylor]: Taking taylor expansion of 2 in n
10.639 * [backup-simplify]: Simplify 2 into 2
10.639 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.639 * [taylor]: Taking taylor expansion of PI in n
10.639 * [backup-simplify]: Simplify PI into PI
10.639 * [taylor]: Taking taylor expansion of n in n
10.639 * [backup-simplify]: Simplify 0 into 0
10.639 * [backup-simplify]: Simplify 1 into 1
10.639 * [backup-simplify]: Simplify (/ PI 1) into PI
10.640 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.640 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.640 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.640 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.640 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.641 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.642 * [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)))
10.643 * [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))))
10.643 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
10.643 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
10.643 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.643 * [taylor]: Taking taylor expansion of 1/2 in k
10.643 * [backup-simplify]: Simplify 1/2 into 1/2
10.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.643 * [taylor]: Taking taylor expansion of 1/2 in k
10.643 * [backup-simplify]: Simplify 1/2 into 1/2
10.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.643 * [taylor]: Taking taylor expansion of k in k
10.643 * [backup-simplify]: Simplify 0 into 0
10.643 * [backup-simplify]: Simplify 1 into 1
10.643 * [backup-simplify]: Simplify (/ 1 1) into 1
10.643 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.643 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.643 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.644 * [taylor]: Taking taylor expansion of 2 in k
10.644 * [backup-simplify]: Simplify 2 into 2
10.644 * [taylor]: Taking taylor expansion of PI in k
10.644 * [backup-simplify]: Simplify PI into PI
10.644 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.645 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.645 * [taylor]: Taking taylor expansion of (log n) in k
10.645 * [taylor]: Taking taylor expansion of n in k
10.645 * [backup-simplify]: Simplify n into n
10.645 * [backup-simplify]: Simplify (log n) into (log n)
10.645 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.645 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.645 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.645 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.646 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.647 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
10.648 * [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))))
10.648 * [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))))
10.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.649 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.651 * [backup-simplify]: Simplify (- 0) into 0
10.651 * [backup-simplify]: Simplify (+ 0 0) into 0
10.652 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.653 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.654 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.654 * [taylor]: Taking taylor expansion of 0 in k
10.654 * [backup-simplify]: Simplify 0 into 0
10.654 * [backup-simplify]: Simplify 0 into 0
10.654 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.656 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.658 * [backup-simplify]: Simplify (- 0) into 0
10.659 * [backup-simplify]: Simplify (+ 0 0) into 0
10.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.661 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.662 * [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
10.662 * [taylor]: Taking taylor expansion of 0 in k
10.662 * [backup-simplify]: Simplify 0 into 0
10.662 * [backup-simplify]: Simplify 0 into 0
10.662 * [backup-simplify]: Simplify 0 into 0
10.662 * [backup-simplify]: Simplify 0 into 0
10.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.664 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.667 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.668 * [backup-simplify]: Simplify (- 0) into 0
10.669 * [backup-simplify]: Simplify (+ 0 0) into 0
10.669 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.671 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
10.672 * [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
10.672 * [taylor]: Taking taylor expansion of 0 in k
10.672 * [backup-simplify]: Simplify 0 into 0
10.672 * [backup-simplify]: Simplify 0 into 0
10.673 * [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)))))
10.674 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
10.674 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
10.674 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.674 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
10.674 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
10.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.674 * [taylor]: Taking taylor expansion of 1/2 in k
10.674 * [backup-simplify]: Simplify 1/2 into 1/2
10.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.674 * [taylor]: Taking taylor expansion of k in k
10.674 * [backup-simplify]: Simplify 0 into 0
10.674 * [backup-simplify]: Simplify 1 into 1
10.674 * [backup-simplify]: Simplify (/ 1 1) into 1
10.674 * [taylor]: Taking taylor expansion of 1/2 in k
10.674 * [backup-simplify]: Simplify 1/2 into 1/2
10.674 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
10.674 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
10.674 * [taylor]: Taking taylor expansion of -2 in k
10.674 * [backup-simplify]: Simplify -2 into -2
10.674 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.674 * [taylor]: Taking taylor expansion of PI in k
10.674 * [backup-simplify]: Simplify PI into PI
10.674 * [taylor]: Taking taylor expansion of n in k
10.674 * [backup-simplify]: Simplify n into n
10.674 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.674 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
10.674 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
10.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.675 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.675 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
10.675 * [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)))
10.675 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.675 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.675 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.675 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.675 * [taylor]: Taking taylor expansion of 1/2 in n
10.675 * [backup-simplify]: Simplify 1/2 into 1/2
10.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.675 * [taylor]: Taking taylor expansion of k in n
10.675 * [backup-simplify]: Simplify k into k
10.675 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.675 * [taylor]: Taking taylor expansion of 1/2 in n
10.675 * [backup-simplify]: Simplify 1/2 into 1/2
10.675 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.675 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.675 * [taylor]: Taking taylor expansion of -2 in n
10.675 * [backup-simplify]: Simplify -2 into -2
10.676 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.676 * [taylor]: Taking taylor expansion of PI in n
10.676 * [backup-simplify]: Simplify PI into PI
10.676 * [taylor]: Taking taylor expansion of n in n
10.676 * [backup-simplify]: Simplify 0 into 0
10.676 * [backup-simplify]: Simplify 1 into 1
10.681 * [backup-simplify]: Simplify (/ PI 1) into PI
10.682 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.682 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.682 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.682 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.683 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.684 * [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)))
10.685 * [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))))
10.685 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.685 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
10.685 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
10.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.685 * [taylor]: Taking taylor expansion of 1/2 in n
10.685 * [backup-simplify]: Simplify 1/2 into 1/2
10.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.685 * [taylor]: Taking taylor expansion of k in n
10.685 * [backup-simplify]: Simplify k into k
10.685 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.685 * [taylor]: Taking taylor expansion of 1/2 in n
10.685 * [backup-simplify]: Simplify 1/2 into 1/2
10.685 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
10.685 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.685 * [taylor]: Taking taylor expansion of -2 in n
10.685 * [backup-simplify]: Simplify -2 into -2
10.685 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.685 * [taylor]: Taking taylor expansion of PI in n
10.685 * [backup-simplify]: Simplify PI into PI
10.685 * [taylor]: Taking taylor expansion of n in n
10.685 * [backup-simplify]: Simplify 0 into 0
10.685 * [backup-simplify]: Simplify 1 into 1
10.686 * [backup-simplify]: Simplify (/ PI 1) into PI
10.686 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.687 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.687 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.687 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.688 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.688 * [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)))
10.689 * [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))))
10.689 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
10.689 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
10.689 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.689 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.689 * [taylor]: Taking taylor expansion of 1/2 in k
10.689 * [backup-simplify]: Simplify 1/2 into 1/2
10.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.689 * [taylor]: Taking taylor expansion of k in k
10.689 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify 1 into 1
10.690 * [backup-simplify]: Simplify (/ 1 1) into 1
10.690 * [taylor]: Taking taylor expansion of 1/2 in k
10.690 * [backup-simplify]: Simplify 1/2 into 1/2
10.690 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
10.690 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
10.690 * [taylor]: Taking taylor expansion of (* -2 PI) in k
10.690 * [taylor]: Taking taylor expansion of -2 in k
10.690 * [backup-simplify]: Simplify -2 into -2
10.690 * [taylor]: Taking taylor expansion of PI in k
10.690 * [backup-simplify]: Simplify PI into PI
10.690 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.691 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
10.691 * [taylor]: Taking taylor expansion of (log n) in k
10.691 * [taylor]: Taking taylor expansion of n in k
10.691 * [backup-simplify]: Simplify n into n
10.691 * [backup-simplify]: Simplify (log n) into (log n)
10.691 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.691 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.691 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.692 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
10.693 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
10.694 * [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))))
10.694 * [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))))
10.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.696 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
10.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.697 * [backup-simplify]: Simplify (+ 0 0) into 0
10.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.699 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
10.700 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.700 * [taylor]: Taking taylor expansion of 0 in k
10.700 * [backup-simplify]: Simplify 0 into 0
10.700 * [backup-simplify]: Simplify 0 into 0
10.700 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.702 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
10.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.704 * [backup-simplify]: Simplify (+ 0 0) into 0
10.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.706 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
10.708 * [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
10.708 * [taylor]: Taking taylor expansion of 0 in k
10.708 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.710 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.714 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
10.714 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.715 * [backup-simplify]: Simplify (+ 0 0) into 0
10.716 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.717 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
10.719 * [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
10.719 * [taylor]: Taking taylor expansion of 0 in k
10.719 * [backup-simplify]: Simplify 0 into 0
10.719 * [backup-simplify]: Simplify 0 into 0
10.720 * [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)))))
10.720 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
10.720 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
10.720 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
10.720 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.720 * [taylor]: Taking taylor expansion of 2 in n
10.720 * [backup-simplify]: Simplify 2 into 2
10.720 * [taylor]: Taking taylor expansion of (* n PI) in n
10.720 * [taylor]: Taking taylor expansion of n in n
10.720 * [backup-simplify]: Simplify 0 into 0
10.720 * [backup-simplify]: Simplify 1 into 1
10.720 * [taylor]: Taking taylor expansion of PI in n
10.720 * [backup-simplify]: Simplify PI into PI
10.720 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.720 * [taylor]: Taking taylor expansion of 2 in n
10.720 * [backup-simplify]: Simplify 2 into 2
10.720 * [taylor]: Taking taylor expansion of (* n PI) in n
10.720 * [taylor]: Taking taylor expansion of n in n
10.720 * [backup-simplify]: Simplify 0 into 0
10.720 * [backup-simplify]: Simplify 1 into 1
10.720 * [taylor]: Taking taylor expansion of PI in n
10.720 * [backup-simplify]: Simplify PI into PI
10.721 * [backup-simplify]: Simplify (* 0 PI) into 0
10.721 * [backup-simplify]: Simplify (* 2 0) into 0
10.721 * [backup-simplify]: Simplify 0 into 0
10.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.723 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.725 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.725 * [backup-simplify]: Simplify 0 into 0
10.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.726 * [backup-simplify]: Simplify 0 into 0
10.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
10.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
10.728 * [backup-simplify]: Simplify 0 into 0
10.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
10.729 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
10.729 * [backup-simplify]: Simplify 0 into 0
10.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
10.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
10.732 * [backup-simplify]: Simplify 0 into 0
10.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
10.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
10.734 * [backup-simplify]: Simplify 0 into 0
10.734 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
10.735 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
10.735 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
10.735 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.735 * [taylor]: Taking taylor expansion of 2 in n
10.735 * [backup-simplify]: Simplify 2 into 2
10.735 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.735 * [taylor]: Taking taylor expansion of PI in n
10.735 * [backup-simplify]: Simplify PI into PI
10.735 * [taylor]: Taking taylor expansion of n in n
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 1 into 1
10.735 * [backup-simplify]: Simplify (/ PI 1) into PI
10.735 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.735 * [taylor]: Taking taylor expansion of 2 in n
10.735 * [backup-simplify]: Simplify 2 into 2
10.735 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.735 * [taylor]: Taking taylor expansion of PI in n
10.735 * [backup-simplify]: Simplify PI into PI
10.735 * [taylor]: Taking taylor expansion of n in n
10.735 * [backup-simplify]: Simplify 0 into 0
10.735 * [backup-simplify]: Simplify 1 into 1
10.736 * [backup-simplify]: Simplify (/ PI 1) into PI
10.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.736 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.737 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.739 * [backup-simplify]: Simplify 0 into 0
10.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.740 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.740 * [backup-simplify]: Simplify 0 into 0
10.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.741 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
10.741 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
10.743 * [backup-simplify]: Simplify 0 into 0
10.744 * [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
10.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
10.745 * [backup-simplify]: Simplify 0 into 0
10.745 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
10.746 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
10.746 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
10.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.746 * [taylor]: Taking taylor expansion of -2 in n
10.746 * [backup-simplify]: Simplify -2 into -2
10.746 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.746 * [taylor]: Taking taylor expansion of PI in n
10.746 * [backup-simplify]: Simplify PI into PI
10.746 * [taylor]: Taking taylor expansion of n in n
10.746 * [backup-simplify]: Simplify 0 into 0
10.746 * [backup-simplify]: Simplify 1 into 1
10.746 * [backup-simplify]: Simplify (/ PI 1) into PI
10.746 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
10.746 * [taylor]: Taking taylor expansion of -2 in n
10.746 * [backup-simplify]: Simplify -2 into -2
10.746 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.746 * [taylor]: Taking taylor expansion of PI in n
10.746 * [backup-simplify]: Simplify PI into PI
10.746 * [taylor]: Taking taylor expansion of n in n
10.746 * [backup-simplify]: Simplify 0 into 0
10.746 * [backup-simplify]: Simplify 1 into 1
10.746 * [backup-simplify]: Simplify (/ PI 1) into PI
10.747 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.747 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
10.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.748 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
10.748 * [backup-simplify]: Simplify 0 into 0
10.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.749 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.749 * [backup-simplify]: Simplify 0 into 0
10.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.751 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.751 * [backup-simplify]: Simplify 0 into 0
10.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.753 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
10.753 * [backup-simplify]: Simplify 0 into 0
10.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.754 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
10.754 * [backup-simplify]: Simplify 0 into 0
10.755 * [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
10.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
10.756 * [backup-simplify]: Simplify 0 into 0
10.756 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
10.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
10.757 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) into (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
10.757 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
10.757 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
10.757 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k
10.757 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k
10.757 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k
10.757 * [taylor]: Taking taylor expansion of 1/4 in k
10.757 * [backup-simplify]: Simplify 1/4 into 1/4
10.757 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k
10.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.757 * [taylor]: Taking taylor expansion of k in k
10.757 * [backup-simplify]: Simplify 0 into 0
10.757 * [backup-simplify]: Simplify 1 into 1
10.757 * [backup-simplify]: Simplify (/ 1 1) into 1
10.757 * [backup-simplify]: Simplify (log 1) into 0
10.758 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
10.758 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k))
10.758 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4)
10.758 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
10.758 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
10.758 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
10.758 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.758 * [taylor]: Taking taylor expansion of 1/2 in k
10.758 * [backup-simplify]: Simplify 1/2 into 1/2
10.758 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.758 * [taylor]: Taking taylor expansion of 1/2 in k
10.758 * [backup-simplify]: Simplify 1/2 into 1/2
10.758 * [taylor]: Taking taylor expansion of k in k
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 1 into 1
10.758 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
10.758 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
10.758 * [taylor]: Taking taylor expansion of 2 in k
10.758 * [backup-simplify]: Simplify 2 into 2
10.758 * [taylor]: Taking taylor expansion of (* n PI) in k
10.758 * [taylor]: Taking taylor expansion of n in k
10.758 * [backup-simplify]: Simplify n into n
10.758 * [taylor]: Taking taylor expansion of PI in k
10.758 * [backup-simplify]: Simplify PI into PI
10.758 * [backup-simplify]: Simplify (* n PI) into (* n PI)
10.758 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
10.758 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
10.759 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.759 * [backup-simplify]: Simplify (- 0) into 0
10.759 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.759 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
10.759 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
10.759 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
10.759 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n
10.759 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n
10.759 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n
10.759 * [taylor]: Taking taylor expansion of 1/4 in n
10.759 * [backup-simplify]: Simplify 1/4 into 1/4
10.759 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n
10.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.759 * [taylor]: Taking taylor expansion of k in n
10.759 * [backup-simplify]: Simplify k into k
10.759 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.760 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k))
10.760 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k)))
10.760 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4)
10.760 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
10.760 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
10.760 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
10.760 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.760 * [taylor]: Taking taylor expansion of 1/2 in n
10.760 * [backup-simplify]: Simplify 1/2 into 1/2
10.760 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.760 * [taylor]: Taking taylor expansion of 1/2 in n
10.760 * [backup-simplify]: Simplify 1/2 into 1/2
10.760 * [taylor]: Taking taylor expansion of k in n
10.760 * [backup-simplify]: Simplify k into k
10.760 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.760 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.760 * [taylor]: Taking taylor expansion of 2 in n
10.760 * [backup-simplify]: Simplify 2 into 2
10.760 * [taylor]: Taking taylor expansion of (* n PI) in n
10.760 * [taylor]: Taking taylor expansion of n in n
10.760 * [backup-simplify]: Simplify 0 into 0
10.760 * [backup-simplify]: Simplify 1 into 1
10.760 * [taylor]: Taking taylor expansion of PI in n
10.760 * [backup-simplify]: Simplify PI into PI
10.760 * [backup-simplify]: Simplify (* 0 PI) into 0
10.761 * [backup-simplify]: Simplify (* 2 0) into 0
10.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.763 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.763 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.763 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.763 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.763 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.764 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.765 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.766 * [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)))))
10.766 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
10.766 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n
10.766 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n
10.766 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n
10.766 * [taylor]: Taking taylor expansion of 1/4 in n
10.766 * [backup-simplify]: Simplify 1/4 into 1/4
10.766 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n
10.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.766 * [taylor]: Taking taylor expansion of k in n
10.766 * [backup-simplify]: Simplify k into k
10.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.766 * [backup-simplify]: Simplify (log (/ 1 k)) into (log (/ 1 k))
10.766 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k)))
10.766 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4)
10.766 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
10.766 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
10.766 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
10.766 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.766 * [taylor]: Taking taylor expansion of 1/2 in n
10.766 * [backup-simplify]: Simplify 1/2 into 1/2
10.766 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.766 * [taylor]: Taking taylor expansion of 1/2 in n
10.766 * [backup-simplify]: Simplify 1/2 into 1/2
10.766 * [taylor]: Taking taylor expansion of k in n
10.766 * [backup-simplify]: Simplify k into k
10.766 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
10.766 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
10.766 * [taylor]: Taking taylor expansion of 2 in n
10.766 * [backup-simplify]: Simplify 2 into 2
10.766 * [taylor]: Taking taylor expansion of (* n PI) in n
10.766 * [taylor]: Taking taylor expansion of n in n
10.766 * [backup-simplify]: Simplify 0 into 0
10.766 * [backup-simplify]: Simplify 1 into 1
10.766 * [taylor]: Taking taylor expansion of PI in n
10.766 * [backup-simplify]: Simplify PI into PI
10.767 * [backup-simplify]: Simplify (* 0 PI) into 0
10.767 * [backup-simplify]: Simplify (* 2 0) into 0
10.768 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
10.769 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
10.770 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.770 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.770 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.770 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.771 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
10.778 * [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)))))
10.780 * [backup-simplify]: Simplify (* (pow (/ 1 k) 1/4) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4))
10.780 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) in k
10.780 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
10.780 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
10.780 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.780 * [taylor]: Taking taylor expansion of 1/2 in k
10.780 * [backup-simplify]: Simplify 1/2 into 1/2
10.780 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.780 * [taylor]: Taking taylor expansion of 1/2 in k
10.780 * [backup-simplify]: Simplify 1/2 into 1/2
10.780 * [taylor]: Taking taylor expansion of k in k
10.780 * [backup-simplify]: Simplify 0 into 0
10.780 * [backup-simplify]: Simplify 1 into 1
10.780 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
10.780 * [taylor]: Taking taylor expansion of (log n) in k
10.780 * [taylor]: Taking taylor expansion of n in k
10.780 * [backup-simplify]: Simplify n into n
10.780 * [backup-simplify]: Simplify (log n) into (log n)
10.780 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.780 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.780 * [taylor]: Taking taylor expansion of 2 in k
10.780 * [backup-simplify]: Simplify 2 into 2
10.780 * [taylor]: Taking taylor expansion of PI in k
10.780 * [backup-simplify]: Simplify PI into PI
10.780 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.782 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.783 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.783 * [backup-simplify]: Simplify (- 0) into 0
10.783 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.784 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.784 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
10.785 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
10.785 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k
10.785 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k
10.785 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k
10.785 * [taylor]: Taking taylor expansion of 1/4 in k
10.785 * [backup-simplify]: Simplify 1/4 into 1/4
10.785 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k
10.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.785 * [taylor]: Taking taylor expansion of k in k
10.785 * [backup-simplify]: Simplify 0 into 0
10.785 * [backup-simplify]: Simplify 1 into 1
10.786 * [backup-simplify]: Simplify (/ 1 1) into 1
10.786 * [backup-simplify]: Simplify (log 1) into 0
10.786 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
10.786 * [backup-simplify]: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k))
10.786 * [backup-simplify]: Simplify (exp (* -1/4 (log k))) into (pow k -1/4)
10.787 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4))
10.788 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4))
10.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
10.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
10.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.791 * [backup-simplify]: Simplify (- 0) into 0
10.791 * [backup-simplify]: Simplify (+ 0 0) into 0
10.792 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.793 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
10.794 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0
10.795 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0
10.795 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.796 * [backup-simplify]: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
10.796 * [taylor]: Taking taylor expansion of 0 in k
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify 0 into 0
10.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.798 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
10.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0
10.799 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
10.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.800 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.801 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.801 * [backup-simplify]: Simplify (+ 0 0) into 0
10.801 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.802 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.802 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
10.807 * [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)))))))
10.811 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)))))
10.816 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4)))))
10.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
10.818 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
10.822 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.824 * [backup-simplify]: Simplify (- 0) into 0
10.824 * [backup-simplify]: Simplify (+ 0 0) into 0
10.826 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
10.827 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.830 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.832 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0
10.833 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0
10.835 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.836 * [backup-simplify]: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
10.836 * [taylor]: Taking taylor expansion of 0 in k
10.836 * [backup-simplify]: Simplify 0 into 0
10.836 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 0 into 0
10.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.841 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
10.842 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0
10.843 * [backup-simplify]: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.845 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.850 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.850 * [backup-simplify]: Simplify (+ 0 0) into 0
10.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.852 * [backup-simplify]: Simplify (- 0) into 0
10.852 * [backup-simplify]: Simplify (+ 0 0) into 0
10.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
10.859 * [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)))))
10.870 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))))
10.878 * [backup-simplify]: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))))))
10.893 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4)))))
10.894 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) into (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
10.894 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
10.894 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.894 * [taylor]: Taking taylor expansion of (pow k 1/4) in k
10.894 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k
10.894 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k
10.894 * [taylor]: Taking taylor expansion of 1/4 in k
10.894 * [backup-simplify]: Simplify 1/4 into 1/4
10.894 * [taylor]: Taking taylor expansion of (log k) in k
10.894 * [taylor]: Taking taylor expansion of k in k
10.894 * [backup-simplify]: Simplify 0 into 0
10.894 * [backup-simplify]: Simplify 1 into 1
10.894 * [backup-simplify]: Simplify (log 1) into 0
10.895 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k)
10.895 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k))
10.895 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
10.895 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.895 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
10.895 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
10.895 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.895 * [taylor]: Taking taylor expansion of 1/2 in k
10.895 * [backup-simplify]: Simplify 1/2 into 1/2
10.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.895 * [taylor]: Taking taylor expansion of 1/2 in k
10.895 * [backup-simplify]: Simplify 1/2 into 1/2
10.895 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.895 * [taylor]: Taking taylor expansion of k in k
10.895 * [backup-simplify]: Simplify 0 into 0
10.895 * [backup-simplify]: Simplify 1 into 1
10.896 * [backup-simplify]: Simplify (/ 1 1) into 1
10.896 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
10.896 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
10.896 * [taylor]: Taking taylor expansion of 2 in k
10.896 * [backup-simplify]: Simplify 2 into 2
10.896 * [taylor]: Taking taylor expansion of (/ PI n) in k
10.896 * [taylor]: Taking taylor expansion of PI in k
10.896 * [backup-simplify]: Simplify PI into PI
10.896 * [taylor]: Taking taylor expansion of n in k
10.896 * [backup-simplify]: Simplify n into n
10.896 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
10.896 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
10.896 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
10.897 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.897 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.898 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.898 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
10.898 * [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))))
10.898 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.898 * [taylor]: Taking taylor expansion of (pow k 1/4) in n
10.898 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n
10.898 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n
10.898 * [taylor]: Taking taylor expansion of 1/4 in n
10.898 * [backup-simplify]: Simplify 1/4 into 1/4
10.898 * [taylor]: Taking taylor expansion of (log k) in n
10.898 * [taylor]: Taking taylor expansion of k in n
10.898 * [backup-simplify]: Simplify k into k
10.898 * [backup-simplify]: Simplify (log k) into (log k)
10.898 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k))
10.899 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
10.899 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.899 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.899 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.899 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.899 * [taylor]: Taking taylor expansion of 1/2 in n
10.899 * [backup-simplify]: Simplify 1/2 into 1/2
10.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.899 * [taylor]: Taking taylor expansion of 1/2 in n
10.899 * [backup-simplify]: Simplify 1/2 into 1/2
10.899 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.899 * [taylor]: Taking taylor expansion of k in n
10.899 * [backup-simplify]: Simplify k into k
10.899 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.899 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.899 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.899 * [taylor]: Taking taylor expansion of 2 in n
10.899 * [backup-simplify]: Simplify 2 into 2
10.899 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.899 * [taylor]: Taking taylor expansion of PI in n
10.899 * [backup-simplify]: Simplify PI into PI
10.899 * [taylor]: Taking taylor expansion of n in n
10.899 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify 1 into 1
10.900 * [backup-simplify]: Simplify (/ PI 1) into PI
10.900 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.902 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.902 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.902 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.902 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.903 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.905 * [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)))
10.906 * [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))))
10.906 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.906 * [taylor]: Taking taylor expansion of (pow k 1/4) in n
10.906 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n
10.906 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n
10.906 * [taylor]: Taking taylor expansion of 1/4 in n
10.906 * [backup-simplify]: Simplify 1/4 into 1/4
10.906 * [taylor]: Taking taylor expansion of (log k) in n
10.906 * [taylor]: Taking taylor expansion of k in n
10.906 * [backup-simplify]: Simplify k into k
10.906 * [backup-simplify]: Simplify (log k) into (log k)
10.906 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k))
10.907 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
10.907 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.907 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
10.907 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
10.907 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.907 * [taylor]: Taking taylor expansion of 1/2 in n
10.907 * [backup-simplify]: Simplify 1/2 into 1/2
10.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.907 * [taylor]: Taking taylor expansion of 1/2 in n
10.907 * [backup-simplify]: Simplify 1/2 into 1/2
10.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.907 * [taylor]: Taking taylor expansion of k in n
10.907 * [backup-simplify]: Simplify k into k
10.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.907 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
10.907 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
10.907 * [taylor]: Taking taylor expansion of 2 in n
10.907 * [backup-simplify]: Simplify 2 into 2
10.907 * [taylor]: Taking taylor expansion of (/ PI n) in n
10.907 * [taylor]: Taking taylor expansion of PI in n
10.907 * [backup-simplify]: Simplify PI into PI
10.907 * [taylor]: Taking taylor expansion of n in n
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ PI 1) into PI
10.908 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.909 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.910 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.910 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.910 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.911 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.913 * [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)))
10.914 * [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))))
10.922 * [backup-simplify]: Simplify (* (pow k 1/4) (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)))) (pow k 1/4))
10.923 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) in k
10.923 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
10.923 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
10.923 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.923 * [taylor]: Taking taylor expansion of 1/2 in k
10.923 * [backup-simplify]: Simplify 1/2 into 1/2
10.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.923 * [taylor]: Taking taylor expansion of 1/2 in k
10.923 * [backup-simplify]: Simplify 1/2 into 1/2
10.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.923 * [taylor]: Taking taylor expansion of k in k
10.923 * [backup-simplify]: Simplify 0 into 0
10.923 * [backup-simplify]: Simplify 1 into 1
10.924 * [backup-simplify]: Simplify (/ 1 1) into 1
10.924 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
10.924 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
10.924 * [taylor]: Taking taylor expansion of (* 2 PI) in k
10.924 * [taylor]: Taking taylor expansion of 2 in k
10.924 * [backup-simplify]: Simplify 2 into 2
10.924 * [taylor]: Taking taylor expansion of PI in k
10.924 * [backup-simplify]: Simplify PI into PI
10.925 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
10.926 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
10.926 * [taylor]: Taking taylor expansion of (log n) in k
10.926 * [taylor]: Taking taylor expansion of n in k
10.926 * [backup-simplify]: Simplify n into n
10.926 * [backup-simplify]: Simplify (log n) into (log n)
10.927 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.927 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.927 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.928 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.929 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
10.930 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
10.931 * [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))))
10.931 * [taylor]: Taking taylor expansion of (pow k 1/4) in k
10.931 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k
10.931 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k
10.931 * [taylor]: Taking taylor expansion of 1/4 in k
10.931 * [backup-simplify]: Simplify 1/4 into 1/4
10.931 * [taylor]: Taking taylor expansion of (log k) in k
10.931 * [taylor]: Taking taylor expansion of k in k
10.931 * [backup-simplify]: Simplify 0 into 0
10.931 * [backup-simplify]: Simplify 1 into 1
10.932 * [backup-simplify]: Simplify (log 1) into 0
10.932 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k)
10.932 * [backup-simplify]: Simplify (* 1/4 (log k)) into (* 1/4 (log k))
10.932 * [backup-simplify]: Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
10.934 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4))
10.935 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4))
10.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
10.937 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
10.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
10.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.941 * [backup-simplify]: Simplify (- 0) into 0
10.942 * [backup-simplify]: Simplify (+ 0 0) into 0
10.943 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.945 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
10.947 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0
10.948 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0
10.949 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
10.950 * [backup-simplify]: Simplify (+ (* (pow k 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
10.950 * [taylor]: Taking taylor expansion of 0 in k
10.950 * [backup-simplify]: Simplify 0 into 0
10.950 * [backup-simplify]: Simplify 0 into 0
10.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
10.952 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k)
10.953 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0
10.954 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
10.955 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (pow k 1/4))) into 0
10.955 * [backup-simplify]: Simplify 0 into 0
10.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
10.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
10.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.963 * [backup-simplify]: Simplify (- 0) into 0
10.963 * [backup-simplify]: Simplify (+ 0 0) into 0
10.965 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.966 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
10.969 * [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
10.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0
10.972 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0
10.973 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.974 * [backup-simplify]: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
10.975 * [taylor]: Taking taylor expansion of 0 in k
10.975 * [backup-simplify]: Simplify 0 into 0
10.975 * [backup-simplify]: Simplify 0 into 0
10.975 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
10.976 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k)
10.977 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0
10.978 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.979 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0
10.979 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.980 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
10.983 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
10.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.985 * [backup-simplify]: Simplify (- 0) into 0
10.985 * [backup-simplify]: Simplify (+ 0 0) into 0
10.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
10.988 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
10.989 * [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
10.991 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0
10.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0
10.993 * [backup-simplify]: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.994 * [backup-simplify]: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
10.994 * [taylor]: Taking taylor expansion of 0 in k
10.994 * [backup-simplify]: Simplify 0 into 0
10.994 * [backup-simplify]: Simplify 0 into 0
10.995 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4))
10.995 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
10.995 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
10.995 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
10.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k
10.995 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
10.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.996 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.996 * [taylor]: Taking taylor expansion of -1 in k
10.996 * [backup-simplify]: Simplify -1 into -1
10.996 * [taylor]: Taking taylor expansion of k in k
10.996 * [backup-simplify]: Simplify 0 into 0
10.996 * [backup-simplify]: Simplify 1 into 1
10.996 * [backup-simplify]: Simplify (/ -1 1) into -1
10.996 * [backup-simplify]: Simplify (sqrt 0) into 0
10.997 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.997 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
10.998 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0)
10.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.004 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
11.006 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
11.006 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.006 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
11.006 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
11.006 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.006 * [taylor]: Taking taylor expansion of 1/2 in k
11.006 * [backup-simplify]: Simplify 1/2 into 1/2
11.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.006 * [taylor]: Taking taylor expansion of k in k
11.006 * [backup-simplify]: Simplify 0 into 0
11.006 * [backup-simplify]: Simplify 1 into 1
11.007 * [backup-simplify]: Simplify (/ 1 1) into 1
11.007 * [taylor]: Taking taylor expansion of 1/2 in k
11.007 * [backup-simplify]: Simplify 1/2 into 1/2
11.007 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.007 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.007 * [taylor]: Taking taylor expansion of -2 in k
11.007 * [backup-simplify]: Simplify -2 into -2
11.007 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.007 * [taylor]: Taking taylor expansion of PI in k
11.007 * [backup-simplify]: Simplify PI into PI
11.007 * [taylor]: Taking taylor expansion of n in k
11.007 * [backup-simplify]: Simplify n into n
11.007 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.007 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.007 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.008 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.008 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.008 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.009 * [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)))
11.009 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n
11.009 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
11.009 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.009 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.009 * [taylor]: Taking taylor expansion of -1 in n
11.009 * [backup-simplify]: Simplify -1 into -1
11.009 * [taylor]: Taking taylor expansion of k in n
11.009 * [backup-simplify]: Simplify k into k
11.009 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.009 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.009 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.009 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
11.009 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k))))
11.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
11.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0
11.010 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.010 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
11.010 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
11.010 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.010 * [taylor]: Taking taylor expansion of 1/2 in n
11.010 * [backup-simplify]: Simplify 1/2 into 1/2
11.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.010 * [taylor]: Taking taylor expansion of k in n
11.010 * [backup-simplify]: Simplify k into k
11.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.010 * [taylor]: Taking taylor expansion of 1/2 in n
11.010 * [backup-simplify]: Simplify 1/2 into 1/2
11.010 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.010 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.010 * [taylor]: Taking taylor expansion of -2 in n
11.010 * [backup-simplify]: Simplify -2 into -2
11.010 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.010 * [taylor]: Taking taylor expansion of PI in n
11.011 * [backup-simplify]: Simplify PI into PI
11.011 * [taylor]: Taking taylor expansion of n in n
11.011 * [backup-simplify]: Simplify 0 into 0
11.011 * [backup-simplify]: Simplify 1 into 1
11.011 * [backup-simplify]: Simplify (/ PI 1) into PI
11.012 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.013 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.013 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.013 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.015 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.016 * [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)))
11.018 * [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))))
11.018 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
11.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n
11.018 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n
11.018 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.018 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.018 * [taylor]: Taking taylor expansion of -1 in n
11.018 * [backup-simplify]: Simplify -1 into -1
11.018 * [taylor]: Taking taylor expansion of k in n
11.018 * [backup-simplify]: Simplify k into k
11.018 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.018 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.018 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.019 * [backup-simplify]: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k)))
11.019 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k))))
11.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
11.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0
11.019 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.019 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
11.019 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
11.019 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.019 * [taylor]: Taking taylor expansion of 1/2 in n
11.019 * [backup-simplify]: Simplify 1/2 into 1/2
11.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.019 * [taylor]: Taking taylor expansion of k in n
11.019 * [backup-simplify]: Simplify k into k
11.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.019 * [taylor]: Taking taylor expansion of 1/2 in n
11.019 * [backup-simplify]: Simplify 1/2 into 1/2
11.019 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.019 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.019 * [taylor]: Taking taylor expansion of -2 in n
11.019 * [backup-simplify]: Simplify -2 into -2
11.019 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.020 * [taylor]: Taking taylor expansion of PI in n
11.020 * [backup-simplify]: Simplify PI into PI
11.020 * [taylor]: Taking taylor expansion of n in n
11.020 * [backup-simplify]: Simplify 0 into 0
11.020 * [backup-simplify]: Simplify 1 into 1
11.020 * [backup-simplify]: Simplify (/ PI 1) into PI
11.021 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.022 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.022 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.022 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.024 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.025 * [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)))
11.026 * [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))))
11.028 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
11.028 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
11.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k
11.028 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
11.028 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.028 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.028 * [taylor]: Taking taylor expansion of -1 in k
11.028 * [backup-simplify]: Simplify -1 into -1
11.028 * [taylor]: Taking taylor expansion of k in k
11.028 * [backup-simplify]: Simplify 0 into 0
11.028 * [backup-simplify]: Simplify 1 into 1
11.029 * [backup-simplify]: Simplify (/ -1 1) into -1
11.029 * [backup-simplify]: Simplify (sqrt 0) into 0
11.031 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.031 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
11.031 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0)
11.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.036 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.038 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
11.041 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
11.041 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
11.041 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
11.041 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.041 * [taylor]: Taking taylor expansion of 1/2 in k
11.041 * [backup-simplify]: Simplify 1/2 into 1/2
11.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.041 * [taylor]: Taking taylor expansion of k in k
11.041 * [backup-simplify]: Simplify 0 into 0
11.041 * [backup-simplify]: Simplify 1 into 1
11.042 * [backup-simplify]: Simplify (/ 1 1) into 1
11.042 * [taylor]: Taking taylor expansion of 1/2 in k
11.042 * [backup-simplify]: Simplify 1/2 into 1/2
11.042 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.042 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.042 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.042 * [taylor]: Taking taylor expansion of -2 in k
11.042 * [backup-simplify]: Simplify -2 into -2
11.042 * [taylor]: Taking taylor expansion of PI in k
11.042 * [backup-simplify]: Simplify PI into PI
11.042 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.044 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.044 * [taylor]: Taking taylor expansion of (log n) in k
11.044 * [taylor]: Taking taylor expansion of n in k
11.044 * [backup-simplify]: Simplify n into n
11.044 * [backup-simplify]: Simplify (log n) into (log n)
11.044 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.045 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.045 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.046 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.047 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
11.048 * [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))))
11.050 * [backup-simplify]: Simplify (* (sqrt +nan.0) (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)))) (sqrt +nan.0))
11.052 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0))
11.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.054 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.057 * [backup-simplify]: Simplify (+ 0 0) into 0
11.059 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.060 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.070 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.071 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
11.071 * [taylor]: Taking taylor expansion of 0 in k
11.072 * [backup-simplify]: Simplify 0 into 0
11.072 * [backup-simplify]: Simplify 0 into 0
11.074 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +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)))) (sqrt +nan.0))))
11.076 * [backup-simplify]: Simplify (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0))))
11.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.079 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.084 * [backup-simplify]: Simplify (+ 0 0) into 0
11.086 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.088 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.090 * [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
11.090 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
11.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
11.092 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0
11.094 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0
11.094 * [taylor]: Taking taylor expansion of 0 in k
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify 0 into 0
11.094 * [backup-simplify]: Simplify 0 into 0
11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.104 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
11.109 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
11.120 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +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)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0))))))
11.124 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0))))))
11.132 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) into (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2)))))))))
11.132 * * * * [progress]: [ 4 / 4 ] generating series at (2)
11.133 * [backup-simplify]: Simplify (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k)))
11.133 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0
11.133 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
11.133 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
11.134 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
11.134 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
11.134 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.134 * [taylor]: Taking taylor expansion of 1/2 in k
11.134 * [backup-simplify]: Simplify 1/2 into 1/2
11.134 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.134 * [taylor]: Taking taylor expansion of 1/2 in k
11.134 * [backup-simplify]: Simplify 1/2 into 1/2
11.134 * [taylor]: Taking taylor expansion of k in k
11.134 * [backup-simplify]: Simplify 0 into 0
11.134 * [backup-simplify]: Simplify 1 into 1
11.134 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
11.134 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
11.134 * [taylor]: Taking taylor expansion of 2 in k
11.134 * [backup-simplify]: Simplify 2 into 2
11.134 * [taylor]: Taking taylor expansion of (* n PI) in k
11.134 * [taylor]: Taking taylor expansion of n in k
11.134 * [backup-simplify]: Simplify n into n
11.134 * [taylor]: Taking taylor expansion of PI in k
11.134 * [backup-simplify]: Simplify PI into PI
11.134 * [backup-simplify]: Simplify (* n PI) into (* n PI)
11.134 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
11.134 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
11.135 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.135 * [backup-simplify]: Simplify (- 0) into 0
11.136 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.136 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
11.136 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
11.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.136 * [taylor]: Taking taylor expansion of k in k
11.136 * [backup-simplify]: Simplify 0 into 0
11.136 * [backup-simplify]: Simplify 1 into 1
11.137 * [backup-simplify]: Simplify (/ 1 1) into 1
11.137 * [backup-simplify]: Simplify (sqrt 0) into 0
11.138 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.138 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
11.138 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
11.139 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
11.139 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
11.139 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.139 * [taylor]: Taking taylor expansion of 1/2 in n
11.139 * [backup-simplify]: Simplify 1/2 into 1/2
11.139 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.139 * [taylor]: Taking taylor expansion of 1/2 in n
11.139 * [backup-simplify]: Simplify 1/2 into 1/2
11.139 * [taylor]: Taking taylor expansion of k in n
11.139 * [backup-simplify]: Simplify k into k
11.139 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.139 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.139 * [taylor]: Taking taylor expansion of 2 in n
11.139 * [backup-simplify]: Simplify 2 into 2
11.139 * [taylor]: Taking taylor expansion of (* n PI) in n
11.139 * [taylor]: Taking taylor expansion of n in n
11.139 * [backup-simplify]: Simplify 0 into 0
11.139 * [backup-simplify]: Simplify 1 into 1
11.139 * [taylor]: Taking taylor expansion of PI in n
11.139 * [backup-simplify]: Simplify PI into PI
11.140 * [backup-simplify]: Simplify (* 0 PI) into 0
11.141 * [backup-simplify]: Simplify (* 2 0) into 0
11.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.144 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.146 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.146 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.146 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.146 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.148 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.149 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
11.150 * [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)))))
11.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.150 * [taylor]: Taking taylor expansion of k in n
11.150 * [backup-simplify]: Simplify k into k
11.150 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.151 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.151 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
11.151 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
11.151 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
11.151 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
11.151 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
11.151 * [taylor]: Taking taylor expansion of 1/2 in n
11.151 * [backup-simplify]: Simplify 1/2 into 1/2
11.151 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
11.151 * [taylor]: Taking taylor expansion of 1/2 in n
11.151 * [backup-simplify]: Simplify 1/2 into 1/2
11.151 * [taylor]: Taking taylor expansion of k in n
11.151 * [backup-simplify]: Simplify k into k
11.151 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
11.151 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
11.151 * [taylor]: Taking taylor expansion of 2 in n
11.151 * [backup-simplify]: Simplify 2 into 2
11.151 * [taylor]: Taking taylor expansion of (* n PI) in n
11.151 * [taylor]: Taking taylor expansion of n in n
11.151 * [backup-simplify]: Simplify 0 into 0
11.151 * [backup-simplify]: Simplify 1 into 1
11.151 * [taylor]: Taking taylor expansion of PI in n
11.151 * [backup-simplify]: Simplify PI into PI
11.152 * [backup-simplify]: Simplify (* 0 PI) into 0
11.152 * [backup-simplify]: Simplify (* 2 0) into 0
11.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
11.156 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
11.157 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.157 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
11.157 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
11.157 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
11.158 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.160 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
11.161 * [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)))))
11.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.161 * [taylor]: Taking taylor expansion of k in n
11.161 * [backup-simplify]: Simplify k into k
11.161 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.161 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.163 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
11.163 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
11.163 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.163 * [taylor]: Taking taylor expansion of k in k
11.163 * [backup-simplify]: Simplify 0 into 0
11.163 * [backup-simplify]: Simplify 1 into 1
11.164 * [backup-simplify]: Simplify (/ 1 1) into 1
11.164 * [backup-simplify]: Simplify (sqrt 0) into 0
11.166 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.166 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
11.166 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
11.166 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
11.166 * [taylor]: Taking taylor expansion of 1/2 in k
11.166 * [backup-simplify]: Simplify 1/2 into 1/2
11.166 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
11.166 * [taylor]: Taking taylor expansion of 1/2 in k
11.166 * [backup-simplify]: Simplify 1/2 into 1/2
11.166 * [taylor]: Taking taylor expansion of k in k
11.166 * [backup-simplify]: Simplify 0 into 0
11.166 * [backup-simplify]: Simplify 1 into 1
11.166 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
11.166 * [taylor]: Taking taylor expansion of (log n) in k
11.166 * [taylor]: Taking taylor expansion of n in k
11.166 * [backup-simplify]: Simplify n into n
11.166 * [backup-simplify]: Simplify (log n) into (log n)
11.166 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.166 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.166 * [taylor]: Taking taylor expansion of 2 in k
11.166 * [backup-simplify]: Simplify 2 into 2
11.166 * [taylor]: Taking taylor expansion of PI in k
11.166 * [backup-simplify]: Simplify PI into PI
11.167 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.168 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.168 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.169 * [backup-simplify]: Simplify (- 0) into 0
11.169 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.170 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.172 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
11.173 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
11.174 * [backup-simplify]: Simplify (* 0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into 0
11.174 * [backup-simplify]: Simplify 0 into 0
11.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
11.176 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
11.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
11.179 * [backup-simplify]: Simplify (- 0) into 0
11.180 * [backup-simplify]: Simplify (+ 0 0) into 0
11.181 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.183 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
11.185 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.186 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
11.186 * [taylor]: Taking taylor expansion of 0 in k
11.186 * [backup-simplify]: Simplify 0 into 0
11.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
11.188 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.190 * [backup-simplify]: Simplify (+ 0 0) into 0
11.191 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.191 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.192 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
11.197 * [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)))))))
11.202 * [backup-simplify]: Simplify (+ (* 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))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
11.203 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
11.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.204 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
11.207 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
11.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
11.212 * [backup-simplify]: Simplify (- 0) into 0
11.213 * [backup-simplify]: Simplify (+ 0 0) into 0
11.214 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.216 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.219 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.228 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
11.228 * [taylor]: Taking taylor expansion of 0 in k
11.228 * [backup-simplify]: Simplify 0 into 0
11.228 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
11.231 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.235 * [backup-simplify]: Simplify (+ 0 0) into 0
11.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.237 * [backup-simplify]: Simplify (- 0) into 0
11.237 * [backup-simplify]: Simplify (+ 0 0) into 0
11.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
11.243 * [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)))))
11.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.248 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.258 * [backup-simplify]: Simplify (+ (* 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 (* (+ (* 1/2 (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)))))))) into (- (+ (* +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))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))))
11.263 * [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))))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) 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))))))))
11.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
11.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
11.268 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
11.275 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
11.277 * [backup-simplify]: Simplify (- 0) into 0
11.277 * [backup-simplify]: Simplify (+ 0 0) into 0
11.279 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
11.281 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
11.284 * [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
11.286 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
11.286 * [taylor]: Taking taylor expansion of 0 in k
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.289 * [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
11.291 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.297 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.299 * [backup-simplify]: Simplify (- 0) into 0
11.299 * [backup-simplify]: Simplify (+ 0 0) into 0
11.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
11.309 * [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)))))))
11.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.335 * [backup-simplify]: Simplify (+ (* 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)))))))) (+ (* +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 (* (+ (* 1/2 (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))))))))) into (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))))))))))))
11.349 * [backup-simplify]: Simplify (- (+ (* +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))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) into (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (log n))))))))))))))
11.373 * [backup-simplify]: Simplify (+ (* (- (+ (* +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))))) (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)))))) (- (+ (* +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))))) (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))))))))))))))))))))))
11.374 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 n) (* 2 PI)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
11.374 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0
11.374 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
11.374 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.374 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
11.374 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
11.374 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.375 * [taylor]: Taking taylor expansion of 1/2 in k
11.375 * [backup-simplify]: Simplify 1/2 into 1/2
11.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.375 * [taylor]: Taking taylor expansion of 1/2 in k
11.375 * [backup-simplify]: Simplify 1/2 into 1/2
11.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.375 * [taylor]: Taking taylor expansion of k in k
11.375 * [backup-simplify]: Simplify 0 into 0
11.375 * [backup-simplify]: Simplify 1 into 1
11.375 * [backup-simplify]: Simplify (/ 1 1) into 1
11.375 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
11.375 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
11.375 * [taylor]: Taking taylor expansion of 2 in k
11.375 * [backup-simplify]: Simplify 2 into 2
11.375 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.375 * [taylor]: Taking taylor expansion of PI in k
11.375 * [backup-simplify]: Simplify PI into PI
11.375 * [taylor]: Taking taylor expansion of n in k
11.375 * [backup-simplify]: Simplify n into n
11.376 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.376 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
11.376 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
11.376 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.377 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.377 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.377 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
11.377 * [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))))
11.377 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.378 * [taylor]: Taking taylor expansion of k in k
11.378 * [backup-simplify]: Simplify 0 into 0
11.378 * [backup-simplify]: Simplify 1 into 1
11.378 * [backup-simplify]: Simplify (sqrt 0) into 0
11.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.380 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
11.380 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.380 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.380 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.380 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.380 * [taylor]: Taking taylor expansion of 1/2 in n
11.380 * [backup-simplify]: Simplify 1/2 into 1/2
11.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.380 * [taylor]: Taking taylor expansion of 1/2 in n
11.380 * [backup-simplify]: Simplify 1/2 into 1/2
11.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.380 * [taylor]: Taking taylor expansion of k in n
11.380 * [backup-simplify]: Simplify k into k
11.380 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.380 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.380 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.380 * [taylor]: Taking taylor expansion of 2 in n
11.380 * [backup-simplify]: Simplify 2 into 2
11.380 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.380 * [taylor]: Taking taylor expansion of PI in n
11.380 * [backup-simplify]: Simplify PI into PI
11.380 * [taylor]: Taking taylor expansion of n in n
11.380 * [backup-simplify]: Simplify 0 into 0
11.380 * [backup-simplify]: Simplify 1 into 1
11.381 * [backup-simplify]: Simplify (/ PI 1) into PI
11.382 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.383 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.383 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.383 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.395 * [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)))
11.397 * [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))))
11.397 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.397 * [taylor]: Taking taylor expansion of k in n
11.397 * [backup-simplify]: Simplify k into k
11.397 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.397 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
11.397 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.397 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
11.397 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
11.397 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.397 * [taylor]: Taking taylor expansion of 1/2 in n
11.397 * [backup-simplify]: Simplify 1/2 into 1/2
11.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.397 * [taylor]: Taking taylor expansion of 1/2 in n
11.397 * [backup-simplify]: Simplify 1/2 into 1/2
11.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.397 * [taylor]: Taking taylor expansion of k in n
11.397 * [backup-simplify]: Simplify k into k
11.397 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.397 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
11.397 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
11.397 * [taylor]: Taking taylor expansion of 2 in n
11.397 * [backup-simplify]: Simplify 2 into 2
11.397 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.398 * [taylor]: Taking taylor expansion of PI in n
11.398 * [backup-simplify]: Simplify PI into PI
11.398 * [taylor]: Taking taylor expansion of n in n
11.398 * [backup-simplify]: Simplify 0 into 0
11.398 * [backup-simplify]: Simplify 1 into 1
11.398 * [backup-simplify]: Simplify (/ PI 1) into PI
11.399 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.400 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.400 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.400 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.400 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.402 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.403 * [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)))
11.405 * [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))))
11.405 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.405 * [taylor]: Taking taylor expansion of k in n
11.405 * [backup-simplify]: Simplify k into k
11.405 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.406 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
11.406 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
11.406 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
11.407 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
11.407 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.407 * [taylor]: Taking taylor expansion of 1/2 in k
11.407 * [backup-simplify]: Simplify 1/2 into 1/2
11.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.407 * [taylor]: Taking taylor expansion of 1/2 in k
11.407 * [backup-simplify]: Simplify 1/2 into 1/2
11.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.407 * [taylor]: Taking taylor expansion of k in k
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify 1 into 1
11.407 * [backup-simplify]: Simplify (/ 1 1) into 1
11.407 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
11.407 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
11.407 * [taylor]: Taking taylor expansion of (* 2 PI) in k
11.407 * [taylor]: Taking taylor expansion of 2 in k
11.407 * [backup-simplify]: Simplify 2 into 2
11.407 * [taylor]: Taking taylor expansion of PI in k
11.407 * [backup-simplify]: Simplify PI into PI
11.408 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
11.409 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
11.409 * [taylor]: Taking taylor expansion of (log n) in k
11.409 * [taylor]: Taking taylor expansion of n in k
11.409 * [backup-simplify]: Simplify n into n
11.409 * [backup-simplify]: Simplify (log n) into (log n)
11.410 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.410 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.411 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.411 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.412 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
11.413 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
11.414 * [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))))
11.414 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.415 * [taylor]: Taking taylor expansion of k in k
11.415 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 1 into 1
11.415 * [backup-simplify]: Simplify (sqrt 0) into 0
11.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.418 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
11.418 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
11.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
11.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.423 * [backup-simplify]: Simplify (- 0) into 0
11.424 * [backup-simplify]: Simplify (+ 0 0) into 0
11.425 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.427 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
11.429 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.430 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (sqrt k))) into 0
11.430 * [taylor]: Taking taylor expansion of 0 in k
11.430 * [backup-simplify]: Simplify 0 into 0
11.430 * [backup-simplify]: Simplify 0 into 0
11.433 * [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))))))
11.434 * [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))))))
11.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
11.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
11.441 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
11.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.443 * [backup-simplify]: Simplify (- 0) into 0
11.443 * [backup-simplify]: Simplify (+ 0 0) into 0
11.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.447 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
11.450 * [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
11.453 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
11.453 * [taylor]: Taking taylor expansion of 0 in k
11.453 * [backup-simplify]: Simplify 0 into 0
11.453 * [backup-simplify]: Simplify 0 into 0
11.453 * [backup-simplify]: Simplify 0 into 0
11.457 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.459 * [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))))))
11.460 * [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))))))
11.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
11.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
11.470 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
11.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
11.472 * [backup-simplify]: Simplify (- 0) into 0
11.472 * [backup-simplify]: Simplify (+ 0 0) into 0
11.474 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
11.476 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
11.479 * [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
11.481 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
11.481 * [taylor]: Taking taylor expansion of 0 in k
11.481 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.488 * [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))))))
11.490 * [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))))))
11.494 * [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))))))))
11.495 * [backup-simplify]: Simplify (/ (/ (pow (* (/ 1 (- n)) (* 2 PI)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
11.495 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
11.495 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
11.495 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
11.495 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
11.495 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
11.495 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.496 * [taylor]: Taking taylor expansion of 1/2 in k
11.496 * [backup-simplify]: Simplify 1/2 into 1/2
11.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.496 * [taylor]: Taking taylor expansion of k in k
11.496 * [backup-simplify]: Simplify 0 into 0
11.496 * [backup-simplify]: Simplify 1 into 1
11.496 * [backup-simplify]: Simplify (/ 1 1) into 1
11.496 * [taylor]: Taking taylor expansion of 1/2 in k
11.496 * [backup-simplify]: Simplify 1/2 into 1/2
11.496 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
11.496 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
11.496 * [taylor]: Taking taylor expansion of -2 in k
11.496 * [backup-simplify]: Simplify -2 into -2
11.496 * [taylor]: Taking taylor expansion of (/ PI n) in k
11.496 * [taylor]: Taking taylor expansion of PI in k
11.496 * [backup-simplify]: Simplify PI into PI
11.496 * [taylor]: Taking taylor expansion of n in k
11.496 * [backup-simplify]: Simplify n into n
11.497 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
11.497 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
11.497 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
11.497 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.498 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.498 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
11.498 * [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)))
11.498 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.498 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.498 * [taylor]: Taking taylor expansion of -1 in k
11.498 * [backup-simplify]: Simplify -1 into -1
11.498 * [taylor]: Taking taylor expansion of k in k
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.499 * [backup-simplify]: Simplify (/ -1 1) into -1
11.499 * [backup-simplify]: Simplify (sqrt 0) into 0
11.500 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.501 * [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))))
11.501 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
11.501 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.501 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
11.501 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
11.501 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.501 * [taylor]: Taking taylor expansion of 1/2 in n
11.501 * [backup-simplify]: Simplify 1/2 into 1/2
11.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.501 * [taylor]: Taking taylor expansion of k in n
11.501 * [backup-simplify]: Simplify k into k
11.501 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.501 * [taylor]: Taking taylor expansion of 1/2 in n
11.501 * [backup-simplify]: Simplify 1/2 into 1/2
11.501 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.501 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.501 * [taylor]: Taking taylor expansion of -2 in n
11.501 * [backup-simplify]: Simplify -2 into -2
11.501 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.501 * [taylor]: Taking taylor expansion of PI in n
11.501 * [backup-simplify]: Simplify PI into PI
11.501 * [taylor]: Taking taylor expansion of n in n
11.501 * [backup-simplify]: Simplify 0 into 0
11.502 * [backup-simplify]: Simplify 1 into 1
11.502 * [backup-simplify]: Simplify (/ PI 1) into PI
11.503 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.504 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.504 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.504 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.505 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.507 * [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)))
11.508 * [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))))
11.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.508 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.508 * [taylor]: Taking taylor expansion of -1 in n
11.508 * [backup-simplify]: Simplify -1 into -1
11.509 * [taylor]: Taking taylor expansion of k in n
11.509 * [backup-simplify]: Simplify k into k
11.509 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.509 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.509 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.510 * [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)))
11.510 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
11.510 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
11.510 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
11.510 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
11.510 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
11.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.511 * [taylor]: Taking taylor expansion of 1/2 in n
11.511 * [backup-simplify]: Simplify 1/2 into 1/2
11.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.511 * [taylor]: Taking taylor expansion of k in n
11.511 * [backup-simplify]: Simplify k into k
11.511 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.511 * [taylor]: Taking taylor expansion of 1/2 in n
11.511 * [backup-simplify]: Simplify 1/2 into 1/2
11.511 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
11.511 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
11.511 * [taylor]: Taking taylor expansion of -2 in n
11.511 * [backup-simplify]: Simplify -2 into -2
11.511 * [taylor]: Taking taylor expansion of (/ PI n) in n
11.511 * [taylor]: Taking taylor expansion of PI in n
11.511 * [backup-simplify]: Simplify PI into PI
11.511 * [taylor]: Taking taylor expansion of n in n
11.511 * [backup-simplify]: Simplify 0 into 0
11.511 * [backup-simplify]: Simplify 1 into 1
11.512 * [backup-simplify]: Simplify (/ PI 1) into PI
11.512 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.513 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.513 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.513 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
11.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.517 * [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)))
11.518 * [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))))
11.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
11.518 * [taylor]: Taking taylor expansion of (/ -1 k) in n
11.518 * [taylor]: Taking taylor expansion of -1 in n
11.518 * [backup-simplify]: Simplify -1 into -1
11.518 * [taylor]: Taking taylor expansion of k in n
11.518 * [backup-simplify]: Simplify k into k
11.518 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
11.518 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
11.518 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
11.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
11.520 * [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)))
11.520 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
11.520 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
11.520 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
11.520 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
11.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.520 * [taylor]: Taking taylor expansion of 1/2 in k
11.520 * [backup-simplify]: Simplify 1/2 into 1/2
11.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.520 * [taylor]: Taking taylor expansion of k in k
11.520 * [backup-simplify]: Simplify 0 into 0
11.520 * [backup-simplify]: Simplify 1 into 1
11.521 * [backup-simplify]: Simplify (/ 1 1) into 1
11.521 * [taylor]: Taking taylor expansion of 1/2 in k
11.521 * [backup-simplify]: Simplify 1/2 into 1/2
11.521 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
11.521 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
11.521 * [taylor]: Taking taylor expansion of (* -2 PI) in k
11.521 * [taylor]: Taking taylor expansion of -2 in k
11.521 * [backup-simplify]: Simplify -2 into -2
11.521 * [taylor]: Taking taylor expansion of PI in k
11.521 * [backup-simplify]: Simplify PI into PI
11.522 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
11.523 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
11.523 * [taylor]: Taking taylor expansion of (log n) in k
11.523 * [taylor]: Taking taylor expansion of n in k
11.523 * [backup-simplify]: Simplify n into n
11.523 * [backup-simplify]: Simplify (log n) into (log n)
11.523 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.524 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
11.524 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.525 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
11.526 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
11.527 * [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))))
11.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.528 * [taylor]: Taking taylor expansion of -1 in k
11.528 * [backup-simplify]: Simplify -1 into -1
11.528 * [taylor]: Taking taylor expansion of k in k
11.528 * [backup-simplify]: Simplify 0 into 0
11.528 * [backup-simplify]: Simplify 1 into 1
11.528 * [backup-simplify]: Simplify (/ -1 1) into -1
11.529 * [backup-simplify]: Simplify (sqrt 0) into 0
11.530 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.531 * [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)))))
11.533 * [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)))))
11.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
11.535 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
11.537 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
11.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.538 * [backup-simplify]: Simplify (+ 0 0) into 0
11.539 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.540 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
11.542 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.544 * [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
11.544 * [taylor]: Taking taylor expansion of 0 in k
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 0 into 0
11.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.549 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.551 * [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))))))
11.559 * [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))))))
11.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.562 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
11.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
11.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.568 * [backup-simplify]: Simplify (+ 0 0) into 0
11.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
11.571 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
11.574 * [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
11.574 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
11.576 * [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
11.576 * [taylor]: Taking taylor expansion of 0 in k
11.576 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.587 * [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))))))
11.588 * [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))))))
11.592 * [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)))))))))))
11.593 * * * [progress]: simplifying candidates
11.593 * * * * [progress]: [ 1 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 2 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 3 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 4 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* n (* 2 PI))) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 5 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 6 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 7 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 8 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 9 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.593 * * * * [progress]: [ 10 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 11 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 12 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 13 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 14 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 15 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 16 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) 1/2) (pow (* n (* 2 PI)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 17 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow (* 2 PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 18 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 19 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 20 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (log (exp (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 21 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 22 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 23 / 853 ] 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))))>
11.594 * * * * [progress]: [ 24 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.594 * * * * [progress]: [ 25 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 26 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 27 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 28 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 29 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* n (* 2 PI)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 30 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 31 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (+ (log n) (log (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 32 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (log (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 33 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (log (exp (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 34 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 35 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 36 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 37 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 38 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.595 * * * * [progress]: [ 39 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 40 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 41 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 42 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 43 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 1 (* n (* 2 PI))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 44 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 45 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 46 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 47 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 48 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 49 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 50 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 51 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 52 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 53 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.596 * * * * [progress]: [ 54 / 853 ] 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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 55 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (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))) (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 56 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (/ (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 (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 57 / 853 ] 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))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 58 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (- (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 59 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 60 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 61 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 62 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 63 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 64 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 65 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 66 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 67 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.597 * * * * [progress]: [ 68 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 69 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 70 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 71 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 72 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 73 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 74 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 75 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 76 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 77 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 78 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 79 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 80 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.598 * * * * [progress]: [ 81 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 82 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 83 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 84 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 85 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow n (- 1/2 (/ k 2))) 1) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 86 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 87 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 88 / 853 ] 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 (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 89 / 853 ] 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 (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 90 / 853 ] 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 1))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 91 / 853 ] 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 (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 92 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 93 / 853 ] 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 (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.599 * * * * [progress]: [ 94 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 95 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 96 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 97 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 98 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 99 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 100 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 101 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 102 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 103 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 104 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 105 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 106 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 107 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.600 * * * * [progress]: [ 108 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 109 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 110 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 111 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 112 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 1) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 113 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 114 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 115 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 116 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 117 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 118 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 119 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 120 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 121 / 853 ] 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 (sqrt k)))) (sqrt (sqrt k))))>
11.601 * * * * [progress]: [ 122 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 123 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 124 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 125 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 126 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 127 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 128 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 129 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 130 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 131 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 132 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 133 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 134 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 135 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (sqrt k))))>
11.602 * * * * [progress]: [ 136 / 853 ] 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))))>
11.602 * * * * [progress]: [ 137 / 853 ] 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))))>
11.603 * * * * [progress]: [ 138 / 853 ] 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))))>
11.603 * * * * [progress]: [ 139 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))>
11.603 * * * * [progress]: [ 140 / 853 ] 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))))>
11.603 * * * * [progress]: [ 141 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (* (sqrt (sqrt k)) (pow (* n (* 2 PI)) (/ k 2)))) (sqrt (sqrt k))))>
11.603 * * * * [progress]: [ 142 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))))>
11.603 * * * * [progress]: [ 143 / 853 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1))>
11.603 * * * * [progress]: [ 144 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (+ (log n) (+ (log 2) (log PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 145 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 146 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 147 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 148 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 149 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 150 / 853 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 151 / 853 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.603 * * * * [progress]: [ 152 / 853 ] 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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 153 / 853 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ (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 (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 154 / 853 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 155 / 853 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 156 / 853 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 157 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (- (sqrt (sqrt k)))))>
11.604 * * * * [progress]: [ 158 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 159 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.604 * * * * [progress]: [ 160 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.604 * * * * [progress]: [ 161 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 162 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt 1))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.604 * * * * [progress]: [ 163 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.604 * * * * [progress]: [ 164 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 1)) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.604 * * * * [progress]: [ 165 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (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 (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 166 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1) (/ (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.605 * * * * [progress]: [ 167 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 168 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.605 * * * * [progress]: [ 169 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.605 * * * * [progress]: [ 170 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 171 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.605 * * * * [progress]: [ 172 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 173 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt 1)) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.605 * * * * [progress]: [ 174 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 175 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.605 * * * * [progress]: [ 176 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.605 * * * * [progress]: [ 177 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.605 * * * * [progress]: [ 178 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.606 * * * * [progress]: [ 179 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 180 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 181 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 182 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 183 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 184 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 185 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 186 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.606 * * * * [progress]: [ 187 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.606 * * * * [progress]: [ 188 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 189 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 190 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 191 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 192 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 193 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.606 * * * * [progress]: [ 194 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.606 * * * * [progress]: [ 195 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.606 * * * * [progress]: [ 196 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.606 * * * * [progress]: [ 197 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 198 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 199 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 200 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 201 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 202 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 203 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 204 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.607 * * * * [progress]: [ 205 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.607 * * * * [progress]: [ 206 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 207 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 208 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 209 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 210 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 211 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 212 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 213 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.607 * * * * [progress]: [ 214 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.607 * * * * [progress]: [ 215 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.607 * * * * [progress]: [ 216 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.607 * * * * [progress]: [ 217 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 218 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 219 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 220 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 221 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 222 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.608 * * * * [progress]: [ 223 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.608 * * * * [progress]: [ 224 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 225 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 226 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 227 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 228 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 229 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 230 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 231 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.608 * * * * [progress]: [ 232 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.608 * * * * [progress]: [ 233 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 234 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 235 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.608 * * * * [progress]: [ 236 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.608 * * * * [progress]: [ 237 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 238 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 239 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 240 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.609 * * * * [progress]: [ 241 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.609 * * * * [progress]: [ 242 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 243 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 244 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 245 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 246 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 247 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 248 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 249 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.609 * * * * [progress]: [ 250 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.609 * * * * [progress]: [ 251 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 252 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 253 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 254 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 255 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 256 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.609 * * * * [progress]: [ 257 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.609 * * * * [progress]: [ 258 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.610 * * * * [progress]: [ 259 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.610 * * * * [progress]: [ 260 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 261 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 262 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 263 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 264 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 265 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 266 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 267 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.610 * * * * [progress]: [ 268 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.610 * * * * [progress]: [ 269 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 270 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 271 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 272 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 273 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 274 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.610 * * * * [progress]: [ 275 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.610 * * * * [progress]: [ 276 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.610 * * * * [progress]: [ 277 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.610 * * * * [progress]: [ 278 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 279 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 280 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 281 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 282 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 283 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 284 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 285 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.611 * * * * [progress]: [ 286 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.611 * * * * [progress]: [ 287 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 288 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 289 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 290 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 291 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 292 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 293 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 294 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.611 * * * * [progress]: [ 295 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.611 * * * * [progress]: [ 296 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.611 * * * * [progress]: [ 297 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.611 * * * * [progress]: [ 298 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 299 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 300 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 301 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 302 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 303 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.612 * * * * [progress]: [ 304 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.612 * * * * [progress]: [ 305 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 306 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 307 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 308 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 309 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 310 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 311 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 312 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.612 * * * * [progress]: [ 313 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.612 * * * * [progress]: [ 314 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 315 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 316 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 317 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.612 * * * * [progress]: [ 318 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.612 * * * * [progress]: [ 319 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 320 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 321 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.613 * * * * [progress]: [ 322 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.613 * * * * [progress]: [ 323 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 324 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 325 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 326 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 327 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 328 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 329 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 330 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.613 * * * * [progress]: [ 331 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.613 * * * * [progress]: [ 332 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 333 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 334 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 335 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 336 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 337 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) 1/2) 1) 1) (/ (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.613 * * * * [progress]: [ 338 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.613 * * * * [progress]: [ 339 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.613 * * * * [progress]: [ 340 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.614 * * * * [progress]: [ 341 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 342 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 343 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 344 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 345 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 346 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 347 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 348 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.614 * * * * [progress]: [ 349 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.614 * * * * [progress]: [ 350 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 351 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 352 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 353 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 354 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 355 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.614 * * * * [progress]: [ 356 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 357 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.614 * * * * [progress]: [ 358 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.614 * * * * [progress]: [ 359 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.614 * * * * [progress]: [ 360 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 361 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 362 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 363 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 364 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 365 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 366 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.615 * * * * [progress]: [ 367 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.615 * * * * [progress]: [ 368 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 369 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 370 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 371 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 372 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 373 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 374 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 375 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.615 * * * * [progress]: [ 376 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.615 * * * * [progress]: [ 377 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 378 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.615 * * * * [progress]: [ 379 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.615 * * * * [progress]: [ 380 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 381 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 382 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 383 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 384 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.616 * * * * [progress]: [ 385 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.616 * * * * [progress]: [ 386 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 387 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 388 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 389 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 390 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 391 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 392 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 393 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.616 * * * * [progress]: [ 394 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.616 * * * * [progress]: [ 395 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 396 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 397 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 398 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 399 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.616 * * * * [progress]: [ 400 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.616 * * * * [progress]: [ 401 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 402 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.617 * * * * [progress]: [ 403 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.617 * * * * [progress]: [ 404 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 405 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.617 * * * * [progress]: [ 406 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 407 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.617 * * * * [progress]: [ 408 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 409 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.617 * * * * [progress]: [ 410 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 411 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.617 * * * * [progress]: [ 412 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.617 * * * * [progress]: [ 413 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 414 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (sqrt 1))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.617 * * * * [progress]: [ 415 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 416 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt 1)) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.617 * * * * [progress]: [ 417 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.617 * * * * [progress]: [ 418 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) 1) 1) (/ (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 419 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 420 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.618 * * * * [progress]: [ 421 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.618 * * * * [progress]: [ 422 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 423 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 424 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 425 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 426 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 427 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 428 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 429 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.618 * * * * [progress]: [ 430 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.618 * * * * [progress]: [ 431 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 432 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 433 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 434 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 435 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.618 * * * * [progress]: [ 436 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.618 * * * * [progress]: [ 437 / 853 ] 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 (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 438 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.619 * * * * [progress]: [ 439 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.619 * * * * [progress]: [ 440 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 441 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 442 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 443 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 444 / 853 ] 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 (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 445 / 853 ] 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 (* (cbrt k) (cbrt k))))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 446 / 853 ] 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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 447 / 853 ] 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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.619 * * * * [progress]: [ 448 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.619 * * * * [progress]: [ 449 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 450 / 853 ] 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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 451 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 452 / 853 ] 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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 453 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 454 / 853 ] 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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.619 * * * * [progress]: [ 455 / 853 ] 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 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.619 * * * * [progress]: [ 456 / 853 ] 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 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.620 * * * * [progress]: [ 457 / 853 ] 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 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.620 * * * * [progress]: [ 458 / 853 ] 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 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 459 / 853 ] 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 1))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 460 / 853 ] 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 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 461 / 853 ] 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 1))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 462 / 853 ] 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 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 463 / 853 ] 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 1))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 464 / 853 ] 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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 465 / 853 ] 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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.620 * * * * [progress]: [ 466 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.620 * * * * [progress]: [ 467 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 468 / 853 ] 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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 469 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 470 / 853 ] 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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 471 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 472 / 853 ] 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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.620 * * * * [progress]: [ 473 / 853 ] 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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.620 * * * * [progress]: [ 474 / 853 ] 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)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.620 * * * * [progress]: [ 475 / 853 ] 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)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.620 * * * * [progress]: [ 476 / 853 ] 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)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 477 / 853 ] 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)) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 478 / 853 ] 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)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 479 / 853 ] 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)) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 480 / 853 ] 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)) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 481 / 853 ] 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)) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 482 / 853 ] 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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 483 / 853 ] 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 (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.621 * * * * [progress]: [ 484 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.621 * * * * [progress]: [ 485 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 486 / 853 ] 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 (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 487 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 488 / 853 ] 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 (sqrt k)))) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 489 / 853 ] 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 (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 490 / 853 ] 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 (sqrt k)))) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 491 / 853 ] 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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 492 / 853 ] 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) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.621 * * * * [progress]: [ 493 / 853 ] 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) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.621 * * * * [progress]: [ 494 / 853 ] 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) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.621 * * * * [progress]: [ 495 / 853 ] 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) (sqrt (sqrt 1))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.621 * * * * [progress]: [ 496 / 853 ] 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) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 497 / 853 ] 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) (sqrt 1)) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 498 / 853 ] 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) (sqrt (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 499 / 853 ] 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) 1) (/ (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 500 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 501 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.622 * * * * [progress]: [ 502 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.622 * * * * [progress]: [ 503 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 504 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 505 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 506 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 507 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 508 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 509 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 510 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.622 * * * * [progress]: [ 511 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.622 * * * * [progress]: [ 512 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 513 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.622 * * * * [progress]: [ 514 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.622 * * * * [progress]: [ 515 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 516 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 517 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 518 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 519 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.623 * * * * [progress]: [ 520 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.623 * * * * [progress]: [ 521 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 522 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 523 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 524 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 525 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 526 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 527 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 528 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.623 * * * * [progress]: [ 529 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.623 * * * * [progress]: [ 530 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 531 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 532 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 533 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.623 * * * * [progress]: [ 534 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.623 * * * * [progress]: [ 535 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 536 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 537 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.624 * * * * [progress]: [ 538 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.624 * * * * [progress]: [ 539 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 540 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 541 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 542 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 543 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 544 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 545 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 546 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.624 * * * * [progress]: [ 547 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.624 * * * * [progress]: [ 548 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 549 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 550 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 551 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 552 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 553 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.624 * * * * [progress]: [ 554 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.624 * * * * [progress]: [ 555 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.625 * * * * [progress]: [ 556 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.625 * * * * [progress]: [ 557 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 558 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 559 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 560 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 561 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 562 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 563 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 564 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.625 * * * * [progress]: [ 565 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.625 * * * * [progress]: [ 566 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 567 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 568 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 569 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 570 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 571 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.625 * * * * [progress]: [ 572 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 573 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.625 * * * * [progress]: [ 574 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.625 * * * * [progress]: [ 575 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.625 * * * * [progress]: [ 576 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt 1))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 577 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 578 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt 1)) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 579 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 580 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) 1) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 581 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 582 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.626 * * * * [progress]: [ 583 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.626 * * * * [progress]: [ 584 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 585 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 586 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 587 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 588 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 589 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 590 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 591 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.626 * * * * [progress]: [ 592 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.626 * * * * [progress]: [ 593 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 594 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.626 * * * * [progress]: [ 595 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.626 * * * * [progress]: [ 596 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 597 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 598 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 599 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 600 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.627 * * * * [progress]: [ 601 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.627 * * * * [progress]: [ 602 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 603 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 604 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 605 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 606 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 607 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 608 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 609 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.627 * * * * [progress]: [ 610 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.627 * * * * [progress]: [ 611 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 612 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 613 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 614 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 615 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.627 * * * * [progress]: [ 616 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.627 * * * * [progress]: [ 617 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 618 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.628 * * * * [progress]: [ 619 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.628 * * * * [progress]: [ 620 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 621 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 622 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 623 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 624 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 625 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt 1))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 626 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 627 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.628 * * * * [progress]: [ 628 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.628 * * * * [progress]: [ 629 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 630 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 631 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 632 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 633 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 634 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.628 * * * * [progress]: [ 635 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.628 * * * * [progress]: [ 636 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.628 * * * * [progress]: [ 637 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.628 * * * * [progress]: [ 638 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 639 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 640 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 641 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 642 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 643 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt 1)) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 644 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 645 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.629 * * * * [progress]: [ 646 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.629 * * * * [progress]: [ 647 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 648 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 649 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 650 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 651 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 652 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 653 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 654 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.629 * * * * [progress]: [ 655 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.629 * * * * [progress]: [ 656 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 657 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 658 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.629 * * * * [progress]: [ 659 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.629 * * * * [progress]: [ 660 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 661 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 662 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 663 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.630 * * * * [progress]: [ 664 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.630 * * * * [progress]: [ 665 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 666 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 667 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 668 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 669 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 670 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 671 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 672 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.630 * * * * [progress]: [ 673 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.630 * * * * [progress]: [ 674 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 675 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 676 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 677 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 678 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 679 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))))>
11.630 * * * * [progress]: [ 680 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k))))))>
11.630 * * * * [progress]: [ 681 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k))))))>
11.631 * * * * [progress]: [ 682 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k))))))>
11.631 * * * * [progress]: [ 683 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 684 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 685 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 686 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 687 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 688 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 689 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 690 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.631 * * * * [progress]: [ 691 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.631 * * * * [progress]: [ 692 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 693 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 694 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 695 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 696 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 697 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.631 * * * * [progress]: [ 698 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.631 * * * * [progress]: [ 699 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.631 * * * * [progress]: [ 700 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.632 * * * * [progress]: [ 701 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 702 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 703 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 704 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 705 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 706 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 707 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 708 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.632 * * * * [progress]: [ 709 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.632 * * * * [progress]: [ 710 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 711 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 712 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 713 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 714 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 715 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.632 * * * * [progress]: [ 716 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 717 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.632 * * * * [progress]: [ 718 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.632 * * * * [progress]: [ 719 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.632 * * * * [progress]: [ 720 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 721 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 722 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 723 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 724 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 725 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 726 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k))))))>
11.633 * * * * [progress]: [ 727 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))))>
11.633 * * * * [progress]: [ 728 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 729 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 730 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 731 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 732 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 733 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 734 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 735 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.633 * * * * [progress]: [ 736 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.633 * * * * [progress]: [ 737 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 738 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 739 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.633 * * * * [progress]: [ 740 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.633 * * * * [progress]: [ 741 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 742 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) 1) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.634 * * * * [progress]: [ 743 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 744 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.634 * * * * [progress]: [ 745 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.634 * * * * [progress]: [ 746 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 747 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt 1))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.634 * * * * [progress]: [ 748 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 749 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.634 * * * * [progress]: [ 750 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 751 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.634 * * * * [progress]: [ 752 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))>
11.634 * * * * [progress]: [ 753 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))>
11.634 * * * * [progress]: [ 754 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))))>
11.634 * * * * [progress]: [ 755 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.635 * * * * [progress]: [ 756 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 757 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.635 * * * * [progress]: [ 758 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1)) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 759 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))>
11.635 * * * * [progress]: [ 760 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 761 / 853 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 762 / 853 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 763 / 853 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.635 * * * * [progress]: [ 764 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 765 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))))>
11.635 * * * * [progress]: [ 766 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (sqrt (sqrt (cbrt k)))))>
11.635 * * * * [progress]: [ 767 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))>
11.635 * * * * [progress]: [ 768 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt 1))) (sqrt (sqrt k))))>
11.635 * * * * [progress]: [ 769 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))>
11.636 * * * * [progress]: [ 770 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt 1)) (sqrt (sqrt k))))>
11.636 * * * * [progress]: [ 771 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))>
11.636 * * * * [progress]: [ 772 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1) (sqrt (sqrt k))))>
11.636 * * * * [progress]: [ 773 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (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 (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 774 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 775 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 776 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 777 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))))))>
11.636 * * * * [progress]: [ 778 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 779 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.636 * * * * [progress]: [ 780 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.636 * * * * [progress]: [ 781 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.636 * * * * [progress]: [ 782 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 783 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.637 * * * * [progress]: [ 784 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 785 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 786 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))))))>
11.637 * * * * [progress]: [ 787 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 788 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.637 * * * * [progress]: [ 789 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 790 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1)) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.637 * * * * [progress]: [ 791 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 792 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) 1/2) 1) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))))>
11.637 * * * * [progress]: [ 793 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))>
11.637 * * * * [progress]: [ 794 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))>
11.638 * * * * [progress]: [ 795 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))))))>
11.638 * * * * [progress]: [ 796 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.638 * * * * [progress]: [ 797 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.638 * * * * [progress]: [ 798 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.638 * * * * [progress]: [ 799 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt 1)) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.638 * * * * [progress]: [ 800 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.638 * * * * [progress]: [ 801 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow n (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.638 * * * * [progress]: [ 802 / 853 ] 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))))>
11.638 * * * * [progress]: [ 803 / 853 ] 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 (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 804 / 853 ] 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 (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))))))>
11.639 * * * * [progress]: [ 805 / 853 ] 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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 806 / 853 ] 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 1))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.639 * * * * [progress]: [ 807 / 853 ] 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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 808 / 853 ] 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)) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.639 * * * * [progress]: [ 809 / 853 ] 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 (sqrt k)))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 810 / 853 ] 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) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.639 * * * * [progress]: [ 811 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 812 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))))))>
11.639 * * * * [progress]: [ 813 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))))))>
11.639 * * * * [progress]: [ 814 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 815 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.640 * * * * [progress]: [ 816 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 817 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.640 * * * * [progress]: [ 818 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 819 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
11.640 * * * * [progress]: [ 820 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 821 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 822 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))))))>
11.640 * * * * [progress]: [ 823 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.640 * * * * [progress]: [ 824 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.641 * * * * [progress]: [ 825 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 826 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.641 * * * * [progress]: [ 827 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 828 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.641 * * * * [progress]: [ 829 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 830 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 831 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))))))>
11.641 * * * * [progress]: [ 832 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 833 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt 1))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
11.641 * * * * [progress]: [ 834 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 835 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
11.641 * * * * [progress]: [ 836 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))))>
11.641 * * * * [progress]: [ 837 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
11.642 * * * * [progress]: [ 838 / 853 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
11.642 * * * * [progress]: [ 839 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k))))))>
11.642 * * * * [progress]: [ 840 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))>
11.642 * * * * [progress]: [ 841 / 853 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))))>
11.642 * * * * [progress]: [ 842 / 853 ] 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 (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 843 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 844 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 845 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 846 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 847 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 848 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 849 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) (sqrt (sqrt k))))>
11.642 * * * * [progress]: [ 850 / 853 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) (sqrt (sqrt k))))>
11.643 * * * * [progress]: [ 851 / 853 ] 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)))))))))))))))))))))))>
11.643 * * * * [progress]: [ 852 / 853 ] 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)))))))))>
11.643 * * * * [progress]: [ 853 / 853 ] 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))))))))))))>
11.670 * [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 (sqrt k))))
  (- (* (+ (log n) (log (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (log (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k))))
  (log (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (exp (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))
  (* (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))) (sqrt (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 (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))))
  (- (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
  (- (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt 1)))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) 1/2) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) 1/2) 1)
  (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt 1)))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (pow n (- 1/2 (/ k 2))) 1)
  (/ (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))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k))))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt 1)))
  (/ (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 (sqrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (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 (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (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 (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
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  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt 1))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) 1)
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt 1)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt 1))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) 1) 1)
  (/ (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))
  (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))
  (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))
  (/ 1 (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ 1 (sqrt (sqrt 1)))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ 1 (sqrt 1))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ 1 1)
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt 1)))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) 1)
  (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt 1)))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt 1))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))
  (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1)
  (/ (sqrt (sqrt k)) (cbrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (sqrt (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k))))
  (* (sqrt (sqrt k)) (sqrt (sqrt k)))
  (real->posit16 (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (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))
  (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4)))))
  (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4))
  (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2)))))))))
  (- (+ (* +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)))))))))))
11.728 * * [simplify]: iteration 1: (865 enodes)
12.279 * * [simplify]: Extracting #0: cost 428 inf + 0
12.283 * * [simplify]: Extracting #1: cost 655 inf + 1
12.289 * * [simplify]: Extracting #2: cost 702 inf + 3839
12.295 * * [simplify]: Extracting #3: cost 692 inf + 18655
12.310 * * [simplify]: Extracting #4: cost 520 inf + 114043
12.336 * * [simplify]: Extracting #5: cost 297 inf + 241291
12.384 * * [simplify]: Extracting #6: cost 155 inf + 333396
12.430 * * [simplify]: Extracting #7: cost 61 inf + 396402
12.479 * * [simplify]: Extracting #8: cost 31 inf + 425744
12.547 * * [simplify]: Extracting #9: cost 29 inf + 429214
12.616 * * [simplify]: Extracting #10: cost 32 inf + 430464
12.681 * * [simplify]: Extracting #11: cost 28 inf + 432874
12.736 * * [simplify]: Extracting #12: cost 24 inf + 435477
12.794 * * [simplify]: Extracting #13: cost 16 inf + 443765
12.883 * * [simplify]: Extracting #14: cost 12 inf + 448749
12.995 * * [simplify]: Extracting #15: cost 2 inf + 464049
13.056 * * [simplify]: Extracting #16: cost 0 inf + 467381
13.188 * [simplify]: Simplified to:
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* n 2) PI))
  (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))))
  (* (* n 2) PI)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* n 2) PI)
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (- (/ k 2)))
  (sqrt (* (* n 2) PI))
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow (* PI 2) (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
  (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 2) PI))
  (log (* (* n 2) PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* n (* n n)) (* 8 (* PI (* PI PI))))
  (* (* n (* n n)) (* (* PI 2) (* (* PI 2) (* PI 2))))
  (* (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) (* PI 2))
  (* (* n 2) PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt (sqrt k))))
  (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt (sqrt k))))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (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 (sqrt k)) (sqrt k)))
  (* (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))) (sqrt (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 (sqrt k)))))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
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  (/ 1 (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ 1 (sqrt k))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))
  (/ 1 (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))))
  (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
  (/ 1 (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
  (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (cbrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (cbrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (cbrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* PI 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (cbrt k))))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (sqrt (sqrt k)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (cbrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (cbrt k))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (cbrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (cbrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt (sqrt k)))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt (cbrt k)))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k))))
  (sqrt k)
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (+ (* (* 1/8 (exp (* (log (* (* n 2) PI)) 1/2))) (* (* k k) (* (log n) (log n)))) (+ (exp (* (log (* (* n 2) PI)) 1/2)) (* 1/8 (* (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2))) (* (log (* PI 2)) (log (* PI 2))))))) (* (* 1/4 (log (* PI 2))) (* (* (log n) (* k k)) (exp (* (log (* (* n 2) PI)) 1/2))))) (* 1/2 (+ (* (* (log n) k) (exp (* (log (* (* n 2) PI)) 1/2))) (* (* (exp (* (log (* (* n 2) PI)) 1/2)) k) (log (* PI 2))))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n)))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (* (* n 2) PI)
  (- (+ (* (pow (/ 1 k) 1/4) (exp (* (log (* (* n 2) PI)) 1/2))) (+ (+ (* (* 1/8 (* (exp (* (log (* (* n 2) PI)) 1/2)) (* (log n) (log n)))) (pow (pow k 7) 1/4)) (* (* 1/4 (* (* (exp (* (log (* (* n 2) PI)) 1/2)) (log (* PI 2))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* (log (* (* n 2) PI)) 1/2))) (pow (pow k 7) 1/4))))) (* 1/2 (+ (* (pow (* (* k k) k) 1/4) (* (exp (* (log (* (* n 2) PI)) 1/2)) (log (* PI 2)))) (* (exp (* (log (* (* n 2) PI)) 1/2)) (* (log n) (pow (* (* k k) k) 1/4))))))
  (* (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))) (pow (/ 1 k) 1/4))
  (- (* (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt +nan.0)) (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k (sqrt +nan.0))) (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* (* k k) (* (sqrt +nan.0) (* (sqrt +nan.0) (sqrt +nan.0))))) (* +nan.0 (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (* k k) (sqrt +nan.0)))))))
  (- (- (* (* +nan.0 (log (* PI 2))) (* (* (log n) (* k k)) (exp (* (log (* (* n 2) PI)) 1/2)))) (- (* (* +nan.0 (log (* PI 2))) (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2)))) (- (* (* +nan.0 (exp (* (log (* (* n 2) PI)) 1/2))) (* (* k k) (* (log n) (log n)))) (- (* +nan.0 (* (exp (* (log (* (* n 2) PI)) 1/2)) k)) (- (* +nan.0 (exp (* (log (* (* n 2) PI)) 1/2))) (- (* (* (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2))) (* (log (* PI 2)) (log (* PI 2)))) +nan.0) (- (* +nan.0 (* (* (log n) (* k k)) (exp (* (log (* (* n 2) PI)) 1/2)))) (- (* (* (* k k) (exp (* (log (* (* n 2) PI)) 1/2))) +nan.0) (- (* +nan.0 (* (* (exp (* (log (* (* n 2) PI)) 1/2)) k) (log (* PI 2)))) (* (* (* (log n) k) (exp (* (log (* (* n 2) PI)) 1/2))) +nan.0)))))))))))
  (- (- (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))) (* (* k k) k)) +nan.0) (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n)))))) k) (* +nan.0 (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI 2)) (- (log n))))) (* k k))))))
  (- (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))) k) (- (/ (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))) (* k k)) (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))))))
13.331 * * * [progress]: adding candidates to table
16.786 * [progress]: [Phase 3 of 3] Extracting.
16.786 * * [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) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
16.787 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2 PI) n) n k)
16.787 * * * * [regimes]: Trying to branch on (* (* 2 PI) 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) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
16.858 * * * * [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) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
16.913 * * * * [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) (/ (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow (* 2 PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (sqrt (* (* n 2) PI)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>)
16.954 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
16.955 * [simplify]: Simplifying:
  (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
16.955 * * [simplify]: iteration 1: (13 enodes)
16.956 * * [simplify]: iteration 2: (16 enodes)
16.957 * * [simplify]: Extracting #0: cost 1 inf + 0
16.957 * * [simplify]: Extracting #1: cost 3 inf + 0
16.957 * * [simplify]: Extracting #2: cost 7 inf + 0
16.957 * * [simplify]: Extracting #3: cost 9 inf + 2
16.957 * * [simplify]: Extracting #4: cost 8 inf + 216
16.957 * * [simplify]: Extracting #5: cost 3 inf + 385
16.957 * * [simplify]: Extracting #6: cost 1 inf + 843
16.958 * * [simplify]: Extracting #7: cost 0 inf + 1469
16.958 * [simplify]: Simplified to:
  (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2))
25.527 * [regime-testing]: Baseline error score: 0.35231662348761145
25.529 * [regime-testing]: Oracle error score: 0.03721461432751209
25.537 * [regime-testing]: End program error score: 0.35231662348761145