50.444 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.185 * * * [progress]: [2/2] Setting up program.
0.188 * [progress]: [Phase 2 of 3] Improving.
0.188 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.188 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.188 * * [simplify]: iteration 0: 13 enodes
0.192 * * [simplify]: iteration 1: 31 enodes
0.198 * * [simplify]: iteration 2: 62 enodes
0.218 * * [simplify]: iteration 3: 124 enodes
0.296 * * [simplify]: iteration 4: 327 enodes
0.528 * * [simplify]: iteration 5: 929 enodes
0.911 * * [simplify]: iteration 6: 2011 enodes
1.417 * * [simplify]: iteration complete: 2011 enodes
1.417 * * [simplify]: Extracting #0: cost 1 inf + 0
1.418 * * [simplify]: Extracting #1: cost 89 inf + 0
1.419 * * [simplify]: Extracting #2: cost 322 inf + 1
1.422 * * [simplify]: Extracting #3: cost 468 inf + 46
1.426 * * [simplify]: Extracting #4: cost 453 inf + 3452
1.436 * * [simplify]: Extracting #5: cost 339 inf + 22215
1.466 * * [simplify]: Extracting #6: cost 152 inf + 141923
1.538 * * [simplify]: Extracting #7: cost 5 inf + 283438
1.615 * * [simplify]: Extracting #8: cost 0 inf + 285235
1.669 * * [simplify]: Extracting #9: cost 0 inf + 284972
1.734 * * [simplify]: Extracting #10: cost 0 inf + 284459
1.814 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1.821 * * [progress]: iteration 1 / 4
1.821 * * * [progress]: picking best candidate
1.827 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1.827 * * * [progress]: localizing error
1.858 * * * [progress]: generating rewritten candidates
1.858 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.879 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.894 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.924 * * * [progress]: generating series expansions
1.924 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1.924 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1.924 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1.924 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1.924 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1.924 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1.924 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.924 * [taylor]: Taking taylor expansion of 1/2 in k
1.924 * [backup-simplify]: Simplify 1/2 into 1/2
1.924 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.924 * [taylor]: Taking taylor expansion of 1/2 in k
1.924 * [backup-simplify]: Simplify 1/2 into 1/2
1.924 * [taylor]: Taking taylor expansion of k in k
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1.924 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1.924 * [taylor]: Taking taylor expansion of 2 in k
1.924 * [backup-simplify]: Simplify 2 into 2
1.924 * [taylor]: Taking taylor expansion of (* n PI) in k
1.924 * [taylor]: Taking taylor expansion of n in k
1.924 * [backup-simplify]: Simplify n into n
1.925 * [taylor]: Taking taylor expansion of PI in k
1.925 * [backup-simplify]: Simplify PI into PI
1.925 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1.925 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1.925 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1.926 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.926 * [backup-simplify]: Simplify (- 0) into 0
1.927 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.927 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1.927 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1.927 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.927 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.927 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.927 * [taylor]: Taking taylor expansion of 1/2 in n
1.927 * [backup-simplify]: Simplify 1/2 into 1/2
1.927 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.927 * [taylor]: Taking taylor expansion of 1/2 in n
1.927 * [backup-simplify]: Simplify 1/2 into 1/2
1.927 * [taylor]: Taking taylor expansion of k in n
1.927 * [backup-simplify]: Simplify k into k
1.927 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.927 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.927 * [taylor]: Taking taylor expansion of 2 in n
1.927 * [backup-simplify]: Simplify 2 into 2
1.927 * [taylor]: Taking taylor expansion of (* n PI) in n
1.927 * [taylor]: Taking taylor expansion of n in n
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [taylor]: Taking taylor expansion of PI in n
1.927 * [backup-simplify]: Simplify PI into PI
1.928 * [backup-simplify]: Simplify (* 0 PI) into 0
1.928 * [backup-simplify]: Simplify (* 2 0) into 0
1.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.932 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.933 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.933 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.933 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.934 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.935 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.937 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.937 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1.937 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1.937 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1.937 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1.937 * [taylor]: Taking taylor expansion of 1/2 in n
1.937 * [backup-simplify]: Simplify 1/2 into 1/2
1.937 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1.937 * [taylor]: Taking taylor expansion of 1/2 in n
1.937 * [backup-simplify]: Simplify 1/2 into 1/2
1.937 * [taylor]: Taking taylor expansion of k in n
1.937 * [backup-simplify]: Simplify k into k
1.937 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1.937 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1.937 * [taylor]: Taking taylor expansion of 2 in n
1.937 * [backup-simplify]: Simplify 2 into 2
1.937 * [taylor]: Taking taylor expansion of (* n PI) in n
1.937 * [taylor]: Taking taylor expansion of n in n
1.937 * [backup-simplify]: Simplify 0 into 0
1.937 * [backup-simplify]: Simplify 1 into 1
1.937 * [taylor]: Taking taylor expansion of PI in n
1.937 * [backup-simplify]: Simplify PI into PI
1.938 * [backup-simplify]: Simplify (* 0 PI) into 0
1.938 * [backup-simplify]: Simplify (* 2 0) into 0
1.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1.941 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1.942 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.942 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1.942 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1.942 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1.944 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.945 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1.946 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
1.946 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1.946 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1.946 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1.946 * [taylor]: Taking taylor expansion of 1/2 in k
1.947 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1.947 * [taylor]: Taking taylor expansion of 1/2 in k
1.947 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of k in k
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1.947 * [taylor]: Taking taylor expansion of (log n) in k
1.947 * [taylor]: Taking taylor expansion of n in k
1.947 * [backup-simplify]: Simplify n into n
1.947 * [backup-simplify]: Simplify (log n) into (log n)
1.947 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1.947 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1.947 * [taylor]: Taking taylor expansion of 2 in k
1.947 * [backup-simplify]: Simplify 2 into 2
1.947 * [taylor]: Taking taylor expansion of PI in k
1.947 * [backup-simplify]: Simplify PI into PI
1.947 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1.948 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1.949 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.949 * [backup-simplify]: Simplify (- 0) into 0
1.950 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1.951 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.952 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1.953 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.954 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1.958 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1.959 * [backup-simplify]: Simplify (- 0) into 0
1.959 * [backup-simplify]: Simplify (+ 0 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.962 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1.964 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1.964 * [taylor]: Taking taylor expansion of 0 in k
1.964 * [backup-simplify]: Simplify 0 into 0
1.964 * [backup-simplify]: Simplify 0 into 0
1.965 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1.966 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1.968 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.969 * [backup-simplify]: Simplify (- 1/2) into -1/2
1.970 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1.975 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.977 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1.981 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1.981 * [backup-simplify]: Simplify (- 0) into 0
1.982 * [backup-simplify]: Simplify (+ 0 0) into 0
1.983 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1.983 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.985 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1.985 * [taylor]: Taking taylor expansion of 0 in k
1.985 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1.987 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1.989 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1.989 * [backup-simplify]: Simplify (+ 0 0) into 0
1.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.990 * [backup-simplify]: Simplify (- 0) into 0
1.990 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1.994 * [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)))))
1.997 * [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)))))
2.003 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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)))))
2.003 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.003 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.003 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.003 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.003 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.003 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.003 * [taylor]: Taking taylor expansion of 1/2 in k
2.003 * [backup-simplify]: Simplify 1/2 into 1/2
2.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.003 * [taylor]: Taking taylor expansion of 1/2 in k
2.003 * [backup-simplify]: Simplify 1/2 into 1/2
2.003 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.003 * [taylor]: Taking taylor expansion of k in k
2.003 * [backup-simplify]: Simplify 0 into 0
2.003 * [backup-simplify]: Simplify 1 into 1
2.003 * [backup-simplify]: Simplify (/ 1 1) into 1
2.003 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.003 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.004 * [taylor]: Taking taylor expansion of 2 in k
2.004 * [backup-simplify]: Simplify 2 into 2
2.004 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.004 * [taylor]: Taking taylor expansion of PI in k
2.004 * [backup-simplify]: Simplify PI into PI
2.004 * [taylor]: Taking taylor expansion of n in k
2.004 * [backup-simplify]: Simplify n into n
2.004 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.004 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.004 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.004 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.004 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.005 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.005 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.005 * [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))))
2.005 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.005 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.005 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.005 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.005 * [taylor]: Taking taylor expansion of 1/2 in n
2.005 * [backup-simplify]: Simplify 1/2 into 1/2
2.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.005 * [taylor]: Taking taylor expansion of 1/2 in n
2.005 * [backup-simplify]: Simplify 1/2 into 1/2
2.005 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.005 * [taylor]: Taking taylor expansion of k in n
2.005 * [backup-simplify]: Simplify k into k
2.005 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.005 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.005 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.005 * [taylor]: Taking taylor expansion of 2 in n
2.005 * [backup-simplify]: Simplify 2 into 2
2.005 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.005 * [taylor]: Taking taylor expansion of PI in n
2.005 * [backup-simplify]: Simplify PI into PI
2.005 * [taylor]: Taking taylor expansion of n in n
2.005 * [backup-simplify]: Simplify 0 into 0
2.005 * [backup-simplify]: Simplify 1 into 1
2.005 * [backup-simplify]: Simplify (/ PI 1) into PI
2.006 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.006 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.006 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.007 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.008 * [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)))
2.009 * [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))))
2.009 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.009 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.009 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.009 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.009 * [taylor]: Taking taylor expansion of 1/2 in n
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.009 * [taylor]: Taking taylor expansion of 1/2 in n
2.009 * [backup-simplify]: Simplify 1/2 into 1/2
2.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.010 * [taylor]: Taking taylor expansion of k in n
2.010 * [backup-simplify]: Simplify k into k
2.010 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.010 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.010 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.010 * [taylor]: Taking taylor expansion of 2 in n
2.010 * [backup-simplify]: Simplify 2 into 2
2.010 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.010 * [taylor]: Taking taylor expansion of PI in n
2.010 * [backup-simplify]: Simplify PI into PI
2.010 * [taylor]: Taking taylor expansion of n in n
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [backup-simplify]: Simplify 1 into 1
2.010 * [backup-simplify]: Simplify (/ PI 1) into PI
2.011 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.012 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.012 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.012 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.012 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.019 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.020 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.021 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.021 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.021 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.021 * [taylor]: Taking taylor expansion of 1/2 in k
2.021 * [backup-simplify]: Simplify 1/2 into 1/2
2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.021 * [taylor]: Taking taylor expansion of 1/2 in k
2.021 * [backup-simplify]: Simplify 1/2 into 1/2
2.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.021 * [taylor]: Taking taylor expansion of k in k
2.021 * [backup-simplify]: Simplify 0 into 0
2.021 * [backup-simplify]: Simplify 1 into 1
2.021 * [backup-simplify]: Simplify (/ 1 1) into 1
2.021 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.021 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.021 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.021 * [taylor]: Taking taylor expansion of 2 in k
2.021 * [backup-simplify]: Simplify 2 into 2
2.021 * [taylor]: Taking taylor expansion of PI in k
2.021 * [backup-simplify]: Simplify PI into PI
2.022 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.023 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.023 * [taylor]: Taking taylor expansion of (log n) in k
2.023 * [taylor]: Taking taylor expansion of n in k
2.023 * [backup-simplify]: Simplify n into n
2.023 * [backup-simplify]: Simplify (log n) into (log n)
2.023 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.024 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.024 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.024 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.025 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.027 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.028 * [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))))
2.029 * [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))))
2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.031 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.033 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.034 * [backup-simplify]: Simplify (- 0) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.036 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.037 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.039 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.039 * [taylor]: Taking taylor expansion of 0 in k
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.039 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.045 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
2.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.046 * [backup-simplify]: Simplify (- 0) into 0
2.047 * [backup-simplify]: Simplify (+ 0 0) into 0
2.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.050 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.052 * [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
2.052 * [taylor]: Taking taylor expansion of 0 in k
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.055 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.061 * [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
2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.063 * [backup-simplify]: Simplify (- 0) into 0
2.063 * [backup-simplify]: Simplify (+ 0 0) into 0
2.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.066 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.067 * [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
2.067 * [taylor]: Taking taylor expansion of 0 in k
2.067 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [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)))))
2.069 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.069 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.069 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.069 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.069 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.069 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.069 * [taylor]: Taking taylor expansion of 1/2 in k
2.069 * [backup-simplify]: Simplify 1/2 into 1/2
2.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.069 * [taylor]: Taking taylor expansion of k in k
2.069 * [backup-simplify]: Simplify 0 into 0
2.069 * [backup-simplify]: Simplify 1 into 1
2.069 * [backup-simplify]: Simplify (/ 1 1) into 1
2.069 * [taylor]: Taking taylor expansion of 1/2 in k
2.069 * [backup-simplify]: Simplify 1/2 into 1/2
2.069 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.069 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.069 * [taylor]: Taking taylor expansion of -2 in k
2.069 * [backup-simplify]: Simplify -2 into -2
2.069 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.069 * [taylor]: Taking taylor expansion of PI in k
2.069 * [backup-simplify]: Simplify PI into PI
2.069 * [taylor]: Taking taylor expansion of n in k
2.069 * [backup-simplify]: Simplify n into n
2.069 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.069 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.069 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.070 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.070 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.070 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.070 * [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)))
2.070 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.070 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.070 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.070 * [taylor]: Taking taylor expansion of 1/2 in n
2.070 * [backup-simplify]: Simplify 1/2 into 1/2
2.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.070 * [taylor]: Taking taylor expansion of k in n
2.070 * [backup-simplify]: Simplify k into k
2.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.070 * [taylor]: Taking taylor expansion of 1/2 in n
2.070 * [backup-simplify]: Simplify 1/2 into 1/2
2.070 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.070 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.070 * [taylor]: Taking taylor expansion of -2 in n
2.070 * [backup-simplify]: Simplify -2 into -2
2.070 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.070 * [taylor]: Taking taylor expansion of PI in n
2.070 * [backup-simplify]: Simplify PI into PI
2.070 * [taylor]: Taking taylor expansion of n in n
2.070 * [backup-simplify]: Simplify 0 into 0
2.070 * [backup-simplify]: Simplify 1 into 1
2.071 * [backup-simplify]: Simplify (/ PI 1) into PI
2.071 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.072 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.072 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.072 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.073 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.074 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.074 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.074 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.074 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.074 * [taylor]: Taking taylor expansion of 1/2 in n
2.074 * [backup-simplify]: Simplify 1/2 into 1/2
2.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.074 * [taylor]: Taking taylor expansion of k in n
2.074 * [backup-simplify]: Simplify k into k
2.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.075 * [taylor]: Taking taylor expansion of 1/2 in n
2.075 * [backup-simplify]: Simplify 1/2 into 1/2
2.075 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.075 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.075 * [taylor]: Taking taylor expansion of -2 in n
2.075 * [backup-simplify]: Simplify -2 into -2
2.075 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.075 * [taylor]: Taking taylor expansion of PI in n
2.075 * [backup-simplify]: Simplify PI into PI
2.075 * [taylor]: Taking taylor expansion of n in n
2.075 * [backup-simplify]: Simplify 0 into 0
2.075 * [backup-simplify]: Simplify 1 into 1
2.075 * [backup-simplify]: Simplify (/ PI 1) into PI
2.075 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.076 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.076 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.076 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.077 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.078 * [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)))
2.079 * [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))))
2.079 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.079 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.079 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.079 * [taylor]: Taking taylor expansion of 1/2 in k
2.079 * [backup-simplify]: Simplify 1/2 into 1/2
2.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.079 * [taylor]: Taking taylor expansion of k in k
2.079 * [backup-simplify]: Simplify 0 into 0
2.079 * [backup-simplify]: Simplify 1 into 1
2.079 * [backup-simplify]: Simplify (/ 1 1) into 1
2.079 * [taylor]: Taking taylor expansion of 1/2 in k
2.079 * [backup-simplify]: Simplify 1/2 into 1/2
2.079 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.079 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.079 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.079 * [taylor]: Taking taylor expansion of -2 in k
2.079 * [backup-simplify]: Simplify -2 into -2
2.079 * [taylor]: Taking taylor expansion of PI in k
2.079 * [backup-simplify]: Simplify PI into PI
2.080 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.080 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.080 * [taylor]: Taking taylor expansion of (log n) in k
2.080 * [taylor]: Taking taylor expansion of n in k
2.080 * [backup-simplify]: Simplify n into n
2.080 * [backup-simplify]: Simplify (log n) into (log n)
2.081 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.081 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.081 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.081 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.082 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.083 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.084 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.085 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.086 * [backup-simplify]: Simplify (+ 0 0) into 0
2.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.088 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.089 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.089 * [taylor]: Taking taylor expansion of 0 in k
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.090 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.092 * [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
2.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.093 * [backup-simplify]: Simplify (+ 0 0) into 0
2.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.095 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.097 * [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
2.097 * [taylor]: Taking taylor expansion of 0 in k
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify 0 into 0
2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.098 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.102 * [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
2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.108 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.110 * [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
2.110 * [taylor]: Taking taylor expansion of 0 in k
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 0 into 0
2.112 * [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)))))
2.112 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.112 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
2.112 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.112 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.112 * [taylor]: Taking taylor expansion of 2 in n
2.112 * [backup-simplify]: Simplify 2 into 2
2.112 * [taylor]: Taking taylor expansion of (* n PI) in n
2.112 * [taylor]: Taking taylor expansion of n in n
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [taylor]: Taking taylor expansion of PI in n
2.112 * [backup-simplify]: Simplify PI into PI
2.112 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.112 * [taylor]: Taking taylor expansion of 2 in n
2.112 * [backup-simplify]: Simplify 2 into 2
2.112 * [taylor]: Taking taylor expansion of (* n PI) in n
2.112 * [taylor]: Taking taylor expansion of n in n
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [taylor]: Taking taylor expansion of PI in n
2.113 * [backup-simplify]: Simplify PI into PI
2.113 * [backup-simplify]: Simplify (* 0 PI) into 0
2.114 * [backup-simplify]: Simplify (* 2 0) into 0
2.114 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.117 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.117 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.119 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.122 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.122 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.125 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.125 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.128 * [backup-simplify]: Simplify 0 into 0
2.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.136 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.136 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
2.136 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.137 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.137 * [taylor]: Taking taylor expansion of 2 in n
2.137 * [backup-simplify]: Simplify 2 into 2
2.137 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.137 * [taylor]: Taking taylor expansion of PI in n
2.137 * [backup-simplify]: Simplify PI into PI
2.137 * [taylor]: Taking taylor expansion of n in n
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (/ PI 1) into PI
2.137 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.137 * [taylor]: Taking taylor expansion of 2 in n
2.137 * [backup-simplify]: Simplify 2 into 2
2.137 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.137 * [taylor]: Taking taylor expansion of PI in n
2.137 * [backup-simplify]: Simplify PI into PI
2.137 * [taylor]: Taking taylor expansion of n in n
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (/ PI 1) into PI
2.138 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.139 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.143 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.146 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.148 * [backup-simplify]: Simplify 0 into 0
2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.151 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.155 * [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
2.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.156 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.157 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
2.157 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.157 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.157 * [taylor]: Taking taylor expansion of -2 in n
2.157 * [backup-simplify]: Simplify -2 into -2
2.157 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.157 * [taylor]: Taking taylor expansion of PI in n
2.157 * [backup-simplify]: Simplify PI into PI
2.157 * [taylor]: Taking taylor expansion of n in n
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 1 into 1
2.158 * [backup-simplify]: Simplify (/ PI 1) into PI
2.158 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.158 * [taylor]: Taking taylor expansion of -2 in n
2.158 * [backup-simplify]: Simplify -2 into -2
2.158 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.158 * [taylor]: Taking taylor expansion of PI in n
2.158 * [backup-simplify]: Simplify PI into PI
2.158 * [taylor]: Taking taylor expansion of n in n
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 1 into 1
2.159 * [backup-simplify]: Simplify (/ PI 1) into PI
2.159 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.160 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.162 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.164 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.164 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.166 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.169 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.172 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.172 * [backup-simplify]: Simplify 0 into 0
2.173 * [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
2.175 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.176 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.176 * [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))))
2.176 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.176 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.176 * [taylor]: Taking taylor expansion of k in k
2.176 * [backup-simplify]: Simplify 0 into 0
2.176 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (/ 1 1) into 1
2.177 * [backup-simplify]: Simplify (sqrt 0) into 0
2.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.178 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.178 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.178 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.178 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.178 * [taylor]: Taking taylor expansion of 1/2 in k
2.178 * [backup-simplify]: Simplify 1/2 into 1/2
2.178 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.178 * [taylor]: Taking taylor expansion of 1/2 in k
2.178 * [backup-simplify]: Simplify 1/2 into 1/2
2.178 * [taylor]: Taking taylor expansion of k in k
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.178 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.178 * [taylor]: Taking taylor expansion of 2 in k
2.179 * [backup-simplify]: Simplify 2 into 2
2.179 * [taylor]: Taking taylor expansion of (* n PI) in k
2.179 * [taylor]: Taking taylor expansion of n in k
2.179 * [backup-simplify]: Simplify n into n
2.179 * [taylor]: Taking taylor expansion of PI in k
2.179 * [backup-simplify]: Simplify PI into PI
2.179 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.179 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.179 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.179 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.180 * [backup-simplify]: Simplify (- 0) into 0
2.180 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.180 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.180 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.180 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.180 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.180 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.180 * [taylor]: Taking taylor expansion of k in n
2.180 * [backup-simplify]: Simplify k into k
2.180 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.180 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.181 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.181 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.181 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.181 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.181 * [taylor]: Taking taylor expansion of 1/2 in n
2.181 * [backup-simplify]: Simplify 1/2 into 1/2
2.181 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.181 * [taylor]: Taking taylor expansion of 1/2 in n
2.181 * [backup-simplify]: Simplify 1/2 into 1/2
2.181 * [taylor]: Taking taylor expansion of k in n
2.181 * [backup-simplify]: Simplify k into k
2.181 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.181 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.181 * [taylor]: Taking taylor expansion of 2 in n
2.181 * [backup-simplify]: Simplify 2 into 2
2.181 * [taylor]: Taking taylor expansion of (* n PI) in n
2.181 * [taylor]: Taking taylor expansion of n in n
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [taylor]: Taking taylor expansion of PI in n
2.181 * [backup-simplify]: Simplify PI into PI
2.181 * [backup-simplify]: Simplify (* 0 PI) into 0
2.182 * [backup-simplify]: Simplify (* 2 0) into 0
2.184 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.185 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.186 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.187 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.187 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.187 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.188 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.190 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.191 * [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)))))
2.191 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.191 * [taylor]: Taking taylor expansion of k in n
2.191 * [backup-simplify]: Simplify k into k
2.191 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.191 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.191 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.191 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.192 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.192 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.192 * [taylor]: Taking taylor expansion of 1/2 in n
2.192 * [backup-simplify]: Simplify 1/2 into 1/2
2.192 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.192 * [taylor]: Taking taylor expansion of 1/2 in n
2.192 * [backup-simplify]: Simplify 1/2 into 1/2
2.192 * [taylor]: Taking taylor expansion of k in n
2.192 * [backup-simplify]: Simplify k into k
2.192 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.192 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.192 * [taylor]: Taking taylor expansion of 2 in n
2.192 * [backup-simplify]: Simplify 2 into 2
2.192 * [taylor]: Taking taylor expansion of (* n PI) in n
2.192 * [taylor]: Taking taylor expansion of n in n
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 1 into 1
2.192 * [taylor]: Taking taylor expansion of PI in n
2.192 * [backup-simplify]: Simplify PI into PI
2.193 * [backup-simplify]: Simplify (* 0 PI) into 0
2.193 * [backup-simplify]: Simplify (* 2 0) into 0
2.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.197 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.198 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.198 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.198 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.198 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.200 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.201 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.202 * [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)))))
2.204 * [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)))
2.204 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.204 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.204 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.204 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.204 * [taylor]: Taking taylor expansion of 1/2 in k
2.204 * [backup-simplify]: Simplify 1/2 into 1/2
2.204 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.204 * [taylor]: Taking taylor expansion of 1/2 in k
2.204 * [backup-simplify]: Simplify 1/2 into 1/2
2.204 * [taylor]: Taking taylor expansion of k in k
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 1 into 1
2.204 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.204 * [taylor]: Taking taylor expansion of (log n) in k
2.204 * [taylor]: Taking taylor expansion of n in k
2.204 * [backup-simplify]: Simplify n into n
2.204 * [backup-simplify]: Simplify (log n) into (log n)
2.204 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.204 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.204 * [taylor]: Taking taylor expansion of 2 in k
2.204 * [backup-simplify]: Simplify 2 into 2
2.204 * [taylor]: Taking taylor expansion of PI in k
2.205 * [backup-simplify]: Simplify PI into PI
2.205 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.206 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.207 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.207 * [backup-simplify]: Simplify (- 0) into 0
2.207 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.208 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.210 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.211 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.211 * [taylor]: Taking taylor expansion of k in k
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [backup-simplify]: Simplify (/ 1 1) into 1
2.212 * [backup-simplify]: Simplify (sqrt 0) into 0
2.213 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.213 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.214 * [backup-simplify]: Simplify 0 into 0
2.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.215 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.216 * [backup-simplify]: Simplify (- 0) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.217 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.218 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.219 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.220 * [taylor]: Taking taylor expansion of 0 in k
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.221 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.222 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.222 * [backup-simplify]: Simplify (+ 0 0) into 0
2.223 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.223 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.223 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.226 * [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)))))))
2.228 * [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)))))))
2.229 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.232 * [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
2.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.233 * [backup-simplify]: Simplify (- 0) into 0
2.233 * [backup-simplify]: Simplify (+ 0 0) into 0
2.234 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.235 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.237 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.238 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.238 * [taylor]: Taking taylor expansion of 0 in k
2.238 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.241 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.242 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.242 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.244 * [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
2.245 * [backup-simplify]: Simplify (+ 0 0) into 0
2.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.246 * [backup-simplify]: Simplify (- 0) into 0
2.246 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.252 * [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)))))
2.262 * [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))))))))
2.269 * [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))))))))
2.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.278 * [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
2.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.280 * [backup-simplify]: Simplify (- 0) into 0
2.280 * [backup-simplify]: Simplify (+ 0 0) into 0
2.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.283 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.286 * [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
2.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.289 * [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
2.289 * [taylor]: Taking taylor expansion of 0 in k
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.297 * [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
2.298 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.304 * [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
2.305 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.307 * [backup-simplify]: Simplify (- 0) into 0
2.307 * [backup-simplify]: Simplify (+ 0 0) into 0
2.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.316 * [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)))))))
2.332 * [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))))))))))))))
2.343 * [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))))))))))))))
2.354 * [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))))))))))))))))))))))
2.354 * [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)))))
2.354 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.354 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.354 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.354 * [taylor]: Taking taylor expansion of k in k
2.354 * [backup-simplify]: Simplify 0 into 0
2.354 * [backup-simplify]: Simplify 1 into 1
2.355 * [backup-simplify]: Simplify (sqrt 0) into 0
2.356 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.356 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.356 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.356 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.356 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.356 * [taylor]: Taking taylor expansion of 1/2 in k
2.356 * [backup-simplify]: Simplify 1/2 into 1/2
2.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.356 * [taylor]: Taking taylor expansion of 1/2 in k
2.356 * [backup-simplify]: Simplify 1/2 into 1/2
2.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.356 * [taylor]: Taking taylor expansion of k in k
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.356 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.356 * [taylor]: Taking taylor expansion of 2 in k
2.356 * [backup-simplify]: Simplify 2 into 2
2.356 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.356 * [taylor]: Taking taylor expansion of PI in k
2.356 * [backup-simplify]: Simplify PI into PI
2.356 * [taylor]: Taking taylor expansion of n in k
2.356 * [backup-simplify]: Simplify n into n
2.356 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.356 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.356 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.357 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.357 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.357 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.357 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.357 * [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))))
2.357 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.357 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.357 * [taylor]: Taking taylor expansion of k in n
2.357 * [backup-simplify]: Simplify k into k
2.357 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.357 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.357 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.358 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.358 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.358 * [taylor]: Taking taylor expansion of 1/2 in n
2.358 * [backup-simplify]: Simplify 1/2 into 1/2
2.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.358 * [taylor]: Taking taylor expansion of 1/2 in n
2.358 * [backup-simplify]: Simplify 1/2 into 1/2
2.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.358 * [taylor]: Taking taylor expansion of k in n
2.358 * [backup-simplify]: Simplify k into k
2.358 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.358 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.358 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.358 * [taylor]: Taking taylor expansion of 2 in n
2.358 * [backup-simplify]: Simplify 2 into 2
2.358 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.358 * [taylor]: Taking taylor expansion of PI in n
2.358 * [backup-simplify]: Simplify PI into PI
2.358 * [taylor]: Taking taylor expansion of n in n
2.358 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify 1 into 1
2.358 * [backup-simplify]: Simplify (/ PI 1) into PI
2.358 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.359 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.359 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.359 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.359 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.361 * [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)))
2.362 * [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))))
2.362 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.362 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.362 * [taylor]: Taking taylor expansion of k in n
2.362 * [backup-simplify]: Simplify k into k
2.362 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.362 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.362 * [taylor]: Taking taylor expansion of 1/2 in n
2.362 * [backup-simplify]: Simplify 1/2 into 1/2
2.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.362 * [taylor]: Taking taylor expansion of 1/2 in n
2.362 * [backup-simplify]: Simplify 1/2 into 1/2
2.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.362 * [taylor]: Taking taylor expansion of k in n
2.362 * [backup-simplify]: Simplify k into k
2.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.362 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.362 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.362 * [taylor]: Taking taylor expansion of 2 in n
2.362 * [backup-simplify]: Simplify 2 into 2
2.362 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.362 * [taylor]: Taking taylor expansion of PI in n
2.362 * [backup-simplify]: Simplify PI into PI
2.362 * [taylor]: Taking taylor expansion of n in n
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [backup-simplify]: Simplify (/ PI 1) into PI
2.363 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.363 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.363 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.363 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.363 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.364 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.365 * [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)))
2.366 * [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))))
2.367 * [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))
2.367 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.367 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.367 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.367 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.367 * [taylor]: Taking taylor expansion of 1/2 in k
2.367 * [backup-simplify]: Simplify 1/2 into 1/2
2.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.367 * [taylor]: Taking taylor expansion of 1/2 in k
2.367 * [backup-simplify]: Simplify 1/2 into 1/2
2.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.367 * [taylor]: Taking taylor expansion of k in k
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify 1 into 1
2.367 * [backup-simplify]: Simplify (/ 1 1) into 1
2.367 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.367 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.367 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.367 * [taylor]: Taking taylor expansion of 2 in k
2.367 * [backup-simplify]: Simplify 2 into 2
2.367 * [taylor]: Taking taylor expansion of PI in k
2.367 * [backup-simplify]: Simplify PI into PI
2.367 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.368 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.368 * [taylor]: Taking taylor expansion of (log n) in k
2.368 * [taylor]: Taking taylor expansion of n in k
2.368 * [backup-simplify]: Simplify n into n
2.368 * [backup-simplify]: Simplify (log n) into (log n)
2.368 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.369 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.369 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.369 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.370 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.370 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.371 * [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))))
2.371 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.371 * [taylor]: Taking taylor expansion of k in k
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [backup-simplify]: Simplify 1 into 1
2.371 * [backup-simplify]: Simplify (sqrt 0) into 0
2.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.373 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.373 * [backup-simplify]: Simplify 0 into 0
2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.378 * [backup-simplify]: Simplify (- 0) into 0
2.378 * [backup-simplify]: Simplify (+ 0 0) into 0
2.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.381 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.383 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.384 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.384 * [taylor]: Taking taylor expansion of 0 in k
2.384 * [backup-simplify]: Simplify 0 into 0
2.384 * [backup-simplify]: Simplify 0 into 0
2.386 * [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))))))
2.387 * [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))))))
2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.390 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.393 * [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
2.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.394 * [backup-simplify]: Simplify (- 0) into 0
2.395 * [backup-simplify]: Simplify (+ 0 0) into 0
2.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.398 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.400 * [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
2.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.403 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.403 * [taylor]: Taking taylor expansion of 0 in k
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.408 * [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))))))
2.409 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.418 * [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
2.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.420 * [backup-simplify]: Simplify (- 0) into 0
2.420 * [backup-simplify]: Simplify (+ 0 0) into 0
2.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.423 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.426 * [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
2.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.429 * [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
2.429 * [taylor]: Taking taylor expansion of 0 in k
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.435 * [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))))))
2.437 * [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))))))
2.441 * [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))))))))
2.442 * [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)))
2.442 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.442 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.442 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.442 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.442 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.442 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.442 * [taylor]: Taking taylor expansion of 1/2 in k
2.442 * [backup-simplify]: Simplify 1/2 into 1/2
2.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.442 * [taylor]: Taking taylor expansion of k in k
2.442 * [backup-simplify]: Simplify 0 into 0
2.442 * [backup-simplify]: Simplify 1 into 1
2.442 * [backup-simplify]: Simplify (/ 1 1) into 1
2.443 * [taylor]: Taking taylor expansion of 1/2 in k
2.443 * [backup-simplify]: Simplify 1/2 into 1/2
2.443 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.443 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.443 * [taylor]: Taking taylor expansion of -2 in k
2.443 * [backup-simplify]: Simplify -2 into -2
2.443 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.443 * [taylor]: Taking taylor expansion of PI in k
2.443 * [backup-simplify]: Simplify PI into PI
2.443 * [taylor]: Taking taylor expansion of n in k
2.443 * [backup-simplify]: Simplify n into n
2.443 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.443 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.443 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.443 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.444 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.444 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.444 * [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)))
2.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.444 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.444 * [taylor]: Taking taylor expansion of -1 in k
2.444 * [backup-simplify]: Simplify -1 into -1
2.444 * [taylor]: Taking taylor expansion of k in k
2.444 * [backup-simplify]: Simplify 0 into 0
2.444 * [backup-simplify]: Simplify 1 into 1
2.445 * [backup-simplify]: Simplify (/ -1 1) into -1
2.445 * [backup-simplify]: Simplify (sqrt 0) into 0
2.446 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.447 * [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))))
2.447 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.447 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.447 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.447 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.447 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.447 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.447 * [taylor]: Taking taylor expansion of 1/2 in n
2.447 * [backup-simplify]: Simplify 1/2 into 1/2
2.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.447 * [taylor]: Taking taylor expansion of k in n
2.447 * [backup-simplify]: Simplify k into k
2.447 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.447 * [taylor]: Taking taylor expansion of 1/2 in n
2.447 * [backup-simplify]: Simplify 1/2 into 1/2
2.447 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.447 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.447 * [taylor]: Taking taylor expansion of -2 in n
2.447 * [backup-simplify]: Simplify -2 into -2
2.447 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.447 * [taylor]: Taking taylor expansion of PI in n
2.447 * [backup-simplify]: Simplify PI into PI
2.447 * [taylor]: Taking taylor expansion of n in n
2.447 * [backup-simplify]: Simplify 0 into 0
2.447 * [backup-simplify]: Simplify 1 into 1
2.448 * [backup-simplify]: Simplify (/ PI 1) into PI
2.448 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.449 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.450 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.450 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.452 * [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)))
2.454 * [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))))
2.454 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.454 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.454 * [taylor]: Taking taylor expansion of -1 in n
2.454 * [backup-simplify]: Simplify -1 into -1
2.454 * [taylor]: Taking taylor expansion of k in n
2.454 * [backup-simplify]: Simplify k into k
2.454 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.454 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.454 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.455 * [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)))
2.455 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.455 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.455 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.455 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.456 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.456 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.456 * [taylor]: Taking taylor expansion of 1/2 in n
2.456 * [backup-simplify]: Simplify 1/2 into 1/2
2.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.456 * [taylor]: Taking taylor expansion of k in n
2.456 * [backup-simplify]: Simplify k into k
2.456 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.456 * [taylor]: Taking taylor expansion of 1/2 in n
2.456 * [backup-simplify]: Simplify 1/2 into 1/2
2.456 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.456 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.456 * [taylor]: Taking taylor expansion of -2 in n
2.456 * [backup-simplify]: Simplify -2 into -2
2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.456 * [taylor]: Taking taylor expansion of PI in n
2.456 * [backup-simplify]: Simplify PI into PI
2.456 * [taylor]: Taking taylor expansion of n in n
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.457 * [backup-simplify]: Simplify (/ PI 1) into PI
2.457 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.458 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.458 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.459 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.461 * [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)))
2.462 * [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))))
2.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.462 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.462 * [taylor]: Taking taylor expansion of -1 in n
2.462 * [backup-simplify]: Simplify -1 into -1
2.462 * [taylor]: Taking taylor expansion of k in n
2.462 * [backup-simplify]: Simplify k into k
2.463 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.463 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.463 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.464 * [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)))
2.464 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.464 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.464 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.464 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.464 * [taylor]: Taking taylor expansion of 1/2 in k
2.464 * [backup-simplify]: Simplify 1/2 into 1/2
2.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.464 * [taylor]: Taking taylor expansion of k in k
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [backup-simplify]: Simplify 1 into 1
2.465 * [backup-simplify]: Simplify (/ 1 1) into 1
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 (- (log (* -2 PI)) (log n)) in k
2.465 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.465 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.465 * [taylor]: Taking taylor expansion of -2 in k
2.465 * [backup-simplify]: Simplify -2 into -2
2.465 * [taylor]: Taking taylor expansion of PI in k
2.465 * [backup-simplify]: Simplify PI into PI
2.466 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.467 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.467 * [taylor]: Taking taylor expansion of (log n) in k
2.467 * [taylor]: Taking taylor expansion of n in k
2.467 * [backup-simplify]: Simplify n into n
2.467 * [backup-simplify]: Simplify (log n) into (log n)
2.467 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.468 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.468 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.469 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.470 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.471 * [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))))
2.471 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.471 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.471 * [taylor]: Taking taylor expansion of -1 in k
2.471 * [backup-simplify]: Simplify -1 into -1
2.471 * [taylor]: Taking taylor expansion of k in k
2.471 * [backup-simplify]: Simplify 0 into 0
2.471 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (/ -1 1) into -1
2.472 * [backup-simplify]: Simplify (sqrt 0) into 0
2.474 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.475 * [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)))))
2.476 * [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)))))
2.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.478 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.480 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.481 * [backup-simplify]: Simplify (+ 0 0) into 0
2.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.483 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.485 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.487 * [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
2.487 * [taylor]: Taking taylor expansion of 0 in k
2.487 * [backup-simplify]: Simplify 0 into 0
2.487 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.493 * [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))))))
2.494 * [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))))))
2.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.500 * [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
2.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.502 * [backup-simplify]: Simplify (+ 0 0) into 0
2.503 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.505 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.508 * [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
2.508 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.510 * [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
2.510 * [taylor]: Taking taylor expansion of 0 in k
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.522 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.523 * [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))))))
2.527 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.528 * * * [progress]: simplifying candidates
2.528 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
2.528 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.528 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.528 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.529 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.529 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.529 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.529 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
2.529 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.530 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.530 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
2.531 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.531 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.531 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.531 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.531 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.532 * * * * [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)))))>
2.532 * * * * [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)))))>
2.532 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.532 * * * * [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)))))>
2.532 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.532 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
2.532 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.532 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.532 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.532 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.533 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.533 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.533 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.533 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.533 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.533 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.533 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.533 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.533 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [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))))>
2.534 * * * * [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)))))>
2.534 * * * * [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))))>
2.534 * * * * [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)))))>
2.534 * * * * [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)))))>
2.534 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.534 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.534 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.534 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
2.534 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
2.535 * * * * [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)))))>
2.535 * * * * [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))))>
2.535 * * * * [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)))))>
2.535 * * * * [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))))>
2.535 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.535 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.535 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.535 * * * * [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))))>
2.535 * * * * [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))))>
2.535 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.535 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.535 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.535 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.535 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.535 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.536 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
2.536 * * * * [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)))))))>
2.536 * * * * [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)))))))>
2.536 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.536 * * * * [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)))))>
2.536 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
2.536 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.536 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.536 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.536 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.536 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.536 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.537 * * * * [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)))))))))>
2.537 * * * * [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))))))))))))>
2.540 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log 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 2) (- 1/2 (/ k 2)))
  (pow 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 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) 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 PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log 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 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow 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 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)))))))))))
2.545 * * [simplify]: iteration 0: 271 enodes
2.645 * * [simplify]: iteration 1: 662 enodes
2.850 * * [simplify]: iteration 2: 2001 enodes
3.336 * * [simplify]: iteration complete: 2001 enodes
3.337 * * [simplify]: Extracting #0: cost 99 inf + 0
3.338 * * [simplify]: Extracting #1: cost 342 inf + 1
3.341 * * [simplify]: Extracting #2: cost 590 inf + 1931
3.350 * * [simplify]: Extracting #3: cost 627 inf + 25636
3.372 * * [simplify]: Extracting #4: cost 438 inf + 90869
3.394 * * [simplify]: Extracting #5: cost 214 inf + 189941
3.429 * * [simplify]: Extracting #6: cost 112 inf + 249014
3.488 * * [simplify]: Extracting #7: cost 30 inf + 300427
3.575 * * [simplify]: Extracting #8: cost 3 inf + 322021
3.651 * * [simplify]: Extracting #9: cost 0 inf + 324899
3.731 * * [simplify]: Extracting #10: cost 0 inf + 324779
3.815 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* 2 PI) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* 2 PI) n)
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (exp (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* (* 2 PI) n) (- 1/2 (/ 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)))
  (* (* (* (* n (* n n)) 8) PI) (* PI PI))
  (* (* (* (* PI PI) PI) (* n 2)) (* (* n 2) (* n 2)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (cbrt PI)) (* n 2))
  (* (* (sqrt PI) 2) n)
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (/ (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (+ (+ (* 1/4 (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) (log (* 2 PI))))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* (log n) (log n)) (* k k)) 1/8))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* k k))) (* 1/2 (* k (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2)))))))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (- (+ (- (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* k k) (log n)) +nan.0)) (* (log (* 2 PI)) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 (* (* (log n) (log n)) (* k k)))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) +nan.0) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) +nan.0)) (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (- (* +nan.0 (* (* (log (* 2 PI)) k) (exp (* (log (* (* 2 PI) n)) 1/2)))) (* (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k)) (log n))))))))
  (+ (/ (- (* +nan.0 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))))) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) (* k k)))))
  (+ (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
3.826 * * * [progress]: adding candidates to table
5.109 * * [progress]: iteration 2 / 4
5.109 * * * [progress]: picking best candidate
5.149 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
5.149 * * * [progress]: localizing error
5.200 * * * [progress]: generating rewritten candidates
5.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
5.218 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
5.229 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
5.270 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
5.311 * * * [progress]: generating series expansions
5.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
5.311 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
5.311 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
5.311 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
5.311 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
5.311 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
5.311 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.311 * [taylor]: Taking taylor expansion of 1/2 in k
5.311 * [backup-simplify]: Simplify 1/2 into 1/2
5.311 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.311 * [taylor]: Taking taylor expansion of 1/2 in k
5.311 * [backup-simplify]: Simplify 1/2 into 1/2
5.311 * [taylor]: Taking taylor expansion of k in k
5.311 * [backup-simplify]: Simplify 0 into 0
5.311 * [backup-simplify]: Simplify 1 into 1
5.311 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
5.311 * [taylor]: Taking taylor expansion of (* 2 n) in k
5.311 * [taylor]: Taking taylor expansion of 2 in k
5.311 * [backup-simplify]: Simplify 2 into 2
5.311 * [taylor]: Taking taylor expansion of n in k
5.311 * [backup-simplify]: Simplify n into n
5.311 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
5.311 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
5.312 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.312 * [backup-simplify]: Simplify (- 0) into 0
5.313 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.313 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
5.313 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
5.313 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.313 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.313 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.313 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.313 * [taylor]: Taking taylor expansion of 1/2 in n
5.313 * [backup-simplify]: Simplify 1/2 into 1/2
5.313 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.313 * [taylor]: Taking taylor expansion of 1/2 in n
5.313 * [backup-simplify]: Simplify 1/2 into 1/2
5.313 * [taylor]: Taking taylor expansion of k in n
5.313 * [backup-simplify]: Simplify k into k
5.313 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.313 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.313 * [taylor]: Taking taylor expansion of 2 in n
5.313 * [backup-simplify]: Simplify 2 into 2
5.313 * [taylor]: Taking taylor expansion of n in n
5.313 * [backup-simplify]: Simplify 0 into 0
5.313 * [backup-simplify]: Simplify 1 into 1
5.313 * [backup-simplify]: Simplify (* 2 0) into 0
5.314 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.314 * [backup-simplify]: Simplify (log 2) into (log 2)
5.314 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.314 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.314 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.315 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.315 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.315 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.315 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.315 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.315 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.315 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.315 * [taylor]: Taking taylor expansion of 1/2 in n
5.315 * [backup-simplify]: Simplify 1/2 into 1/2
5.315 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.315 * [taylor]: Taking taylor expansion of 1/2 in n
5.315 * [backup-simplify]: Simplify 1/2 into 1/2
5.315 * [taylor]: Taking taylor expansion of k in n
5.315 * [backup-simplify]: Simplify k into k
5.315 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.315 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.316 * [taylor]: Taking taylor expansion of 2 in n
5.316 * [backup-simplify]: Simplify 2 into 2
5.316 * [taylor]: Taking taylor expansion of n in n
5.316 * [backup-simplify]: Simplify 0 into 0
5.316 * [backup-simplify]: Simplify 1 into 1
5.316 * [backup-simplify]: Simplify (* 2 0) into 0
5.316 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.316 * [backup-simplify]: Simplify (log 2) into (log 2)
5.317 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.317 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.317 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.317 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.317 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.318 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.318 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
5.318 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
5.318 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
5.318 * [taylor]: Taking taylor expansion of (log 2) in k
5.318 * [taylor]: Taking taylor expansion of 2 in k
5.318 * [backup-simplify]: Simplify 2 into 2
5.318 * [backup-simplify]: Simplify (log 2) into (log 2)
5.318 * [taylor]: Taking taylor expansion of (log n) in k
5.318 * [taylor]: Taking taylor expansion of n in k
5.318 * [backup-simplify]: Simplify n into n
5.318 * [backup-simplify]: Simplify (log n) into (log n)
5.318 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.318 * [taylor]: Taking taylor expansion of 1/2 in k
5.318 * [backup-simplify]: Simplify 1/2 into 1/2
5.318 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.318 * [taylor]: Taking taylor expansion of 1/2 in k
5.318 * [backup-simplify]: Simplify 1/2 into 1/2
5.318 * [taylor]: Taking taylor expansion of k in k
5.318 * [backup-simplify]: Simplify 0 into 0
5.318 * [backup-simplify]: Simplify 1 into 1
5.319 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
5.319 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.319 * [backup-simplify]: Simplify (- 0) into 0
5.319 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.320 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
5.320 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
5.320 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
5.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
5.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.322 * [backup-simplify]: Simplify (- 0) into 0
5.323 * [backup-simplify]: Simplify (+ 0 0) into 0
5.323 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.323 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
5.324 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.324 * [taylor]: Taking taylor expansion of 0 in k
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 0 into 0
5.325 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.325 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.325 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
5.328 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
5.329 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
5.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.331 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.332 * [backup-simplify]: Simplify (- 0) into 0
5.332 * [backup-simplify]: Simplify (+ 0 0) into 0
5.333 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.333 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
5.334 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.334 * [taylor]: Taking taylor expansion of 0 in k
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.335 * [backup-simplify]: Simplify (- 0) into 0
5.335 * [backup-simplify]: Simplify (+ 0 0) into 0
5.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.338 * [backup-simplify]: Simplify (+ 0 0) into 0
5.339 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
5.340 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
5.342 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
5.345 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
5.345 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
5.345 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
5.345 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.345 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
5.345 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
5.345 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.345 * [taylor]: Taking taylor expansion of 1/2 in k
5.345 * [backup-simplify]: Simplify 1/2 into 1/2
5.345 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.345 * [taylor]: Taking taylor expansion of 1/2 in k
5.345 * [backup-simplify]: Simplify 1/2 into 1/2
5.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.345 * [taylor]: Taking taylor expansion of k in k
5.345 * [backup-simplify]: Simplify 0 into 0
5.345 * [backup-simplify]: Simplify 1 into 1
5.345 * [backup-simplify]: Simplify (/ 1 1) into 1
5.345 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
5.345 * [taylor]: Taking taylor expansion of (/ 2 n) in k
5.345 * [taylor]: Taking taylor expansion of 2 in k
5.345 * [backup-simplify]: Simplify 2 into 2
5.345 * [taylor]: Taking taylor expansion of n in k
5.345 * [backup-simplify]: Simplify n into n
5.346 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
5.346 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
5.346 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.346 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.346 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.346 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
5.347 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
5.347 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.347 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.347 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.347 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.347 * [taylor]: Taking taylor expansion of 1/2 in n
5.347 * [backup-simplify]: Simplify 1/2 into 1/2
5.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.347 * [taylor]: Taking taylor expansion of 1/2 in n
5.347 * [backup-simplify]: Simplify 1/2 into 1/2
5.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.347 * [taylor]: Taking taylor expansion of k in n
5.347 * [backup-simplify]: Simplify k into k
5.347 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.347 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.347 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.347 * [taylor]: Taking taylor expansion of 2 in n
5.347 * [backup-simplify]: Simplify 2 into 2
5.347 * [taylor]: Taking taylor expansion of n in n
5.347 * [backup-simplify]: Simplify 0 into 0
5.347 * [backup-simplify]: Simplify 1 into 1
5.347 * [backup-simplify]: Simplify (/ 2 1) into 2
5.347 * [backup-simplify]: Simplify (log 2) into (log 2)
5.347 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.347 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.348 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.348 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.348 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.349 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.349 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.349 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.349 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.349 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.349 * [taylor]: Taking taylor expansion of 1/2 in n
5.349 * [backup-simplify]: Simplify 1/2 into 1/2
5.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.349 * [taylor]: Taking taylor expansion of 1/2 in n
5.349 * [backup-simplify]: Simplify 1/2 into 1/2
5.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.349 * [taylor]: Taking taylor expansion of k in n
5.349 * [backup-simplify]: Simplify k into k
5.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.349 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.349 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.349 * [taylor]: Taking taylor expansion of 2 in n
5.349 * [backup-simplify]: Simplify 2 into 2
5.349 * [taylor]: Taking taylor expansion of n in n
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.349 * [backup-simplify]: Simplify (/ 2 1) into 2
5.350 * [backup-simplify]: Simplify (log 2) into (log 2)
5.350 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.350 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.350 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.350 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.351 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.351 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.351 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
5.351 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
5.351 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.351 * [taylor]: Taking taylor expansion of 1/2 in k
5.351 * [backup-simplify]: Simplify 1/2 into 1/2
5.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.351 * [taylor]: Taking taylor expansion of 1/2 in k
5.351 * [backup-simplify]: Simplify 1/2 into 1/2
5.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.351 * [taylor]: Taking taylor expansion of k in k
5.351 * [backup-simplify]: Simplify 0 into 0
5.351 * [backup-simplify]: Simplify 1 into 1
5.351 * [backup-simplify]: Simplify (/ 1 1) into 1
5.351 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
5.351 * [taylor]: Taking taylor expansion of (log 2) in k
5.351 * [taylor]: Taking taylor expansion of 2 in k
5.352 * [backup-simplify]: Simplify 2 into 2
5.352 * [backup-simplify]: Simplify (log 2) into (log 2)
5.352 * [taylor]: Taking taylor expansion of (log n) in k
5.352 * [taylor]: Taking taylor expansion of n in k
5.352 * [backup-simplify]: Simplify n into n
5.352 * [backup-simplify]: Simplify (log n) into (log n)
5.352 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.352 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.353 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.353 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.353 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
5.353 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
5.354 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.354 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
5.355 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.356 * [backup-simplify]: Simplify (- 0) into 0
5.356 * [backup-simplify]: Simplify (+ 0 0) into 0
5.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.357 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
5.358 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.358 * [taylor]: Taking taylor expansion of 0 in k
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 0 into 0
5.358 * [backup-simplify]: Simplify 0 into 0
5.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.361 * [backup-simplify]: Simplify (- 0) into 0
5.362 * [backup-simplify]: Simplify (+ 0 0) into 0
5.362 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.363 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
5.364 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.364 * [taylor]: Taking taylor expansion of 0 in k
5.364 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify 0 into 0
5.364 * [backup-simplify]: Simplify 0 into 0
5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.372 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
5.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.373 * [backup-simplify]: Simplify (- 0) into 0
5.373 * [backup-simplify]: Simplify (+ 0 0) into 0
5.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.375 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
5.376 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.376 * [taylor]: Taking taylor expansion of 0 in k
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
5.376 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.377 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
5.377 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.377 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
5.377 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
5.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.377 * [taylor]: Taking taylor expansion of 1/2 in k
5.377 * [backup-simplify]: Simplify 1/2 into 1/2
5.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.377 * [taylor]: Taking taylor expansion of k in k
5.377 * [backup-simplify]: Simplify 0 into 0
5.377 * [backup-simplify]: Simplify 1 into 1
5.377 * [backup-simplify]: Simplify (/ 1 1) into 1
5.377 * [taylor]: Taking taylor expansion of 1/2 in k
5.377 * [backup-simplify]: Simplify 1/2 into 1/2
5.377 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
5.377 * [taylor]: Taking taylor expansion of (/ -2 n) in k
5.377 * [taylor]: Taking taylor expansion of -2 in k
5.377 * [backup-simplify]: Simplify -2 into -2
5.377 * [taylor]: Taking taylor expansion of n in k
5.378 * [backup-simplify]: Simplify n into n
5.378 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
5.378 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
5.378 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.379 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.379 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
5.379 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.379 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.379 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.379 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.379 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.379 * [taylor]: Taking taylor expansion of 1/2 in n
5.379 * [backup-simplify]: Simplify 1/2 into 1/2
5.379 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.379 * [taylor]: Taking taylor expansion of k in n
5.379 * [backup-simplify]: Simplify k into k
5.379 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.379 * [taylor]: Taking taylor expansion of 1/2 in n
5.379 * [backup-simplify]: Simplify 1/2 into 1/2
5.379 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.379 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.379 * [taylor]: Taking taylor expansion of -2 in n
5.379 * [backup-simplify]: Simplify -2 into -2
5.379 * [taylor]: Taking taylor expansion of n in n
5.379 * [backup-simplify]: Simplify 0 into 0
5.380 * [backup-simplify]: Simplify 1 into 1
5.380 * [backup-simplify]: Simplify (/ -2 1) into -2
5.380 * [backup-simplify]: Simplify (log -2) into (log -2)
5.380 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.381 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.381 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.382 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.383 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.383 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.383 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.383 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.383 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.383 * [taylor]: Taking taylor expansion of 1/2 in n
5.383 * [backup-simplify]: Simplify 1/2 into 1/2
5.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.383 * [taylor]: Taking taylor expansion of k in n
5.383 * [backup-simplify]: Simplify k into k
5.383 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.383 * [taylor]: Taking taylor expansion of 1/2 in n
5.383 * [backup-simplify]: Simplify 1/2 into 1/2
5.383 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.383 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.383 * [taylor]: Taking taylor expansion of -2 in n
5.383 * [backup-simplify]: Simplify -2 into -2
5.383 * [taylor]: Taking taylor expansion of n in n
5.383 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify 1 into 1
5.384 * [backup-simplify]: Simplify (/ -2 1) into -2
5.384 * [backup-simplify]: Simplify (log -2) into (log -2)
5.384 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.384 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.385 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.386 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.386 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.386 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
5.386 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
5.386 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.386 * [taylor]: Taking taylor expansion of 1/2 in k
5.386 * [backup-simplify]: Simplify 1/2 into 1/2
5.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.386 * [taylor]: Taking taylor expansion of k in k
5.387 * [backup-simplify]: Simplify 0 into 0
5.387 * [backup-simplify]: Simplify 1 into 1
5.387 * [backup-simplify]: Simplify (/ 1 1) into 1
5.387 * [taylor]: Taking taylor expansion of 1/2 in k
5.387 * [backup-simplify]: Simplify 1/2 into 1/2
5.387 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
5.387 * [taylor]: Taking taylor expansion of (log -2) in k
5.387 * [taylor]: Taking taylor expansion of -2 in k
5.387 * [backup-simplify]: Simplify -2 into -2
5.388 * [backup-simplify]: Simplify (log -2) into (log -2)
5.388 * [taylor]: Taking taylor expansion of (log n) in k
5.388 * [taylor]: Taking taylor expansion of n in k
5.388 * [backup-simplify]: Simplify n into n
5.388 * [backup-simplify]: Simplify (log n) into (log n)
5.388 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.389 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.389 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.389 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
5.390 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
5.390 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.391 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
5.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.395 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.396 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
5.397 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.397 * [taylor]: Taking taylor expansion of 0 in k
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
5.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.403 * [backup-simplify]: Simplify (+ 0 0) into 0
5.404 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.405 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
5.407 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.407 * [taylor]: Taking taylor expansion of 0 in k
5.407 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify 0 into 0
5.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.414 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
5.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.416 * [backup-simplify]: Simplify (+ 0 0) into 0
5.417 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.418 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
5.421 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.421 * [taylor]: Taking taylor expansion of 0 in k
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
5.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
5.422 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
5.422 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
5.422 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.422 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.422 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.422 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.422 * [taylor]: Taking taylor expansion of 1/2 in k
5.422 * [backup-simplify]: Simplify 1/2 into 1/2
5.422 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.422 * [taylor]: Taking taylor expansion of 1/2 in k
5.422 * [backup-simplify]: Simplify 1/2 into 1/2
5.422 * [taylor]: Taking taylor expansion of k in k
5.422 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify 1 into 1
5.422 * [taylor]: Taking taylor expansion of (log PI) in k
5.422 * [taylor]: Taking taylor expansion of PI in k
5.422 * [backup-simplify]: Simplify PI into PI
5.423 * [backup-simplify]: Simplify (log PI) into (log PI)
5.423 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.423 * [backup-simplify]: Simplify (- 0) into 0
5.424 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.425 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.427 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.427 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.427 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.427 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.427 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.427 * [taylor]: Taking taylor expansion of 1/2 in k
5.427 * [backup-simplify]: Simplify 1/2 into 1/2
5.427 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.427 * [taylor]: Taking taylor expansion of 1/2 in k
5.427 * [backup-simplify]: Simplify 1/2 into 1/2
5.427 * [taylor]: Taking taylor expansion of k in k
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 1 into 1
5.427 * [taylor]: Taking taylor expansion of (log PI) in k
5.427 * [taylor]: Taking taylor expansion of PI in k
5.427 * [backup-simplify]: Simplify PI into PI
5.428 * [backup-simplify]: Simplify (log PI) into (log PI)
5.428 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.428 * [backup-simplify]: Simplify (- 0) into 0
5.429 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.429 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.430 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.431 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
5.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.432 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.433 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.433 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
5.440 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
5.441 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
5.443 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.444 * [backup-simplify]: Simplify (- 0) into 0
5.444 * [backup-simplify]: Simplify (+ 0 0) into 0
5.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
5.452 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
5.454 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
5.457 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
5.457 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.457 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
5.457 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.458 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.458 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.458 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.458 * [taylor]: Taking taylor expansion of 1/2 in k
5.458 * [backup-simplify]: Simplify 1/2 into 1/2
5.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.458 * [taylor]: Taking taylor expansion of 1/2 in k
5.458 * [backup-simplify]: Simplify 1/2 into 1/2
5.458 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.458 * [taylor]: Taking taylor expansion of k in k
5.458 * [backup-simplify]: Simplify 0 into 0
5.458 * [backup-simplify]: Simplify 1 into 1
5.458 * [backup-simplify]: Simplify (/ 1 1) into 1
5.458 * [taylor]: Taking taylor expansion of (log PI) in k
5.458 * [taylor]: Taking taylor expansion of PI in k
5.458 * [backup-simplify]: Simplify PI into PI
5.458 * [backup-simplify]: Simplify (log PI) into (log PI)
5.459 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.459 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.459 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.460 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.460 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.460 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.460 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.460 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.460 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.460 * [taylor]: Taking taylor expansion of 1/2 in k
5.460 * [backup-simplify]: Simplify 1/2 into 1/2
5.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.460 * [taylor]: Taking taylor expansion of 1/2 in k
5.460 * [backup-simplify]: Simplify 1/2 into 1/2
5.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.460 * [taylor]: Taking taylor expansion of k in k
5.460 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify 1 into 1
5.460 * [backup-simplify]: Simplify (/ 1 1) into 1
5.460 * [taylor]: Taking taylor expansion of (log PI) in k
5.460 * [taylor]: Taking taylor expansion of PI in k
5.461 * [backup-simplify]: Simplify PI into PI
5.461 * [backup-simplify]: Simplify (log PI) into (log PI)
5.461 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.461 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.462 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.462 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.462 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.463 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
5.463 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.463 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
5.463 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.463 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.463 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.463 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.463 * [taylor]: Taking taylor expansion of 1/2 in k
5.463 * [backup-simplify]: Simplify 1/2 into 1/2
5.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.463 * [taylor]: Taking taylor expansion of k in k
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (/ 1 1) into 1
5.463 * [taylor]: Taking taylor expansion of 1/2 in k
5.463 * [backup-simplify]: Simplify 1/2 into 1/2
5.463 * [taylor]: Taking taylor expansion of (log PI) in k
5.463 * [taylor]: Taking taylor expansion of PI in k
5.463 * [backup-simplify]: Simplify PI into PI
5.464 * [backup-simplify]: Simplify (log PI) into (log PI)
5.464 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.464 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.465 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.465 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.465 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.465 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.466 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.466 * [taylor]: Taking taylor expansion of 1/2 in k
5.466 * [backup-simplify]: Simplify 1/2 into 1/2
5.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.466 * [taylor]: Taking taylor expansion of k in k
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 1 into 1
5.466 * [backup-simplify]: Simplify (/ 1 1) into 1
5.466 * [taylor]: Taking taylor expansion of 1/2 in k
5.466 * [backup-simplify]: Simplify 1/2 into 1/2
5.466 * [taylor]: Taking taylor expansion of (log PI) in k
5.466 * [taylor]: Taking taylor expansion of PI in k
5.466 * [backup-simplify]: Simplify PI into PI
5.466 * [backup-simplify]: Simplify (log PI) into (log PI)
5.466 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.467 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.467 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.468 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.468 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify 0 into 0
5.468 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
5.468 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.468 * [backup-simplify]: Simplify (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
5.468 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
5.468 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
5.468 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.468 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
5.468 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
5.468 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
5.468 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.468 * [taylor]: Taking taylor expansion of 1/2 in k
5.469 * [backup-simplify]: Simplify 1/2 into 1/2
5.469 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.469 * [taylor]: Taking taylor expansion of 1/2 in k
5.469 * [backup-simplify]: Simplify 1/2 into 1/2
5.469 * [taylor]: Taking taylor expansion of k in k
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.469 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
5.469 * [taylor]: Taking taylor expansion of (* 2 n) in k
5.469 * [taylor]: Taking taylor expansion of 2 in k
5.469 * [backup-simplify]: Simplify 2 into 2
5.469 * [taylor]: Taking taylor expansion of n in k
5.469 * [backup-simplify]: Simplify n into n
5.469 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
5.469 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
5.469 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.469 * [backup-simplify]: Simplify (- 0) into 0
5.470 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.470 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
5.470 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
5.470 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.470 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.470 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.470 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.470 * [taylor]: Taking taylor expansion of 1/2 in k
5.470 * [backup-simplify]: Simplify 1/2 into 1/2
5.470 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.470 * [taylor]: Taking taylor expansion of 1/2 in k
5.470 * [backup-simplify]: Simplify 1/2 into 1/2
5.470 * [taylor]: Taking taylor expansion of k in k
5.470 * [backup-simplify]: Simplify 0 into 0
5.470 * [backup-simplify]: Simplify 1 into 1
5.470 * [taylor]: Taking taylor expansion of (log PI) in k
5.470 * [taylor]: Taking taylor expansion of PI in k
5.470 * [backup-simplify]: Simplify PI into PI
5.470 * [backup-simplify]: Simplify (log PI) into (log PI)
5.470 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.471 * [backup-simplify]: Simplify (- 0) into 0
5.471 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.472 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.472 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.473 * [taylor]: Taking taylor expansion of k in k
5.473 * [backup-simplify]: Simplify 0 into 0
5.473 * [backup-simplify]: Simplify 1 into 1
5.473 * [backup-simplify]: Simplify (/ 1 1) into 1
5.473 * [backup-simplify]: Simplify (sqrt 0) into 0
5.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.474 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
5.474 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.474 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.474 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.474 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.474 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.474 * [taylor]: Taking taylor expansion of 1/2 in n
5.474 * [backup-simplify]: Simplify 1/2 into 1/2
5.474 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.474 * [taylor]: Taking taylor expansion of 1/2 in n
5.474 * [backup-simplify]: Simplify 1/2 into 1/2
5.474 * [taylor]: Taking taylor expansion of k in n
5.474 * [backup-simplify]: Simplify k into k
5.474 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.474 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.474 * [taylor]: Taking taylor expansion of 2 in n
5.474 * [backup-simplify]: Simplify 2 into 2
5.474 * [taylor]: Taking taylor expansion of n in n
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 1 into 1
5.475 * [backup-simplify]: Simplify (* 2 0) into 0
5.475 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.475 * [backup-simplify]: Simplify (log 2) into (log 2)
5.475 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.475 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.475 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.476 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.477 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.477 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.477 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.477 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.477 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.477 * [taylor]: Taking taylor expansion of 1/2 in n
5.477 * [backup-simplify]: Simplify 1/2 into 1/2
5.477 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.477 * [taylor]: Taking taylor expansion of 1/2 in n
5.477 * [backup-simplify]: Simplify 1/2 into 1/2
5.477 * [taylor]: Taking taylor expansion of k in n
5.477 * [backup-simplify]: Simplify k into k
5.477 * [taylor]: Taking taylor expansion of (log PI) in n
5.477 * [taylor]: Taking taylor expansion of PI in n
5.477 * [backup-simplify]: Simplify PI into PI
5.477 * [backup-simplify]: Simplify (log PI) into (log PI)
5.477 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.477 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.477 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.481 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.482 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.482 * [taylor]: Taking taylor expansion of k in n
5.482 * [backup-simplify]: Simplify k into k
5.482 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.482 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.482 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
5.482 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.483 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.483 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.483 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.483 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.483 * [taylor]: Taking taylor expansion of 1/2 in n
5.483 * [backup-simplify]: Simplify 1/2 into 1/2
5.483 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.483 * [taylor]: Taking taylor expansion of 1/2 in n
5.483 * [backup-simplify]: Simplify 1/2 into 1/2
5.483 * [taylor]: Taking taylor expansion of k in n
5.483 * [backup-simplify]: Simplify k into k
5.483 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.483 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.483 * [taylor]: Taking taylor expansion of 2 in n
5.483 * [backup-simplify]: Simplify 2 into 2
5.483 * [taylor]: Taking taylor expansion of n in n
5.483 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify 1 into 1
5.483 * [backup-simplify]: Simplify (* 2 0) into 0
5.484 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.484 * [backup-simplify]: Simplify (log 2) into (log 2)
5.484 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.484 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.484 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.485 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.485 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.485 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.485 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.485 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.485 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.485 * [taylor]: Taking taylor expansion of 1/2 in n
5.485 * [backup-simplify]: Simplify 1/2 into 1/2
5.485 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.485 * [taylor]: Taking taylor expansion of 1/2 in n
5.485 * [backup-simplify]: Simplify 1/2 into 1/2
5.485 * [taylor]: Taking taylor expansion of k in n
5.485 * [backup-simplify]: Simplify k into k
5.485 * [taylor]: Taking taylor expansion of (log PI) in n
5.485 * [taylor]: Taking taylor expansion of PI in n
5.485 * [backup-simplify]: Simplify PI into PI
5.486 * [backup-simplify]: Simplify (log PI) into (log PI)
5.486 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.486 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.486 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.486 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.487 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.487 * [taylor]: Taking taylor expansion of k in n
5.487 * [backup-simplify]: Simplify k into k
5.487 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.487 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.487 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
5.488 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
5.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
5.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.488 * [taylor]: Taking taylor expansion of k in k
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [backup-simplify]: Simplify (sqrt 0) into 0
5.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.489 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.489 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
5.489 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
5.489 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
5.489 * [taylor]: Taking taylor expansion of (log 2) in k
5.489 * [taylor]: Taking taylor expansion of 2 in k
5.489 * [backup-simplify]: Simplify 2 into 2
5.489 * [backup-simplify]: Simplify (log 2) into (log 2)
5.489 * [taylor]: Taking taylor expansion of (log n) in k
5.490 * [taylor]: Taking taylor expansion of n in k
5.490 * [backup-simplify]: Simplify n into n
5.490 * [backup-simplify]: Simplify (log n) into (log n)
5.490 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.490 * [taylor]: Taking taylor expansion of 1/2 in k
5.490 * [backup-simplify]: Simplify 1/2 into 1/2
5.490 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.490 * [taylor]: Taking taylor expansion of 1/2 in k
5.490 * [backup-simplify]: Simplify 1/2 into 1/2
5.490 * [taylor]: Taking taylor expansion of k in k
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
5.490 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.490 * [backup-simplify]: Simplify (- 0) into 0
5.491 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.491 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
5.491 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
5.491 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.491 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.491 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.491 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.491 * [taylor]: Taking taylor expansion of 1/2 in k
5.491 * [backup-simplify]: Simplify 1/2 into 1/2
5.491 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.491 * [taylor]: Taking taylor expansion of 1/2 in k
5.491 * [backup-simplify]: Simplify 1/2 into 1/2
5.491 * [taylor]: Taking taylor expansion of k in k
5.491 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify 1 into 1
5.492 * [taylor]: Taking taylor expansion of (log PI) in k
5.492 * [taylor]: Taking taylor expansion of PI in k
5.492 * [backup-simplify]: Simplify PI into PI
5.492 * [backup-simplify]: Simplify (log PI) into (log PI)
5.492 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.492 * [backup-simplify]: Simplify (- 0) into 0
5.493 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.493 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.494 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.495 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
5.495 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.497 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.497 * [backup-simplify]: Simplify (- 0) into 0
5.497 * [backup-simplify]: Simplify (+ 0 0) into 0
5.498 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
5.499 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
5.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.502 * [backup-simplify]: Simplify (- 0) into 0
5.503 * [backup-simplify]: Simplify (+ 0 0) into 0
5.503 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.504 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
5.505 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.506 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
5.507 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
5.507 * [taylor]: Taking taylor expansion of 0 in k
5.507 * [backup-simplify]: Simplify 0 into 0
5.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.509 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.509 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.510 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
5.522 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
5.523 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.523 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.524 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.526 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.527 * [backup-simplify]: Simplify (+ 0 0) into 0
5.527 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
5.529 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
5.534 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
5.539 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
5.540 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
5.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.541 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
5.544 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.545 * [backup-simplify]: Simplify (- 0) into 0
5.546 * [backup-simplify]: Simplify (+ 0 0) into 0
5.547 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.548 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.550 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.552 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.554 * [backup-simplify]: Simplify (- 0) into 0
5.554 * [backup-simplify]: Simplify (+ 0 0) into 0
5.555 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.556 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
5.558 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.559 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
5.560 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
5.560 * [taylor]: Taking taylor expansion of 0 in k
5.560 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.564 * [backup-simplify]: Simplify (- 0) into 0
5.565 * [backup-simplify]: Simplify (+ 0 0) into 0
5.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
5.577 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
5.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.579 * [backup-simplify]: Simplify (- 0) into 0
5.579 * [backup-simplify]: Simplify (+ 0 0) into 0
5.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.584 * [backup-simplify]: Simplify (+ 0 0) into 0
5.585 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
5.587 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
5.597 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
5.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.601 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.622 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
5.628 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
5.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
5.635 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
5.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
5.638 * [backup-simplify]: Simplify (- 0) into 0
5.638 * [backup-simplify]: Simplify (+ 0 0) into 0
5.639 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.642 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.648 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
5.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
5.650 * [backup-simplify]: Simplify (- 0) into 0
5.651 * [backup-simplify]: Simplify (+ 0 0) into 0
5.651 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.653 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
5.655 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
5.658 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
5.658 * [taylor]: Taking taylor expansion of 0 in k
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.663 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
5.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.665 * [backup-simplify]: Simplify (- 0) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.680 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
5.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.681 * [backup-simplify]: Simplify (- 0) into 0
5.681 * [backup-simplify]: Simplify (+ 0 0) into 0
5.684 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
5.686 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
5.686 * [backup-simplify]: Simplify (+ 0 0) into 0
5.687 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
5.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
5.701 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
5.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.747 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
5.766 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
5.783 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
5.784 * [backup-simplify]: Simplify (/ (* (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (pow PI (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
5.784 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
5.784 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
5.784 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
5.784 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.784 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.784 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.784 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.784 * [taylor]: Taking taylor expansion of 1/2 in k
5.784 * [backup-simplify]: Simplify 1/2 into 1/2
5.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.784 * [taylor]: Taking taylor expansion of 1/2 in k
5.784 * [backup-simplify]: Simplify 1/2 into 1/2
5.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.784 * [taylor]: Taking taylor expansion of k in k
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 1 into 1
5.785 * [backup-simplify]: Simplify (/ 1 1) into 1
5.785 * [taylor]: Taking taylor expansion of (log PI) in k
5.785 * [taylor]: Taking taylor expansion of PI in k
5.785 * [backup-simplify]: Simplify PI into PI
5.785 * [backup-simplify]: Simplify (log PI) into (log PI)
5.785 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.785 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.786 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.786 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.787 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.787 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.787 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
5.787 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
5.787 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.787 * [taylor]: Taking taylor expansion of 1/2 in k
5.787 * [backup-simplify]: Simplify 1/2 into 1/2
5.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.787 * [taylor]: Taking taylor expansion of 1/2 in k
5.787 * [backup-simplify]: Simplify 1/2 into 1/2
5.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.787 * [taylor]: Taking taylor expansion of k in k
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 1 into 1
5.787 * [backup-simplify]: Simplify (/ 1 1) into 1
5.787 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
5.787 * [taylor]: Taking taylor expansion of (/ 2 n) in k
5.787 * [taylor]: Taking taylor expansion of 2 in k
5.787 * [backup-simplify]: Simplify 2 into 2
5.787 * [taylor]: Taking taylor expansion of n in k
5.787 * [backup-simplify]: Simplify n into n
5.787 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
5.787 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
5.788 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.788 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.788 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.788 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
5.788 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
5.788 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.788 * [taylor]: Taking taylor expansion of k in k
5.788 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify 1 into 1
5.789 * [backup-simplify]: Simplify (sqrt 0) into 0
5.789 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.789 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
5.789 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.789 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
5.789 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
5.790 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
5.790 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.790 * [taylor]: Taking taylor expansion of 1/2 in n
5.790 * [backup-simplify]: Simplify 1/2 into 1/2
5.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.790 * [taylor]: Taking taylor expansion of 1/2 in n
5.790 * [backup-simplify]: Simplify 1/2 into 1/2
5.790 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.790 * [taylor]: Taking taylor expansion of k in n
5.790 * [backup-simplify]: Simplify k into k
5.790 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.790 * [taylor]: Taking taylor expansion of (log PI) in n
5.790 * [taylor]: Taking taylor expansion of PI in n
5.790 * [backup-simplify]: Simplify PI into PI
5.790 * [backup-simplify]: Simplify (log PI) into (log PI)
5.790 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.790 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.790 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.791 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
5.791 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.791 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.791 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.791 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.791 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.791 * [taylor]: Taking taylor expansion of 1/2 in n
5.791 * [backup-simplify]: Simplify 1/2 into 1/2
5.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.791 * [taylor]: Taking taylor expansion of 1/2 in n
5.791 * [backup-simplify]: Simplify 1/2 into 1/2
5.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.791 * [taylor]: Taking taylor expansion of k in n
5.791 * [backup-simplify]: Simplify k into k
5.791 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.791 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.791 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.791 * [taylor]: Taking taylor expansion of 2 in n
5.791 * [backup-simplify]: Simplify 2 into 2
5.791 * [taylor]: Taking taylor expansion of n in n
5.791 * [backup-simplify]: Simplify 0 into 0
5.791 * [backup-simplify]: Simplify 1 into 1
5.791 * [backup-simplify]: Simplify (/ 2 1) into 2
5.792 * [backup-simplify]: Simplify (log 2) into (log 2)
5.792 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.792 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.792 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.792 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.793 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.793 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.793 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.794 * [taylor]: Taking taylor expansion of k in n
5.794 * [backup-simplify]: Simplify k into k
5.794 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.794 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
5.794 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.794 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
5.794 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
5.794 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
5.794 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.794 * [taylor]: Taking taylor expansion of 1/2 in n
5.794 * [backup-simplify]: Simplify 1/2 into 1/2
5.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.794 * [taylor]: Taking taylor expansion of 1/2 in n
5.794 * [backup-simplify]: Simplify 1/2 into 1/2
5.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.794 * [taylor]: Taking taylor expansion of k in n
5.794 * [backup-simplify]: Simplify k into k
5.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.794 * [taylor]: Taking taylor expansion of (log PI) in n
5.794 * [taylor]: Taking taylor expansion of PI in n
5.794 * [backup-simplify]: Simplify PI into PI
5.795 * [backup-simplify]: Simplify (log PI) into (log PI)
5.795 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.795 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.795 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.796 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
5.796 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.796 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.796 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.796 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.796 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.796 * [taylor]: Taking taylor expansion of 1/2 in n
5.796 * [backup-simplify]: Simplify 1/2 into 1/2
5.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.796 * [taylor]: Taking taylor expansion of 1/2 in n
5.796 * [backup-simplify]: Simplify 1/2 into 1/2
5.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.796 * [taylor]: Taking taylor expansion of k in n
5.796 * [backup-simplify]: Simplify k into k
5.797 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.797 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.797 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.797 * [taylor]: Taking taylor expansion of 2 in n
5.797 * [backup-simplify]: Simplify 2 into 2
5.797 * [taylor]: Taking taylor expansion of n in n
5.797 * [backup-simplify]: Simplify 0 into 0
5.797 * [backup-simplify]: Simplify 1 into 1
5.797 * [backup-simplify]: Simplify (/ 2 1) into 2
5.798 * [backup-simplify]: Simplify (log 2) into (log 2)
5.798 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.798 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.798 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.799 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.799 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.800 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.800 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.800 * [taylor]: Taking taylor expansion of k in n
5.800 * [backup-simplify]: Simplify k into k
5.800 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.801 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
5.802 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
5.802 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
5.802 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.802 * [taylor]: Taking taylor expansion of k in k
5.802 * [backup-simplify]: Simplify 0 into 0
5.802 * [backup-simplify]: Simplify 1 into 1
5.802 * [backup-simplify]: Simplify (sqrt 0) into 0
5.804 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.804 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
5.804 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.804 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.804 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.804 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.804 * [taylor]: Taking taylor expansion of 1/2 in k
5.804 * [backup-simplify]: Simplify 1/2 into 1/2
5.804 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.804 * [taylor]: Taking taylor expansion of 1/2 in k
5.804 * [backup-simplify]: Simplify 1/2 into 1/2
5.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.804 * [taylor]: Taking taylor expansion of k in k
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.804 * [backup-simplify]: Simplify (/ 1 1) into 1
5.805 * [taylor]: Taking taylor expansion of (log PI) in k
5.805 * [taylor]: Taking taylor expansion of PI in k
5.805 * [backup-simplify]: Simplify PI into PI
5.805 * [backup-simplify]: Simplify (log PI) into (log PI)
5.805 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.806 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.806 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.807 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.808 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.808 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
5.808 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
5.808 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.808 * [taylor]: Taking taylor expansion of 1/2 in k
5.808 * [backup-simplify]: Simplify 1/2 into 1/2
5.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.808 * [taylor]: Taking taylor expansion of 1/2 in k
5.808 * [backup-simplify]: Simplify 1/2 into 1/2
5.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.808 * [taylor]: Taking taylor expansion of k in k
5.808 * [backup-simplify]: Simplify 0 into 0
5.808 * [backup-simplify]: Simplify 1 into 1
5.808 * [backup-simplify]: Simplify (/ 1 1) into 1
5.809 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
5.809 * [taylor]: Taking taylor expansion of (log 2) in k
5.809 * [taylor]: Taking taylor expansion of 2 in k
5.809 * [backup-simplify]: Simplify 2 into 2
5.809 * [backup-simplify]: Simplify (log 2) into (log 2)
5.809 * [taylor]: Taking taylor expansion of (log n) in k
5.809 * [taylor]: Taking taylor expansion of n in k
5.809 * [backup-simplify]: Simplify n into n
5.809 * [backup-simplify]: Simplify (log n) into (log n)
5.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.810 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.810 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.810 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.811 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
5.811 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
5.812 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.813 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
5.814 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.814 * [backup-simplify]: Simplify 0 into 0
5.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
5.817 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.818 * [backup-simplify]: Simplify (- 0) into 0
5.818 * [backup-simplify]: Simplify (+ 0 0) into 0
5.819 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.820 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
5.821 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.822 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.823 * [backup-simplify]: Simplify (- 0) into 0
5.824 * [backup-simplify]: Simplify (+ 0 0) into 0
5.824 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
5.826 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.827 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.827 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
5.827 * [taylor]: Taking taylor expansion of 0 in k
5.827 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.829 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.830 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.831 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
5.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.835 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.836 * [backup-simplify]: Simplify (- 0) into 0
5.836 * [backup-simplify]: Simplify (+ 0 0) into 0
5.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.838 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
5.840 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.850 * [backup-simplify]: Simplify (- 0) into 0
5.850 * [backup-simplify]: Simplify (+ 0 0) into 0
5.851 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.853 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.854 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
5.855 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
5.855 * [taylor]: Taking taylor expansion of 0 in k
5.855 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
5.860 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.862 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.862 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
5.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.869 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
5.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.871 * [backup-simplify]: Simplify (- 0) into 0
5.872 * [backup-simplify]: Simplify (+ 0 0) into 0
5.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.874 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
5.876 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.881 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
5.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.883 * [backup-simplify]: Simplify (- 0) into 0
5.884 * [backup-simplify]: Simplify (+ 0 0) into 0
5.885 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.887 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.889 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
5.890 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
5.890 * [taylor]: Taking taylor expansion of 0 in k
5.890 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 0 into 0
5.891 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
5.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.899 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.902 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
5.903 * [backup-simplify]: Simplify (/ (* (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.903 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
5.903 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
5.903 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.903 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.903 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
5.903 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
5.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.903 * [taylor]: Taking taylor expansion of 1/2 in k
5.903 * [backup-simplify]: Simplify 1/2 into 1/2
5.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.903 * [taylor]: Taking taylor expansion of k in k
5.903 * [backup-simplify]: Simplify 0 into 0
5.903 * [backup-simplify]: Simplify 1 into 1
5.904 * [backup-simplify]: Simplify (/ 1 1) into 1
5.904 * [taylor]: Taking taylor expansion of 1/2 in k
5.904 * [backup-simplify]: Simplify 1/2 into 1/2
5.904 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
5.904 * [taylor]: Taking taylor expansion of (/ -2 n) in k
5.904 * [taylor]: Taking taylor expansion of -2 in k
5.904 * [backup-simplify]: Simplify -2 into -2
5.904 * [taylor]: Taking taylor expansion of n in k
5.904 * [backup-simplify]: Simplify n into n
5.904 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
5.904 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
5.905 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.905 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.905 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
5.905 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.905 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.905 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.906 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.906 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.906 * [taylor]: Taking taylor expansion of 1/2 in k
5.906 * [backup-simplify]: Simplify 1/2 into 1/2
5.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.906 * [taylor]: Taking taylor expansion of k in k
5.906 * [backup-simplify]: Simplify 0 into 0
5.906 * [backup-simplify]: Simplify 1 into 1
5.906 * [backup-simplify]: Simplify (/ 1 1) into 1
5.906 * [taylor]: Taking taylor expansion of 1/2 in k
5.906 * [backup-simplify]: Simplify 1/2 into 1/2
5.906 * [taylor]: Taking taylor expansion of (log PI) in k
5.906 * [taylor]: Taking taylor expansion of PI in k
5.906 * [backup-simplify]: Simplify PI into PI
5.907 * [backup-simplify]: Simplify (log PI) into (log PI)
5.907 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.908 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.909 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.909 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.909 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.909 * [taylor]: Taking taylor expansion of -1 in k
5.909 * [backup-simplify]: Simplify -1 into -1
5.909 * [taylor]: Taking taylor expansion of k in k
5.910 * [backup-simplify]: Simplify 0 into 0
5.910 * [backup-simplify]: Simplify 1 into 1
5.910 * [backup-simplify]: Simplify (/ -1 1) into -1
5.910 * [backup-simplify]: Simplify (sqrt 0) into 0
5.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.912 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.912 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.912 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
5.912 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.913 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.913 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.913 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.913 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.913 * [taylor]: Taking taylor expansion of 1/2 in n
5.913 * [backup-simplify]: Simplify 1/2 into 1/2
5.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.913 * [taylor]: Taking taylor expansion of k in n
5.913 * [backup-simplify]: Simplify k into k
5.913 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.913 * [taylor]: Taking taylor expansion of 1/2 in n
5.913 * [backup-simplify]: Simplify 1/2 into 1/2
5.913 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.913 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.913 * [taylor]: Taking taylor expansion of -2 in n
5.913 * [backup-simplify]: Simplify -2 into -2
5.913 * [taylor]: Taking taylor expansion of n in n
5.913 * [backup-simplify]: Simplify 0 into 0
5.913 * [backup-simplify]: Simplify 1 into 1
5.914 * [backup-simplify]: Simplify (/ -2 1) into -2
5.914 * [backup-simplify]: Simplify (log -2) into (log -2)
5.914 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.914 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.915 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.915 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.916 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.916 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.916 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
5.916 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
5.916 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.916 * [taylor]: Taking taylor expansion of 1/2 in n
5.916 * [backup-simplify]: Simplify 1/2 into 1/2
5.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.916 * [taylor]: Taking taylor expansion of k in n
5.916 * [backup-simplify]: Simplify k into k
5.916 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.916 * [taylor]: Taking taylor expansion of 1/2 in n
5.916 * [backup-simplify]: Simplify 1/2 into 1/2
5.916 * [taylor]: Taking taylor expansion of (log PI) in n
5.916 * [taylor]: Taking taylor expansion of PI in n
5.916 * [backup-simplify]: Simplify PI into PI
5.917 * [backup-simplify]: Simplify (log PI) into (log PI)
5.917 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.917 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.918 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
5.918 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.918 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.918 * [taylor]: Taking taylor expansion of -1 in n
5.918 * [backup-simplify]: Simplify -1 into -1
5.918 * [taylor]: Taking taylor expansion of k in n
5.918 * [backup-simplify]: Simplify k into k
5.918 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.918 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.919 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.919 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.920 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.920 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
5.920 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.920 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.920 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.920 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.920 * [taylor]: Taking taylor expansion of 1/2 in n
5.920 * [backup-simplify]: Simplify 1/2 into 1/2
5.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.920 * [taylor]: Taking taylor expansion of k in n
5.920 * [backup-simplify]: Simplify k into k
5.920 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.920 * [taylor]: Taking taylor expansion of 1/2 in n
5.920 * [backup-simplify]: Simplify 1/2 into 1/2
5.920 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.920 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.921 * [taylor]: Taking taylor expansion of -2 in n
5.921 * [backup-simplify]: Simplify -2 into -2
5.921 * [taylor]: Taking taylor expansion of n in n
5.921 * [backup-simplify]: Simplify 0 into 0
5.921 * [backup-simplify]: Simplify 1 into 1
5.921 * [backup-simplify]: Simplify (/ -2 1) into -2
5.921 * [backup-simplify]: Simplify (log -2) into (log -2)
5.922 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.922 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.922 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.923 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.924 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.924 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.924 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
5.924 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
5.924 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.924 * [taylor]: Taking taylor expansion of 1/2 in n
5.924 * [backup-simplify]: Simplify 1/2 into 1/2
5.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.924 * [taylor]: Taking taylor expansion of k in n
5.924 * [backup-simplify]: Simplify k into k
5.924 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.924 * [taylor]: Taking taylor expansion of 1/2 in n
5.924 * [backup-simplify]: Simplify 1/2 into 1/2
5.924 * [taylor]: Taking taylor expansion of (log PI) in n
5.924 * [taylor]: Taking taylor expansion of PI in n
5.924 * [backup-simplify]: Simplify PI into PI
5.925 * [backup-simplify]: Simplify (log PI) into (log PI)
5.925 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.925 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.925 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
5.926 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.926 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.926 * [taylor]: Taking taylor expansion of -1 in n
5.926 * [backup-simplify]: Simplify -1 into -1
5.926 * [taylor]: Taking taylor expansion of k in n
5.926 * [backup-simplify]: Simplify k into k
5.926 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.926 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.926 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.927 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.928 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.928 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
5.928 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.928 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
5.928 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
5.928 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.928 * [taylor]: Taking taylor expansion of 1/2 in k
5.928 * [backup-simplify]: Simplify 1/2 into 1/2
5.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.928 * [taylor]: Taking taylor expansion of k in k
5.928 * [backup-simplify]: Simplify 0 into 0
5.929 * [backup-simplify]: Simplify 1 into 1
5.929 * [backup-simplify]: Simplify (/ 1 1) into 1
5.929 * [taylor]: Taking taylor expansion of 1/2 in k
5.929 * [backup-simplify]: Simplify 1/2 into 1/2
5.929 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
5.929 * [taylor]: Taking taylor expansion of (log -2) in k
5.929 * [taylor]: Taking taylor expansion of -2 in k
5.929 * [backup-simplify]: Simplify -2 into -2
5.930 * [backup-simplify]: Simplify (log -2) into (log -2)
5.930 * [taylor]: Taking taylor expansion of (log n) in k
5.930 * [taylor]: Taking taylor expansion of n in k
5.930 * [backup-simplify]: Simplify n into n
5.930 * [backup-simplify]: Simplify (log n) into (log n)
5.930 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.931 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.931 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.931 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
5.931 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
5.932 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.932 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.932 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.932 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.932 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.932 * [taylor]: Taking taylor expansion of 1/2 in k
5.932 * [backup-simplify]: Simplify 1/2 into 1/2
5.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.932 * [taylor]: Taking taylor expansion of k in k
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.933 * [backup-simplify]: Simplify (/ 1 1) into 1
5.933 * [taylor]: Taking taylor expansion of 1/2 in k
5.933 * [backup-simplify]: Simplify 1/2 into 1/2
5.933 * [taylor]: Taking taylor expansion of (log PI) in k
5.933 * [taylor]: Taking taylor expansion of PI in k
5.933 * [backup-simplify]: Simplify PI into PI
5.933 * [backup-simplify]: Simplify (log PI) into (log PI)
5.933 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.934 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.934 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.934 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.934 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.934 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.934 * [taylor]: Taking taylor expansion of -1 in k
5.935 * [backup-simplify]: Simplify -1 into -1
5.935 * [taylor]: Taking taylor expansion of k in k
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 1 into 1
5.935 * [backup-simplify]: Simplify (/ -1 1) into -1
5.935 * [backup-simplify]: Simplify (sqrt 0) into 0
5.936 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.936 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.937 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.937 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.939 * [backup-simplify]: Simplify (+ 0 0) into 0
5.939 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
5.940 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
5.941 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
5.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.942 * [backup-simplify]: Simplify (+ 0 0) into 0
5.942 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.943 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
5.943 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.944 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
5.944 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
5.944 * [taylor]: Taking taylor expansion of 0 in k
5.944 * [backup-simplify]: Simplify 0 into 0
5.944 * [backup-simplify]: Simplify 0 into 0
5.945 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
5.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.947 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.948 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.948 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.951 * [backup-simplify]: Simplify (+ 0 0) into 0
5.951 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.952 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
5.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.955 * [backup-simplify]: Simplify (+ 0 0) into 0
5.956 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.956 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
5.957 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.958 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
5.958 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.959 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
5.959 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
5.959 * [taylor]: Taking taylor expansion of 0 in k
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.959 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
5.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.965 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.968 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.968 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.976 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
5.977 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
5.977 * [backup-simplify]: Simplify (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))
5.977 * [approximate]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (n k) around 0
5.977 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.977 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
5.977 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
5.977 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
5.977 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.977 * [taylor]: Taking taylor expansion of 1/2 in k
5.977 * [backup-simplify]: Simplify 1/2 into 1/2
5.977 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.977 * [taylor]: Taking taylor expansion of 1/2 in k
5.977 * [backup-simplify]: Simplify 1/2 into 1/2
5.977 * [taylor]: Taking taylor expansion of k in k
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
5.977 * [taylor]: Taking taylor expansion of (* 2 n) in k
5.977 * [taylor]: Taking taylor expansion of 2 in k
5.977 * [backup-simplify]: Simplify 2 into 2
5.977 * [taylor]: Taking taylor expansion of n in k
5.977 * [backup-simplify]: Simplify n into n
5.977 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
5.978 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
5.978 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.978 * [backup-simplify]: Simplify (- 0) into 0
5.979 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.979 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
5.979 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
5.979 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.979 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.979 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.979 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.979 * [taylor]: Taking taylor expansion of 1/2 in k
5.979 * [backup-simplify]: Simplify 1/2 into 1/2
5.979 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.979 * [taylor]: Taking taylor expansion of 1/2 in k
5.979 * [backup-simplify]: Simplify 1/2 into 1/2
5.979 * [taylor]: Taking taylor expansion of k in k
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [taylor]: Taking taylor expansion of (log PI) in k
5.979 * [taylor]: Taking taylor expansion of PI in k
5.979 * [backup-simplify]: Simplify PI into PI
5.980 * [backup-simplify]: Simplify (log PI) into (log PI)
5.980 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.981 * [backup-simplify]: Simplify (- 0) into 0
5.981 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.982 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.984 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.984 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.984 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.984 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.984 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.984 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.984 * [taylor]: Taking taylor expansion of 1/2 in n
5.984 * [backup-simplify]: Simplify 1/2 into 1/2
5.984 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.984 * [taylor]: Taking taylor expansion of 1/2 in n
5.984 * [backup-simplify]: Simplify 1/2 into 1/2
5.984 * [taylor]: Taking taylor expansion of k in n
5.984 * [backup-simplify]: Simplify k into k
5.984 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.984 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.984 * [taylor]: Taking taylor expansion of 2 in n
5.984 * [backup-simplify]: Simplify 2 into 2
5.984 * [taylor]: Taking taylor expansion of n in n
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (* 2 0) into 0
5.985 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.986 * [backup-simplify]: Simplify (log 2) into (log 2)
5.986 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.986 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.986 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.987 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.988 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.988 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.988 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.988 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.988 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.988 * [taylor]: Taking taylor expansion of 1/2 in n
5.988 * [backup-simplify]: Simplify 1/2 into 1/2
5.988 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.988 * [taylor]: Taking taylor expansion of 1/2 in n
5.988 * [backup-simplify]: Simplify 1/2 into 1/2
5.988 * [taylor]: Taking taylor expansion of k in n
5.988 * [backup-simplify]: Simplify k into k
5.988 * [taylor]: Taking taylor expansion of (log PI) in n
5.988 * [taylor]: Taking taylor expansion of PI in n
5.988 * [backup-simplify]: Simplify PI into PI
5.989 * [backup-simplify]: Simplify (log PI) into (log PI)
5.989 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.989 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.989 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.989 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.990 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.990 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.990 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.990 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.990 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.990 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.990 * [taylor]: Taking taylor expansion of 1/2 in n
5.990 * [backup-simplify]: Simplify 1/2 into 1/2
5.990 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.990 * [taylor]: Taking taylor expansion of 1/2 in n
5.990 * [backup-simplify]: Simplify 1/2 into 1/2
5.990 * [taylor]: Taking taylor expansion of k in n
5.990 * [backup-simplify]: Simplify k into k
5.990 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.990 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.990 * [taylor]: Taking taylor expansion of 2 in n
5.990 * [backup-simplify]: Simplify 2 into 2
5.990 * [taylor]: Taking taylor expansion of n in n
5.990 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify 1 into 1
5.991 * [backup-simplify]: Simplify (* 2 0) into 0
5.992 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.992 * [backup-simplify]: Simplify (log 2) into (log 2)
5.992 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.992 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.992 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.993 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.993 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.994 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.994 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.994 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.994 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.994 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.994 * [taylor]: Taking taylor expansion of 1/2 in n
5.994 * [backup-simplify]: Simplify 1/2 into 1/2
5.994 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.994 * [taylor]: Taking taylor expansion of 1/2 in n
5.994 * [backup-simplify]: Simplify 1/2 into 1/2
5.994 * [taylor]: Taking taylor expansion of k in n
5.994 * [backup-simplify]: Simplify k into k
5.994 * [taylor]: Taking taylor expansion of (log PI) in n
5.994 * [taylor]: Taking taylor expansion of PI in n
5.994 * [backup-simplify]: Simplify PI into PI
5.995 * [backup-simplify]: Simplify (log PI) into (log PI)
5.995 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.995 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.995 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.996 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.996 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.997 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
5.997 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.997 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
5.997 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
5.997 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
5.997 * [taylor]: Taking taylor expansion of (log 2) in k
5.997 * [taylor]: Taking taylor expansion of 2 in k
5.997 * [backup-simplify]: Simplify 2 into 2
5.997 * [backup-simplify]: Simplify (log 2) into (log 2)
5.997 * [taylor]: Taking taylor expansion of (log n) in k
5.997 * [taylor]: Taking taylor expansion of n in k
5.997 * [backup-simplify]: Simplify n into n
5.998 * [backup-simplify]: Simplify (log n) into (log n)
5.998 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.998 * [taylor]: Taking taylor expansion of 1/2 in k
5.998 * [backup-simplify]: Simplify 1/2 into 1/2
5.998 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.998 * [taylor]: Taking taylor expansion of 1/2 in k
5.998 * [backup-simplify]: Simplify 1/2 into 1/2
5.998 * [taylor]: Taking taylor expansion of k in k
5.998 * [backup-simplify]: Simplify 0 into 0
5.998 * [backup-simplify]: Simplify 1 into 1
5.998 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
5.999 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.999 * [backup-simplify]: Simplify (- 0) into 0
5.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.000 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
6.000 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
6.000 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
6.000 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
6.000 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
6.000 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
6.000 * [taylor]: Taking taylor expansion of 1/2 in k
6.001 * [backup-simplify]: Simplify 1/2 into 1/2
6.001 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
6.001 * [taylor]: Taking taylor expansion of 1/2 in k
6.001 * [backup-simplify]: Simplify 1/2 into 1/2
6.001 * [taylor]: Taking taylor expansion of k in k
6.001 * [backup-simplify]: Simplify 0 into 0
6.001 * [backup-simplify]: Simplify 1 into 1
6.001 * [taylor]: Taking taylor expansion of (log PI) in k
6.001 * [taylor]: Taking taylor expansion of PI in k
6.001 * [backup-simplify]: Simplify PI into PI
6.001 * [backup-simplify]: Simplify (log PI) into (log PI)
6.002 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.002 * [backup-simplify]: Simplify (- 0) into 0
6.002 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.003 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
6.005 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
6.006 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
6.007 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
6.009 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
6.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
6.011 * [backup-simplify]: Simplify (- 0) into 0
6.011 * [backup-simplify]: Simplify (+ 0 0) into 0
6.012 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
6.013 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
6.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
6.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
6.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
6.016 * [backup-simplify]: Simplify (- 0) into 0
6.017 * [backup-simplify]: Simplify (+ 0 0) into 0
6.018 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
6.018 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
6.019 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.020 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
6.020 * [taylor]: Taking taylor expansion of 0 in k
6.020 * [backup-simplify]: Simplify 0 into 0
6.020 * [backup-simplify]: Simplify 0 into 0
6.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
6.022 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.023 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.023 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
6.035 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
6.036 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.036 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.037 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
6.039 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
6.040 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
6.042 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
6.047 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
6.051 * [backup-simplify]: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
6.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
6.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
6.056 * [backup-simplify]: Simplify (- 0) into 0
6.056 * [backup-simplify]: Simplify (+ 0 0) into 0
6.057 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
6.059 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.063 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
6.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
6.064 * [backup-simplify]: Simplify (- 0) into 0
6.065 * [backup-simplify]: Simplify (+ 0 0) into 0
6.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
6.066 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
6.068 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.069 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
6.069 * [taylor]: Taking taylor expansion of 0 in k
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 0 into 0
6.069 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
6.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.074 * [backup-simplify]: Simplify (- 0) into 0
6.074 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
6.088 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
6.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.089 * [backup-simplify]: Simplify (- 0) into 0
6.089 * [backup-simplify]: Simplify (+ 0 0) into 0
6.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
6.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
6.094 * [backup-simplify]: Simplify (+ 0 0) into 0
6.096 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
6.098 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
6.110 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
6.127 * [backup-simplify]: Simplify (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
6.144 * [backup-simplify]: Simplify (+ (* (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) (* k 1)) (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))
6.144 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))
6.144 * [approximate]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
6.144 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
6.144 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
6.144 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
6.144 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
6.144 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.144 * [taylor]: Taking taylor expansion of 1/2 in k
6.144 * [backup-simplify]: Simplify 1/2 into 1/2
6.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.144 * [taylor]: Taking taylor expansion of 1/2 in k
6.144 * [backup-simplify]: Simplify 1/2 into 1/2
6.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.145 * [taylor]: Taking taylor expansion of k in k
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [taylor]: Taking taylor expansion of (log PI) in k
6.145 * [taylor]: Taking taylor expansion of PI in k
6.145 * [backup-simplify]: Simplify PI into PI
6.146 * [backup-simplify]: Simplify (log PI) into (log PI)
6.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.146 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.147 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.148 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
6.148 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
6.148 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
6.148 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
6.148 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
6.148 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.148 * [taylor]: Taking taylor expansion of 1/2 in k
6.149 * [backup-simplify]: Simplify 1/2 into 1/2
6.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.149 * [taylor]: Taking taylor expansion of 1/2 in k
6.149 * [backup-simplify]: Simplify 1/2 into 1/2
6.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.149 * [taylor]: Taking taylor expansion of k in k
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [backup-simplify]: Simplify (/ 1 1) into 1
6.149 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
6.149 * [taylor]: Taking taylor expansion of (/ 2 n) in k
6.149 * [taylor]: Taking taylor expansion of 2 in k
6.149 * [backup-simplify]: Simplify 2 into 2
6.149 * [taylor]: Taking taylor expansion of n in k
6.149 * [backup-simplify]: Simplify n into n
6.149 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
6.149 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
6.150 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.150 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.151 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.151 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
6.151 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
6.151 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.151 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
6.151 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
6.151 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
6.151 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.151 * [taylor]: Taking taylor expansion of 1/2 in n
6.151 * [backup-simplify]: Simplify 1/2 into 1/2
6.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.151 * [taylor]: Taking taylor expansion of 1/2 in n
6.151 * [backup-simplify]: Simplify 1/2 into 1/2
6.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.151 * [taylor]: Taking taylor expansion of k in n
6.151 * [backup-simplify]: Simplify k into k
6.151 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.151 * [taylor]: Taking taylor expansion of (log PI) in n
6.151 * [taylor]: Taking taylor expansion of PI in n
6.151 * [backup-simplify]: Simplify PI into PI
6.152 * [backup-simplify]: Simplify (log PI) into (log PI)
6.152 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.152 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.152 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.153 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
6.153 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
6.153 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.153 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
6.153 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
6.153 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.153 * [taylor]: Taking taylor expansion of 1/2 in n
6.153 * [backup-simplify]: Simplify 1/2 into 1/2
6.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.153 * [taylor]: Taking taylor expansion of 1/2 in n
6.153 * [backup-simplify]: Simplify 1/2 into 1/2
6.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.154 * [taylor]: Taking taylor expansion of k in n
6.154 * [backup-simplify]: Simplify k into k
6.154 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.154 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
6.154 * [taylor]: Taking taylor expansion of (/ 2 n) in n
6.154 * [taylor]: Taking taylor expansion of 2 in n
6.154 * [backup-simplify]: Simplify 2 into 2
6.154 * [taylor]: Taking taylor expansion of n in n
6.154 * [backup-simplify]: Simplify 0 into 0
6.154 * [backup-simplify]: Simplify 1 into 1
6.154 * [backup-simplify]: Simplify (/ 2 1) into 2
6.155 * [backup-simplify]: Simplify (log 2) into (log 2)
6.155 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.155 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.155 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
6.156 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
6.157 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
6.157 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
6.157 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
6.157 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
6.157 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
6.157 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.157 * [taylor]: Taking taylor expansion of 1/2 in n
6.157 * [backup-simplify]: Simplify 1/2 into 1/2
6.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.157 * [taylor]: Taking taylor expansion of 1/2 in n
6.157 * [backup-simplify]: Simplify 1/2 into 1/2
6.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.157 * [taylor]: Taking taylor expansion of k in n
6.157 * [backup-simplify]: Simplify k into k
6.157 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.157 * [taylor]: Taking taylor expansion of (log PI) in n
6.157 * [taylor]: Taking taylor expansion of PI in n
6.157 * [backup-simplify]: Simplify PI into PI
6.158 * [backup-simplify]: Simplify (log PI) into (log PI)
6.158 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.158 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.158 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.159 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
6.159 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
6.159 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
6.159 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
6.159 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
6.159 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
6.159 * [taylor]: Taking taylor expansion of 1/2 in n
6.159 * [backup-simplify]: Simplify 1/2 into 1/2
6.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.159 * [taylor]: Taking taylor expansion of 1/2 in n
6.159 * [backup-simplify]: Simplify 1/2 into 1/2
6.159 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.159 * [taylor]: Taking taylor expansion of k in n
6.159 * [backup-simplify]: Simplify k into k
6.159 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.160 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
6.160 * [taylor]: Taking taylor expansion of (/ 2 n) in n
6.160 * [taylor]: Taking taylor expansion of 2 in n
6.160 * [backup-simplify]: Simplify 2 into 2
6.160 * [taylor]: Taking taylor expansion of n in n
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 1 into 1
6.160 * [backup-simplify]: Simplify (/ 2 1) into 2
6.160 * [backup-simplify]: Simplify (log 2) into (log 2)
6.161 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.161 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
6.161 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
6.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
6.162 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
6.163 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
6.163 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
6.163 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
6.163 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
6.163 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
6.164 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
6.164 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.164 * [taylor]: Taking taylor expansion of 1/2 in k
6.164 * [backup-simplify]: Simplify 1/2 into 1/2
6.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.164 * [taylor]: Taking taylor expansion of 1/2 in k
6.164 * [backup-simplify]: Simplify 1/2 into 1/2
6.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.164 * [taylor]: Taking taylor expansion of k in k
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 1 into 1
6.164 * [backup-simplify]: Simplify (/ 1 1) into 1
6.164 * [taylor]: Taking taylor expansion of (log PI) in k
6.164 * [taylor]: Taking taylor expansion of PI in k
6.164 * [backup-simplify]: Simplify PI into PI
6.165 * [backup-simplify]: Simplify (log PI) into (log PI)
6.165 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.166 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.166 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.167 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
6.168 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
6.168 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
6.168 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
6.168 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
6.168 * [taylor]: Taking taylor expansion of 1/2 in k
6.168 * [backup-simplify]: Simplify 1/2 into 1/2
6.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.168 * [taylor]: Taking taylor expansion of 1/2 in k
6.168 * [backup-simplify]: Simplify 1/2 into 1/2
6.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.168 * [taylor]: Taking taylor expansion of k in k
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
6.168 * [taylor]: Taking taylor expansion of (log 2) in k
6.168 * [taylor]: Taking taylor expansion of 2 in k
6.168 * [backup-simplify]: Simplify 2 into 2
6.169 * [backup-simplify]: Simplify (log 2) into (log 2)
6.169 * [taylor]: Taking taylor expansion of (log n) in k
6.169 * [taylor]: Taking taylor expansion of n in k
6.169 * [backup-simplify]: Simplify n into n
6.169 * [backup-simplify]: Simplify (log n) into (log n)
6.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.170 * [backup-simplify]: Simplify (- 1/2) into -1/2
6.170 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
6.170 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
6.171 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
6.171 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
6.172 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
6.172 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
6.173 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
6.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.177 * [backup-simplify]: Simplify (- 0) into 0
6.177 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
6.179 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
6.180 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.182 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
6.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.183 * [backup-simplify]: Simplify (- 0) into 0
6.184 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
6.186 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
6.186 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
6.186 * [taylor]: Taking taylor expansion of 0 in k
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
6.187 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.190 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
6.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
6.191 * [backup-simplify]: Simplify (- 0) into 0
6.191 * [backup-simplify]: Simplify (+ 0 0) into 0
6.191 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
6.192 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
6.193 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
6.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
6.195 * [backup-simplify]: Simplify (- 0) into 0
6.196 * [backup-simplify]: Simplify (+ 0 0) into 0
6.196 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
6.197 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.198 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
6.198 * [taylor]: Taking taylor expansion of 0 in k
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.202 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
6.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
6.203 * [backup-simplify]: Simplify (- 0) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
6.205 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
6.206 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.209 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
6.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
6.211 * [backup-simplify]: Simplify (- 0) into 0
6.211 * [backup-simplify]: Simplify (+ 0 0) into 0
6.212 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
6.213 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.214 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
6.214 * [taylor]: Taking taylor expansion of 0 in k
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))) into (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
6.214 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
6.214 * [approximate]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
6.214 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
6.214 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.214 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
6.215 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
6.215 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.215 * [taylor]: Taking taylor expansion of 1/2 in k
6.215 * [backup-simplify]: Simplify 1/2 into 1/2
6.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.215 * [taylor]: Taking taylor expansion of k in k
6.215 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify 1 into 1
6.215 * [backup-simplify]: Simplify (/ 1 1) into 1
6.215 * [taylor]: Taking taylor expansion of 1/2 in k
6.215 * [backup-simplify]: Simplify 1/2 into 1/2
6.215 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
6.215 * [taylor]: Taking taylor expansion of (/ -2 n) in k
6.215 * [taylor]: Taking taylor expansion of -2 in k
6.215 * [backup-simplify]: Simplify -2 into -2
6.215 * [taylor]: Taking taylor expansion of n in k
6.215 * [backup-simplify]: Simplify n into n
6.215 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
6.215 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
6.215 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.216 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.216 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
6.216 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
6.216 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.216 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
6.216 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
6.216 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.216 * [taylor]: Taking taylor expansion of 1/2 in k
6.216 * [backup-simplify]: Simplify 1/2 into 1/2
6.216 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.216 * [taylor]: Taking taylor expansion of k in k
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [backup-simplify]: Simplify (/ 1 1) into 1
6.216 * [taylor]: Taking taylor expansion of 1/2 in k
6.216 * [backup-simplify]: Simplify 1/2 into 1/2
6.216 * [taylor]: Taking taylor expansion of (log PI) in k
6.216 * [taylor]: Taking taylor expansion of PI in k
6.216 * [backup-simplify]: Simplify PI into PI
6.217 * [backup-simplify]: Simplify (log PI) into (log PI)
6.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.217 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.218 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
6.218 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
6.218 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.218 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.218 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
6.218 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
6.218 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.218 * [taylor]: Taking taylor expansion of 1/2 in n
6.218 * [backup-simplify]: Simplify 1/2 into 1/2
6.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.218 * [taylor]: Taking taylor expansion of k in n
6.218 * [backup-simplify]: Simplify k into k
6.218 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.218 * [taylor]: Taking taylor expansion of 1/2 in n
6.218 * [backup-simplify]: Simplify 1/2 into 1/2
6.218 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
6.218 * [taylor]: Taking taylor expansion of (/ -2 n) in n
6.218 * [taylor]: Taking taylor expansion of -2 in n
6.218 * [backup-simplify]: Simplify -2 into -2
6.218 * [taylor]: Taking taylor expansion of n in n
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.219 * [backup-simplify]: Simplify (/ -2 1) into -2
6.219 * [backup-simplify]: Simplify (log -2) into (log -2)
6.219 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.219 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.220 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
6.220 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
6.220 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
6.220 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.220 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
6.220 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
6.220 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.220 * [taylor]: Taking taylor expansion of 1/2 in n
6.220 * [backup-simplify]: Simplify 1/2 into 1/2
6.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.220 * [taylor]: Taking taylor expansion of k in n
6.220 * [backup-simplify]: Simplify k into k
6.220 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.220 * [taylor]: Taking taylor expansion of 1/2 in n
6.221 * [backup-simplify]: Simplify 1/2 into 1/2
6.221 * [taylor]: Taking taylor expansion of (log PI) in n
6.221 * [taylor]: Taking taylor expansion of PI in n
6.221 * [backup-simplify]: Simplify PI into PI
6.221 * [backup-simplify]: Simplify (log PI) into (log PI)
6.221 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.221 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.221 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
6.222 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
6.222 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
6.222 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.222 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
6.222 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
6.222 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.222 * [taylor]: Taking taylor expansion of 1/2 in n
6.222 * [backup-simplify]: Simplify 1/2 into 1/2
6.222 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.222 * [taylor]: Taking taylor expansion of k in n
6.222 * [backup-simplify]: Simplify k into k
6.222 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.222 * [taylor]: Taking taylor expansion of 1/2 in n
6.222 * [backup-simplify]: Simplify 1/2 into 1/2
6.222 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
6.222 * [taylor]: Taking taylor expansion of (/ -2 n) in n
6.222 * [taylor]: Taking taylor expansion of -2 in n
6.222 * [backup-simplify]: Simplify -2 into -2
6.222 * [taylor]: Taking taylor expansion of n in n
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify 1 into 1
6.222 * [backup-simplify]: Simplify (/ -2 1) into -2
6.222 * [backup-simplify]: Simplify (log -2) into (log -2)
6.223 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.223 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.223 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
6.223 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
6.224 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
6.224 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
6.224 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
6.224 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
6.224 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
6.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
6.224 * [taylor]: Taking taylor expansion of 1/2 in n
6.224 * [backup-simplify]: Simplify 1/2 into 1/2
6.224 * [taylor]: Taking taylor expansion of (/ 1 k) in n
6.224 * [taylor]: Taking taylor expansion of k in n
6.224 * [backup-simplify]: Simplify k into k
6.224 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
6.224 * [taylor]: Taking taylor expansion of 1/2 in n
6.224 * [backup-simplify]: Simplify 1/2 into 1/2
6.224 * [taylor]: Taking taylor expansion of (log PI) in n
6.224 * [taylor]: Taking taylor expansion of PI in n
6.224 * [backup-simplify]: Simplify PI into PI
6.224 * [backup-simplify]: Simplify (log PI) into (log PI)
6.224 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
6.224 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
6.225 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
6.226 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
6.226 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
6.226 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
6.226 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
6.226 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
6.226 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.226 * [taylor]: Taking taylor expansion of 1/2 in k
6.226 * [backup-simplify]: Simplify 1/2 into 1/2
6.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.226 * [taylor]: Taking taylor expansion of k in k
6.227 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify 1 into 1
6.227 * [backup-simplify]: Simplify (/ 1 1) into 1
6.227 * [taylor]: Taking taylor expansion of 1/2 in k
6.227 * [backup-simplify]: Simplify 1/2 into 1/2
6.227 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
6.227 * [taylor]: Taking taylor expansion of (log -2) in k
6.227 * [taylor]: Taking taylor expansion of -2 in k
6.227 * [backup-simplify]: Simplify -2 into -2
6.227 * [backup-simplify]: Simplify (log -2) into (log -2)
6.227 * [taylor]: Taking taylor expansion of (log n) in k
6.228 * [taylor]: Taking taylor expansion of n in k
6.228 * [backup-simplify]: Simplify n into n
6.228 * [backup-simplify]: Simplify (log n) into (log n)
6.228 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.228 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.229 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
6.229 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
6.229 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
6.230 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
6.230 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
6.230 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
6.230 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
6.230 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
6.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
6.230 * [taylor]: Taking taylor expansion of 1/2 in k
6.230 * [backup-simplify]: Simplify 1/2 into 1/2
6.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k
6.230 * [taylor]: Taking taylor expansion of k in k
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.231 * [backup-simplify]: Simplify (/ 1 1) into 1
6.231 * [taylor]: Taking taylor expansion of 1/2 in k
6.231 * [backup-simplify]: Simplify 1/2 into 1/2
6.231 * [taylor]: Taking taylor expansion of (log PI) in k
6.231 * [taylor]: Taking taylor expansion of PI in k
6.231 * [backup-simplify]: Simplify PI into PI
6.231 * [backup-simplify]: Simplify (log PI) into (log PI)
6.232 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.232 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.233 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
6.234 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
6.234 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
6.235 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
6.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
6.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.237 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
6.240 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
6.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
6.247 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
6.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
6.248 * [backup-simplify]: Simplify (+ 0 0) into 0
6.249 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
6.250 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
6.251 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
6.252 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
6.252 * [taylor]: Taking taylor expansion of 0 in k
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 0 into 0
6.253 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
6.253 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
6.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
6.257 * [backup-simplify]: Simplify (+ 0 0) into 0
6.258 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
6.260 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
6.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
6.265 * [backup-simplify]: Simplify (+ 0 0) into 0
6.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
6.267 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
6.269 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
6.270 * [taylor]: Taking taylor expansion of 0 in k
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 0 into 0
6.270 * [backup-simplify]: Simplify 0 into 0
6.271 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
6.271 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
6.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
6.278 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
6.282 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.289 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
6.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
6.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
6.290 * [backup-simplify]: Simplify (+ 0 0) into 0
6.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
6.291 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
6.293 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
6.293 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0
6.293 * [taylor]: Taking taylor expansion of 0 in k
6.293 * [backup-simplify]: Simplify 0 into 0
6.293 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))
6.294 * * * [progress]: simplifying candidates
6.294 * * * * [progress]: [ 1 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 2 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 3 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 4 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 5 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 6 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 7 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 8 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 9 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.294 * * * * [progress]: [ 10 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 11 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 12 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 13 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 14 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 15 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 16 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 17 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 18 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 19 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 20 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 21 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 22 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 23 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 24 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 25 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 26 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 27 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (* 1 (- 1/2 (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 28 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (pow PI (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 29 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 30 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 31 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt k)))>
6.295 * * * * [progress]: [ 32 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 33 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))) (sqrt k)))>
6.295 * * * * [progress]: [ 34 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt k)))>
6.296 * * * * [progress]: [ 35 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 36 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 37 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 38 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 39 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 40 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (- 1/2 (/ k 2))) 1)) (sqrt k)))>
6.296 * * * * [progress]: [ 41 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 42 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 43 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 44 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 45 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 46 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.296 * * * * [progress]: [ 47 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
6.296 * * * * [progress]: [ 48 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.296 * * * * [progress]: [ 49 / 150 ] simplifiying candidate #<alt (λ (k n) (pow (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1))>
6.296 * * * * [progress]: [ 50 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 51 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 52 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 53 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 54 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 55 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 56 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 57 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 58 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))>
6.296 * * * * [progress]: [ 59 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.297 * * * * [progress]: [ 60 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
6.297 * * * * [progress]: [ 61 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))>
6.297 * * * * [progress]: [ 62 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))>
6.297 * * * * [progress]: [ 63 / 150 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.297 * * * * [progress]: [ 64 / 150 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.297 * * * * [progress]: [ 65 / 150 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
6.297 * * * * [progress]: [ 66 / 150 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
6.297 * * * * [progress]: [ 67 / 150 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.297 * * * * [progress]: [ 68 / 150 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.297 * * * * [progress]: [ 69 / 150 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.297 * * * * [progress]: [ 70 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (- (sqrt k))))>
6.297 * * * * [progress]: [ 71 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
6.297 * * * * [progress]: [ 72 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
6.297 * * * * [progress]: [ 73 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
6.297 * * * * [progress]: [ 74 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
6.297 * * * * [progress]: [ 75 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
6.297 * * * * [progress]: [ 76 / 150 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
6.297 * * * * [progress]: [ 77 / 150 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
6.297 * * * * [progress]: [ 78 / 150 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
6.297 * * * * [progress]: [ 79 / 150 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
6.297 * * * * [progress]: [ 80 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
6.297 * * * * [progress]: [ 81 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
6.297 * * * * [progress]: [ 82 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
6.297 * * * * [progress]: [ 83 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt k)))>
6.297 * * * * [progress]: [ 84 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
6.297 * * * * [progress]: [ 85 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1) (sqrt k)))>
6.298 * * * * [progress]: [ 86 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
6.298 * * * * [progress]: [ 87 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow PI 1/2)) (* (sqrt k) (* (pow (* n 2) (/ k 2)) (pow PI (/ k 2))))))>
6.298 * * * * [progress]: [ 88 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI 1/2)) (* (sqrt k) (pow PI (/ k 2)))))>
6.298 * * * * [progress]: [ 89 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (pow (* n 2) (/ k 2)))))>
6.298 * * * * [progress]: [ 90 / 150 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
6.298 * * * * [progress]: [ 91 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
6.298 * * * * [progress]: [ 92 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1) (sqrt k)))>
6.298 * * * * [progress]: [ 93 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 94 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 95 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 96 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 97 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 98 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 99 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 100 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 101 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 102 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 103 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.298 * * * * [progress]: [ 104 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 105 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 106 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 107 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 108 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 109 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.298 * * * * [progress]: [ 110 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.299 * * * * [progress]: [ 111 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow PI 1/2)) (* (pow (* n 2) (/ k 2)) (pow PI (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 112 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 113 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 114 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.299 * * * * [progress]: [ 115 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 116 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt PI) (- 1/2 (/ k 2)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 117 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.299 * * * * [progress]: [ 118 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 119 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI 1/2)) (pow PI (- (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 120 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI 1/2)) (pow PI (- (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 121 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (pow (cbrt PI) (- 1/2 (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 122 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 123 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow 1 (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 124 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 125 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 126 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) 1) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.299 * * * * [progress]: [ 127 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (pow PI (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
6.299 * * * * [progress]: [ 128 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 129 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 130 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 131 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 132 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 133 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 134 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow PI (- 1/2 (/ k 2))))) (sqrt k)))>
6.299 * * * * [progress]: [ 135 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI 1/2)) (pow PI (/ k 2))) (sqrt k)))>
6.300 * * * * [progress]: [ 136 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) 1/2) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) (sqrt k)))>
6.300 * * * * [progress]: [ 137 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
6.300 * * * * [progress]: [ 138 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
6.300 * * * * [progress]: [ 139 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.300 * * * * [progress]: [ 140 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.300 * * * * [progress]: [ 141 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
6.300 * * * * [progress]: [ 142 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))) (sqrt k)))>
6.300 * * * * [progress]: [ 143 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))>
6.300 * * * * [progress]: [ 144 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))>
6.300 * * * * [progress]: [ 145 / 150 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
6.300 * * * * [progress]: [ 146 / 150 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
6.300 * * * * [progress]: [ 147 / 150 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
6.300 * * * * [progress]: [ 148 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))) (sqrt k)))>
6.300 * * * * [progress]: [ 149 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))>
6.300 * * * * [progress]: [ 150 / 150 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k)))>
6.302 * [simplify]: Simplifying:
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  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))))))))) (+ (* 1/2 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))
  (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))
6.305 * * [simplify]: iteration 0: 331 enodes
6.403 * * [simplify]: iteration 1: 968 enodes
6.662 * * [simplify]: iteration 2: 2001 enodes
7.092 * * [simplify]: iteration complete: 2001 enodes
7.093 * * [simplify]: Extracting #0: cost 117 inf + 0
7.094 * * [simplify]: Extracting #1: cost 335 inf + 43
7.096 * * [simplify]: Extracting #2: cost 598 inf + 597
7.105 * * [simplify]: Extracting #3: cost 653 inf + 27371
7.130 * * [simplify]: Extracting #4: cost 409 inf + 135199
7.160 * * [simplify]: Extracting #5: cost 263 inf + 216071
7.202 * * [simplify]: Extracting #6: cost 203 inf + 258072
7.248 * * [simplify]: Extracting #7: cost 128 inf + 316606
7.296 * * [simplify]: Extracting #8: cost 76 inf + 376685
7.386 * * [simplify]: Extracting #9: cost 55 inf + 405323
7.449 * * [simplify]: Extracting #10: cost 41 inf + 416160
7.525 * * [simplify]: Extracting #11: cost 24 inf + 427324
7.639 * * [simplify]: Extracting #12: cost 11 inf + 452762
7.769 * * [simplify]: Extracting #13: cost 1 inf + 480122
7.883 * * [simplify]: Extracting #14: cost 0 inf + 483198
8.001 * * [simplify]: Extracting #15: cost 0 inf + 482838
8.139 * * [simplify]: Extracting #16: cost 0 inf + 482598
8.249 * * [simplify]: Extracting #17: cost 0 inf + 482558
8.381 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* n 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (- (/ k 2)))
  (sqrt (* n 2))
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (exp (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ k (pow PI (- 1/2 (/ k 2))))))
  (/ (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) k) (sqrt k))
  (* (cbrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (cbrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))
  (sqrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (sqrt (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (- (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (/ k 2)) (sqrt k)) (pow PI (/ k 2)))
  (* (sqrt k) (pow PI (/ k 2)))
  (* (pow (* n 2) (/ k 2)) (sqrt k))
  (real->posit16 (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))
  (* (* n 2) PI)
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))
  (+ (* (- 1/2 (/ k 2)) (log PI)) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2))))
  (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))))
  (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))))
  (exp (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (cbrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))
  (cbrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (sqrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (sqrt (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (sqrt PI) (sqrt (* n 2)))
  (* (pow (* n 2) (/ k 2)) (pow PI (/ k 2)))
  (* (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/4 (/ (/ k 2) 2))))
  (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/4 (/ (/ k 2) 2))))
  (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/4 (/ (/ k 2) 2))))
  (* (pow (* n 2) (- 1/4 (/ (/ k 2) 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (pow (* n 2) (- 1/4 (/ (/ k 2) 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (pow PI (- 1/4 (/ (/ k 2) 2))) (pow (* n 2) (- 1/4 (/ (/ k 2) 2))))
  (* (pow PI (- 1/4 (/ (/ k 2) 2))) (pow (* n 2) (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (* (pow PI (- 1/4 (/ (/ k 2) 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (* n 2) (- 1/4 (/ (/ k 2) 2))) (pow PI (- 1/2 (/ k 2))))
  (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2))))
  (* (sqrt (* n 2)) (pow PI (- 1/2 (/ k 2))))
  (real->posit16 (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (- (+ (+ (exp (* (log (* n 2)) 1/2)) (+ (* 1/8 (* (* (* (log 2) (log 2)) (exp (* (log (* n 2)) 1/2))) (* k k))) (* (* 1/4 (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k))))) (* 1/8 (* (* (* k k) (* (log n) (log n))) (exp (* (log (* n 2)) 1/2))))) (* 1/2 (* k (+ (* (exp (* (log (* n 2)) 1/2)) (log n)) (* (log 2) (exp (* (log (* n 2)) 1/2)))))))
  (exp (* (log (* n 2)) (- 1/2 (* 1/2 k))))
  (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* k k) (* (log PI) (log PI)))) (* 1/2 (* (log PI) k)))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (+ (* (- +nan.0) (* (* (* (* k k) (* (log n) (log n))) (exp (* (log (* n 2)) 1/2))) (sqrt PI))) (- (* (* (exp (* (log (* n 2)) 1/2)) (sqrt PI)) +nan.0) (- (* +nan.0 (* (* (log 2) (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (sqrt PI)))) (- (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) k)) (sqrt PI)) (- (* (* +nan.0 (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (log PI) (* k k)))) (sqrt PI)) (- (* (* (sqrt PI) (* (exp (* (log (* n 2)) 1/2)) (* (log PI) k))) +nan.0) (- (* (* (sqrt PI) (* (exp (* (log (* n 2)) 1/2)) (* (log PI) (* k k)))) +nan.0) (- (* +nan.0 (* (sqrt PI) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (log 2)))) (- (* +nan.0 (* (sqrt PI) (* (log 2) (* (exp (* (log (* n 2)) 1/2)) k)))) (- (* +nan.0 (* (sqrt PI) (* (* (exp (* (log (* n 2)) 1/2)) (log PI)) (* (* k k) (log n))))) (- (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* k k))) (sqrt PI)) (- (* +nan.0 (* (sqrt PI) (* (exp (* (log (* n 2)) 1/2)) (* (* k k) (* (log PI) (log PI)))))) (- (* +nan.0 (* (sqrt PI) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (* +nan.0 (- (* (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (* k k) (log n))) (sqrt PI)) (* (* (* k (log n)) (exp (* (log (* n 2)) 1/2))) (sqrt PI)))))))))))))))))
  (- (- (/ (* +nan.0 (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (* k k)) (* +nan.0 (- (/ (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k) (/ (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (* (* k k) k))))))
  (- (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (/ k (pow PI (- 1/2 (* 1/2 k)))))) (* (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))) k) (/ +nan.0 k)))))
  (- (+ (* (sqrt PI) (+ (* 1/8 (* (* (* k k) (* (log n) (log n))) (exp (* (log (* n 2)) 1/2)))) (* 1/4 (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (log PI) (* k k)))))) (+ (+ (* (* 1/4 (* (* (exp (* (log (* n 2)) 1/2)) (log PI)) (* (* k k) (log n)))) (sqrt PI)) (+ (* 1/8 (+ (* (sqrt PI) (* (exp (* (log (* n 2)) 1/2)) (* (* k k) (* (log PI) (log PI))))) (* (* (log 2) (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (sqrt PI))))) (* (* (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (* k k) (log n))) (sqrt PI)) 1/4))) (* (exp (* (log (* n 2)) 1/2)) (sqrt PI)))) (* 1/2 (+ (* (exp (* (log (* n 2)) 1/2)) (+ (* (* (log PI) k) (sqrt PI)) (* (* k (log n)) (sqrt PI)))) (* (sqrt PI) (* (log 2) (* (exp (* (log (* n 2)) 1/2)) k))))))
  (* (exp (* (log (* n 2)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
  (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))))
8.393 * * * [progress]: adding candidates to table
10.135 * * [progress]: iteration 3 / 4
10.135 * * * [progress]: picking best candidate
10.158 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
10.158 * * * [progress]: localizing error
10.212 * * * [progress]: generating rewritten candidates
10.212 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
10.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1)
10.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1)
10.240 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.313 * * * [progress]: generating series expansions
10.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
10.313 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
10.313 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
10.313 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
10.313 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
10.313 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
10.313 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.313 * [taylor]: Taking taylor expansion of 1/2 in k
10.313 * [backup-simplify]: Simplify 1/2 into 1/2
10.313 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.313 * [taylor]: Taking taylor expansion of 1/2 in k
10.313 * [backup-simplify]: Simplify 1/2 into 1/2
10.313 * [taylor]: Taking taylor expansion of k in k
10.313 * [backup-simplify]: Simplify 0 into 0
10.313 * [backup-simplify]: Simplify 1 into 1
10.313 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
10.313 * [taylor]: Taking taylor expansion of (* 2 n) in k
10.313 * [taylor]: Taking taylor expansion of 2 in k
10.313 * [backup-simplify]: Simplify 2 into 2
10.313 * [taylor]: Taking taylor expansion of n in k
10.313 * [backup-simplify]: Simplify n into n
10.313 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
10.313 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
10.314 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.314 * [backup-simplify]: Simplify (- 0) into 0
10.314 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.314 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
10.314 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
10.314 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.314 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.315 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.315 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.315 * [taylor]: Taking taylor expansion of 1/2 in n
10.315 * [backup-simplify]: Simplify 1/2 into 1/2
10.315 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.315 * [taylor]: Taking taylor expansion of 1/2 in n
10.315 * [backup-simplify]: Simplify 1/2 into 1/2
10.315 * [taylor]: Taking taylor expansion of k in n
10.315 * [backup-simplify]: Simplify k into k
10.315 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.315 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.315 * [taylor]: Taking taylor expansion of 2 in n
10.315 * [backup-simplify]: Simplify 2 into 2
10.315 * [taylor]: Taking taylor expansion of n in n
10.315 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify 1 into 1
10.315 * [backup-simplify]: Simplify (* 2 0) into 0
10.315 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.316 * [backup-simplify]: Simplify (log 2) into (log 2)
10.316 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.316 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.316 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.316 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.317 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.317 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.317 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.317 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.317 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.317 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.317 * [taylor]: Taking taylor expansion of 1/2 in n
10.317 * [backup-simplify]: Simplify 1/2 into 1/2
10.317 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.317 * [taylor]: Taking taylor expansion of 1/2 in n
10.317 * [backup-simplify]: Simplify 1/2 into 1/2
10.317 * [taylor]: Taking taylor expansion of k in n
10.317 * [backup-simplify]: Simplify k into k
10.317 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.317 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.317 * [taylor]: Taking taylor expansion of 2 in n
10.317 * [backup-simplify]: Simplify 2 into 2
10.317 * [taylor]: Taking taylor expansion of n in n
10.317 * [backup-simplify]: Simplify 0 into 0
10.317 * [backup-simplify]: Simplify 1 into 1
10.318 * [backup-simplify]: Simplify (* 2 0) into 0
10.318 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.318 * [backup-simplify]: Simplify (log 2) into (log 2)
10.318 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.318 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.318 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.319 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.319 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.320 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.320 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
10.320 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
10.320 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
10.320 * [taylor]: Taking taylor expansion of (log 2) in k
10.320 * [taylor]: Taking taylor expansion of 2 in k
10.320 * [backup-simplify]: Simplify 2 into 2
10.320 * [backup-simplify]: Simplify (log 2) into (log 2)
10.320 * [taylor]: Taking taylor expansion of (log n) in k
10.320 * [taylor]: Taking taylor expansion of n in k
10.320 * [backup-simplify]: Simplify n into n
10.320 * [backup-simplify]: Simplify (log n) into (log n)
10.320 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.320 * [taylor]: Taking taylor expansion of 1/2 in k
10.320 * [backup-simplify]: Simplify 1/2 into 1/2
10.320 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.320 * [taylor]: Taking taylor expansion of 1/2 in k
10.320 * [backup-simplify]: Simplify 1/2 into 1/2
10.320 * [taylor]: Taking taylor expansion of k in k
10.320 * [backup-simplify]: Simplify 0 into 0
10.320 * [backup-simplify]: Simplify 1 into 1
10.321 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
10.321 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.321 * [backup-simplify]: Simplify (- 0) into 0
10.321 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.322 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
10.322 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.322 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.323 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
10.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.324 * [backup-simplify]: Simplify (- 0) into 0
10.324 * [backup-simplify]: Simplify (+ 0 0) into 0
10.325 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.325 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
10.326 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.326 * [taylor]: Taking taylor expansion of 0 in k
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify 0 into 0
10.326 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.327 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.327 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.329 * [backup-simplify]: Simplify (+ 0 0) into 0
10.329 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
10.331 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.332 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.334 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.341 * [backup-simplify]: Simplify (- 0) into 0
10.341 * [backup-simplify]: Simplify (+ 0 0) into 0
10.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.343 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
10.345 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.345 * [taylor]: Taking taylor expansion of 0 in k
10.345 * [backup-simplify]: Simplify 0 into 0
10.345 * [backup-simplify]: Simplify 0 into 0
10.345 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.347 * [backup-simplify]: Simplify (- 0) into 0
10.347 * [backup-simplify]: Simplify (+ 0 0) into 0
10.350 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.352 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.352 * [backup-simplify]: Simplify (+ 0 0) into 0
10.353 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
10.356 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.358 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.364 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
10.364 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
10.364 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
10.364 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.364 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
10.364 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
10.364 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.364 * [taylor]: Taking taylor expansion of 1/2 in k
10.364 * [backup-simplify]: Simplify 1/2 into 1/2
10.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.364 * [taylor]: Taking taylor expansion of 1/2 in k
10.364 * [backup-simplify]: Simplify 1/2 into 1/2
10.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.364 * [taylor]: Taking taylor expansion of k in k
10.364 * [backup-simplify]: Simplify 0 into 0
10.364 * [backup-simplify]: Simplify 1 into 1
10.365 * [backup-simplify]: Simplify (/ 1 1) into 1
10.365 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
10.365 * [taylor]: Taking taylor expansion of (/ 2 n) in k
10.365 * [taylor]: Taking taylor expansion of 2 in k
10.365 * [backup-simplify]: Simplify 2 into 2
10.365 * [taylor]: Taking taylor expansion of n in k
10.365 * [backup-simplify]: Simplify n into n
10.365 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
10.365 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
10.365 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.366 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.366 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.366 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
10.367 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
10.367 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.367 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.367 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.367 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.367 * [taylor]: Taking taylor expansion of 1/2 in n
10.367 * [backup-simplify]: Simplify 1/2 into 1/2
10.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.367 * [taylor]: Taking taylor expansion of 1/2 in n
10.367 * [backup-simplify]: Simplify 1/2 into 1/2
10.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.367 * [taylor]: Taking taylor expansion of k in n
10.367 * [backup-simplify]: Simplify k into k
10.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.367 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.367 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.367 * [taylor]: Taking taylor expansion of 2 in n
10.367 * [backup-simplify]: Simplify 2 into 2
10.367 * [taylor]: Taking taylor expansion of n in n
10.367 * [backup-simplify]: Simplify 0 into 0
10.367 * [backup-simplify]: Simplify 1 into 1
10.368 * [backup-simplify]: Simplify (/ 2 1) into 2
10.368 * [backup-simplify]: Simplify (log 2) into (log 2)
10.368 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.368 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.368 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.369 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.370 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.370 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.370 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.370 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.370 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.370 * [taylor]: Taking taylor expansion of 1/2 in n
10.370 * [backup-simplify]: Simplify 1/2 into 1/2
10.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.370 * [taylor]: Taking taylor expansion of 1/2 in n
10.370 * [backup-simplify]: Simplify 1/2 into 1/2
10.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.370 * [taylor]: Taking taylor expansion of k in n
10.370 * [backup-simplify]: Simplify k into k
10.370 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.370 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.371 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.371 * [taylor]: Taking taylor expansion of 2 in n
10.371 * [backup-simplify]: Simplify 2 into 2
10.371 * [taylor]: Taking taylor expansion of n in n
10.371 * [backup-simplify]: Simplify 0 into 0
10.371 * [backup-simplify]: Simplify 1 into 1
10.371 * [backup-simplify]: Simplify (/ 2 1) into 2
10.371 * [backup-simplify]: Simplify (log 2) into (log 2)
10.372 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.372 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.372 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.373 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.374 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.374 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
10.374 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
10.374 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.374 * [taylor]: Taking taylor expansion of 1/2 in k
10.374 * [backup-simplify]: Simplify 1/2 into 1/2
10.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.374 * [taylor]: Taking taylor expansion of 1/2 in k
10.374 * [backup-simplify]: Simplify 1/2 into 1/2
10.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.374 * [taylor]: Taking taylor expansion of k in k
10.374 * [backup-simplify]: Simplify 0 into 0
10.374 * [backup-simplify]: Simplify 1 into 1
10.375 * [backup-simplify]: Simplify (/ 1 1) into 1
10.375 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
10.375 * [taylor]: Taking taylor expansion of (log 2) in k
10.375 * [taylor]: Taking taylor expansion of 2 in k
10.375 * [backup-simplify]: Simplify 2 into 2
10.375 * [backup-simplify]: Simplify (log 2) into (log 2)
10.375 * [taylor]: Taking taylor expansion of (log n) in k
10.375 * [taylor]: Taking taylor expansion of n in k
10.375 * [backup-simplify]: Simplify n into n
10.375 * [backup-simplify]: Simplify (log n) into (log n)
10.376 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.376 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.377 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.377 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.377 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
10.378 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
10.378 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.379 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
10.381 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.383 * [backup-simplify]: Simplify (- 0) into 0
10.383 * [backup-simplify]: Simplify (+ 0 0) into 0
10.384 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.385 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
10.386 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.386 * [taylor]: Taking taylor expansion of 0 in k
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify 0 into 0
10.386 * [backup-simplify]: Simplify 0 into 0
10.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.392 * [backup-simplify]: Simplify (- 0) into 0
10.392 * [backup-simplify]: Simplify (+ 0 0) into 0
10.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.394 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
10.396 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.396 * [taylor]: Taking taylor expansion of 0 in k
10.396 * [backup-simplify]: Simplify 0 into 0
10.396 * [backup-simplify]: Simplify 0 into 0
10.396 * [backup-simplify]: Simplify 0 into 0
10.396 * [backup-simplify]: Simplify 0 into 0
10.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.403 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
10.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.405 * [backup-simplify]: Simplify (- 0) into 0
10.405 * [backup-simplify]: Simplify (+ 0 0) into 0
10.406 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.407 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
10.409 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.410 * [taylor]: Taking taylor expansion of 0 in k
10.410 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify 0 into 0
10.410 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
10.410 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
10.411 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
10.411 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.411 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
10.411 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
10.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.411 * [taylor]: Taking taylor expansion of 1/2 in k
10.411 * [backup-simplify]: Simplify 1/2 into 1/2
10.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.411 * [taylor]: Taking taylor expansion of k in k
10.411 * [backup-simplify]: Simplify 0 into 0
10.411 * [backup-simplify]: Simplify 1 into 1
10.411 * [backup-simplify]: Simplify (/ 1 1) into 1
10.411 * [taylor]: Taking taylor expansion of 1/2 in k
10.411 * [backup-simplify]: Simplify 1/2 into 1/2
10.411 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
10.411 * [taylor]: Taking taylor expansion of (/ -2 n) in k
10.411 * [taylor]: Taking taylor expansion of -2 in k
10.411 * [backup-simplify]: Simplify -2 into -2
10.411 * [taylor]: Taking taylor expansion of n in k
10.411 * [backup-simplify]: Simplify n into n
10.412 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
10.412 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
10.412 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.413 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
10.413 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
10.413 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.413 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.413 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.413 * [taylor]: Taking taylor expansion of 1/2 in n
10.413 * [backup-simplify]: Simplify 1/2 into 1/2
10.413 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.413 * [taylor]: Taking taylor expansion of k in n
10.413 * [backup-simplify]: Simplify k into k
10.413 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.413 * [taylor]: Taking taylor expansion of 1/2 in n
10.413 * [backup-simplify]: Simplify 1/2 into 1/2
10.413 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.413 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.413 * [taylor]: Taking taylor expansion of -2 in n
10.413 * [backup-simplify]: Simplify -2 into -2
10.413 * [taylor]: Taking taylor expansion of n in n
10.413 * [backup-simplify]: Simplify 0 into 0
10.413 * [backup-simplify]: Simplify 1 into 1
10.414 * [backup-simplify]: Simplify (/ -2 1) into -2
10.414 * [backup-simplify]: Simplify (log -2) into (log -2)
10.414 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.414 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.416 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.416 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.416 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.416 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.416 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.416 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.417 * [taylor]: Taking taylor expansion of 1/2 in n
10.417 * [backup-simplify]: Simplify 1/2 into 1/2
10.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.417 * [taylor]: Taking taylor expansion of k in n
10.417 * [backup-simplify]: Simplify k into k
10.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.417 * [taylor]: Taking taylor expansion of 1/2 in n
10.417 * [backup-simplify]: Simplify 1/2 into 1/2
10.417 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.417 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.417 * [taylor]: Taking taylor expansion of -2 in n
10.417 * [backup-simplify]: Simplify -2 into -2
10.417 * [taylor]: Taking taylor expansion of n in n
10.417 * [backup-simplify]: Simplify 0 into 0
10.417 * [backup-simplify]: Simplify 1 into 1
10.417 * [backup-simplify]: Simplify (/ -2 1) into -2
10.418 * [backup-simplify]: Simplify (log -2) into (log -2)
10.418 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.418 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.419 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.420 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.420 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
10.420 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
10.420 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.420 * [taylor]: Taking taylor expansion of 1/2 in k
10.420 * [backup-simplify]: Simplify 1/2 into 1/2
10.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.420 * [taylor]: Taking taylor expansion of k in k
10.420 * [backup-simplify]: Simplify 0 into 0
10.420 * [backup-simplify]: Simplify 1 into 1
10.421 * [backup-simplify]: Simplify (/ 1 1) into 1
10.421 * [taylor]: Taking taylor expansion of 1/2 in k
10.421 * [backup-simplify]: Simplify 1/2 into 1/2
10.421 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
10.421 * [taylor]: Taking taylor expansion of (log -2) in k
10.421 * [taylor]: Taking taylor expansion of -2 in k
10.421 * [backup-simplify]: Simplify -2 into -2
10.421 * [backup-simplify]: Simplify (log -2) into (log -2)
10.421 * [taylor]: Taking taylor expansion of (log n) in k
10.421 * [taylor]: Taking taylor expansion of n in k
10.421 * [backup-simplify]: Simplify n into n
10.421 * [backup-simplify]: Simplify (log n) into (log n)
10.422 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.422 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.422 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.423 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
10.423 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
10.424 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.424 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
10.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
10.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.427 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.428 * [backup-simplify]: Simplify (+ 0 0) into 0
10.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.429 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
10.430 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.430 * [taylor]: Taking taylor expansion of 0 in k
10.430 * [backup-simplify]: Simplify 0 into 0
10.430 * [backup-simplify]: Simplify 0 into 0
10.430 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
10.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.436 * [backup-simplify]: Simplify (+ 0 0) into 0
10.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.438 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
10.440 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.440 * [taylor]: Taking taylor expansion of 0 in k
10.440 * [backup-simplify]: Simplify 0 into 0
10.440 * [backup-simplify]: Simplify 0 into 0
10.440 * [backup-simplify]: Simplify 0 into 0
10.440 * [backup-simplify]: Simplify 0 into 0
10.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.446 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
10.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.447 * [backup-simplify]: Simplify (+ 0 0) into 0
10.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.448 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
10.449 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.449 * [taylor]: Taking taylor expansion of 0 in k
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
10.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1)
10.450 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
10.450 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
10.450 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.450 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.450 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.450 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.450 * [taylor]: Taking taylor expansion of 1/2 in k
10.450 * [backup-simplify]: Simplify 1/2 into 1/2
10.450 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.450 * [taylor]: Taking taylor expansion of 1/2 in k
10.450 * [backup-simplify]: Simplify 1/2 into 1/2
10.450 * [taylor]: Taking taylor expansion of k in k
10.450 * [backup-simplify]: Simplify 0 into 0
10.450 * [backup-simplify]: Simplify 1 into 1
10.450 * [taylor]: Taking taylor expansion of (log PI) in k
10.450 * [taylor]: Taking taylor expansion of PI in k
10.450 * [backup-simplify]: Simplify PI into PI
10.451 * [backup-simplify]: Simplify (log PI) into (log PI)
10.451 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.451 * [backup-simplify]: Simplify (- 0) into 0
10.451 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.452 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.453 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.453 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.453 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.453 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.453 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.453 * [taylor]: Taking taylor expansion of 1/2 in k
10.453 * [backup-simplify]: Simplify 1/2 into 1/2
10.453 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.453 * [taylor]: Taking taylor expansion of 1/2 in k
10.453 * [backup-simplify]: Simplify 1/2 into 1/2
10.453 * [taylor]: Taking taylor expansion of k in k
10.453 * [backup-simplify]: Simplify 0 into 0
10.453 * [backup-simplify]: Simplify 1 into 1
10.453 * [taylor]: Taking taylor expansion of (log PI) in k
10.453 * [taylor]: Taking taylor expansion of PI in k
10.453 * [backup-simplify]: Simplify PI into PI
10.454 * [backup-simplify]: Simplify (log PI) into (log PI)
10.454 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.454 * [backup-simplify]: Simplify (- 0) into 0
10.454 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.455 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.456 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.457 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
10.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.458 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.458 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.459 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
10.466 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
10.468 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
10.469 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.475 * [backup-simplify]: Simplify (- 0) into 0
10.475 * [backup-simplify]: Simplify (+ 0 0) into 0
10.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
10.483 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
10.485 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
10.489 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
10.489 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.489 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
10.489 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.489 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.489 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.489 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.489 * [taylor]: Taking taylor expansion of 1/2 in k
10.489 * [backup-simplify]: Simplify 1/2 into 1/2
10.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.489 * [taylor]: Taking taylor expansion of 1/2 in k
10.489 * [backup-simplify]: Simplify 1/2 into 1/2
10.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.489 * [taylor]: Taking taylor expansion of k in k
10.489 * [backup-simplify]: Simplify 0 into 0
10.489 * [backup-simplify]: Simplify 1 into 1
10.490 * [backup-simplify]: Simplify (/ 1 1) into 1
10.490 * [taylor]: Taking taylor expansion of (log PI) in k
10.490 * [taylor]: Taking taylor expansion of PI in k
10.490 * [backup-simplify]: Simplify PI into PI
10.490 * [backup-simplify]: Simplify (log PI) into (log PI)
10.490 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.490 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.491 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.491 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.492 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.492 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.492 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.492 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.492 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.492 * [taylor]: Taking taylor expansion of 1/2 in k
10.492 * [backup-simplify]: Simplify 1/2 into 1/2
10.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.492 * [taylor]: Taking taylor expansion of 1/2 in k
10.492 * [backup-simplify]: Simplify 1/2 into 1/2
10.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.492 * [taylor]: Taking taylor expansion of k in k
10.492 * [backup-simplify]: Simplify 0 into 0
10.492 * [backup-simplify]: Simplify 1 into 1
10.492 * [backup-simplify]: Simplify (/ 1 1) into 1
10.492 * [taylor]: Taking taylor expansion of (log PI) in k
10.492 * [taylor]: Taking taylor expansion of PI in k
10.492 * [backup-simplify]: Simplify PI into PI
10.492 * [backup-simplify]: Simplify (log PI) into (log PI)
10.493 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.493 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.493 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.494 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.494 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.494 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.494 * [backup-simplify]: Simplify 0 into 0
10.494 * [backup-simplify]: Simplify 0 into 0
10.494 * [backup-simplify]: Simplify 0 into 0
10.494 * [backup-simplify]: Simplify 0 into 0
10.494 * [backup-simplify]: Simplify 0 into 0
10.495 * [backup-simplify]: Simplify 0 into 0
10.495 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
10.495 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.495 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
10.495 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.495 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.495 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.495 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.495 * [taylor]: Taking taylor expansion of 1/2 in k
10.495 * [backup-simplify]: Simplify 1/2 into 1/2
10.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.495 * [taylor]: Taking taylor expansion of k in k
10.495 * [backup-simplify]: Simplify 0 into 0
10.495 * [backup-simplify]: Simplify 1 into 1
10.495 * [backup-simplify]: Simplify (/ 1 1) into 1
10.495 * [taylor]: Taking taylor expansion of 1/2 in k
10.495 * [backup-simplify]: Simplify 1/2 into 1/2
10.495 * [taylor]: Taking taylor expansion of (log PI) in k
10.495 * [taylor]: Taking taylor expansion of PI in k
10.495 * [backup-simplify]: Simplify PI into PI
10.496 * [backup-simplify]: Simplify (log PI) into (log PI)
10.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.496 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.497 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.497 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.497 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.497 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.497 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.497 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.497 * [taylor]: Taking taylor expansion of 1/2 in k
10.497 * [backup-simplify]: Simplify 1/2 into 1/2
10.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.497 * [taylor]: Taking taylor expansion of k in k
10.497 * [backup-simplify]: Simplify 0 into 0
10.497 * [backup-simplify]: Simplify 1 into 1
10.497 * [backup-simplify]: Simplify (/ 1 1) into 1
10.497 * [taylor]: Taking taylor expansion of 1/2 in k
10.497 * [backup-simplify]: Simplify 1/2 into 1/2
10.497 * [taylor]: Taking taylor expansion of (log PI) in k
10.498 * [taylor]: Taking taylor expansion of PI in k
10.498 * [backup-simplify]: Simplify PI into PI
10.498 * [backup-simplify]: Simplify (log PI) into (log PI)
10.498 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.498 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.499 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.499 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.499 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.499 * [backup-simplify]: Simplify 0 into 0
10.499 * [backup-simplify]: Simplify 0 into 0
10.499 * [backup-simplify]: Simplify 0 into 0
10.499 * [backup-simplify]: Simplify 0 into 0
10.500 * [backup-simplify]: Simplify 0 into 0
10.500 * [backup-simplify]: Simplify 0 into 0
10.500 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
10.500 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1)
10.500 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
10.500 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
10.500 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.500 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.500 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.500 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.500 * [taylor]: Taking taylor expansion of 1/2 in k
10.500 * [backup-simplify]: Simplify 1/2 into 1/2
10.500 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.500 * [taylor]: Taking taylor expansion of 1/2 in k
10.500 * [backup-simplify]: Simplify 1/2 into 1/2
10.500 * [taylor]: Taking taylor expansion of k in k
10.500 * [backup-simplify]: Simplify 0 into 0
10.500 * [backup-simplify]: Simplify 1 into 1
10.500 * [taylor]: Taking taylor expansion of (log PI) in k
10.500 * [taylor]: Taking taylor expansion of PI in k
10.500 * [backup-simplify]: Simplify PI into PI
10.500 * [backup-simplify]: Simplify (log PI) into (log PI)
10.501 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.501 * [backup-simplify]: Simplify (- 0) into 0
10.501 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.502 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.503 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.503 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.503 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.503 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.503 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.503 * [taylor]: Taking taylor expansion of 1/2 in k
10.503 * [backup-simplify]: Simplify 1/2 into 1/2
10.503 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.503 * [taylor]: Taking taylor expansion of 1/2 in k
10.503 * [backup-simplify]: Simplify 1/2 into 1/2
10.503 * [taylor]: Taking taylor expansion of k in k
10.503 * [backup-simplify]: Simplify 0 into 0
10.503 * [backup-simplify]: Simplify 1 into 1
10.503 * [taylor]: Taking taylor expansion of (log PI) in k
10.503 * [taylor]: Taking taylor expansion of PI in k
10.503 * [backup-simplify]: Simplify PI into PI
10.503 * [backup-simplify]: Simplify (log PI) into (log PI)
10.503 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.504 * [backup-simplify]: Simplify (- 0) into 0
10.504 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.505 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.506 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.507 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
10.508 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.508 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.508 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.508 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
10.518 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
10.520 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
10.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.524 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.524 * [backup-simplify]: Simplify (- 0) into 0
10.525 * [backup-simplify]: Simplify (+ 0 0) into 0
10.526 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
10.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
10.541 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
10.548 * [backup-simplify]: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
10.548 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.548 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
10.548 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.548 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.548 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.548 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.548 * [taylor]: Taking taylor expansion of 1/2 in k
10.548 * [backup-simplify]: Simplify 1/2 into 1/2
10.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.548 * [taylor]: Taking taylor expansion of 1/2 in k
10.548 * [backup-simplify]: Simplify 1/2 into 1/2
10.548 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.548 * [taylor]: Taking taylor expansion of k in k
10.548 * [backup-simplify]: Simplify 0 into 0
10.548 * [backup-simplify]: Simplify 1 into 1
10.549 * [backup-simplify]: Simplify (/ 1 1) into 1
10.549 * [taylor]: Taking taylor expansion of (log PI) in k
10.549 * [taylor]: Taking taylor expansion of PI in k
10.549 * [backup-simplify]: Simplify PI into PI
10.549 * [backup-simplify]: Simplify (log PI) into (log PI)
10.550 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.550 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.550 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.551 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.552 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.552 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.552 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.552 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.552 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.552 * [taylor]: Taking taylor expansion of 1/2 in k
10.552 * [backup-simplify]: Simplify 1/2 into 1/2
10.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.552 * [taylor]: Taking taylor expansion of 1/2 in k
10.552 * [backup-simplify]: Simplify 1/2 into 1/2
10.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.552 * [taylor]: Taking taylor expansion of k in k
10.552 * [backup-simplify]: Simplify 0 into 0
10.552 * [backup-simplify]: Simplify 1 into 1
10.553 * [backup-simplify]: Simplify (/ 1 1) into 1
10.553 * [taylor]: Taking taylor expansion of (log PI) in k
10.553 * [taylor]: Taking taylor expansion of PI in k
10.553 * [backup-simplify]: Simplify PI into PI
10.553 * [backup-simplify]: Simplify (log PI) into (log PI)
10.554 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.554 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.555 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.556 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.556 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.556 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.556 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
10.557 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.557 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
10.557 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.557 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.557 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.557 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.557 * [taylor]: Taking taylor expansion of 1/2 in k
10.557 * [backup-simplify]: Simplify 1/2 into 1/2
10.557 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.557 * [taylor]: Taking taylor expansion of k in k
10.557 * [backup-simplify]: Simplify 0 into 0
10.557 * [backup-simplify]: Simplify 1 into 1
10.558 * [backup-simplify]: Simplify (/ 1 1) into 1
10.558 * [taylor]: Taking taylor expansion of 1/2 in k
10.558 * [backup-simplify]: Simplify 1/2 into 1/2
10.558 * [taylor]: Taking taylor expansion of (log PI) in k
10.558 * [taylor]: Taking taylor expansion of PI in k
10.558 * [backup-simplify]: Simplify PI into PI
10.558 * [backup-simplify]: Simplify (log PI) into (log PI)
10.558 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.559 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.560 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.560 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.560 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.560 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.560 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.560 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.560 * [taylor]: Taking taylor expansion of 1/2 in k
10.561 * [backup-simplify]: Simplify 1/2 into 1/2
10.561 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.561 * [taylor]: Taking taylor expansion of k in k
10.561 * [backup-simplify]: Simplify 0 into 0
10.561 * [backup-simplify]: Simplify 1 into 1
10.561 * [backup-simplify]: Simplify (/ 1 1) into 1
10.561 * [taylor]: Taking taylor expansion of 1/2 in k
10.561 * [backup-simplify]: Simplify 1/2 into 1/2
10.561 * [taylor]: Taking taylor expansion of (log PI) in k
10.561 * [taylor]: Taking taylor expansion of PI in k
10.561 * [backup-simplify]: Simplify PI into PI
10.561 * [backup-simplify]: Simplify (log PI) into (log PI)
10.562 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.562 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.563 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.564 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.564 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify 0 into 0
10.564 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
10.564 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.565 * [backup-simplify]: Simplify (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
10.565 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
10.565 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
10.565 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
10.565 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
10.565 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
10.565 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
10.565 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.565 * [taylor]: Taking taylor expansion of 1/2 in k
10.565 * [backup-simplify]: Simplify 1/2 into 1/2
10.565 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.565 * [taylor]: Taking taylor expansion of 1/2 in k
10.565 * [backup-simplify]: Simplify 1/2 into 1/2
10.565 * [taylor]: Taking taylor expansion of k in k
10.565 * [backup-simplify]: Simplify 0 into 0
10.565 * [backup-simplify]: Simplify 1 into 1
10.565 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
10.565 * [taylor]: Taking taylor expansion of (* 2 n) in k
10.565 * [taylor]: Taking taylor expansion of 2 in k
10.565 * [backup-simplify]: Simplify 2 into 2
10.565 * [taylor]: Taking taylor expansion of n in k
10.565 * [backup-simplify]: Simplify n into n
10.565 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
10.565 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
10.566 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.566 * [backup-simplify]: Simplify (- 0) into 0
10.566 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.566 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
10.567 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
10.567 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.567 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.567 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.567 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.567 * [taylor]: Taking taylor expansion of 1/2 in k
10.567 * [backup-simplify]: Simplify 1/2 into 1/2
10.567 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.567 * [taylor]: Taking taylor expansion of 1/2 in k
10.567 * [backup-simplify]: Simplify 1/2 into 1/2
10.567 * [taylor]: Taking taylor expansion of k in k
10.567 * [backup-simplify]: Simplify 0 into 0
10.567 * [backup-simplify]: Simplify 1 into 1
10.567 * [taylor]: Taking taylor expansion of (log PI) in k
10.567 * [taylor]: Taking taylor expansion of PI in k
10.567 * [backup-simplify]: Simplify PI into PI
10.567 * [backup-simplify]: Simplify (log PI) into (log PI)
10.568 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.568 * [backup-simplify]: Simplify (- 0) into 0
10.568 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.569 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.571 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.571 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.571 * [taylor]: Taking taylor expansion of k in k
10.571 * [backup-simplify]: Simplify 0 into 0
10.571 * [backup-simplify]: Simplify 1 into 1
10.571 * [backup-simplify]: Simplify (/ 1 1) into 1
10.572 * [backup-simplify]: Simplify (sqrt 0) into 0
10.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.573 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
10.573 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
10.573 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.573 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.573 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.573 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.573 * [taylor]: Taking taylor expansion of 1/2 in n
10.573 * [backup-simplify]: Simplify 1/2 into 1/2
10.573 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.573 * [taylor]: Taking taylor expansion of 1/2 in n
10.573 * [backup-simplify]: Simplify 1/2 into 1/2
10.573 * [taylor]: Taking taylor expansion of k in n
10.573 * [backup-simplify]: Simplify k into k
10.573 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.573 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.573 * [taylor]: Taking taylor expansion of 2 in n
10.573 * [backup-simplify]: Simplify 2 into 2
10.573 * [taylor]: Taking taylor expansion of n in n
10.573 * [backup-simplify]: Simplify 0 into 0
10.573 * [backup-simplify]: Simplify 1 into 1
10.573 * [backup-simplify]: Simplify (* 2 0) into 0
10.574 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.574 * [backup-simplify]: Simplify (log 2) into (log 2)
10.574 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.574 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.574 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.575 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.575 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.575 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.575 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
10.575 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
10.575 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
10.575 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.575 * [taylor]: Taking taylor expansion of 1/2 in n
10.575 * [backup-simplify]: Simplify 1/2 into 1/2
10.575 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.575 * [taylor]: Taking taylor expansion of 1/2 in n
10.575 * [backup-simplify]: Simplify 1/2 into 1/2
10.575 * [taylor]: Taking taylor expansion of k in n
10.575 * [backup-simplify]: Simplify k into k
10.576 * [taylor]: Taking taylor expansion of (log PI) in n
10.576 * [taylor]: Taking taylor expansion of PI in n
10.576 * [backup-simplify]: Simplify PI into PI
10.576 * [backup-simplify]: Simplify (log PI) into (log PI)
10.576 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.576 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.576 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.576 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
10.577 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
10.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.577 * [taylor]: Taking taylor expansion of k in n
10.577 * [backup-simplify]: Simplify k into k
10.577 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.577 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.577 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
10.577 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
10.577 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.577 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.577 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.577 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.577 * [taylor]: Taking taylor expansion of 1/2 in n
10.577 * [backup-simplify]: Simplify 1/2 into 1/2
10.577 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.577 * [taylor]: Taking taylor expansion of 1/2 in n
10.577 * [backup-simplify]: Simplify 1/2 into 1/2
10.577 * [taylor]: Taking taylor expansion of k in n
10.577 * [backup-simplify]: Simplify k into k
10.577 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.577 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.577 * [taylor]: Taking taylor expansion of 2 in n
10.577 * [backup-simplify]: Simplify 2 into 2
10.577 * [taylor]: Taking taylor expansion of n in n
10.577 * [backup-simplify]: Simplify 0 into 0
10.577 * [backup-simplify]: Simplify 1 into 1
10.578 * [backup-simplify]: Simplify (* 2 0) into 0
10.578 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.578 * [backup-simplify]: Simplify (log 2) into (log 2)
10.578 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.578 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.578 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.579 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.580 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.580 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
10.580 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
10.580 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
10.580 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.580 * [taylor]: Taking taylor expansion of 1/2 in n
10.580 * [backup-simplify]: Simplify 1/2 into 1/2
10.580 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.580 * [taylor]: Taking taylor expansion of 1/2 in n
10.580 * [backup-simplify]: Simplify 1/2 into 1/2
10.580 * [taylor]: Taking taylor expansion of k in n
10.580 * [backup-simplify]: Simplify k into k
10.580 * [taylor]: Taking taylor expansion of (log PI) in n
10.580 * [taylor]: Taking taylor expansion of PI in n
10.580 * [backup-simplify]: Simplify PI into PI
10.580 * [backup-simplify]: Simplify (log PI) into (log PI)
10.580 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.580 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.580 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.581 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
10.581 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
10.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.581 * [taylor]: Taking taylor expansion of k in n
10.581 * [backup-simplify]: Simplify k into k
10.581 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.581 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.582 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
10.582 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
10.582 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
10.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.582 * [taylor]: Taking taylor expansion of k in k
10.582 * [backup-simplify]: Simplify 0 into 0
10.582 * [backup-simplify]: Simplify 1 into 1
10.582 * [backup-simplify]: Simplify (/ 1 1) into 1
10.583 * [backup-simplify]: Simplify (sqrt 0) into 0
10.584 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.584 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
10.584 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
10.584 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
10.584 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
10.584 * [taylor]: Taking taylor expansion of (log 2) in k
10.584 * [taylor]: Taking taylor expansion of 2 in k
10.584 * [backup-simplify]: Simplify 2 into 2
10.584 * [backup-simplify]: Simplify (log 2) into (log 2)
10.584 * [taylor]: Taking taylor expansion of (log n) in k
10.584 * [taylor]: Taking taylor expansion of n in k
10.584 * [backup-simplify]: Simplify n into n
10.584 * [backup-simplify]: Simplify (log n) into (log n)
10.584 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.584 * [taylor]: Taking taylor expansion of 1/2 in k
10.584 * [backup-simplify]: Simplify 1/2 into 1/2
10.584 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.584 * [taylor]: Taking taylor expansion of 1/2 in k
10.584 * [backup-simplify]: Simplify 1/2 into 1/2
10.584 * [taylor]: Taking taylor expansion of k in k
10.584 * [backup-simplify]: Simplify 0 into 0
10.584 * [backup-simplify]: Simplify 1 into 1
10.585 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
10.585 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.585 * [backup-simplify]: Simplify (- 0) into 0
10.585 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.586 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
10.586 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.586 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
10.586 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
10.586 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
10.586 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.586 * [taylor]: Taking taylor expansion of 1/2 in k
10.586 * [backup-simplify]: Simplify 1/2 into 1/2
10.586 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.586 * [taylor]: Taking taylor expansion of 1/2 in k
10.586 * [backup-simplify]: Simplify 1/2 into 1/2
10.586 * [taylor]: Taking taylor expansion of k in k
10.586 * [backup-simplify]: Simplify 0 into 0
10.586 * [backup-simplify]: Simplify 1 into 1
10.586 * [taylor]: Taking taylor expansion of (log PI) in k
10.586 * [taylor]: Taking taylor expansion of PI in k
10.586 * [backup-simplify]: Simplify PI into PI
10.587 * [backup-simplify]: Simplify (log PI) into (log PI)
10.587 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.593 * [backup-simplify]: Simplify (- 0) into 0
10.593 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.594 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.595 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
10.596 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
10.596 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
10.596 * [backup-simplify]: Simplify 0 into 0
10.597 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.598 * [backup-simplify]: Simplify (- 0) into 0
10.598 * [backup-simplify]: Simplify (+ 0 0) into 0
10.599 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
10.599 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
10.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
10.601 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.601 * [backup-simplify]: Simplify (- 0) into 0
10.602 * [backup-simplify]: Simplify (+ 0 0) into 0
10.602 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.602 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
10.603 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.604 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
10.604 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
10.604 * [taylor]: Taking taylor expansion of 0 in k
10.604 * [backup-simplify]: Simplify 0 into 0
10.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.606 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.606 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.606 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
10.615 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
10.616 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.617 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.617 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.619 * [backup-simplify]: Simplify (+ 0 0) into 0
10.620 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
10.621 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.626 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
10.630 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
10.631 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
10.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.632 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
10.635 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.636 * [backup-simplify]: Simplify (- 0) into 0
10.636 * [backup-simplify]: Simplify (+ 0 0) into 0
10.637 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
10.639 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.642 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.643 * [backup-simplify]: Simplify (- 0) into 0
10.644 * [backup-simplify]: Simplify (+ 0 0) into 0
10.644 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.645 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
10.647 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.648 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
10.649 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
10.649 * [taylor]: Taking taylor expansion of 0 in k
10.649 * [backup-simplify]: Simplify 0 into 0
10.649 * [backup-simplify]: Simplify 0 into 0
10.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.653 * [backup-simplify]: Simplify (- 0) into 0
10.653 * [backup-simplify]: Simplify (+ 0 0) into 0
10.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
10.665 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
10.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.666 * [backup-simplify]: Simplify (- 0) into 0
10.667 * [backup-simplify]: Simplify (+ 0 0) into 0
10.669 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.671 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.671 * [backup-simplify]: Simplify (+ 0 0) into 0
10.672 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
10.674 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.684 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
10.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.688 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.701 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
10.706 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
10.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
10.718 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
10.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
10.719 * [backup-simplify]: Simplify (- 0) into 0
10.720 * [backup-simplify]: Simplify (+ 0 0) into 0
10.721 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
10.723 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.724 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
10.729 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
10.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
10.730 * [backup-simplify]: Simplify (- 0) into 0
10.730 * [backup-simplify]: Simplify (+ 0 0) into 0
10.731 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.732 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
10.734 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.736 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
10.737 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
10.737 * [taylor]: Taking taylor expansion of 0 in k
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.737 * [backup-simplify]: Simplify 0 into 0
10.742 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
10.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.743 * [backup-simplify]: Simplify (- 0) into 0
10.744 * [backup-simplify]: Simplify (+ 0 0) into 0
10.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
10.759 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI)))
10.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.760 * [backup-simplify]: Simplify (- 0) into 0
10.761 * [backup-simplify]: Simplify (+ 0 0) into 0
10.765 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
10.767 * [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
10.768 * [backup-simplify]: Simplify (+ 0 0) into 0
10.769 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
10.772 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
10.790 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
10.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.831 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
10.856 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
10.876 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
10.876 * [backup-simplify]: Simplify (/ (* (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (* (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2)))))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
10.876 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
10.876 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
10.876 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
10.876 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.876 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.876 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.877 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.877 * [taylor]: Taking taylor expansion of 1/2 in k
10.877 * [backup-simplify]: Simplify 1/2 into 1/2
10.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.877 * [taylor]: Taking taylor expansion of 1/2 in k
10.877 * [backup-simplify]: Simplify 1/2 into 1/2
10.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.877 * [taylor]: Taking taylor expansion of k in k
10.877 * [backup-simplify]: Simplify 0 into 0
10.877 * [backup-simplify]: Simplify 1 into 1
10.877 * [backup-simplify]: Simplify (/ 1 1) into 1
10.877 * [taylor]: Taking taylor expansion of (log PI) in k
10.877 * [taylor]: Taking taylor expansion of PI in k
10.877 * [backup-simplify]: Simplify PI into PI
10.877 * [backup-simplify]: Simplify (log PI) into (log PI)
10.878 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.878 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.878 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.879 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.879 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.879 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.879 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
10.879 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
10.879 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.879 * [taylor]: Taking taylor expansion of 1/2 in k
10.879 * [backup-simplify]: Simplify 1/2 into 1/2
10.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.879 * [taylor]: Taking taylor expansion of 1/2 in k
10.879 * [backup-simplify]: Simplify 1/2 into 1/2
10.879 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.879 * [taylor]: Taking taylor expansion of k in k
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.880 * [backup-simplify]: Simplify (/ 1 1) into 1
10.880 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
10.880 * [taylor]: Taking taylor expansion of (/ 2 n) in k
10.880 * [taylor]: Taking taylor expansion of 2 in k
10.880 * [backup-simplify]: Simplify 2 into 2
10.880 * [taylor]: Taking taylor expansion of n in k
10.880 * [backup-simplify]: Simplify n into n
10.880 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
10.880 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
10.880 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.880 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.881 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.881 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
10.881 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
10.881 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.881 * [taylor]: Taking taylor expansion of k in k
10.881 * [backup-simplify]: Simplify 0 into 0
10.881 * [backup-simplify]: Simplify 1 into 1
10.881 * [backup-simplify]: Simplify (sqrt 0) into 0
10.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.882 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
10.882 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.882 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
10.882 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
10.882 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
10.882 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.882 * [taylor]: Taking taylor expansion of 1/2 in n
10.882 * [backup-simplify]: Simplify 1/2 into 1/2
10.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.882 * [taylor]: Taking taylor expansion of 1/2 in n
10.882 * [backup-simplify]: Simplify 1/2 into 1/2
10.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.882 * [taylor]: Taking taylor expansion of k in n
10.882 * [backup-simplify]: Simplify k into k
10.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.882 * [taylor]: Taking taylor expansion of (log PI) in n
10.882 * [taylor]: Taking taylor expansion of PI in n
10.882 * [backup-simplify]: Simplify PI into PI
10.883 * [backup-simplify]: Simplify (log PI) into (log PI)
10.883 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.883 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.883 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.883 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
10.883 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.883 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.883 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.883 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.883 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.884 * [taylor]: Taking taylor expansion of 1/2 in n
10.884 * [backup-simplify]: Simplify 1/2 into 1/2
10.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.884 * [taylor]: Taking taylor expansion of 1/2 in n
10.884 * [backup-simplify]: Simplify 1/2 into 1/2
10.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.884 * [taylor]: Taking taylor expansion of k in n
10.884 * [backup-simplify]: Simplify k into k
10.884 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.884 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.884 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.884 * [taylor]: Taking taylor expansion of 2 in n
10.884 * [backup-simplify]: Simplify 2 into 2
10.884 * [taylor]: Taking taylor expansion of n in n
10.884 * [backup-simplify]: Simplify 0 into 0
10.884 * [backup-simplify]: Simplify 1 into 1
10.884 * [backup-simplify]: Simplify (/ 2 1) into 2
10.884 * [backup-simplify]: Simplify (log 2) into (log 2)
10.884 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.884 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.884 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.885 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.885 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.886 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.886 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.886 * [taylor]: Taking taylor expansion of k in n
10.886 * [backup-simplify]: Simplify k into k
10.886 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.886 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
10.886 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
10.886 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
10.886 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
10.886 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
10.886 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.886 * [taylor]: Taking taylor expansion of 1/2 in n
10.886 * [backup-simplify]: Simplify 1/2 into 1/2
10.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.886 * [taylor]: Taking taylor expansion of 1/2 in n
10.886 * [backup-simplify]: Simplify 1/2 into 1/2
10.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.886 * [taylor]: Taking taylor expansion of k in n
10.886 * [backup-simplify]: Simplify k into k
10.886 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.886 * [taylor]: Taking taylor expansion of (log PI) in n
10.886 * [taylor]: Taking taylor expansion of PI in n
10.886 * [backup-simplify]: Simplify PI into PI
10.886 * [backup-simplify]: Simplify (log PI) into (log PI)
10.886 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.886 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.887 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.887 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
10.887 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.887 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.887 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.887 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.887 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.887 * [taylor]: Taking taylor expansion of 1/2 in n
10.887 * [backup-simplify]: Simplify 1/2 into 1/2
10.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.887 * [taylor]: Taking taylor expansion of 1/2 in n
10.887 * [backup-simplify]: Simplify 1/2 into 1/2
10.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.888 * [taylor]: Taking taylor expansion of k in n
10.888 * [backup-simplify]: Simplify k into k
10.888 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.888 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.888 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.888 * [taylor]: Taking taylor expansion of 2 in n
10.888 * [backup-simplify]: Simplify 2 into 2
10.888 * [taylor]: Taking taylor expansion of n in n
10.888 * [backup-simplify]: Simplify 0 into 0
10.888 * [backup-simplify]: Simplify 1 into 1
10.888 * [backup-simplify]: Simplify (/ 2 1) into 2
10.888 * [backup-simplify]: Simplify (log 2) into (log 2)
10.888 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.888 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.888 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.889 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.890 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.890 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.890 * [taylor]: Taking taylor expansion of k in n
10.890 * [backup-simplify]: Simplify k into k
10.890 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.890 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
10.891 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
10.891 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
10.891 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.891 * [taylor]: Taking taylor expansion of k in k
10.891 * [backup-simplify]: Simplify 0 into 0
10.891 * [backup-simplify]: Simplify 1 into 1
10.891 * [backup-simplify]: Simplify (sqrt 0) into 0
10.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.892 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
10.892 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
10.892 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
10.892 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
10.892 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.892 * [taylor]: Taking taylor expansion of 1/2 in k
10.892 * [backup-simplify]: Simplify 1/2 into 1/2
10.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.892 * [taylor]: Taking taylor expansion of 1/2 in k
10.892 * [backup-simplify]: Simplify 1/2 into 1/2
10.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.892 * [taylor]: Taking taylor expansion of k in k
10.892 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify 1 into 1
10.892 * [backup-simplify]: Simplify (/ 1 1) into 1
10.892 * [taylor]: Taking taylor expansion of (log PI) in k
10.892 * [taylor]: Taking taylor expansion of PI in k
10.892 * [backup-simplify]: Simplify PI into PI
10.893 * [backup-simplify]: Simplify (log PI) into (log PI)
10.893 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.893 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.893 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.894 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
10.894 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
10.894 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
10.894 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
10.894 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.894 * [taylor]: Taking taylor expansion of 1/2 in k
10.894 * [backup-simplify]: Simplify 1/2 into 1/2
10.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.894 * [taylor]: Taking taylor expansion of 1/2 in k
10.894 * [backup-simplify]: Simplify 1/2 into 1/2
10.894 * [taylor]: Taking taylor expansion of (/ 1 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
10.895 * [backup-simplify]: Simplify (/ 1 1) into 1
10.895 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
10.895 * [taylor]: Taking taylor expansion of (log 2) in k
10.895 * [taylor]: Taking taylor expansion of 2 in k
10.895 * [backup-simplify]: Simplify 2 into 2
10.895 * [backup-simplify]: Simplify (log 2) into (log 2)
10.895 * [taylor]: Taking taylor expansion of (log n) in k
10.895 * [taylor]: Taking taylor expansion of n in k
10.895 * [backup-simplify]: Simplify n into n
10.895 * [backup-simplify]: Simplify (log n) into (log n)
10.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.896 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.896 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.896 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.896 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
10.896 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
10.897 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.897 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
10.898 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
10.898 * [backup-simplify]: Simplify 0 into 0
10.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
10.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.900 * [backup-simplify]: Simplify (- 0) into 0
10.900 * [backup-simplify]: Simplify (+ 0 0) into 0
10.900 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.901 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
10.901 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.902 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.903 * [backup-simplify]: Simplify (- 0) into 0
10.903 * [backup-simplify]: Simplify (+ 0 0) into 0
10.904 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
10.904 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
10.905 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
10.906 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
10.906 * [taylor]: Taking taylor expansion of 0 in k
10.906 * [backup-simplify]: Simplify 0 into 0
10.906 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
10.908 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.909 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
10.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.911 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.912 * [backup-simplify]: Simplify (- 0) into 0
10.912 * [backup-simplify]: Simplify (+ 0 0) into 0
10.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.913 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
10.914 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.916 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.917 * [backup-simplify]: Simplify (- 0) into 0
10.917 * [backup-simplify]: Simplify (+ 0 0) into 0
10.918 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
10.919 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.919 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
10.920 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
10.920 * [taylor]: Taking taylor expansion of 0 in k
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify 0 into 0
10.920 * [backup-simplify]: Simplify 0 into 0
10.921 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
10.923 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.924 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
10.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.932 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
10.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.935 * [backup-simplify]: Simplify (- 0) into 0
10.935 * [backup-simplify]: Simplify (+ 0 0) into 0
10.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.937 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
10.940 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.945 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0
10.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.947 * [backup-simplify]: Simplify (- 0) into 0
10.947 * [backup-simplify]: Simplify (+ 0 0) into 0
10.949 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
10.951 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.952 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
10.954 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
10.954 * [taylor]: Taking taylor expansion of 0 in k
10.954 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify 0 into 0
10.954 * [backup-simplify]: Simplify 0 into 0
10.955 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
10.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.962 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
10.965 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
10.966 * [backup-simplify]: Simplify (/ (* (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (* (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
10.966 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
10.966 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
10.966 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
10.966 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.966 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
10.966 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
10.966 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.966 * [taylor]: Taking taylor expansion of 1/2 in k
10.966 * [backup-simplify]: Simplify 1/2 into 1/2
10.966 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.966 * [taylor]: Taking taylor expansion of k in k
10.966 * [backup-simplify]: Simplify 0 into 0
10.967 * [backup-simplify]: Simplify 1 into 1
10.967 * [backup-simplify]: Simplify (/ 1 1) into 1
10.967 * [taylor]: Taking taylor expansion of 1/2 in k
10.967 * [backup-simplify]: Simplify 1/2 into 1/2
10.967 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
10.967 * [taylor]: Taking taylor expansion of (/ -2 n) in k
10.967 * [taylor]: Taking taylor expansion of -2 in k
10.967 * [backup-simplify]: Simplify -2 into -2
10.967 * [taylor]: Taking taylor expansion of n in k
10.967 * [backup-simplify]: Simplify n into n
10.967 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
10.967 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
10.968 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.968 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.968 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
10.969 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
10.969 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.969 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.969 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.969 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.969 * [taylor]: Taking taylor expansion of 1/2 in k
10.969 * [backup-simplify]: Simplify 1/2 into 1/2
10.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.969 * [taylor]: Taking taylor expansion of k in k
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify 1 into 1
10.969 * [backup-simplify]: Simplify (/ 1 1) into 1
10.969 * [taylor]: Taking taylor expansion of 1/2 in k
10.969 * [backup-simplify]: Simplify 1/2 into 1/2
10.969 * [taylor]: Taking taylor expansion of (log PI) in k
10.969 * [taylor]: Taking taylor expansion of PI in k
10.969 * [backup-simplify]: Simplify PI into PI
10.970 * [backup-simplify]: Simplify (log PI) into (log PI)
10.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.971 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.972 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
10.972 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.972 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
10.972 * [taylor]: Taking taylor expansion of (/ -1 k) in k
10.972 * [taylor]: Taking taylor expansion of -1 in k
10.973 * [backup-simplify]: Simplify -1 into -1
10.973 * [taylor]: Taking taylor expansion of k in k
10.973 * [backup-simplify]: Simplify 0 into 0
10.973 * [backup-simplify]: Simplify 1 into 1
10.973 * [backup-simplify]: Simplify (/ -1 1) into -1
10.973 * [backup-simplify]: Simplify (sqrt 0) into 0
10.975 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
10.975 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
10.975 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
10.975 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
10.976 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.976 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.976 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.976 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.976 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.976 * [taylor]: Taking taylor expansion of 1/2 in n
10.976 * [backup-simplify]: Simplify 1/2 into 1/2
10.976 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.976 * [taylor]: Taking taylor expansion of k in n
10.976 * [backup-simplify]: Simplify k into k
10.976 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.976 * [taylor]: Taking taylor expansion of 1/2 in n
10.976 * [backup-simplify]: Simplify 1/2 into 1/2
10.976 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.976 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.976 * [taylor]: Taking taylor expansion of -2 in n
10.976 * [backup-simplify]: Simplify -2 into -2
10.976 * [taylor]: Taking taylor expansion of n in n
10.976 * [backup-simplify]: Simplify 0 into 0
10.976 * [backup-simplify]: Simplify 1 into 1
10.977 * [backup-simplify]: Simplify (/ -2 1) into -2
10.977 * [backup-simplify]: Simplify (log -2) into (log -2)
10.977 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.977 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.979 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.979 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.979 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.979 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
10.979 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
10.979 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.979 * [taylor]: Taking taylor expansion of 1/2 in n
10.979 * [backup-simplify]: Simplify 1/2 into 1/2
10.979 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.979 * [taylor]: Taking taylor expansion of k in n
10.979 * [backup-simplify]: Simplify k into k
10.979 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.979 * [taylor]: Taking taylor expansion of 1/2 in n
10.979 * [backup-simplify]: Simplify 1/2 into 1/2
10.980 * [taylor]: Taking taylor expansion of (log PI) in n
10.980 * [taylor]: Taking taylor expansion of PI in n
10.980 * [backup-simplify]: Simplify PI into PI
10.980 * [backup-simplify]: Simplify (log PI) into (log PI)
10.980 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.980 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.981 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
10.981 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.981 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.981 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.981 * [taylor]: Taking taylor expansion of -1 in n
10.981 * [backup-simplify]: Simplify -1 into -1
10.981 * [taylor]: Taking taylor expansion of k in n
10.981 * [backup-simplify]: Simplify k into k
10.982 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.982 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.982 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.983 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
10.983 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
10.983 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
10.984 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
10.984 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.984 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.984 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.984 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.984 * [taylor]: Taking taylor expansion of 1/2 in n
10.984 * [backup-simplify]: Simplify 1/2 into 1/2
10.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.984 * [taylor]: Taking taylor expansion of k in n
10.984 * [backup-simplify]: Simplify k into k
10.984 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.984 * [taylor]: Taking taylor expansion of 1/2 in n
10.984 * [backup-simplify]: Simplify 1/2 into 1/2
10.984 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.984 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.984 * [taylor]: Taking taylor expansion of -2 in n
10.984 * [backup-simplify]: Simplify -2 into -2
10.984 * [taylor]: Taking taylor expansion of n in n
10.984 * [backup-simplify]: Simplify 0 into 0
10.984 * [backup-simplify]: Simplify 1 into 1
10.985 * [backup-simplify]: Simplify (/ -2 1) into -2
10.985 * [backup-simplify]: Simplify (log -2) into (log -2)
10.985 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.985 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.986 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.986 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.987 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.987 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.987 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
10.987 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
10.987 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.987 * [taylor]: Taking taylor expansion of 1/2 in n
10.987 * [backup-simplify]: Simplify 1/2 into 1/2
10.987 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.987 * [taylor]: Taking taylor expansion of k in n
10.987 * [backup-simplify]: Simplify k into k
10.987 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.987 * [taylor]: Taking taylor expansion of 1/2 in n
10.987 * [backup-simplify]: Simplify 1/2 into 1/2
10.987 * [taylor]: Taking taylor expansion of (log PI) in n
10.987 * [taylor]: Taking taylor expansion of PI in n
10.988 * [backup-simplify]: Simplify PI into PI
10.988 * [backup-simplify]: Simplify (log PI) into (log PI)
10.988 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.988 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.989 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
10.989 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
10.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
10.989 * [taylor]: Taking taylor expansion of (/ -1 k) in n
10.989 * [taylor]: Taking taylor expansion of -1 in n
10.989 * [backup-simplify]: Simplify -1 into -1
10.989 * [taylor]: Taking taylor expansion of k in n
10.989 * [backup-simplify]: Simplify k into k
10.989 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
10.989 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
10.990 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
10.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
10.990 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
10.991 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
10.991 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
10.991 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
10.991 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
10.991 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
10.991 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.991 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.991 * [taylor]: Taking taylor expansion of 1/2 in k
10.991 * [backup-simplify]: Simplify 1/2 into 1/2
10.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.991 * [taylor]: Taking taylor expansion of k in k
10.991 * [backup-simplify]: Simplify 0 into 0
10.992 * [backup-simplify]: Simplify 1 into 1
10.992 * [backup-simplify]: Simplify (/ 1 1) into 1
10.992 * [taylor]: Taking taylor expansion of 1/2 in k
10.992 * [backup-simplify]: Simplify 1/2 into 1/2
10.992 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
10.992 * [taylor]: Taking taylor expansion of (log -2) in k
10.992 * [taylor]: Taking taylor expansion of -2 in k
10.992 * [backup-simplify]: Simplify -2 into -2
10.993 * [backup-simplify]: Simplify (log -2) into (log -2)
10.993 * [taylor]: Taking taylor expansion of (log n) in k
10.993 * [taylor]: Taking taylor expansion of n in k
10.993 * [backup-simplify]: Simplify n into n
10.993 * [backup-simplify]: Simplify (log n) into (log n)
10.993 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.994 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.994 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.995 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
10.995 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
10.996 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.996 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.996 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
10.996 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
10.996 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.996 * [taylor]: Taking taylor expansion of 1/2 in k
10.996 * [backup-simplify]: Simplify 1/2 into 1/2
10.996 * [taylor]: Taking taylor expansion of (/ 1 k) in k
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
10.997 * [backup-simplify]: Simplify (/ 1 1) into 1
10.997 * [taylor]: Taking taylor expansion of 1/2 in k
10.997 * [backup-simplify]: Simplify 1/2 into 1/2
10.997 * [taylor]: Taking taylor expansion of (log PI) in k
10.997 * [taylor]: Taking taylor expansion of PI in k
10.997 * [backup-simplify]: Simplify PI into PI
10.997 * [backup-simplify]: Simplify (log PI) into (log PI)
10.998 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.998 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.999 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
11.000 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
11.000 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
11.000 * [taylor]: Taking taylor expansion of (/ -1 k) in k
11.000 * [taylor]: Taking taylor expansion of -1 in k
11.000 * [backup-simplify]: Simplify -1 into -1
11.000 * [taylor]: Taking taylor expansion of k in k
11.000 * [backup-simplify]: Simplify 0 into 0
11.000 * [backup-simplify]: Simplify 1 into 1
11.000 * [backup-simplify]: Simplify (/ -1 1) into -1
11.001 * [backup-simplify]: Simplify (sqrt 0) into 0
11.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
11.003 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
11.003 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
11.004 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
11.006 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.007 * [backup-simplify]: Simplify (+ 0 0) into 0
11.007 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
11.009 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
11.011 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
11.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.012 * [backup-simplify]: Simplify (+ 0 0) into 0
11.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.014 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
11.015 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.015 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
11.016 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
11.016 * [taylor]: Taking taylor expansion of 0 in k
11.016 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify 0 into 0
11.017 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
11.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.021 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.023 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.024 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.027 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.029 * [backup-simplify]: Simplify (+ 0 0) into 0
11.030 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.031 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.035 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
11.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.037 * [backup-simplify]: Simplify (+ 0 0) into 0
11.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
11.039 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
11.041 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.042 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
11.042 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.043 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
11.044 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
11.044 * [taylor]: Taking taylor expansion of 0 in k
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 0 into 0
11.044 * [backup-simplify]: Simplify 0 into 0
11.045 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
11.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.053 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.054 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
11.056 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
11.057 * * * [progress]: simplifying candidates
11.057 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.057 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.058 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.059 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (* 1 (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))))) (sqrt k)))>
11.059 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))))) (sqrt k)))>
11.059 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))))) (sqrt k)))>
11.059 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))))) (sqrt k)))>
11.059 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1)))) (sqrt k)))>
11.060 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (exp (log (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (log (exp (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2)))))) (sqrt k)))>
11.060 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2)))))))) (sqrt k)))>
11.060 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.060 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.060 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (* 1 (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.060 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.061 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (exp (log (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (log (exp (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.062 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1))>
11.062 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.062 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.062 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.062 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.062 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.062 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.063 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.063 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.063 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))))>
11.063 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.063 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.063 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
11.063 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
11.063 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
11.063 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.063 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.063 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))) (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.063 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (- (sqrt k))))>
11.063 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k)))))>
11.063 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (cbrt k)))))>
11.064 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
11.064 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
11.064 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))))>
11.064 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
11.064 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
11.064 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt k))))>
11.064 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))))))>
11.064 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
11.064 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
11.064 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.064 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt 1)) (sqrt k)))>
11.064 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
11.064 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1) (sqrt k)))>
11.064 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
11.065 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2)))) (* (sqrt k) (* (pow (* n 2) (/ k 2)) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2))))))))>
11.065 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2)))) (* (sqrt k) (* (pow (* n 2) (/ k 2)) (sqrt (pow PI (/ k 2)))))))>
11.065 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt k) (* (pow (* n 2) (/ k 2)) (sqrt (pow PI (/ k 2)))))))>
11.065 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2)))) (* (sqrt k) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))))))>
11.065 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2)))) (* (sqrt k) (sqrt (pow PI (/ k 2))))))>
11.065 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt k) (sqrt (pow PI (/ k 2))))))>
11.065 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt k) (pow (* n 2) (/ k 2)))))>
11.065 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))))>
11.065 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.065 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.065 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.065 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))))) (sqrt k)))>
11.065 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)))>
11.065 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (* 1/2 k)))))) (sqrt k)))>
11.066 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.066 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.066 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>
11.066 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
11.066 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
11.066 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
11.069 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
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  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
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  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
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  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
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  (pow (cbrt PI) (- 1/2 (/ k 2)))
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  (* (log PI) (- 1/2 (/ k 2)))
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  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
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  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
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  (pow (cbrt PI) (- 1/2 (/ k 2)))
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  (pow (sqrt PI) (- 1/2 (/ k 2)))
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  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
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  (- (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
  (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
  (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
  (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
  (- (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
  (- (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) (log (sqrt k)))
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  (exp (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))
  (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (/ (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))) (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))
  (cbrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))
  (* (* (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))
  (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))
  (sqrt (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))
  (- (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (- (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt 1))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1)
  (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))
  (* (sqrt k) (* (pow (* n 2) (/ k 2)) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2))))))
  (* (sqrt k) (* (pow (* n 2) (/ k 2)) (sqrt (pow PI (/ k 2)))))
  (* (sqrt k) (* (pow (* n 2) (/ k 2)) (sqrt (pow PI (/ k 2)))))
  (* (sqrt k) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))))
  (* (sqrt k) (sqrt (pow PI (/ k 2))))
  (* (sqrt k) (sqrt (pow PI (/ k 2))))
  (* (sqrt k) (pow (* n 2) (/ k 2)))
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  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
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  (pow PI (- 1/2 (* 1/2 k)))
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  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
11.075 * * [simplify]: iteration 0: 301 enodes
11.229 * * [simplify]: iteration 1: 887 enodes
11.508 * * [simplify]: iteration 2: 2001 enodes
12.030 * * [simplify]: iteration complete: 2001 enodes
12.031 * * [simplify]: Extracting #0: cost 81 inf + 0
12.031 * * [simplify]: Extracting #1: cost 302 inf + 2
12.033 * * [simplify]: Extracting #2: cost 586 inf + 313
12.037 * * [simplify]: Extracting #3: cost 654 inf + 18588
12.046 * * [simplify]: Extracting #4: cost 465 inf + 92902
12.074 * * [simplify]: Extracting #5: cost 275 inf + 191075
12.101 * * [simplify]: Extracting #6: cost 216 inf + 235758
12.161 * * [simplify]: Extracting #7: cost 161 inf + 286312
12.226 * * [simplify]: Extracting #8: cost 112 inf + 332880
12.276 * * [simplify]: Extracting #9: cost 101 inf + 344540
12.329 * * [simplify]: Extracting #10: cost 85 inf + 358462
12.400 * * [simplify]: Extracting #11: cost 52 inf + 378540
12.477 * * [simplify]: Extracting #12: cost 31 inf + 412366
12.582 * * [simplify]: Extracting #13: cost 3 inf + 477304
12.728 * * [simplify]: Extracting #14: cost 0 inf + 484892
12.849 * * [simplify]: Extracting #15: cost 0 inf + 484812
12.995 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* n 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (- (/ k 2)))
  (sqrt (* n 2))
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (pow PI (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (* (log PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (exp (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) (* (sqrt k) k))
  (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) (* (sqrt k) k))
  (* (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) k) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
  (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (- (pow PI (- 1/2 (/ k 2)))))
  (- (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (fabs (cbrt k)) (pow PI (- 1/2 (/ k 2)))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (* (sqrt k) (* (pow (* n 2) (/ k 2)) (pow PI (/ k 2))))
  (* (* (pow (* n 2) (/ k 2)) (sqrt k)) (sqrt (pow PI (/ k 2))))
  (* (* (pow (* n 2) (/ k 2)) (sqrt k)) (sqrt (pow PI (/ k 2))))
  (* (pow PI (/ k 2)) (sqrt k))
  (* (sqrt k) (sqrt (pow PI (/ k 2))))
  (* (sqrt k) (sqrt (pow PI (/ k 2))))
  (* (pow (* n 2) (/ k 2)) (sqrt k))
  (real->posit16 (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
  (+ (exp (* (log (* n 2)) 1/2)) (+ (+ (* (* (* (log 2) (log 2)) (* (* k k) (exp (* (log (* n 2)) 1/2)))) 1/8) (* (* 1/4 (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (- (* 1/8 (* (exp (* (log (* n 2)) 1/2)) (* (* k k) (* (log n) (log n))))) (* 1/2 (* k (+ (* (exp (* (log (* n 2)) 1/2)) (log n)) (* (log 2) (exp (* (log (* n 2)) 1/2)))))))))
  (exp (* (log (* n 2)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* k k) (* (log PI) (log PI)))) (* 1/2 (* k (log PI))))))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* k k) (* (log PI) (log PI)))) (* 1/2 (* k (log PI))))))
  (pow PI (- 1/2 (* k 1/2)))
  (pow PI (- 1/2 (* k 1/2)))
  (+ (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* (* k k) (* (log n) (log n))))) (- (sqrt PI))) (+ (- (* +nan.0 (* (sqrt PI) (exp (* (log (* n 2)) 1/2)))) (* +nan.0 (* (sqrt PI) (* (* (log 2) (log 2)) (* (* k k) (exp (* (log (* n 2)) 1/2))))))) (+ (- (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) k)) (sqrt PI)) (* +nan.0 (* (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (log PI) (* k k))) (sqrt PI)))) (+ (- (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* k (log PI)))) (sqrt PI)) (* +nan.0 (* (* (sqrt PI) (exp (* (log (* n 2)) 1/2))) (* (log PI) (* k k))))) (+ (- (* (* +nan.0 (* (log 2) (* (* k k) (exp (* (log (* n 2)) 1/2))))) (sqrt PI)) (* (* (* (log 2) (* (exp (* (log (* n 2)) 1/2)) k)) (sqrt PI)) +nan.0)) (- (* (* (* (* (exp (* (log (* n 2)) 1/2)) (log PI)) (* (* k k) (log n))) (sqrt PI)) +nan.0) (- (* (* (sqrt PI) (* (* k k) (exp (* (log (* n 2)) 1/2)))) +nan.0) (- (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* (* (* k k) (* (log PI) (log PI))) (sqrt PI)))) (- (* +nan.0 (* (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)) (sqrt PI))) (* (sqrt PI) (- (* +nan.0 (* (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)) (log 2))) (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* k (log n)))))))))))))))
  (+ (- (/ (* +nan.0 (* (pow PI (- 1/2 (* k 1/2))) (exp (* (log (* n 2)) (- 1/2 (* k 1/2)))))) (* k k))) (* +nan.0 (- (/ (* (pow PI (- 1/2 (* k 1/2))) (exp (* (log (* n 2)) (- 1/2 (* k 1/2))))) k) (/ (* (pow PI (- 1/2 (* k 1/2))) (exp (* (log (* n 2)) (- 1/2 (* k 1/2))))) (* (* k k) k)))))
  (- (+ (- (* (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))))) (pow PI (- 1/2 (* k 1/2)))) (/ (* (* +nan.0 (exp (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n)))))) (pow PI (- 1/2 (* k 1/2)))) k)) (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log -2) (log (/ -1 n))))) (/ (* k k) (pow PI (- 1/2 (* k 1/2))))) +nan.0)))
13.016 * * * [progress]: adding candidates to table
14.832 * * [progress]: iteration 4 / 4
14.832 * * * [progress]: picking best candidate
14.849 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
14.849 * * * [progress]: localizing error
14.899 * * * [progress]: generating rewritten candidates
14.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
14.909 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1)
14.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 2)
14.910 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1)
14.911 * * * [progress]: generating series expansions
14.911 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
14.911 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
14.912 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
14.912 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
14.912 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
14.912 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
14.912 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.912 * [taylor]: Taking taylor expansion of 1/2 in k
14.912 * [backup-simplify]: Simplify 1/2 into 1/2
14.912 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.912 * [taylor]: Taking taylor expansion of 1/2 in k
14.912 * [backup-simplify]: Simplify 1/2 into 1/2
14.912 * [taylor]: Taking taylor expansion of k in k
14.912 * [backup-simplify]: Simplify 0 into 0
14.912 * [backup-simplify]: Simplify 1 into 1
14.912 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
14.912 * [taylor]: Taking taylor expansion of (* 2 n) in k
14.912 * [taylor]: Taking taylor expansion of 2 in k
14.912 * [backup-simplify]: Simplify 2 into 2
14.912 * [taylor]: Taking taylor expansion of n in k
14.912 * [backup-simplify]: Simplify n into n
14.912 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
14.912 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
14.912 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.913 * [backup-simplify]: Simplify (- 0) into 0
14.913 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.913 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
14.913 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
14.913 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
14.913 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
14.913 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
14.913 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.913 * [taylor]: Taking taylor expansion of 1/2 in n
14.913 * [backup-simplify]: Simplify 1/2 into 1/2
14.913 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.913 * [taylor]: Taking taylor expansion of 1/2 in n
14.913 * [backup-simplify]: Simplify 1/2 into 1/2
14.913 * [taylor]: Taking taylor expansion of k in n
14.913 * [backup-simplify]: Simplify k into k
14.913 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
14.913 * [taylor]: Taking taylor expansion of (* 2 n) in n
14.913 * [taylor]: Taking taylor expansion of 2 in n
14.913 * [backup-simplify]: Simplify 2 into 2
14.913 * [taylor]: Taking taylor expansion of n in n
14.913 * [backup-simplify]: Simplify 0 into 0
14.913 * [backup-simplify]: Simplify 1 into 1
14.914 * [backup-simplify]: Simplify (* 2 0) into 0
14.914 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
14.914 * [backup-simplify]: Simplify (log 2) into (log 2)
14.914 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.914 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.914 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.915 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.915 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
14.916 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
14.916 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
14.916 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
14.916 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
14.916 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
14.916 * [taylor]: Taking taylor expansion of 1/2 in n
14.916 * [backup-simplify]: Simplify 1/2 into 1/2
14.916 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
14.916 * [taylor]: Taking taylor expansion of 1/2 in n
14.916 * [backup-simplify]: Simplify 1/2 into 1/2
14.916 * [taylor]: Taking taylor expansion of k in n
14.916 * [backup-simplify]: Simplify k into k
14.916 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
14.916 * [taylor]: Taking taylor expansion of (* 2 n) in n
14.916 * [taylor]: Taking taylor expansion of 2 in n
14.916 * [backup-simplify]: Simplify 2 into 2
14.916 * [taylor]: Taking taylor expansion of n in n
14.916 * [backup-simplify]: Simplify 0 into 0
14.916 * [backup-simplify]: Simplify 1 into 1
14.916 * [backup-simplify]: Simplify (* 2 0) into 0
14.917 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
14.917 * [backup-simplify]: Simplify (log 2) into (log 2)
14.917 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
14.917 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
14.917 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
14.917 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.918 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
14.918 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
14.918 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
14.918 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
14.918 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
14.918 * [taylor]: Taking taylor expansion of (log 2) in k
14.918 * [taylor]: Taking taylor expansion of 2 in k
14.918 * [backup-simplify]: Simplify 2 into 2
14.918 * [backup-simplify]: Simplify (log 2) into (log 2)
14.918 * [taylor]: Taking taylor expansion of (log n) in k
14.918 * [taylor]: Taking taylor expansion of n in k
14.918 * [backup-simplify]: Simplify n into n
14.919 * [backup-simplify]: Simplify (log n) into (log n)
14.919 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
14.919 * [taylor]: Taking taylor expansion of 1/2 in k
14.919 * [backup-simplify]: Simplify 1/2 into 1/2
14.919 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
14.919 * [taylor]: Taking taylor expansion of 1/2 in k
14.919 * [backup-simplify]: Simplify 1/2 into 1/2
14.919 * [taylor]: Taking taylor expansion of k in k
14.919 * [backup-simplify]: Simplify 0 into 0
14.919 * [backup-simplify]: Simplify 1 into 1
14.919 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
14.919 * [backup-simplify]: Simplify (* 1/2 0) into 0
14.919 * [backup-simplify]: Simplify (- 0) into 0
14.920 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.920 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
14.920 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
14.921 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
14.921 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
14.922 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
14.922 * [backup-simplify]: Simplify (- 0) into 0
14.923 * [backup-simplify]: Simplify (+ 0 0) into 0
14.923 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.923 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
14.924 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.924 * [taylor]: Taking taylor expansion of 0 in k
14.924 * [backup-simplify]: Simplify 0 into 0
14.924 * [backup-simplify]: Simplify 0 into 0
14.925 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
14.925 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.926 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.927 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
14.928 * [backup-simplify]: Simplify (+ 0 0) into 0
14.929 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
14.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
14.932 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
14.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
14.936 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
14.937 * [backup-simplify]: Simplify (- 0) into 0
14.938 * [backup-simplify]: Simplify (+ 0 0) into 0
14.938 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
14.939 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
14.941 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.941 * [taylor]: Taking taylor expansion of 0 in k
14.942 * [backup-simplify]: Simplify 0 into 0
14.942 * [backup-simplify]: Simplify 0 into 0
14.942 * [backup-simplify]: Simplify 0 into 0
14.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
14.943 * [backup-simplify]: Simplify (- 0) into 0
14.943 * [backup-simplify]: Simplify (+ 0 0) into 0
14.946 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.948 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
14.948 * [backup-simplify]: Simplify (+ 0 0) into 0
14.949 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
14.952 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
14.954 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
14.959 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
14.959 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
14.959 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
14.959 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
14.959 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
14.959 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
14.960 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.960 * [taylor]: Taking taylor expansion of 1/2 in k
14.960 * [backup-simplify]: Simplify 1/2 into 1/2
14.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.960 * [taylor]: Taking taylor expansion of 1/2 in k
14.960 * [backup-simplify]: Simplify 1/2 into 1/2
14.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.960 * [taylor]: Taking taylor expansion of k in k
14.960 * [backup-simplify]: Simplify 0 into 0
14.960 * [backup-simplify]: Simplify 1 into 1
14.960 * [backup-simplify]: Simplify (/ 1 1) into 1
14.960 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
14.960 * [taylor]: Taking taylor expansion of (/ 2 n) in k
14.960 * [taylor]: Taking taylor expansion of 2 in k
14.960 * [backup-simplify]: Simplify 2 into 2
14.960 * [taylor]: Taking taylor expansion of n in k
14.960 * [backup-simplify]: Simplify n into n
14.960 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
14.960 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
14.961 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.961 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.962 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.962 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
14.962 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
14.962 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.962 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
14.962 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
14.962 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.962 * [taylor]: Taking taylor expansion of 1/2 in n
14.962 * [backup-simplify]: Simplify 1/2 into 1/2
14.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.962 * [taylor]: Taking taylor expansion of 1/2 in n
14.962 * [backup-simplify]: Simplify 1/2 into 1/2
14.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.962 * [taylor]: Taking taylor expansion of k in n
14.962 * [backup-simplify]: Simplify k into k
14.962 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.962 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
14.962 * [taylor]: Taking taylor expansion of (/ 2 n) in n
14.962 * [taylor]: Taking taylor expansion of 2 in n
14.962 * [backup-simplify]: Simplify 2 into 2
14.962 * [taylor]: Taking taylor expansion of n in n
14.963 * [backup-simplify]: Simplify 0 into 0
14.963 * [backup-simplify]: Simplify 1 into 1
14.963 * [backup-simplify]: Simplify (/ 2 1) into 2
14.963 * [backup-simplify]: Simplify (log 2) into (log 2)
14.963 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.964 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.964 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.965 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
14.965 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.965 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
14.965 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
14.965 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
14.966 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
14.966 * [taylor]: Taking taylor expansion of 1/2 in n
14.966 * [backup-simplify]: Simplify 1/2 into 1/2
14.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.966 * [taylor]: Taking taylor expansion of 1/2 in n
14.966 * [backup-simplify]: Simplify 1/2 into 1/2
14.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.966 * [taylor]: Taking taylor expansion of k in n
14.966 * [backup-simplify]: Simplify k into k
14.966 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.966 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
14.966 * [taylor]: Taking taylor expansion of (/ 2 n) in n
14.966 * [taylor]: Taking taylor expansion of 2 in n
14.966 * [backup-simplify]: Simplify 2 into 2
14.966 * [taylor]: Taking taylor expansion of n in n
14.966 * [backup-simplify]: Simplify 0 into 0
14.966 * [backup-simplify]: Simplify 1 into 1
14.966 * [backup-simplify]: Simplify (/ 2 1) into 2
14.967 * [backup-simplify]: Simplify (log 2) into (log 2)
14.967 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.967 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
14.967 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
14.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.968 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
14.969 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.969 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
14.969 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
14.969 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
14.969 * [taylor]: Taking taylor expansion of 1/2 in k
14.969 * [backup-simplify]: Simplify 1/2 into 1/2
14.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.969 * [taylor]: Taking taylor expansion of 1/2 in k
14.969 * [backup-simplify]: Simplify 1/2 into 1/2
14.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.969 * [taylor]: Taking taylor expansion of k in k
14.969 * [backup-simplify]: Simplify 0 into 0
14.969 * [backup-simplify]: Simplify 1 into 1
14.970 * [backup-simplify]: Simplify (/ 1 1) into 1
14.970 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
14.970 * [taylor]: Taking taylor expansion of (log 2) in k
14.970 * [taylor]: Taking taylor expansion of 2 in k
14.970 * [backup-simplify]: Simplify 2 into 2
14.970 * [backup-simplify]: Simplify (log 2) into (log 2)
14.970 * [taylor]: Taking taylor expansion of (log n) in k
14.970 * [taylor]: Taking taylor expansion of n in k
14.970 * [backup-simplify]: Simplify n into n
14.970 * [backup-simplify]: Simplify (log n) into (log n)
14.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.971 * [backup-simplify]: Simplify (- 1/2) into -1/2
14.971 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
14.971 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
14.972 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
14.972 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
14.973 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.973 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
14.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
14.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
14.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
14.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
14.977 * [backup-simplify]: Simplify (- 0) into 0
14.977 * [backup-simplify]: Simplify (+ 0 0) into 0
14.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.978 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
14.980 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
14.980 * [taylor]: Taking taylor expansion of 0 in k
14.980 * [backup-simplify]: Simplify 0 into 0
14.980 * [backup-simplify]: Simplify 0 into 0
14.980 * [backup-simplify]: Simplify 0 into 0
14.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
14.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.983 * [backup-simplify]: Simplify (- 0) into 0
14.983 * [backup-simplify]: Simplify (+ 0 0) into 0
14.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.984 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
14.985 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.985 * [taylor]: Taking taylor expansion of 0 in k
14.985 * [backup-simplify]: Simplify 0 into 0
14.985 * [backup-simplify]: Simplify 0 into 0
14.985 * [backup-simplify]: Simplify 0 into 0
14.985 * [backup-simplify]: Simplify 0 into 0
14.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.989 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0
14.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
14.990 * [backup-simplify]: Simplify (- 0) into 0
14.990 * [backup-simplify]: Simplify (+ 0 0) into 0
14.990 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
14.991 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
14.993 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
14.993 * [taylor]: Taking taylor expansion of 0 in k
14.993 * [backup-simplify]: Simplify 0 into 0
14.993 * [backup-simplify]: Simplify 0 into 0
14.993 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
14.993 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
14.993 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
14.993 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
14.993 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
14.993 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
14.993 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.993 * [taylor]: Taking taylor expansion of 1/2 in k
14.993 * [backup-simplify]: Simplify 1/2 into 1/2
14.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.993 * [taylor]: Taking taylor expansion of k in k
14.993 * [backup-simplify]: Simplify 0 into 0
14.993 * [backup-simplify]: Simplify 1 into 1
14.994 * [backup-simplify]: Simplify (/ 1 1) into 1
14.994 * [taylor]: Taking taylor expansion of 1/2 in k
14.994 * [backup-simplify]: Simplify 1/2 into 1/2
14.994 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
14.994 * [taylor]: Taking taylor expansion of (/ -2 n) in k
14.994 * [taylor]: Taking taylor expansion of -2 in k
14.994 * [backup-simplify]: Simplify -2 into -2
14.994 * [taylor]: Taking taylor expansion of n in k
14.994 * [backup-simplify]: Simplify n into n
14.994 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
14.994 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
14.994 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
14.994 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
14.994 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
14.995 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
14.995 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.995 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
14.995 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
14.995 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.995 * [taylor]: Taking taylor expansion of 1/2 in n
14.995 * [backup-simplify]: Simplify 1/2 into 1/2
14.995 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.995 * [taylor]: Taking taylor expansion of k in n
14.995 * [backup-simplify]: Simplify k into k
14.995 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.995 * [taylor]: Taking taylor expansion of 1/2 in n
14.995 * [backup-simplify]: Simplify 1/2 into 1/2
14.995 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
14.995 * [taylor]: Taking taylor expansion of (/ -2 n) in n
14.995 * [taylor]: Taking taylor expansion of -2 in n
14.995 * [backup-simplify]: Simplify -2 into -2
14.995 * [taylor]: Taking taylor expansion of n in n
14.995 * [backup-simplify]: Simplify 0 into 0
14.995 * [backup-simplify]: Simplify 1 into 1
14.995 * [backup-simplify]: Simplify (/ -2 1) into -2
14.996 * [backup-simplify]: Simplify (log -2) into (log -2)
14.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.996 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.996 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.996 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
14.997 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
14.997 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
14.997 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
14.997 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
14.997 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
14.997 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
14.997 * [taylor]: Taking taylor expansion of 1/2 in n
14.997 * [backup-simplify]: Simplify 1/2 into 1/2
14.997 * [taylor]: Taking taylor expansion of (/ 1 k) in n
14.997 * [taylor]: Taking taylor expansion of k in n
14.997 * [backup-simplify]: Simplify k into k
14.997 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
14.997 * [taylor]: Taking taylor expansion of 1/2 in n
14.997 * [backup-simplify]: Simplify 1/2 into 1/2
14.997 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
14.997 * [taylor]: Taking taylor expansion of (/ -2 n) in n
14.997 * [taylor]: Taking taylor expansion of -2 in n
14.997 * [backup-simplify]: Simplify -2 into -2
14.997 * [taylor]: Taking taylor expansion of n in n
14.997 * [backup-simplify]: Simplify 0 into 0
14.997 * [backup-simplify]: Simplify 1 into 1
14.997 * [backup-simplify]: Simplify (/ -2 1) into -2
14.998 * [backup-simplify]: Simplify (log -2) into (log -2)
14.998 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
14.998 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
14.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.999 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
14.999 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
14.999 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
14.999 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
14.999 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
14.999 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
14.999 * [taylor]: Taking taylor expansion of 1/2 in k
14.999 * [backup-simplify]: Simplify 1/2 into 1/2
14.999 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.999 * [taylor]: Taking taylor expansion of k in k
14.999 * [backup-simplify]: Simplify 0 into 0
14.999 * [backup-simplify]: Simplify 1 into 1
14.999 * [backup-simplify]: Simplify (/ 1 1) into 1
14.999 * [taylor]: Taking taylor expansion of 1/2 in k
14.999 * [backup-simplify]: Simplify 1/2 into 1/2
14.999 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
14.999 * [taylor]: Taking taylor expansion of (log -2) in k
14.999 * [taylor]: Taking taylor expansion of -2 in k
14.999 * [backup-simplify]: Simplify -2 into -2
15.000 * [backup-simplify]: Simplify (log -2) into (log -2)
15.000 * [taylor]: Taking taylor expansion of (log n) in k
15.000 * [taylor]: Taking taylor expansion of n in k
15.000 * [backup-simplify]: Simplify n into n
15.000 * [backup-simplify]: Simplify (log n) into (log n)
15.000 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
15.000 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
15.000 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
15.001 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
15.001 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
15.001 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
15.002 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
15.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
15.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
15.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
15.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
15.008 * [backup-simplify]: Simplify (+ 0 0) into 0
15.008 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
15.008 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
15.009 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
15.009 * [taylor]: Taking taylor expansion of 0 in k
15.009 * [backup-simplify]: Simplify 0 into 0
15.009 * [backup-simplify]: Simplify 0 into 0
15.009 * [backup-simplify]: Simplify 0 into 0
15.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
15.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
15.012 * [backup-simplify]: Simplify (+ 0 0) into 0
15.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
15.013 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
15.014 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
15.015 * [taylor]: Taking taylor expansion of 0 in k
15.015 * [backup-simplify]: Simplify 0 into 0
15.015 * [backup-simplify]: Simplify 0 into 0
15.015 * [backup-simplify]: Simplify 0 into 0
15.015 * [backup-simplify]: Simplify 0 into 0
15.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.018 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0
15.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
15.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
15.019 * [backup-simplify]: Simplify (+ 0 0) into 0
15.020 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
15.020 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
15.021 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
15.021 * [taylor]: Taking taylor expansion of 0 in k
15.022 * [backup-simplify]: Simplify 0 into 0
15.022 * [backup-simplify]: Simplify 0 into 0
15.022 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
15.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1)
15.022 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 2)
15.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1)
15.022 * * * [progress]: simplifying candidates
15.022 * * * * [progress]: [ 1 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 2 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 3 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 4 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 5 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 6 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 7 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 8 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.022 * * * * [progress]: [ 9 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 10 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 11 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 12 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 13 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 14 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 15 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 16 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 17 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 18 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 19 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 20 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 21 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 22 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 23 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 24 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 25 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (pow PI 1/3) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 26 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (pow (cbrt PI) 1) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 27 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (exp (log (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 28 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (log (exp (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 29 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 30 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 31 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* (cbrt 1) (cbrt PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
15.023 * * * * [progress]: [ 32 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 33 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt (* (* (cbrt PI) (cbrt PI)) (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 34 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 35 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (* 1 (cbrt PI)) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 36 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (posit16->real (real->posit16 (cbrt PI))) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 37 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (pow PI 1/3)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 38 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (pow (cbrt PI) 1)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 39 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (exp (log (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 40 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (log (exp (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 41 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 42 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 43 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* (cbrt 1) (cbrt PI))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 44 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 45 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt (* (* (cbrt PI) (cbrt PI)) (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 46 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* (sqrt (cbrt PI)) (sqrt (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 47 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (* 1 (cbrt PI))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 48 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (posit16->real (real->posit16 (cbrt PI)))) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 49 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (pow PI 1/3) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 50 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (pow (cbrt PI) 1) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 51 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (exp (log (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 52 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (log (exp (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 53 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* (cbrt (* (cbrt PI) (cbrt PI))) (cbrt (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 54 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 55 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* (cbrt 1) (cbrt PI)) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.024 * * * * [progress]: [ 56 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* (* (cbrt (cbrt PI)) (cbrt (cbrt PI))) (cbrt (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 57 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt (* (* (cbrt PI) (cbrt PI)) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 58 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* (sqrt (cbrt PI)) (sqrt (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 59 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (* 1 (cbrt PI)) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 60 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (posit16->real (real->posit16 (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 61 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 62 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 63 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 64 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 65 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.025 * * * * [progress]: [ 66 / 66 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))>
15.026 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  (cbrt 1)
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  (* (* (cbrt PI) (cbrt PI)) (cbrt PI))
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  (cbrt 1)
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  (* (* (cbrt PI) (cbrt PI)) (cbrt PI))
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  (cbrt 1)
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  (* (* (cbrt PI) (cbrt PI)) (cbrt PI))
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
15.026 * * [simplify]: iteration 0: 107 enodes
15.057 * * [simplify]: iteration 1: 274 enodes
15.191 * * [simplify]: iteration 2: 845 enodes
15.495 * * [simplify]: iteration 3: 2005 enodes
16.100 * * [simplify]: iteration complete: 2005 enodes
16.100 * * [simplify]: Extracting #0: cost 35 inf + 0
16.100 * * [simplify]: Extracting #1: cost 244 inf + 2
16.102 * * [simplify]: Extracting #2: cost 557 inf + 1285
16.105 * * [simplify]: Extracting #3: cost 721 inf + 13592
16.117 * * [simplify]: Extracting #4: cost 556 inf + 48747
16.145 * * [simplify]: Extracting #5: cost 299 inf + 117127
16.179 * * [simplify]: Extracting #6: cost 84 inf + 209563
16.228 * * [simplify]: Extracting #7: cost 11 inf + 240496
16.281 * * [simplify]: Extracting #8: cost 1 inf + 244788
16.330 * * [simplify]: Extracting #9: cost 0 inf + 245362
16.392 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* 2 n))
  (pow (* 2 n) (/ k 2))
  (pow (* 2 n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* 2 n) (sqrt (- 1/2 (/ k 2))))
  (* 2 n)
  (pow (* 2 n) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* 2 n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* 2 n)
  (sqrt (* 2 n))
  (pow (* 2 n) (/ (- k) 2))
  (sqrt (* 2 n))
  (pow (* 2 n) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (exp (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (pow (pow (* 2 n) (- 1/2 (/ k 2))) 3)
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* 2 n) (- 1/2 (/ k 2))))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  1
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  PI
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  1
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  PI
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (log (cbrt PI))
  (exp (cbrt PI))
  (cbrt (* (cbrt PI) (cbrt PI)))
  (cbrt (cbrt PI))
  (cbrt (sqrt PI))
  (cbrt (sqrt PI))
  1
  (cbrt PI)
  (* (cbrt (cbrt PI)) (cbrt (cbrt PI)))
  (cbrt (cbrt PI))
  PI
  (sqrt (cbrt PI))
  (sqrt (cbrt PI))
  (real->posit16 (cbrt PI))
  (- (+ (+ (sqrt (* 2 n)) (* 1/4 (* (log 2) (* (* (sqrt (* 2 n)) (log n)) (* k k))))) (* (* (* k k) 1/8) (+ (* (sqrt (* 2 n)) (* (log n) (log n))) (* (* (log 2) (log 2)) (sqrt (* 2 n)))))) (/ (* k (* (sqrt (* 2 n)) (+ (log n) (log 2)))) 2))
  (exp (* (+ (* k -1/2) 1/2) (log (* 2 n))))
  (exp (* (- (log -2) (log (/ -1 n))) (+ 1/2 (* k -1/2))))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
16.398 * * * [progress]: adding candidates to table
17.437 * [progress]: [Phase 3 of 3] Extracting.
17.438 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>)
17.438 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2 PI) n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) n k)
17.438 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>)
17.496 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))>)
17.520 * * * * [regimes]: Trying to branch on (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>)
17.582 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>)
17.629 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))> #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k)))>)
17.668 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
17.668 * [simplify]: Simplifying:
  (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))
17.669 * * [simplify]: iteration 0: 15 enodes
17.669 * * [simplify]: iteration 1: 17 enodes
17.670 * * [simplify]: iteration complete: 17 enodes
17.670 * * [simplify]: Extracting #0: cost 1 inf + 0
17.670 * * [simplify]: Extracting #1: cost 3 inf + 0
17.670 * * [simplify]: Extracting #2: cost 6 inf + 0
17.670 * * [simplify]: Extracting #3: cost 7 inf + 42
17.670 * * [simplify]: Extracting #4: cost 12 inf + 42
17.670 * * [simplify]: Extracting #5: cost 9 inf + 87
17.670 * * [simplify]: Extracting #6: cost 4 inf + 841
17.670 * * [simplify]: Extracting #7: cost 2 inf + 1549
17.670 * * [simplify]: Extracting #8: cost 0 inf + 2959
17.671 * [simplify]: Simplified to:
  (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))
26.568 * [regime-testing]: Baseline error score: 0.4478295030504173
26.574 * [regime-testing]: Oracle error score: 0.07211960270465574
26.583 * [regime-testing]: End program error score: 0.4478295030504173