1552122427.584 * [progress]: [Phase 1 of 3] Setting up.
1552122427.585 * * * [progress]: [1/2] Preparing points
1552122427.774 * * * [progress]: [2/2] Setting up program.
1552122427.777 * [progress]: [Phase 2 of 3] Improving.
1552122427.778 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1552122427.778 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1552122427.778 * * [simplify]: iters left: 6 (13 enodes)
1552122427.782 * * [simplify]: iters left: 5 (54 enodes)
1552122427.791 * * [simplify]: iters left: 4 (75 enodes)
1552122427.810 * * [simplify]: iters left: 3 (94 enodes)
1552122427.831 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122427.831 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122427.831 * * [simplify]: Extracting #2: cost 13 inf + 1
1552122427.831 * * [simplify]: Extracting #3: cost 23 inf + 2
1552122427.831 * * [simplify]: Extracting #4: cost 18 inf + 378
1552122427.832 * * [simplify]: Extracting #5: cost 6 inf + 1792
1552122427.832 * * [simplify]: Extracting #6: cost 1 inf + 3201
1552122427.833 * * [simplify]: Extracting #7: cost 0 inf + 3656
1552122427.833 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552122427.834 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
1552122427.840 * * [progress]: iteration 1 / 4
1552122427.840 * * * [progress]: picking best candidate
1552122427.845 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1552122427.845 * * * [progress]: localizing error
1552122427.880 * * * [progress]: generating rewritten candidates
1552122427.880 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1552122427.883 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1552122427.886 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1552122427.893 * * * [progress]: generating series expansions
1552122427.893 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1552122427.893 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552122427.893 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552122427.893 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122427.893 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122427.893 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122427.893 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122427.893 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.893 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.893 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122427.893 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.893 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.893 * [taylor]: Taking taylor expansion of k in k
1552122427.893 * [backup-simplify]: Simplify 0 into 0
1552122427.893 * [backup-simplify]: Simplify 1 into 1
1552122427.893 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122427.893 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122427.893 * [taylor]: Taking taylor expansion of 2 in k
1552122427.893 * [backup-simplify]: Simplify 2 into 2
1552122427.893 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122427.893 * [taylor]: Taking taylor expansion of n in k
1552122427.894 * [backup-simplify]: Simplify n into n
1552122427.894 * [taylor]: Taking taylor expansion of PI in k
1552122427.894 * [backup-simplify]: Simplify PI into PI
1552122427.894 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122427.894 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122427.894 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122427.894 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122427.894 * [backup-simplify]: Simplify (- 0) into 0
1552122427.895 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122427.895 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122427.895 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122427.895 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122427.895 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122427.895 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122427.895 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122427.895 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.895 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.895 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122427.895 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.895 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.895 * [taylor]: Taking taylor expansion of k in n
1552122427.895 * [backup-simplify]: Simplify k into k
1552122427.895 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122427.895 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122427.895 * [taylor]: Taking taylor expansion of 2 in n
1552122427.895 * [backup-simplify]: Simplify 2 into 2
1552122427.895 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122427.895 * [taylor]: Taking taylor expansion of n in n
1552122427.895 * [backup-simplify]: Simplify 0 into 0
1552122427.895 * [backup-simplify]: Simplify 1 into 1
1552122427.895 * [taylor]: Taking taylor expansion of PI in n
1552122427.895 * [backup-simplify]: Simplify PI into PI
1552122427.895 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122427.896 * [backup-simplify]: Simplify (* 2 0) into 0
1552122427.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122427.897 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122427.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.898 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122427.898 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122427.898 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122427.899 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122427.900 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122427.900 * [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)))))
1552122427.900 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122427.900 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122427.900 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122427.900 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122427.901 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.901 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.901 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122427.901 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.901 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.901 * [taylor]: Taking taylor expansion of k in n
1552122427.901 * [backup-simplify]: Simplify k into k
1552122427.901 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122427.901 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122427.901 * [taylor]: Taking taylor expansion of 2 in n
1552122427.901 * [backup-simplify]: Simplify 2 into 2
1552122427.901 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122427.901 * [taylor]: Taking taylor expansion of n in n
1552122427.901 * [backup-simplify]: Simplify 0 into 0
1552122427.901 * [backup-simplify]: Simplify 1 into 1
1552122427.901 * [taylor]: Taking taylor expansion of PI in n
1552122427.901 * [backup-simplify]: Simplify PI into PI
1552122427.901 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122427.901 * [backup-simplify]: Simplify (* 2 0) into 0
1552122427.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122427.905 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122427.906 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.906 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122427.906 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122427.906 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122427.907 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122427.909 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122427.910 * [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)))))
1552122427.910 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122427.910 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122427.910 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122427.910 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.910 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.910 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122427.910 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.910 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.910 * [taylor]: Taking taylor expansion of k in k
1552122427.910 * [backup-simplify]: Simplify 0 into 0
1552122427.910 * [backup-simplify]: Simplify 1 into 1
1552122427.910 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122427.910 * [taylor]: Taking taylor expansion of (log n) in k
1552122427.910 * [taylor]: Taking taylor expansion of n in k
1552122427.910 * [backup-simplify]: Simplify n into n
1552122427.910 * [backup-simplify]: Simplify (log n) into (log n)
1552122427.910 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122427.910 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122427.910 * [taylor]: Taking taylor expansion of 2 in k
1552122427.910 * [backup-simplify]: Simplify 2 into 2
1552122427.910 * [taylor]: Taking taylor expansion of PI in k
1552122427.911 * [backup-simplify]: Simplify PI into PI
1552122427.911 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122427.912 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.913 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122427.913 * [backup-simplify]: Simplify (- 0) into 0
1552122427.913 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122427.914 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122427.915 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122427.916 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122427.917 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122427.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122427.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122427.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122427.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122427.922 * [backup-simplify]: Simplify (- 0) into 0
1552122427.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.924 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122427.925 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122427.927 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122427.927 * [taylor]: Taking taylor expansion of 0 in k
1552122427.927 * [backup-simplify]: Simplify 0 into 0
1552122427.927 * [backup-simplify]: Simplify 0 into 0
1552122427.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122427.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122427.931 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122427.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.932 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122427.932 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122427.933 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122427.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122427.935 * [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)))))))
1552122427.937 * [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)))))))
1552122427.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122427.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122427.940 * [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
1552122427.941 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122427.941 * [backup-simplify]: Simplify (- 0) into 0
1552122427.941 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.942 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122427.943 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122427.944 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122427.944 * [taylor]: Taking taylor expansion of 0 in k
1552122427.944 * [backup-simplify]: Simplify 0 into 0
1552122427.944 * [backup-simplify]: Simplify 0 into 0
1552122427.944 * [backup-simplify]: Simplify 0 into 0
1552122427.945 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122427.946 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122427.948 * [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
1552122427.948 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122427.949 * [backup-simplify]: Simplify (- 0) into 0
1552122427.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122427.956 * [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)))))
1552122427.959 * [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)))))
1552122427.967 * [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)))))
1552122427.967 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552122427.967 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552122427.967 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122427.967 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122427.967 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122427.967 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122427.967 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.968 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122427.968 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.968 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122427.968 * [taylor]: Taking taylor expansion of k in k
1552122427.968 * [backup-simplify]: Simplify 0 into 0
1552122427.968 * [backup-simplify]: Simplify 1 into 1
1552122427.968 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122427.968 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122427.968 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122427.968 * [taylor]: Taking taylor expansion of 2 in k
1552122427.968 * [backup-simplify]: Simplify 2 into 2
1552122427.968 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122427.968 * [taylor]: Taking taylor expansion of PI in k
1552122427.968 * [backup-simplify]: Simplify PI into PI
1552122427.968 * [taylor]: Taking taylor expansion of n in k
1552122427.968 * [backup-simplify]: Simplify n into n
1552122427.968 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122427.969 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122427.969 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122427.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122427.969 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122427.970 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122427.970 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122427.970 * [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))))
1552122427.970 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122427.970 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122427.970 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122427.970 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122427.970 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.970 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122427.970 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.970 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.971 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122427.971 * [taylor]: Taking taylor expansion of k in n
1552122427.971 * [backup-simplify]: Simplify k into k
1552122427.971 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122427.971 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122427.971 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122427.971 * [taylor]: Taking taylor expansion of 2 in n
1552122427.971 * [backup-simplify]: Simplify 2 into 2
1552122427.971 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122427.971 * [taylor]: Taking taylor expansion of PI in n
1552122427.971 * [backup-simplify]: Simplify PI into PI
1552122427.971 * [taylor]: Taking taylor expansion of n in n
1552122427.971 * [backup-simplify]: Simplify 0 into 0
1552122427.971 * [backup-simplify]: Simplify 1 into 1
1552122427.971 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122427.972 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122427.973 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.973 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122427.973 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122427.973 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122427.974 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122427.976 * [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)))
1552122427.977 * [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))))
1552122427.977 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122427.977 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122427.977 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122427.977 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122427.977 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.977 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.977 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122427.977 * [taylor]: Taking taylor expansion of 1/2 in n
1552122427.977 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122427.977 * [taylor]: Taking taylor expansion of k in n
1552122427.977 * [backup-simplify]: Simplify k into k
1552122427.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122427.977 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122427.977 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122427.977 * [taylor]: Taking taylor expansion of 2 in n
1552122427.977 * [backup-simplify]: Simplify 2 into 2
1552122427.978 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122427.978 * [taylor]: Taking taylor expansion of PI in n
1552122427.978 * [backup-simplify]: Simplify PI into PI
1552122427.978 * [taylor]: Taking taylor expansion of n in n
1552122427.978 * [backup-simplify]: Simplify 0 into 0
1552122427.978 * [backup-simplify]: Simplify 1 into 1
1552122427.978 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122427.979 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122427.980 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.980 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122427.980 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122427.980 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122427.981 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122427.982 * [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)))
1552122427.984 * [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))))
1552122427.984 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122427.984 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122427.984 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122427.984 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.984 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122427.984 * [taylor]: Taking taylor expansion of 1/2 in k
1552122427.984 * [backup-simplify]: Simplify 1/2 into 1/2
1552122427.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122427.984 * [taylor]: Taking taylor expansion of k in k
1552122427.984 * [backup-simplify]: Simplify 0 into 0
1552122427.984 * [backup-simplify]: Simplify 1 into 1
1552122427.984 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122427.985 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122427.985 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122427.985 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122427.985 * [taylor]: Taking taylor expansion of 2 in k
1552122427.985 * [backup-simplify]: Simplify 2 into 2
1552122427.985 * [taylor]: Taking taylor expansion of PI in k
1552122427.985 * [backup-simplify]: Simplify PI into PI
1552122427.985 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122427.986 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122427.986 * [taylor]: Taking taylor expansion of (log n) in k
1552122427.986 * [taylor]: Taking taylor expansion of n in k
1552122427.986 * [backup-simplify]: Simplify n into n
1552122427.987 * [backup-simplify]: Simplify (log n) into (log n)
1552122427.987 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122427.987 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122427.988 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122427.988 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122427.989 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122427.990 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122427.991 * [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))))
1552122427.992 * [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))))
1552122427.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122427.994 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122427.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122427.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122427.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122427.997 * [backup-simplify]: Simplify (- 0) into 0
1552122427.997 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122427.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.000 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122428.002 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122428.002 * [taylor]: Taking taylor expansion of 0 in k
1552122428.002 * [backup-simplify]: Simplify 0 into 0
1552122428.002 * [backup-simplify]: Simplify 0 into 0
1552122428.002 * [backup-simplify]: Simplify 0 into 0
1552122428.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.005 * [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
1552122428.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122428.006 * [backup-simplify]: Simplify (- 0) into 0
1552122428.006 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.008 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122428.009 * [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
1552122428.009 * [taylor]: Taking taylor expansion of 0 in k
1552122428.009 * [backup-simplify]: Simplify 0 into 0
1552122428.009 * [backup-simplify]: Simplify 0 into 0
1552122428.009 * [backup-simplify]: Simplify 0 into 0
1552122428.009 * [backup-simplify]: Simplify 0 into 0
1552122428.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.014 * [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
1552122428.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122428.015 * [backup-simplify]: Simplify (- 0) into 0
1552122428.016 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.017 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.018 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122428.019 * [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
1552122428.019 * [taylor]: Taking taylor expansion of 0 in k
1552122428.019 * [backup-simplify]: Simplify 0 into 0
1552122428.019 * [backup-simplify]: Simplify 0 into 0
1552122428.020 * [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)))))
1552122428.020 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552122428.020 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552122428.020 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122428.020 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122428.020 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122428.020 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122428.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.020 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.020 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.020 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.020 * [taylor]: Taking taylor expansion of k in k
1552122428.020 * [backup-simplify]: Simplify 0 into 0
1552122428.020 * [backup-simplify]: Simplify 1 into 1
1552122428.021 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.021 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.021 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.021 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122428.021 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122428.021 * [taylor]: Taking taylor expansion of -2 in k
1552122428.021 * [backup-simplify]: Simplify -2 into -2
1552122428.021 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122428.021 * [taylor]: Taking taylor expansion of PI in k
1552122428.021 * [backup-simplify]: Simplify PI into PI
1552122428.021 * [taylor]: Taking taylor expansion of n in k
1552122428.021 * [backup-simplify]: Simplify n into n
1552122428.021 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122428.021 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122428.021 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122428.022 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.022 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.022 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122428.022 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1552122428.022 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122428.022 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122428.022 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122428.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122428.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.022 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.022 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.022 * [taylor]: Taking taylor expansion of k in n
1552122428.022 * [backup-simplify]: Simplify k into k
1552122428.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.022 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.022 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.022 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122428.022 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.022 * [taylor]: Taking taylor expansion of -2 in n
1552122428.022 * [backup-simplify]: Simplify -2 into -2
1552122428.022 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.022 * [taylor]: Taking taylor expansion of PI in n
1552122428.022 * [backup-simplify]: Simplify PI into PI
1552122428.022 * [taylor]: Taking taylor expansion of n in n
1552122428.022 * [backup-simplify]: Simplify 0 into 0
1552122428.022 * [backup-simplify]: Simplify 1 into 1
1552122428.023 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.023 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.024 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.024 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.024 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122428.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.025 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122428.026 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1552122428.026 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122428.026 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122428.026 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122428.026 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122428.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.026 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.026 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.026 * [taylor]: Taking taylor expansion of k in n
1552122428.026 * [backup-simplify]: Simplify k into k
1552122428.026 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.026 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.026 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.026 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122428.026 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.026 * [taylor]: Taking taylor expansion of -2 in n
1552122428.026 * [backup-simplify]: Simplify -2 into -2
1552122428.026 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.026 * [taylor]: Taking taylor expansion of PI in n
1552122428.026 * [backup-simplify]: Simplify PI into PI
1552122428.026 * [taylor]: Taking taylor expansion of n in n
1552122428.026 * [backup-simplify]: Simplify 0 into 0
1552122428.026 * [backup-simplify]: Simplify 1 into 1
1552122428.027 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.027 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.028 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.028 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.028 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122428.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.029 * [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)))
1552122428.030 * [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))))
1552122428.030 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122428.030 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122428.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122428.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.030 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.030 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.030 * [taylor]: Taking taylor expansion of k in k
1552122428.030 * [backup-simplify]: Simplify 0 into 0
1552122428.030 * [backup-simplify]: Simplify 1 into 1
1552122428.030 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.030 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.030 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.030 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122428.030 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122428.031 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122428.031 * [taylor]: Taking taylor expansion of -2 in k
1552122428.031 * [backup-simplify]: Simplify -2 into -2
1552122428.031 * [taylor]: Taking taylor expansion of PI in k
1552122428.031 * [backup-simplify]: Simplify PI into PI
1552122428.031 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.031 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.031 * [taylor]: Taking taylor expansion of (log n) in k
1552122428.032 * [taylor]: Taking taylor expansion of n in k
1552122428.032 * [backup-simplify]: Simplify n into n
1552122428.032 * [backup-simplify]: Simplify (log n) into (log n)
1552122428.032 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.032 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.032 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122428.033 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122428.034 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122428.034 * [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))))
1552122428.035 * [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))))
1552122428.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122428.036 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122428.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122428.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122428.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122428.038 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.041 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122428.043 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122428.043 * [taylor]: Taking taylor expansion of 0 in k
1552122428.043 * [backup-simplify]: Simplify 0 into 0
1552122428.043 * [backup-simplify]: Simplify 0 into 0
1552122428.043 * [backup-simplify]: Simplify 0 into 0
1552122428.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.045 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.047 * [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
1552122428.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122428.048 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.050 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122428.052 * [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
1552122428.052 * [taylor]: Taking taylor expansion of 0 in k
1552122428.052 * [backup-simplify]: Simplify 0 into 0
1552122428.052 * [backup-simplify]: Simplify 0 into 0
1552122428.052 * [backup-simplify]: Simplify 0 into 0
1552122428.052 * [backup-simplify]: Simplify 0 into 0
1552122428.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.053 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.056 * [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
1552122428.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.058 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122428.058 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.059 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.060 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552122428.064 * [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
1552122428.064 * [taylor]: Taking taylor expansion of 0 in k
1552122428.064 * [backup-simplify]: Simplify 0 into 0
1552122428.064 * [backup-simplify]: Simplify 0 into 0
1552122428.065 * [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)))))
1552122428.065 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1552122428.065 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552122428.065 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552122428.065 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122428.065 * [taylor]: Taking taylor expansion of 2 in n
1552122428.065 * [backup-simplify]: Simplify 2 into 2
1552122428.066 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122428.066 * [taylor]: Taking taylor expansion of n in n
1552122428.066 * [backup-simplify]: Simplify 0 into 0
1552122428.066 * [backup-simplify]: Simplify 1 into 1
1552122428.066 * [taylor]: Taking taylor expansion of PI in n
1552122428.066 * [backup-simplify]: Simplify PI into PI
1552122428.066 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122428.066 * [taylor]: Taking taylor expansion of 2 in n
1552122428.066 * [backup-simplify]: Simplify 2 into 2
1552122428.066 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122428.066 * [taylor]: Taking taylor expansion of n in n
1552122428.066 * [backup-simplify]: Simplify 0 into 0
1552122428.066 * [backup-simplify]: Simplify 1 into 1
1552122428.066 * [taylor]: Taking taylor expansion of PI in n
1552122428.066 * [backup-simplify]: Simplify PI into PI
1552122428.066 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122428.066 * [backup-simplify]: Simplify (* 2 0) into 0
1552122428.066 * [backup-simplify]: Simplify 0 into 0
1552122428.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122428.068 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122428.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122428.070 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122428.070 * [backup-simplify]: Simplify 0 into 0
1552122428.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.073 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122428.073 * [backup-simplify]: Simplify 0 into 0
1552122428.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122428.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122428.076 * [backup-simplify]: Simplify 0 into 0
1552122428.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122428.079 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552122428.079 * [backup-simplify]: Simplify 0 into 0
1552122428.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122428.083 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552122428.083 * [backup-simplify]: Simplify 0 into 0
1552122428.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552122428.087 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552122428.087 * [backup-simplify]: Simplify 0 into 0
1552122428.088 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552122428.088 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552122428.088 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552122428.088 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122428.088 * [taylor]: Taking taylor expansion of 2 in n
1552122428.088 * [backup-simplify]: Simplify 2 into 2
1552122428.088 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.088 * [taylor]: Taking taylor expansion of PI in n
1552122428.088 * [backup-simplify]: Simplify PI into PI
1552122428.088 * [taylor]: Taking taylor expansion of n in n
1552122428.088 * [backup-simplify]: Simplify 0 into 0
1552122428.088 * [backup-simplify]: Simplify 1 into 1
1552122428.089 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.089 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122428.089 * [taylor]: Taking taylor expansion of 2 in n
1552122428.089 * [backup-simplify]: Simplify 2 into 2
1552122428.089 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.089 * [taylor]: Taking taylor expansion of PI in n
1552122428.089 * [backup-simplify]: Simplify PI into PI
1552122428.089 * [taylor]: Taking taylor expansion of n in n
1552122428.089 * [backup-simplify]: Simplify 0 into 0
1552122428.089 * [backup-simplify]: Simplify 1 into 1
1552122428.090 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.090 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.091 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122428.092 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122428.092 * [backup-simplify]: Simplify 0 into 0
1552122428.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.095 * [backup-simplify]: Simplify 0 into 0
1552122428.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.097 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.097 * [backup-simplify]: Simplify 0 into 0
1552122428.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.099 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122428.099 * [backup-simplify]: Simplify 0 into 0
1552122428.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122428.102 * [backup-simplify]: Simplify 0 into 0
1552122428.104 * [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
1552122428.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122428.106 * [backup-simplify]: Simplify 0 into 0
1552122428.106 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552122428.106 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552122428.107 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552122428.107 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.107 * [taylor]: Taking taylor expansion of -2 in n
1552122428.107 * [backup-simplify]: Simplify -2 into -2
1552122428.107 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.107 * [taylor]: Taking taylor expansion of PI in n
1552122428.107 * [backup-simplify]: Simplify PI into PI
1552122428.107 * [taylor]: Taking taylor expansion of n in n
1552122428.107 * [backup-simplify]: Simplify 0 into 0
1552122428.107 * [backup-simplify]: Simplify 1 into 1
1552122428.107 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.107 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.107 * [taylor]: Taking taylor expansion of -2 in n
1552122428.107 * [backup-simplify]: Simplify -2 into -2
1552122428.107 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.107 * [taylor]: Taking taylor expansion of PI in n
1552122428.107 * [backup-simplify]: Simplify PI into PI
1552122428.107 * [taylor]: Taking taylor expansion of n in n
1552122428.108 * [backup-simplify]: Simplify 0 into 0
1552122428.108 * [backup-simplify]: Simplify 1 into 1
1552122428.108 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.109 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.109 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122428.111 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122428.111 * [backup-simplify]: Simplify 0 into 0
1552122428.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.113 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.113 * [backup-simplify]: Simplify 0 into 0
1552122428.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.115 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.115 * [backup-simplify]: Simplify 0 into 0
1552122428.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.118 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122428.118 * [backup-simplify]: Simplify 0 into 0
1552122428.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.120 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122428.120 * [backup-simplify]: Simplify 0 into 0
1552122428.121 * [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
1552122428.123 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122428.123 * [backup-simplify]: Simplify 0 into 0
1552122428.124 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552122428.124 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1552122428.125 * [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))))
1552122428.125 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1552122428.125 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122428.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122428.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.125 * [taylor]: Taking taylor expansion of k in k
1552122428.125 * [backup-simplify]: Simplify 0 into 0
1552122428.125 * [backup-simplify]: Simplify 1 into 1
1552122428.125 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.126 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.127 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122428.127 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122428.128 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122428.128 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122428.128 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122428.128 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.128 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.128 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122428.128 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.128 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.128 * [taylor]: Taking taylor expansion of k in k
1552122428.128 * [backup-simplify]: Simplify 0 into 0
1552122428.128 * [backup-simplify]: Simplify 1 into 1
1552122428.128 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122428.128 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122428.128 * [taylor]: Taking taylor expansion of 2 in k
1552122428.128 * [backup-simplify]: Simplify 2 into 2
1552122428.128 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122428.128 * [taylor]: Taking taylor expansion of n in k
1552122428.128 * [backup-simplify]: Simplify n into n
1552122428.128 * [taylor]: Taking taylor expansion of PI in k
1552122428.128 * [backup-simplify]: Simplify PI into PI
1552122428.128 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122428.128 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122428.128 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122428.129 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122428.129 * [backup-simplify]: Simplify (- 0) into 0
1552122428.130 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.130 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122428.130 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122428.130 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122428.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122428.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.130 * [taylor]: Taking taylor expansion of k in n
1552122428.130 * [backup-simplify]: Simplify k into k
1552122428.130 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.130 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122428.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122428.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122428.130 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122428.130 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122428.131 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122428.131 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122428.131 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.131 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.131 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122428.131 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.131 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.131 * [taylor]: Taking taylor expansion of k in n
1552122428.131 * [backup-simplify]: Simplify k into k
1552122428.131 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122428.131 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122428.131 * [taylor]: Taking taylor expansion of 2 in n
1552122428.131 * [backup-simplify]: Simplify 2 into 2
1552122428.131 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122428.131 * [taylor]: Taking taylor expansion of n in n
1552122428.131 * [backup-simplify]: Simplify 0 into 0
1552122428.131 * [backup-simplify]: Simplify 1 into 1
1552122428.131 * [taylor]: Taking taylor expansion of PI in n
1552122428.131 * [backup-simplify]: Simplify PI into PI
1552122428.132 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122428.132 * [backup-simplify]: Simplify (* 2 0) into 0
1552122428.133 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122428.134 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122428.135 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.135 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122428.135 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122428.135 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122428.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.136 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122428.137 * [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)))))
1552122428.137 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122428.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122428.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.137 * [taylor]: Taking taylor expansion of k in n
1552122428.137 * [backup-simplify]: Simplify k into k
1552122428.137 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.137 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122428.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122428.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122428.137 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122428.137 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122428.137 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122428.138 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122428.138 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.138 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.138 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122428.138 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.138 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.138 * [taylor]: Taking taylor expansion of k in n
1552122428.138 * [backup-simplify]: Simplify k into k
1552122428.138 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122428.138 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122428.138 * [taylor]: Taking taylor expansion of 2 in n
1552122428.138 * [backup-simplify]: Simplify 2 into 2
1552122428.138 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122428.138 * [taylor]: Taking taylor expansion of n in n
1552122428.138 * [backup-simplify]: Simplify 0 into 0
1552122428.138 * [backup-simplify]: Simplify 1 into 1
1552122428.138 * [taylor]: Taking taylor expansion of PI in n
1552122428.138 * [backup-simplify]: Simplify PI into PI
1552122428.138 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122428.138 * [backup-simplify]: Simplify (* 2 0) into 0
1552122428.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122428.140 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122428.141 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.141 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122428.141 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122428.141 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122428.142 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.142 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122428.143 * [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)))))
1552122428.144 * [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)))
1552122428.144 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1552122428.144 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122428.144 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122428.144 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122428.144 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.144 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.144 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122428.144 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.144 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.144 * [taylor]: Taking taylor expansion of k in k
1552122428.144 * [backup-simplify]: Simplify 0 into 0
1552122428.144 * [backup-simplify]: Simplify 1 into 1
1552122428.144 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122428.144 * [taylor]: Taking taylor expansion of (log n) in k
1552122428.144 * [taylor]: Taking taylor expansion of n in k
1552122428.144 * [backup-simplify]: Simplify n into n
1552122428.144 * [backup-simplify]: Simplify (log n) into (log n)
1552122428.144 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122428.144 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122428.144 * [taylor]: Taking taylor expansion of 2 in k
1552122428.144 * [backup-simplify]: Simplify 2 into 2
1552122428.144 * [taylor]: Taking taylor expansion of PI in k
1552122428.144 * [backup-simplify]: Simplify PI into PI
1552122428.144 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.145 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.145 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122428.145 * [backup-simplify]: Simplify (- 0) into 0
1552122428.146 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.146 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.147 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122428.148 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122428.148 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122428.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.148 * [taylor]: Taking taylor expansion of k in k
1552122428.148 * [backup-simplify]: Simplify 0 into 0
1552122428.148 * [backup-simplify]: Simplify 1 into 1
1552122428.148 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.148 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122428.150 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1552122428.150 * [backup-simplify]: Simplify 0 into 0
1552122428.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122428.151 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122428.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122428.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122428.152 * [backup-simplify]: Simplify (- 0) into 0
1552122428.152 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.153 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.154 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122428.155 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122428.156 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1552122428.156 * [taylor]: Taking taylor expansion of 0 in k
1552122428.156 * [backup-simplify]: Simplify 0 into 0
1552122428.156 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122428.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122428.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122428.158 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.158 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122428.159 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122428.159 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122428.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122428.161 * [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)))))))
1552122428.165 * [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)))))))
1552122428.166 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1552122428.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.169 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122428.171 * [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
1552122428.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122428.172 * [backup-simplify]: Simplify (- 0) into 0
1552122428.172 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.173 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.174 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122428.175 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122428.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.175 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1552122428.176 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1552122428.176 * [taylor]: Taking taylor expansion of 0 in k
1552122428.176 * [backup-simplify]: Simplify 0 into 0
1552122428.176 * [backup-simplify]: Simplify 0 into 0
1552122428.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122428.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122428.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122428.182 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.184 * [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
1552122428.184 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122428.185 * [backup-simplify]: Simplify (- 0) into 0
1552122428.185 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122428.188 * [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)))))
1552122428.194 * [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))))))))
1552122428.197 * [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))))))))
1552122428.198 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122428.198 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122428.202 * [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
1552122428.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1552122428.203 * [backup-simplify]: Simplify (- 0) into 0
1552122428.204 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.205 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122428.207 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552122428.209 * [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
1552122428.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1552122428.212 * [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
1552122428.212 * [taylor]: Taking taylor expansion of 0 in k
1552122428.212 * [backup-simplify]: Simplify 0 into 0
1552122428.212 * [backup-simplify]: Simplify 0 into 0
1552122428.212 * [backup-simplify]: Simplify 0 into 0
1552122428.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122428.220 * [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
1552122428.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.228 * [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
1552122428.228 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552122428.230 * [backup-simplify]: Simplify (- 0) into 0
1552122428.230 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552122428.238 * [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)))))))
1552122428.254 * [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))))))))))))))
1552122428.266 * [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))))))))))))))
1552122428.284 * [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))))))))))))))))))))))
1552122428.285 * [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)))))
1552122428.285 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1552122428.285 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122428.285 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122428.285 * [taylor]: Taking taylor expansion of k in k
1552122428.285 * [backup-simplify]: Simplify 0 into 0
1552122428.285 * [backup-simplify]: Simplify 1 into 1
1552122428.285 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122428.287 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122428.287 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122428.287 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122428.287 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122428.287 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.287 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.287 * [taylor]: Taking taylor expansion of k in k
1552122428.288 * [backup-simplify]: Simplify 0 into 0
1552122428.288 * [backup-simplify]: Simplify 1 into 1
1552122428.288 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.288 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122428.288 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122428.288 * [taylor]: Taking taylor expansion of 2 in k
1552122428.288 * [backup-simplify]: Simplify 2 into 2
1552122428.288 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122428.288 * [taylor]: Taking taylor expansion of PI in k
1552122428.288 * [backup-simplify]: Simplify PI into PI
1552122428.288 * [taylor]: Taking taylor expansion of n in k
1552122428.288 * [backup-simplify]: Simplify n into n
1552122428.288 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122428.288 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122428.288 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122428.289 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.289 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122428.290 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122428.290 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122428.290 * [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))))
1552122428.290 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122428.290 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122428.290 * [taylor]: Taking taylor expansion of k in n
1552122428.290 * [backup-simplify]: Simplify k into k
1552122428.290 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122428.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122428.290 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122428.290 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122428.290 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122428.290 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122428.290 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.290 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.290 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.290 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.291 * [taylor]: Taking taylor expansion of k in n
1552122428.291 * [backup-simplify]: Simplify k into k
1552122428.291 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.291 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122428.291 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122428.291 * [taylor]: Taking taylor expansion of 2 in n
1552122428.291 * [backup-simplify]: Simplify 2 into 2
1552122428.291 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.291 * [taylor]: Taking taylor expansion of PI in n
1552122428.291 * [backup-simplify]: Simplify PI into PI
1552122428.291 * [taylor]: Taking taylor expansion of n in n
1552122428.291 * [backup-simplify]: Simplify 0 into 0
1552122428.291 * [backup-simplify]: Simplify 1 into 1
1552122428.291 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.292 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.293 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.293 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122428.293 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122428.294 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.296 * [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)))
1552122428.297 * [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))))
1552122428.297 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122428.297 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122428.297 * [taylor]: Taking taylor expansion of k in n
1552122428.297 * [backup-simplify]: Simplify k into k
1552122428.297 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122428.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122428.297 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122428.297 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122428.297 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122428.297 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122428.297 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.297 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.298 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.298 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.298 * [taylor]: Taking taylor expansion of k in n
1552122428.298 * [backup-simplify]: Simplify k into k
1552122428.298 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.298 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122428.298 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122428.298 * [taylor]: Taking taylor expansion of 2 in n
1552122428.298 * [backup-simplify]: Simplify 2 into 2
1552122428.298 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.298 * [taylor]: Taking taylor expansion of PI in n
1552122428.298 * [backup-simplify]: Simplify PI into PI
1552122428.298 * [taylor]: Taking taylor expansion of n in n
1552122428.298 * [backup-simplify]: Simplify 0 into 0
1552122428.298 * [backup-simplify]: Simplify 1 into 1
1552122428.299 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.299 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.302 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.302 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.302 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122428.303 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122428.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.305 * [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)))
1552122428.306 * [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))))
1552122428.307 * [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))
1552122428.307 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1552122428.307 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122428.307 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122428.307 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122428.307 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.307 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.308 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.308 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.308 * [taylor]: Taking taylor expansion of k in k
1552122428.308 * [backup-simplify]: Simplify 0 into 0
1552122428.308 * [backup-simplify]: Simplify 1 into 1
1552122428.308 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.308 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122428.308 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122428.308 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122428.308 * [taylor]: Taking taylor expansion of 2 in k
1552122428.308 * [backup-simplify]: Simplify 2 into 2
1552122428.308 * [taylor]: Taking taylor expansion of PI in k
1552122428.308 * [backup-simplify]: Simplify PI into PI
1552122428.309 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122428.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122428.310 * [taylor]: Taking taylor expansion of (log n) in k
1552122428.310 * [taylor]: Taking taylor expansion of n in k
1552122428.310 * [backup-simplify]: Simplify n into n
1552122428.310 * [backup-simplify]: Simplify (log n) into (log n)
1552122428.310 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.311 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122428.311 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122428.311 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122428.312 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122428.313 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122428.314 * [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))))
1552122428.314 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122428.314 * [taylor]: Taking taylor expansion of k in k
1552122428.314 * [backup-simplify]: Simplify 0 into 0
1552122428.314 * [backup-simplify]: Simplify 1 into 1
1552122428.315 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.316 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122428.317 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1552122428.317 * [backup-simplify]: Simplify 0 into 0
1552122428.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122428.319 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122428.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122428.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122428.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122428.322 * [backup-simplify]: Simplify (- 0) into 0
1552122428.322 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.323 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.324 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122428.326 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122428.327 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552122428.327 * [taylor]: Taking taylor expansion of 0 in k
1552122428.327 * [backup-simplify]: Simplify 0 into 0
1552122428.328 * [backup-simplify]: Simplify 0 into 0
1552122428.329 * [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))))))
1552122428.330 * [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))))))
1552122428.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.331 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.333 * [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
1552122428.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122428.334 * [backup-simplify]: Simplify (- 0) into 0
1552122428.334 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.336 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122428.337 * [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
1552122428.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1552122428.338 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552122428.338 * [taylor]: Taking taylor expansion of 0 in k
1552122428.338 * [backup-simplify]: Simplify 0 into 0
1552122428.338 * [backup-simplify]: Simplify 0 into 0
1552122428.338 * [backup-simplify]: Simplify 0 into 0
1552122428.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122428.341 * [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))))))
1552122428.342 * [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))))))
1552122428.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122428.346 * [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
1552122428.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122428.348 * [backup-simplify]: Simplify (- 0) into 0
1552122428.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122428.350 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122428.351 * [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
1552122428.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1552122428.353 * [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
1552122428.353 * [taylor]: Taking taylor expansion of 0 in k
1552122428.353 * [backup-simplify]: Simplify 0 into 0
1552122428.353 * [backup-simplify]: Simplify 0 into 0
1552122428.353 * [backup-simplify]: Simplify 0 into 0
1552122428.353 * [backup-simplify]: Simplify 0 into 0
1552122428.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122428.356 * [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))))))
1552122428.357 * [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))))))
1552122428.359 * [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))))))))
1552122428.360 * [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)))
1552122428.360 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1552122428.360 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122428.360 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122428.360 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122428.360 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122428.360 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122428.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.360 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.360 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.360 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.360 * [taylor]: Taking taylor expansion of k in k
1552122428.360 * [backup-simplify]: Simplify 0 into 0
1552122428.360 * [backup-simplify]: Simplify 1 into 1
1552122428.360 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.360 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.360 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.360 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122428.360 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122428.360 * [taylor]: Taking taylor expansion of -2 in k
1552122428.360 * [backup-simplify]: Simplify -2 into -2
1552122428.360 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122428.360 * [taylor]: Taking taylor expansion of PI in k
1552122428.360 * [backup-simplify]: Simplify PI into PI
1552122428.360 * [taylor]: Taking taylor expansion of n in k
1552122428.360 * [backup-simplify]: Simplify n into n
1552122428.360 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122428.360 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122428.360 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122428.361 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.361 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.361 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122428.361 * [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)))
1552122428.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122428.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122428.361 * [taylor]: Taking taylor expansion of -1 in k
1552122428.361 * [backup-simplify]: Simplify -1 into -1
1552122428.361 * [taylor]: Taking taylor expansion of k in k
1552122428.361 * [backup-simplify]: Simplify 0 into 0
1552122428.361 * [backup-simplify]: Simplify 1 into 1
1552122428.362 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122428.362 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.363 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122428.364 * [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))))
1552122428.364 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122428.364 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122428.364 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122428.364 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122428.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122428.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.364 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.364 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.364 * [taylor]: Taking taylor expansion of k in n
1552122428.364 * [backup-simplify]: Simplify k into k
1552122428.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.364 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.364 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.364 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122428.364 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.364 * [taylor]: Taking taylor expansion of -2 in n
1552122428.364 * [backup-simplify]: Simplify -2 into -2
1552122428.364 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.364 * [taylor]: Taking taylor expansion of PI in n
1552122428.364 * [backup-simplify]: Simplify PI into PI
1552122428.364 * [taylor]: Taking taylor expansion of n in n
1552122428.364 * [backup-simplify]: Simplify 0 into 0
1552122428.364 * [backup-simplify]: Simplify 1 into 1
1552122428.365 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.365 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.366 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.366 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.366 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122428.368 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.369 * [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)))
1552122428.370 * [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))))
1552122428.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122428.370 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122428.370 * [taylor]: Taking taylor expansion of -1 in n
1552122428.370 * [backup-simplify]: Simplify -1 into -1
1552122428.370 * [taylor]: Taking taylor expansion of k in n
1552122428.370 * [backup-simplify]: Simplify k into k
1552122428.370 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122428.370 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122428.370 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122428.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122428.371 * [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)))
1552122428.371 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122428.371 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122428.371 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122428.371 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122428.372 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122428.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122428.372 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.372 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122428.372 * [taylor]: Taking taylor expansion of k in n
1552122428.372 * [backup-simplify]: Simplify k into k
1552122428.372 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122428.372 * [taylor]: Taking taylor expansion of 1/2 in n
1552122428.372 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.372 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122428.372 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122428.372 * [taylor]: Taking taylor expansion of -2 in n
1552122428.372 * [backup-simplify]: Simplify -2 into -2
1552122428.372 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122428.372 * [taylor]: Taking taylor expansion of PI in n
1552122428.372 * [backup-simplify]: Simplify PI into PI
1552122428.372 * [taylor]: Taking taylor expansion of n in n
1552122428.372 * [backup-simplify]: Simplify 0 into 0
1552122428.372 * [backup-simplify]: Simplify 1 into 1
1552122428.373 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122428.373 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.374 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.374 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122428.374 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122428.376 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.377 * [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)))
1552122428.378 * [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))))
1552122428.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122428.378 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122428.378 * [taylor]: Taking taylor expansion of -1 in n
1552122428.378 * [backup-simplify]: Simplify -1 into -1
1552122428.378 * [taylor]: Taking taylor expansion of k in n
1552122428.378 * [backup-simplify]: Simplify k into k
1552122428.378 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122428.378 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122428.378 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122428.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122428.380 * [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)))
1552122428.380 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1552122428.380 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122428.380 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122428.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122428.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122428.380 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.380 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122428.380 * [taylor]: Taking taylor expansion of k in k
1552122428.380 * [backup-simplify]: Simplify 0 into 0
1552122428.380 * [backup-simplify]: Simplify 1 into 1
1552122428.380 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122428.380 * [taylor]: Taking taylor expansion of 1/2 in k
1552122428.380 * [backup-simplify]: Simplify 1/2 into 1/2
1552122428.381 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122428.381 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122428.381 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122428.381 * [taylor]: Taking taylor expansion of -2 in k
1552122428.381 * [backup-simplify]: Simplify -2 into -2
1552122428.381 * [taylor]: Taking taylor expansion of PI in k
1552122428.381 * [backup-simplify]: Simplify PI into PI
1552122428.381 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122428.382 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122428.382 * [taylor]: Taking taylor expansion of (log n) in k
1552122428.382 * [taylor]: Taking taylor expansion of n in k
1552122428.382 * [backup-simplify]: Simplify n into n
1552122428.382 * [backup-simplify]: Simplify (log n) into (log n)
1552122428.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122428.383 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122428.383 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122428.384 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122428.385 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122428.386 * [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))))
1552122428.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122428.386 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122428.386 * [taylor]: Taking taylor expansion of -1 in k
1552122428.386 * [backup-simplify]: Simplify -1 into -1
1552122428.386 * [taylor]: Taking taylor expansion of k in k
1552122428.386 * [backup-simplify]: Simplify 0 into 0
1552122428.386 * [backup-simplify]: Simplify 1 into 1
1552122428.387 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122428.387 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122428.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122428.390 * [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)))))
1552122428.392 * [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)))))
1552122428.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122428.394 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122428.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122428.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122428.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122428.397 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.400 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122428.401 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122428.403 * [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
1552122428.403 * [taylor]: Taking taylor expansion of 0 in k
1552122428.403 * [backup-simplify]: Simplify 0 into 0
1552122428.403 * [backup-simplify]: Simplify 0 into 0
1552122428.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122428.407 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122428.409 * [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))))))
1552122428.410 * [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))))))
1552122428.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.412 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122428.415 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1552122428.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122428.417 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122428.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122428.420 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122428.422 * [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
1552122428.422 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122428.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1552122428.423 * [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
1552122428.423 * [taylor]: Taking taylor expansion of 0 in k
1552122428.423 * [backup-simplify]: Simplify 0 into 0
1552122428.423 * [backup-simplify]: Simplify 0 into 0
1552122428.423 * [backup-simplify]: Simplify 0 into 0
1552122428.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122428.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122428.428 * [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))))))
1552122428.429 * [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))))))
1552122428.431 * [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)))))))))))
1552122428.431 * * * [progress]: simplifying candidates
1552122428.431 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1552122428.431 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552122428.431 * * [simplify]: iters left: 6 (11 enodes)
1552122428.435 * * [simplify]: iters left: 5 (43 enodes)
1552122428.441 * * [simplify]: iters left: 4 (79 enodes)
1552122428.463 * * [simplify]: iters left: 3 (174 enodes)
1552122428.544 * * [simplify]: iters left: 2 (469 enodes)
1552122428.823 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122428.823 * * [simplify]: Extracting #1: cost 84 inf + 0
1552122428.825 * * [simplify]: Extracting #2: cost 306 inf + 0
1552122428.827 * * [simplify]: Extracting #3: cost 323 inf + 700
1552122428.832 * * [simplify]: Extracting #4: cost 264 inf + 10482
1552122428.853 * * [simplify]: Extracting #5: cost 52 inf + 75582
1552122428.872 * * [simplify]: Extracting #6: cost 0 inf + 94795
1552122428.912 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552122428.912 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
1552122428.913 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1552122428.913 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1552122428.913 * [simplify]: Simplifying (* (* n 2) PI)
1552122428.913 * * [simplify]: iters left: 4 (5 enodes)
1552122428.916 * * [simplify]: iters left: 3 (19 enodes)
1552122428.921 * * [simplify]: iters left: 2 (27 enodes)
1552122428.928 * * [simplify]: iters left: 1 (32 enodes)
1552122428.935 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122428.935 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122428.935 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122428.935 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122428.936 * [simplify]: Simplified to (* (* n 2) PI)
1552122428.936 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1552122428.936 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1552122428.936 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122428.936 * * [simplify]: iters left: 5 (8 enodes)
1552122428.941 * * [simplify]: iters left: 4 (28 enodes)
1552122428.950 * * [simplify]: iters left: 3 (36 enodes)
1552122428.960 * * [simplify]: iters left: 2 (41 enodes)
1552122428.970 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122428.970 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122428.970 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122428.970 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122428.971 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122428.971 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122428.971 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122428.972 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1552122428.972 * * * * [progress]: [ 5 / 80 ] 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)))>
1552122428.972 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552122428.972 * * [simplify]: iters left: 5 (6 enodes)
1552122428.976 * * [simplify]: iters left: 4 (20 enodes)
1552122428.983 * * [simplify]: iters left: 3 (25 enodes)
1552122428.990 * * [simplify]: iters left: 2 (27 enodes)
1552122428.998 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122428.998 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122428.998 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122428.998 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122428.998 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122428.998 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122428.998 * * [simplify]: Extracting #6: cost 1 inf + 662
1552122428.998 * * [simplify]: Extracting #7: cost 0 inf + 825
1552122428.998 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552122428.998 * [simplify]: Simplified (2 1 2) to (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)))
1552122428.998 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1552122428.999 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552122428.999 * * [simplify]: iters left: 5 (6 enodes)
1552122429.001 * * [simplify]: iters left: 4 (20 enodes)
1552122429.004 * * [simplify]: iters left: 3 (25 enodes)
1552122429.008 * * [simplify]: iters left: 2 (27 enodes)
1552122429.011 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.011 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122429.011 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122429.011 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122429.012 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122429.012 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122429.012 * * [simplify]: Extracting #6: cost 1 inf + 622
1552122429.012 * * [simplify]: Extracting #7: cost 0 inf + 745
1552122429.012 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552122429.012 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))
1552122429.012 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.012 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552122429.012 * * [simplify]: iters left: 4 (5 enodes)
1552122429.014 * * [simplify]: iters left: 3 (17 enodes)
1552122429.017 * * [simplify]: iters left: 2 (22 enodes)
1552122429.020 * * [simplify]: iters left: 1 (24 enodes)
1552122429.024 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.024 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122429.024 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122429.024 * * [simplify]: Extracting #3: cost 1 inf + 458
1552122429.025 * * [simplify]: Extracting #4: cost 0 inf + 499
1552122429.025 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552122429.025 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))
1552122429.025 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1552122429.025 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122429.025 * * [simplify]: iters left: 5 (9 enodes)
1552122429.028 * * [simplify]: iters left: 4 (33 enodes)
1552122429.033 * * [simplify]: iters left: 3 (43 enodes)
1552122429.039 * * [simplify]: iters left: 2 (48 enodes)
1552122429.045 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.045 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122429.045 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122429.046 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122429.046 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122429.046 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122429.046 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122429.046 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122429.047 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1552122429.047 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1552122429.047 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122429.047 * * [simplify]: iters left: 5 (9 enodes)
1552122429.049 * * [simplify]: iters left: 4 (33 enodes)
1552122429.054 * * [simplify]: iters left: 3 (43 enodes)
1552122429.060 * * [simplify]: iters left: 2 (48 enodes)
1552122429.066 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.066 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122429.066 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122429.066 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122429.066 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122429.066 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122429.066 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122429.067 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122429.067 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1552122429.067 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
1552122429.067 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552122429.067 * * [simplify]: iters left: 5 (8 enodes)
1552122429.069 * * [simplify]: iters left: 4 (27 enodes)
1552122429.077 * * [simplify]: iters left: 3 (32 enodes)
1552122429.087 * * [simplify]: iters left: 2 (34 enodes)
1552122429.097 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.097 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122429.097 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122429.097 * * [simplify]: Extracting #3: cost 12 inf + 3
1552122429.097 * * [simplify]: Extracting #4: cost 8 inf + 171
1552122429.097 * * [simplify]: Extracting #5: cost 1 inf + 918
1552122429.098 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552122429.098 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552122429.098 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
1552122429.098 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1552122429.098 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552122429.098 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 14 / 80 ] 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)))>
1552122429.099 * * * * [progress]: [ 15 / 80 ] 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)))>
1552122429.099 * * * * [progress]: [ 16 / 80 ] 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)))>
1552122429.099 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 21 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 22 / 80 ] 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)))>
1552122429.099 * * * * [progress]: [ 23 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122429.099 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1552122429.100 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1552122429.100 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552122429.100 * * [simplify]: iters left: 6 (14 enodes)
1552122429.106 * * [simplify]: iters left: 5 (54 enodes)
1552122429.114 * * [simplify]: iters left: 4 (93 enodes)
1552122429.132 * * [simplify]: iters left: 3 (211 enodes)
1552122429.223 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.223 * * [simplify]: Extracting #1: cost 42 inf + 0
1552122429.224 * * [simplify]: Extracting #2: cost 140 inf + 0
1552122429.225 * * [simplify]: Extracting #3: cost 174 inf + 73
1552122429.226 * * [simplify]: Extracting #4: cost 166 inf + 1096
1552122429.228 * * [simplify]: Extracting #5: cost 109 inf + 11866
1552122429.235 * * [simplify]: Extracting #6: cost 16 inf + 39971
1552122429.244 * * [simplify]: Extracting #7: cost 0 inf + 46184
1552122429.254 * * [simplify]: Extracting #8: cost 0 inf + 46104
1552122429.263 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552122429.263 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552122429.263 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1552122429.264 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552122429.264 * * [simplify]: iters left: 6 (14 enodes)
1552122429.267 * * [simplify]: iters left: 5 (54 enodes)
1552122429.275 * * [simplify]: iters left: 4 (93 enodes)
1552122429.293 * * [simplify]: iters left: 3 (211 enodes)
1552122429.368 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.368 * * [simplify]: Extracting #1: cost 42 inf + 0
1552122429.368 * * [simplify]: Extracting #2: cost 140 inf + 0
1552122429.369 * * [simplify]: Extracting #3: cost 174 inf + 73
1552122429.370 * * [simplify]: Extracting #4: cost 166 inf + 1096
1552122429.372 * * [simplify]: Extracting #5: cost 109 inf + 11866
1552122429.378 * * [simplify]: Extracting #6: cost 16 inf + 39971
1552122429.388 * * [simplify]: Extracting #7: cost 0 inf + 46184
1552122429.397 * * [simplify]: Extracting #8: cost 0 inf + 46104
1552122429.407 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552122429.407 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552122429.407 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1552122429.407 * [simplify]: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
1552122429.407 * * [simplify]: iters left: 6 (14 enodes)
1552122429.411 * * [simplify]: iters left: 5 (52 enodes)
1552122429.419 * * [simplify]: iters left: 4 (78 enodes)
1552122429.432 * * [simplify]: iters left: 3 (129 enodes)
1552122429.468 * * [simplify]: iters left: 2 (301 enodes)
1552122429.642 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.642 * * [simplify]: Extracting #1: cost 95 inf + 0
1552122429.643 * * [simplify]: Extracting #2: cost 251 inf + 0
1552122429.645 * * [simplify]: Extracting #3: cost 268 inf + 185
1552122429.652 * * [simplify]: Extracting #4: cost 245 inf + 2717
1552122429.659 * * [simplify]: Extracting #5: cost 109 inf + 39317
1552122429.676 * * [simplify]: Extracting #6: cost 4 inf + 84912
1552122429.699 * * [simplify]: Extracting #7: cost 0 inf + 86901
1552122429.734 * [simplify]: Simplified to (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k)))
1552122429.734 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1552122429.735 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552122429.735 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552122429.735 * * * * [progress]: [ 35 / 80 ] 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)))))>
1552122429.735 * [simplify]: Simplifying (/ (* (* (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)))
1552122429.735 * * [simplify]: iters left: 6 (16 enodes)
1552122429.743 * * [simplify]: iters left: 5 (61 enodes)
1552122429.756 * * [simplify]: iters left: 4 (113 enodes)
1552122429.775 * * [simplify]: iters left: 3 (185 enodes)
1552122429.810 * * [simplify]: iters left: 2 (215 enodes)
1552122429.851 * * [simplify]: iters left: 1 (221 enodes)
1552122429.891 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.891 * * [simplify]: Extracting #1: cost 22 inf + 0
1552122429.891 * * [simplify]: Extracting #2: cost 41 inf + 123
1552122429.892 * * [simplify]: Extracting #3: cost 49 inf + 246
1552122429.892 * * [simplify]: Extracting #4: cost 51 inf + 250
1552122429.892 * * [simplify]: Extracting #5: cost 39 inf + 1291
1552122429.895 * * [simplify]: Extracting #6: cost 5 inf + 15749
1552122429.898 * * [simplify]: Extracting #7: cost 0 inf + 18264
1552122429.902 * [simplify]: Simplified to (/ (* (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) k))
1552122429.902 * [simplify]: Simplified (2 1) to (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) k))))
1552122429.902 * * * * [progress]: [ 36 / 80 ] 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)))))>
1552122429.902 * * * * [progress]: [ 37 / 80 ] 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)))))>
1552122429.902 * * * * [progress]: [ 38 / 80 ] 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)))))>
1552122429.902 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1552122429.902 * * * * [progress]: [ 40 / 80 ] 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)))))>
1552122429.902 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122429.903 * * [simplify]: iters left: 6 (12 enodes)
1552122429.905 * * [simplify]: iters left: 5 (43 enodes)
1552122429.913 * * [simplify]: iters left: 4 (53 enodes)
1552122429.927 * * [simplify]: iters left: 3 (59 enodes)
1552122429.934 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.934 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122429.934 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122429.934 * * [simplify]: Extracting #3: cost 21 inf + 1
1552122429.934 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122429.935 * * [simplify]: Extracting #5: cost 12 inf + 460
1552122429.936 * * [simplify]: Extracting #6: cost 2 inf + 1923
1552122429.936 * * [simplify]: Extracting #7: cost 0 inf + 2531
1552122429.937 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122429.937 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1552122429.937 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1552122429.937 * * [simplify]: iters left: 6 (12 enodes)
1552122429.940 * * [simplify]: iters left: 5 (42 enodes)
1552122429.946 * * [simplify]: iters left: 4 (52 enodes)
1552122429.952 * * [simplify]: iters left: 3 (58 enodes)
1552122429.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122429.961 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122429.961 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122429.961 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122429.962 * * [simplify]: Extracting #4: cost 19 inf + 128
1552122429.962 * * [simplify]: Extracting #5: cost 4 inf + 1367
1552122429.963 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122429.963 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122429.964 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1552122429.964 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1552122429.964 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1552122429.965 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1552122429.965 * * [simplify]: iters left: 6 (11 enodes)
1552122429.970 * * [simplify]: iters left: 5 (38 enodes)
1552122429.981 * * [simplify]: iters left: 4 (46 enodes)
1552122429.994 * * [simplify]: iters left: 3 (51 enodes)
1552122430.006 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.006 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.006 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.006 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122430.007 * * [simplify]: Extracting #4: cost 16 inf + 5
1552122430.007 * * [simplify]: Extracting #5: cost 2 inf + 913
1552122430.007 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552122430.008 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552122430.009 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1552122430.009 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1552122430.009 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1552122430.009 * * [simplify]: iters left: 6 (12 enodes)
1552122430.014 * * [simplify]: iters left: 5 (42 enodes)
1552122430.020 * * [simplify]: iters left: 4 (52 enodes)
1552122430.027 * * [simplify]: iters left: 3 (58 enodes)
1552122430.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.034 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.034 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122430.034 * * [simplify]: Extracting #4: cost 19 inf + 128
1552122430.034 * * [simplify]: Extracting #5: cost 4 inf + 1287
1552122430.035 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122430.035 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122430.035 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1552122430.035 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1552122430.036 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1552122430.036 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1552122430.036 * * [simplify]: iters left: 6 (9 enodes)
1552122430.040 * * [simplify]: iters left: 5 (32 enodes)
1552122430.045 * * [simplify]: iters left: 4 (44 enodes)
1552122430.057 * * [simplify]: iters left: 3 (49 enodes)
1552122430.069 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.070 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122430.070 * * [simplify]: Extracting #2: cost 10 inf + 2
1552122430.070 * * [simplify]: Extracting #3: cost 9 inf + 47
1552122430.070 * * [simplify]: Extracting #4: cost 0 inf + 669
1552122430.071 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1552122430.071 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552122430.071 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552122430.071 * * [simplify]: iters left: 6 (11 enodes)
1552122430.076 * * [simplify]: iters left: 5 (39 enodes)
1552122430.087 * * [simplify]: iters left: 4 (49 enodes)
1552122430.100 * * [simplify]: iters left: 3 (54 enodes)
1552122430.114 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.114 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.114 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.114 * * [simplify]: Extracting #3: cost 16 inf + 83
1552122430.114 * * [simplify]: Extracting #4: cost 16 inf + 169
1552122430.115 * * [simplify]: Extracting #5: cost 3 inf + 1500
1552122430.115 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122430.116 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552122430.116 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552122430.116 * * * * [progress]: [ 43 / 80 ] 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)))))>
1552122430.116 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.117 * * [simplify]: iters left: 6 (12 enodes)
1552122430.122 * * [simplify]: iters left: 5 (43 enodes)
1552122430.129 * * [simplify]: iters left: 4 (53 enodes)
1552122430.136 * * [simplify]: iters left: 3 (59 enodes)
1552122430.143 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.143 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122430.143 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122430.143 * * [simplify]: Extracting #3: cost 21 inf + 1
1552122430.143 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122430.143 * * [simplify]: Extracting #5: cost 12 inf + 460
1552122430.144 * * [simplify]: Extracting #6: cost 2 inf + 1923
1552122430.144 * * [simplify]: Extracting #7: cost 0 inf + 2531
1552122430.144 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.144 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))
1552122430.145 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1552122430.145 * * [simplify]: iters left: 6 (12 enodes)
1552122430.147 * * [simplify]: iters left: 5 (42 enodes)
1552122430.155 * * [simplify]: iters left: 4 (52 enodes)
1552122430.166 * * [simplify]: iters left: 3 (58 enodes)
1552122430.181 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.181 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.181 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.181 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122430.181 * * [simplify]: Extracting #4: cost 19 inf + 128
1552122430.182 * * [simplify]: Extracting #5: cost 4 inf + 1367
1552122430.182 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122430.183 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122430.184 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1552122430.184 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))))
1552122430.184 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1552122430.185 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1552122430.185 * * [simplify]: iters left: 6 (11 enodes)
1552122430.190 * * [simplify]: iters left: 5 (38 enodes)
1552122430.201 * * [simplify]: iters left: 4 (46 enodes)
1552122430.214 * * [simplify]: iters left: 3 (51 enodes)
1552122430.227 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.227 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.227 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.227 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122430.227 * * [simplify]: Extracting #4: cost 16 inf + 5
1552122430.227 * * [simplify]: Extracting #5: cost 2 inf + 913
1552122430.228 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552122430.229 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552122430.229 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1552122430.230 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1552122430.230 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1552122430.230 * * [simplify]: iters left: 6 (12 enodes)
1552122430.235 * * [simplify]: iters left: 5 (42 enodes)
1552122430.242 * * [simplify]: iters left: 4 (52 enodes)
1552122430.249 * * [simplify]: iters left: 3 (58 enodes)
1552122430.256 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.256 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.256 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.256 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122430.256 * * [simplify]: Extracting #4: cost 19 inf + 128
1552122430.256 * * [simplify]: Extracting #5: cost 4 inf + 1287
1552122430.257 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122430.257 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122430.258 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1552122430.258 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1552122430.258 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1552122430.258 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1552122430.258 * * [simplify]: iters left: 6 (9 enodes)
1552122430.261 * * [simplify]: iters left: 5 (32 enodes)
1552122430.266 * * [simplify]: iters left: 4 (44 enodes)
1552122430.273 * * [simplify]: iters left: 3 (49 enodes)
1552122430.284 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.284 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122430.284 * * [simplify]: Extracting #2: cost 10 inf + 2
1552122430.284 * * [simplify]: Extracting #3: cost 9 inf + 47
1552122430.284 * * [simplify]: Extracting #4: cost 0 inf + 669
1552122430.284 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1552122430.284 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552122430.285 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552122430.285 * * [simplify]: iters left: 6 (11 enodes)
1552122430.287 * * [simplify]: iters left: 5 (39 enodes)
1552122430.293 * * [simplify]: iters left: 4 (49 enodes)
1552122430.299 * * [simplify]: iters left: 3 (54 enodes)
1552122430.306 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.306 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.306 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.306 * * [simplify]: Extracting #3: cost 16 inf + 83
1552122430.307 * * [simplify]: Extracting #4: cost 16 inf + 169
1552122430.307 * * [simplify]: Extracting #5: cost 3 inf + 1500
1552122430.308 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122430.308 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1552122430.308 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1552122430.309 * * * * [progress]: [ 46 / 80 ] 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)))))>
1552122430.309 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.309 * * [simplify]: iters left: 6 (12 enodes)
1552122430.315 * * [simplify]: iters left: 5 (41 enodes)
1552122430.327 * * [simplify]: iters left: 4 (48 enodes)
1552122430.339 * * [simplify]: iters left: 3 (50 enodes)
1552122430.346 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.346 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122430.346 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122430.346 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122430.346 * * [simplify]: Extracting #4: cost 20 inf + 46
1552122430.347 * * [simplify]: Extracting #5: cost 8 inf + 1494
1552122430.347 * * [simplify]: Extracting #6: cost 2 inf + 2926
1552122430.347 * * [simplify]: Extracting #7: cost 0 inf + 3954
1552122430.348 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.348 * [simplify]: Simplified (2 1) to (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)))))
1552122430.348 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552122430.348 * * [simplify]: iters left: 6 (10 enodes)
1552122430.351 * * [simplify]: iters left: 5 (32 enodes)
1552122430.355 * * [simplify]: iters left: 4 (37 enodes)
1552122430.364 * * [simplify]: iters left: 3 (39 enodes)
1552122430.374 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.374 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.374 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.376 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122430.376 * * [simplify]: Extracting #4: cost 14 inf + 85
1552122430.376 * * [simplify]: Extracting #5: cost 11 inf + 369
1552122430.377 * * [simplify]: Extracting #6: cost 6 inf + 659
1552122430.377 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552122430.377 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552122430.377 * [simplify]: Simplified (2 2) to (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)))))
1552122430.377 * * * * [progress]: [ 47 / 80 ] 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)))))>
1552122430.378 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122430.378 * * [simplify]: iters left: 6 (11 enodes)
1552122430.380 * * [simplify]: iters left: 5 (36 enodes)
1552122430.385 * * [simplify]: iters left: 4 (41 enodes)
1552122430.392 * * [simplify]: iters left: 3 (43 enodes)
1552122430.397 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.397 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.397 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.397 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122430.398 * * [simplify]: Extracting #4: cost 12 inf + 291
1552122430.398 * * [simplify]: Extracting #5: cost 4 inf + 1121
1552122430.398 * * [simplify]: Extracting #6: cost 0 inf + 2404
1552122430.398 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122430.398 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552122430.399 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122430.399 * * [simplify]: iters left: 6 (10 enodes)
1552122430.401 * * [simplify]: iters left: 5 (32 enodes)
1552122430.410 * * [simplify]: iters left: 4 (37 enodes)
1552122430.420 * * [simplify]: iters left: 3 (39 enodes)
1552122430.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.431 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.431 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.431 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122430.431 * * [simplify]: Extracting #4: cost 14 inf + 85
1552122430.432 * * [simplify]: Extracting #5: cost 11 inf + 289
1552122430.432 * * [simplify]: Extracting #6: cost 6 inf + 579
1552122430.432 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552122430.433 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122430.433 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552122430.433 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
1552122430.434 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
1552122430.434 * * [simplify]: iters left: 6 (10 enodes)
1552122430.439 * * [simplify]: iters left: 5 (33 enodes)
1552122430.449 * * [simplify]: iters left: 4 (40 enodes)
1552122430.460 * * [simplify]: iters left: 3 (42 enodes)
1552122430.472 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.472 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122430.472 * * [simplify]: Extracting #2: cost 11 inf + 1
1552122430.472 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122430.472 * * [simplify]: Extracting #4: cost 7 inf + 214
1552122430.473 * * [simplify]: Extracting #5: cost 0 inf + 1253
1552122430.473 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552122430.473 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1552122430.473 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1552122430.473 * * [simplify]: iters left: 6 (9 enodes)
1552122430.478 * * [simplify]: iters left: 5 (29 enodes)
1552122430.486 * * [simplify]: iters left: 4 (34 enodes)
1552122430.497 * * [simplify]: iters left: 3 (36 enodes)
1552122430.509 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.509 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.509 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122430.509 * * [simplify]: Extracting #3: cost 9 inf + 84
1552122430.509 * * [simplify]: Extracting #4: cost 12 inf + 85
1552122430.509 * * [simplify]: Extracting #5: cost 10 inf + 209
1552122430.510 * * [simplify]: Extracting #6: cost 6 inf + 457
1552122430.510 * * [simplify]: Extracting #7: cost 1 inf + 1624
1552122430.511 * * [simplify]: Extracting #8: cost 0 inf + 1918
1552122430.511 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1552122430.511 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1552122430.511 * * * * [progress]: [ 49 / 80 ] 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)))))>
1552122430.512 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.512 * * [simplify]: iters left: 6 (16 enodes)
1552122430.519 * * [simplify]: iters left: 5 (60 enodes)
1552122430.537 * * [simplify]: iters left: 4 (88 enodes)
1552122430.562 * * [simplify]: iters left: 3 (102 enodes)
1552122430.587 * * [simplify]: iters left: 2 (105 enodes)
1552122430.613 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.613 * * [simplify]: Extracting #1: cost 11 inf + 0
1552122430.613 * * [simplify]: Extracting #2: cost 22 inf + 0
1552122430.613 * * [simplify]: Extracting #3: cost 27 inf + 0
1552122430.613 * * [simplify]: Extracting #4: cost 35 inf + 163
1552122430.614 * * [simplify]: Extracting #5: cost 32 inf + 693
1552122430.614 * * [simplify]: Extracting #6: cost 20 inf + 1775
1552122430.616 * * [simplify]: Extracting #7: cost 3 inf + 10110
1552122430.619 * * [simplify]: Extracting #8: cost 0 inf + 11915
1552122430.622 * [simplify]: Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
1552122430.622 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552122430.623 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552122430.623 * * [simplify]: iters left: 6 (14 enodes)
1552122430.629 * * [simplify]: iters left: 5 (48 enodes)
1552122430.636 * * [simplify]: iters left: 4 (61 enodes)
1552122430.646 * * [simplify]: iters left: 3 (69 enodes)
1552122430.654 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.654 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.654 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122430.654 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122430.654 * * [simplify]: Extracting #4: cost 22 inf + 42
1552122430.654 * * [simplify]: Extracting #5: cost 20 inf + 371
1552122430.655 * * [simplify]: Extracting #6: cost 7 inf + 1535
1552122430.655 * * [simplify]: Extracting #7: cost 1 inf + 3518
1552122430.656 * * [simplify]: Extracting #8: cost 0 inf + 4133
1552122430.656 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552122430.656 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552122430.656 * * * * [progress]: [ 50 / 80 ] 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)))))>
1552122430.657 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1552122430.657 * * [simplify]: iters left: 6 (15 enodes)
1552122430.663 * * [simplify]: iters left: 5 (53 enodes)
1552122430.676 * * [simplify]: iters left: 4 (70 enodes)
1552122430.686 * * [simplify]: iters left: 3 (80 enodes)
1552122430.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.696 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122430.696 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122430.696 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122430.696 * * [simplify]: Extracting #4: cost 25 inf + 245
1552122430.696 * * [simplify]: Extracting #5: cost 27 inf + 249
1552122430.696 * * [simplify]: Extracting #6: cost 15 inf + 1542
1552122430.697 * * [simplify]: Extracting #7: cost 1 inf + 6768
1552122430.698 * * [simplify]: Extracting #8: cost 0 inf + 7343
1552122430.699 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
1552122430.699 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552122430.699 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122430.699 * * [simplify]: iters left: 6 (14 enodes)
1552122430.704 * * [simplify]: iters left: 5 (48 enodes)
1552122430.718 * * [simplify]: iters left: 4 (61 enodes)
1552122430.726 * * [simplify]: iters left: 3 (69 enodes)
1552122430.736 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.736 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.736 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122430.736 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122430.736 * * [simplify]: Extracting #4: cost 22 inf + 42
1552122430.736 * * [simplify]: Extracting #5: cost 20 inf + 291
1552122430.736 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552122430.737 * * [simplify]: Extracting #7: cost 1 inf + 3398
1552122430.737 * * [simplify]: Extracting #8: cost 0 inf + 3973
1552122430.738 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122430.738 * [simplify]: Simplified (2 2) to (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 (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552122430.739 * * * * [progress]: [ 51 / 80 ] 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))))>
1552122430.739 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
1552122430.739 * * [simplify]: iters left: 6 (14 enodes)
1552122430.746 * * [simplify]: iters left: 5 (50 enodes)
1552122430.762 * * [simplify]: iters left: 4 (73 enodes)
1552122430.772 * * [simplify]: iters left: 3 (81 enodes)
1552122430.781 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.781 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122430.782 * * [simplify]: Extracting #2: cost 7 inf + 1
1552122430.782 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122430.782 * * [simplify]: Extracting #4: cost 21 inf + 1
1552122430.782 * * [simplify]: Extracting #5: cost 24 inf + 5
1552122430.782 * * [simplify]: Extracting #6: cost 12 inf + 1046
1552122430.782 * * [simplify]: Extracting #7: cost 2 inf + 3571
1552122430.783 * * [simplify]: Extracting #8: cost 0 inf + 4562
1552122430.784 * [simplify]: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1552122430.784 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552122430.784 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552122430.784 * * [simplify]: iters left: 6 (13 enodes)
1552122430.787 * * [simplify]: iters left: 5 (45 enodes)
1552122430.798 * * [simplify]: iters left: 4 (58 enodes)
1552122430.814 * * [simplify]: iters left: 3 (65 enodes)
1552122430.830 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.830 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.830 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122430.830 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122430.831 * * [simplify]: Extracting #4: cost 20 inf + 42
1552122430.831 * * [simplify]: Extracting #5: cost 18 inf + 253
1552122430.831 * * [simplify]: Extracting #6: cost 8 inf + 1169
1552122430.832 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552122430.833 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552122430.834 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552122430.834 * [simplify]: Simplified (2 2) to (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))))
1552122430.834 * * * * [progress]: [ 52 / 80 ] 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)))))>
1552122430.835 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.835 * * [simplify]: iters left: 6 (15 enodes)
1552122430.842 * * [simplify]: iters left: 5 (53 enodes)
1552122430.860 * * [simplify]: iters left: 4 (68 enodes)
1552122430.870 * * [simplify]: iters left: 3 (75 enodes)
1552122430.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.879 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122430.879 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122430.879 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122430.879 * * [simplify]: Extracting #4: cost 26 inf + 42
1552122430.879 * * [simplify]: Extracting #5: cost 24 inf + 530
1552122430.879 * * [simplify]: Extracting #6: cost 11 inf + 1944
1552122430.880 * * [simplify]: Extracting #7: cost 0 inf + 5525
1552122430.881 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122430.881 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552122430.881 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552122430.881 * * [simplify]: iters left: 6 (14 enodes)
1552122430.887 * * [simplify]: iters left: 5 (48 enodes)
1552122430.901 * * [simplify]: iters left: 4 (61 enodes)
1552122430.918 * * [simplify]: iters left: 3 (69 enodes)
1552122430.936 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.936 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.936 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122430.936 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122430.936 * * [simplify]: Extracting #4: cost 22 inf + 42
1552122430.936 * * [simplify]: Extracting #5: cost 20 inf + 371
1552122430.937 * * [simplify]: Extracting #6: cost 7 inf + 1535
1552122430.938 * * [simplify]: Extracting #7: cost 1 inf + 3398
1552122430.939 * * [simplify]: Extracting #8: cost 0 inf + 3973
1552122430.940 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1552122430.940 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))
1552122430.940 * * * * [progress]: [ 53 / 80 ] 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)))))>
1552122430.941 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122430.941 * * [simplify]: iters left: 6 (14 enodes)
1552122430.948 * * [simplify]: iters left: 5 (48 enodes)
1552122430.962 * * [simplify]: iters left: 4 (61 enodes)
1552122430.979 * * [simplify]: iters left: 3 (69 enodes)
1552122430.990 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122430.990 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122430.990 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122430.990 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122430.990 * * [simplify]: Extracting #4: cost 22 inf + 42
1552122430.990 * * [simplify]: Extracting #5: cost 20 inf + 291
1552122430.991 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552122430.991 * * [simplify]: Extracting #7: cost 1 inf + 3278
1552122430.992 * * [simplify]: Extracting #8: cost 0 inf + 3813
1552122430.992 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122430.992 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552122430.993 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122430.993 * * [simplify]: iters left: 6 (14 enodes)
1552122430.996 * * [simplify]: iters left: 5 (48 enodes)
1552122431.005 * * [simplify]: iters left: 4 (61 enodes)
1552122431.020 * * [simplify]: iters left: 3 (69 enodes)
1552122431.037 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.037 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.037 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122431.037 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122431.037 * * [simplify]: Extracting #4: cost 22 inf + 42
1552122431.037 * * [simplify]: Extracting #5: cost 20 inf + 291
1552122431.038 * * [simplify]: Extracting #6: cost 7 inf + 1455
1552122431.039 * * [simplify]: Extracting #7: cost 1 inf + 3278
1552122431.040 * * [simplify]: Extracting #8: cost 0 inf + 3813
1552122431.041 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1552122431.041 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))
1552122431.041 * * * * [progress]: [ 54 / 80 ] 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))))>
1552122431.041 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
1552122431.041 * * [simplify]: iters left: 6 (13 enodes)
1552122431.048 * * [simplify]: iters left: 5 (45 enodes)
1552122431.062 * * [simplify]: iters left: 4 (60 enodes)
1552122431.079 * * [simplify]: iters left: 3 (67 enodes)
1552122431.093 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.093 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.093 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122431.093 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122431.093 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122431.093 * * [simplify]: Extracting #5: cost 4 inf + 1254
1552122431.093 * * [simplify]: Extracting #6: cost 1 inf + 2085
1552122431.094 * * [simplify]: Extracting #7: cost 0 inf + 2500
1552122431.094 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1552122431.094 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552122431.095 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552122431.095 * * [simplify]: iters left: 6 (13 enodes)
1552122431.098 * * [simplify]: iters left: 5 (45 enodes)
1552122431.106 * * [simplify]: iters left: 4 (58 enodes)
1552122431.113 * * [simplify]: iters left: 3 (65 enodes)
1552122431.129 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.129 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.129 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122431.129 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122431.130 * * [simplify]: Extracting #4: cost 20 inf + 42
1552122431.130 * * [simplify]: Extracting #5: cost 18 inf + 253
1552122431.130 * * [simplify]: Extracting #6: cost 8 inf + 1169
1552122431.131 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552122431.132 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552122431.133 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1552122431.133 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))
1552122431.133 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1552122431.134 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122431.134 * * [simplify]: iters left: 6 (6 enodes)
1552122431.137 * * [simplify]: iters left: 5 (22 enodes)
1552122431.144 * * [simplify]: iters left: 4 (26 enodes)
1552122431.151 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.151 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122431.151 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122431.152 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122431.152 * * [simplify]: Extracting #4: cost 8 inf + 84
1552122431.152 * * [simplify]: Extracting #5: cost 2 inf + 1013
1552122431.152 * * [simplify]: Extracting #6: cost 0 inf + 1376
1552122431.153 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122431.153 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1552122431.153 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552122431.153 * * [simplify]: iters left: 6 (13 enodes)
1552122431.160 * * [simplify]: iters left: 5 (45 enodes)
1552122431.173 * * [simplify]: iters left: 4 (58 enodes)
1552122431.189 * * [simplify]: iters left: 3 (65 enodes)
1552122431.206 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.206 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.206 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122431.206 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122431.206 * * [simplify]: Extracting #4: cost 18 inf + 333
1552122431.207 * * [simplify]: Extracting #5: cost 6 inf + 1411
1552122431.207 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552122431.208 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552122431.209 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1552122431.209 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))
1552122431.209 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1552122431.210 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1552122431.210 * * [simplify]: iters left: 4 (5 enodes)
1552122431.212 * * [simplify]: iters left: 3 (17 enodes)
1552122431.218 * * [simplify]: iters left: 2 (19 enodes)
1552122431.223 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.223 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.223 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122431.223 * * [simplify]: Extracting #3: cost 7 inf + 1
1552122431.223 * * [simplify]: Extracting #4: cost 0 inf + 490
1552122431.223 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552122431.223 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552122431.224 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122431.224 * * [simplify]: iters left: 6 (13 enodes)
1552122431.230 * * [simplify]: iters left: 5 (45 enodes)
1552122431.245 * * [simplify]: iters left: 4 (58 enodes)
1552122431.256 * * [simplify]: iters left: 3 (65 enodes)
1552122431.264 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.264 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.264 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122431.264 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122431.264 * * [simplify]: Extracting #4: cost 18 inf + 293
1552122431.264 * * [simplify]: Extracting #5: cost 6 inf + 1331
1552122431.265 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552122431.265 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552122431.266 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1552122431.266 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1552122431.266 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1552122431.266 * [simplify]: Simplifying (/ 1 1)
1552122431.266 * * [simplify]: iters left: 2 (2 enodes)
1552122431.267 * * [simplify]: iters left: 1 (6 enodes)
1552122431.268 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.268 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122431.268 * [simplify]: Simplified to 1
1552122431.268 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1552122431.268 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552122431.268 * * [simplify]: iters left: 6 (12 enodes)
1552122431.271 * * [simplify]: iters left: 5 (42 enodes)
1552122431.277 * * [simplify]: iters left: 4 (55 enodes)
1552122431.285 * * [simplify]: iters left: 3 (62 enodes)
1552122431.292 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.292 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.292 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122431.292 * * [simplify]: Extracting #3: cost 18 inf + 42
1552122431.292 * * [simplify]: Extracting #4: cost 18 inf + 129
1552122431.293 * * [simplify]: Extracting #5: cost 6 inf + 1502
1552122431.293 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552122431.293 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552122431.294 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1552122431.294 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1552122431.294 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1552122431.294 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1552122431.294 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122431.294 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1552122431.294 * [simplify]: Simplifying (cbrt (sqrt k))
1552122431.294 * * [simplify]: iters left: 2 (3 enodes)
1552122431.295 * * [simplify]: iters left: 1 (9 enodes)
1552122431.296 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.296 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122431.296 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122431.296 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122431.296 * * [simplify]: Extracting #4: cost 0 inf + 325
1552122431.296 * [simplify]: Simplified to (cbrt (sqrt k))
1552122431.296 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1552122431.296 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1552122431.296 * [simplify]: Simplifying (sqrt (sqrt k))
1552122431.296 * * [simplify]: iters left: 2 (3 enodes)
1552122431.297 * * [simplify]: iters left: 1 (9 enodes)
1552122431.298 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.298 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122431.298 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122431.298 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122431.298 * * [simplify]: Extracting #4: cost 0 inf + 245
1552122431.298 * [simplify]: Simplified to (sqrt (sqrt k))
1552122431.298 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1552122431.298 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1552122431.299 * [simplify]: Simplifying (sqrt k)
1552122431.299 * * [simplify]: iters left: 1 (2 enodes)
1552122431.299 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.299 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122431.299 * * [simplify]: Extracting #2: cost 2 inf + 1
1552122431.299 * * [simplify]: Extracting #3: cost 0 inf + 83
1552122431.299 * [simplify]: Simplified to (sqrt k)
1552122431.299 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))
1552122431.299 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122431.299 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552122431.299 * * [simplify]: iters left: 5 (7 enodes)
1552122431.301 * * [simplify]: iters left: 4 (26 enodes)
1552122431.305 * * [simplify]: iters left: 3 (34 enodes)
1552122431.310 * * [simplify]: iters left: 2 (39 enodes)
1552122431.315 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.315 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.315 * * [simplify]: Extracting #2: cost 10 inf + 1
1552122431.316 * * [simplify]: Extracting #3: cost 9 inf + 46
1552122431.316 * * [simplify]: Extracting #4: cost 1 inf + 626
1552122431.316 * * [simplify]: Extracting #5: cost 0 inf + 668
1552122431.317 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552122431.317 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1552122431.317 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122431.317 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552122431.317 * * [simplify]: iters left: 5 (7 enodes)
1552122431.321 * * [simplify]: iters left: 4 (26 enodes)
1552122431.325 * * [simplify]: iters left: 3 (34 enodes)
1552122431.332 * * [simplify]: iters left: 2 (39 enodes)
1552122431.336 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.336 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.336 * * [simplify]: Extracting #2: cost 10 inf + 1
1552122431.337 * * [simplify]: Extracting #3: cost 9 inf + 46
1552122431.337 * * [simplify]: Extracting #4: cost 1 inf + 626
1552122431.337 * * [simplify]: Extracting #5: cost 0 inf + 668
1552122431.337 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552122431.337 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1552122431.337 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1552122431.337 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552122431.338 * * [simplify]: iters left: 5 (8 enodes)
1552122431.340 * * [simplify]: iters left: 4 (27 enodes)
1552122431.344 * * [simplify]: iters left: 3 (32 enodes)
1552122431.348 * * [simplify]: iters left: 2 (34 enodes)
1552122431.357 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.357 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.358 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122431.358 * * [simplify]: Extracting #3: cost 12 inf + 3
1552122431.358 * * [simplify]: Extracting #4: cost 8 inf + 171
1552122431.358 * * [simplify]: Extracting #5: cost 1 inf + 918
1552122431.358 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552122431.359 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552122431.359 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1552122431.359 * * * * [progress]: [ 67 / 80 ] 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)))))))>
1552122431.359 * [simplify]: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122431.359 * * [simplify]: iters left: 6 (12 enodes)
1552122431.365 * * [simplify]: iters left: 5 (42 enodes)
1552122431.377 * * [simplify]: iters left: 4 (55 enodes)
1552122431.392 * * [simplify]: iters left: 3 (62 enodes)
1552122431.408 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.408 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122431.408 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122431.408 * * [simplify]: Extracting #3: cost 8 inf + 0
1552122431.408 * * [simplify]: Extracting #4: cost 19 inf + 0
1552122431.408 * * [simplify]: Extracting #5: cost 22 inf + 4
1552122431.409 * * [simplify]: Extracting #6: cost 10 inf + 1256
1552122431.410 * * [simplify]: Extracting #7: cost 1 inf + 3074
1552122431.410 * * [simplify]: Extracting #8: cost 0 inf + 3569
1552122431.411 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122431.412 * [simplify]: Simplified (2 1) to (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)))))))
1552122431.412 * * * * [progress]: [ 68 / 80 ] 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)))))))>
1552122431.412 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122431.412 * * [simplify]: iters left: 6 (11 enodes)
1552122431.418 * * [simplify]: iters left: 5 (39 enodes)
1552122431.429 * * [simplify]: iters left: 4 (52 enodes)
1552122431.444 * * [simplify]: iters left: 3 (59 enodes)
1552122431.461 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.461 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122431.461 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122431.461 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122431.461 * * [simplify]: Extracting #4: cost 19 inf + 46
1552122431.461 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552122431.462 * * [simplify]: Extracting #6: cost 0 inf + 2499
1552122431.463 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552122431.463 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122431.463 * * * * [progress]: [ 69 / 80 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122431.463 * * * * [progress]: [ 70 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
1552122431.463 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1552122431.464 * * [simplify]: iters left: 5 (7 enodes)
1552122431.467 * * [simplify]: iters left: 4 (26 enodes)
1552122431.470 * * [simplify]: iters left: 3 (34 enodes)
1552122431.475 * * [simplify]: iters left: 2 (39 enodes)
1552122431.480 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.480 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122431.480 * * [simplify]: Extracting #2: cost 10 inf + 1
1552122431.480 * * [simplify]: Extracting #3: cost 9 inf + 46
1552122431.481 * * [simplify]: Extracting #4: cost 1 inf + 626
1552122431.481 * * [simplify]: Extracting #5: cost 0 inf + 668
1552122431.481 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1552122431.481 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
1552122431.481 * * * * [progress]: [ 71 / 80 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552122431.481 * * * * [progress]: [ 72 / 80 ] 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)))>
1552122431.481 * [simplify]: Simplifying (- (+ (* 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)))))
1552122431.482 * * [simplify]: iters left: 6 (37 enodes)
1552122431.492 * * [simplify]: iters left: 5 (179 enodes)
1552122431.548 * * [simplify]: iters left: 4 (458 enodes)
1552122431.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122431.708 * * [simplify]: Extracting #1: cost 57 inf + 0
1552122431.709 * * [simplify]: Extracting #2: cost 287 inf + 0
1552122431.710 * * [simplify]: Extracting #3: cost 485 inf + 158
1552122431.717 * * [simplify]: Extracting #4: cost 473 inf + 4949
1552122431.731 * * [simplify]: Extracting #5: cost 294 inf + 68227
1552122431.782 * * [simplify]: Extracting #6: cost 43 inf + 204764
1552122431.861 * * [simplify]: Extracting #7: cost 0 inf + 227627
1552122431.947 * * [simplify]: Extracting #8: cost 0 inf + 222950
1552122432.047 * * [simplify]: Extracting #9: cost 0 inf + 222310
1552122432.147 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1552122432.147 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k)))
1552122432.147 * * * * [progress]: [ 73 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1552122432.148 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552122432.148 * * [simplify]: iters left: 6 (15 enodes)
1552122432.157 * * [simplify]: iters left: 5 (63 enodes)
1552122432.176 * * [simplify]: iters left: 4 (108 enodes)
1552122432.198 * * [simplify]: iters left: 3 (260 enodes)
1552122432.281 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122432.282 * * [simplify]: Extracting #1: cost 17 inf + 0
1552122432.282 * * [simplify]: Extracting #2: cost 115 inf + 0
1552122432.282 * * [simplify]: Extracting #3: cost 221 inf + 4
1552122432.284 * * [simplify]: Extracting #4: cost 174 inf + 5827
1552122432.289 * * [simplify]: Extracting #5: cost 46 inf + 35251
1552122432.298 * * [simplify]: Extracting #6: cost 0 inf + 47711
1552122432.313 * * [simplify]: Extracting #7: cost 0 inf + 47571
1552122432.324 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1552122432.325 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122432.325 * * * * [progress]: [ 74 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1552122432.325 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552122432.325 * * [simplify]: iters left: 6 (15 enodes)
1552122432.329 * * [simplify]: iters left: 5 (60 enodes)
1552122432.339 * * [simplify]: iters left: 4 (111 enodes)
1552122432.370 * * [simplify]: iters left: 3 (294 enodes)
1552122432.486 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122432.486 * * [simplify]: Extracting #1: cost 16 inf + 0
1552122432.487 * * [simplify]: Extracting #2: cost 142 inf + 0
1552122432.489 * * [simplify]: Extracting #3: cost 317 inf + 187
1552122432.490 * * [simplify]: Extracting #4: cost 290 inf + 2919
1552122432.497 * * [simplify]: Extracting #5: cost 105 inf + 47243
1552122432.511 * * [simplify]: Extracting #6: cost 3 inf + 79409
1552122432.530 * * [simplify]: Extracting #7: cost 0 inf + 77357
1552122432.545 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1552122432.545 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122432.545 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122432.545 * [simplify]: Simplifying (* 2 (* n PI))
1552122432.545 * * [simplify]: iters left: 4 (5 enodes)
1552122432.547 * * [simplify]: iters left: 3 (19 enodes)
1552122432.550 * * [simplify]: iters left: 2 (27 enodes)
1552122432.554 * * [simplify]: iters left: 1 (32 enodes)
1552122432.561 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122432.561 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122432.561 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122432.562 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122432.562 * [simplify]: Simplified to (* (* PI n) 2)
1552122432.562 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552122432.562 * * * * [progress]: [ 76 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122432.562 * [simplify]: Simplifying (* 2 (* n PI))
1552122432.562 * * [simplify]: iters left: 4 (5 enodes)
1552122432.565 * * [simplify]: iters left: 3 (19 enodes)
1552122432.568 * * [simplify]: iters left: 2 (27 enodes)
1552122432.572 * * [simplify]: iters left: 1 (32 enodes)
1552122432.575 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122432.575 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122432.576 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122432.576 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122432.576 * [simplify]: Simplified to (* (* PI n) 2)
1552122432.576 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552122432.576 * * * * [progress]: [ 77 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1552122432.576 * [simplify]: Simplifying (* 2 (* n PI))
1552122432.576 * * [simplify]: iters left: 4 (5 enodes)
1552122432.577 * * [simplify]: iters left: 3 (19 enodes)
1552122432.580 * * [simplify]: iters left: 2 (27 enodes)
1552122432.584 * * [simplify]: iters left: 1 (32 enodes)
1552122432.588 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122432.588 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122432.588 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122432.588 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122432.588 * [simplify]: Simplified to (* (* PI n) 2)
1552122432.588 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1552122432.588 * * * * [progress]: [ 78 / 80 ] 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)))))))))))))))))))))))>
1552122432.588 * [simplify]: Simplifying (- (+ (* +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))))))))))))))))))))))
1552122432.588 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122432.589 * * * * [progress]: [ 79 / 80 ] 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)))))))))>
1552122432.589 * [simplify]: Simplifying (- (+ (* +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))))))))
1552122432.589 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122432.589 * * * * [progress]: [ 80 / 80 ] 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))))))))))))>
1552122432.589 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552122432.589 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122432.589 * * * [progress]: adding candidates to table
1552122433.462 * * [progress]: iteration 2 / 4
1552122433.462 * * * [progress]: picking best candidate
1552122433.514 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122433.514 * * * [progress]: localizing error
1552122433.526 * * * [progress]: generating rewritten candidates
1552122433.526 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1552122433.532 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1552122433.537 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1552122433.545 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1552122433.550 * * * [progress]: generating series expansions
1552122433.550 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1552122433.550 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552122433.550 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552122433.550 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122433.550 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122433.550 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122433.550 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122433.550 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.550 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.550 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122433.550 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.550 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.550 * [taylor]: Taking taylor expansion of k in k
1552122433.550 * [backup-simplify]: Simplify 0 into 0
1552122433.550 * [backup-simplify]: Simplify 1 into 1
1552122433.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122433.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122433.550 * [taylor]: Taking taylor expansion of 2 in k
1552122433.550 * [backup-simplify]: Simplify 2 into 2
1552122433.550 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122433.550 * [taylor]: Taking taylor expansion of n in k
1552122433.550 * [backup-simplify]: Simplify n into n
1552122433.550 * [taylor]: Taking taylor expansion of PI in k
1552122433.550 * [backup-simplify]: Simplify PI into PI
1552122433.550 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122433.550 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122433.550 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122433.551 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122433.551 * [backup-simplify]: Simplify (- 0) into 0
1552122433.551 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.551 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122433.552 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122433.552 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122433.552 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122433.552 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122433.552 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122433.552 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.552 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.552 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122433.552 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.552 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.552 * [taylor]: Taking taylor expansion of k in n
1552122433.552 * [backup-simplify]: Simplify k into k
1552122433.552 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122433.552 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.552 * [taylor]: Taking taylor expansion of 2 in n
1552122433.552 * [backup-simplify]: Simplify 2 into 2
1552122433.552 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.552 * [taylor]: Taking taylor expansion of n in n
1552122433.552 * [backup-simplify]: Simplify 0 into 0
1552122433.552 * [backup-simplify]: Simplify 1 into 1
1552122433.552 * [taylor]: Taking taylor expansion of PI in n
1552122433.552 * [backup-simplify]: Simplify PI into PI
1552122433.552 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.552 * [backup-simplify]: Simplify (* 2 0) into 0
1552122433.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.554 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122433.555 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.555 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122433.555 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122433.555 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122433.556 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.556 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122433.557 * [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)))))
1552122433.557 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122433.557 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122433.557 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122433.557 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122433.557 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.557 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.557 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122433.557 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.557 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.557 * [taylor]: Taking taylor expansion of k in n
1552122433.557 * [backup-simplify]: Simplify k into k
1552122433.557 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122433.557 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.557 * [taylor]: Taking taylor expansion of 2 in n
1552122433.557 * [backup-simplify]: Simplify 2 into 2
1552122433.557 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.557 * [taylor]: Taking taylor expansion of n in n
1552122433.557 * [backup-simplify]: Simplify 0 into 0
1552122433.557 * [backup-simplify]: Simplify 1 into 1
1552122433.557 * [taylor]: Taking taylor expansion of PI in n
1552122433.557 * [backup-simplify]: Simplify PI into PI
1552122433.558 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.558 * [backup-simplify]: Simplify (* 2 0) into 0
1552122433.559 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.560 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122433.560 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.560 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122433.560 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122433.560 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122433.561 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.562 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122433.563 * [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)))))
1552122433.563 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122433.563 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122433.563 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122433.563 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.563 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.563 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122433.563 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.563 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.563 * [taylor]: Taking taylor expansion of k in k
1552122433.563 * [backup-simplify]: Simplify 0 into 0
1552122433.563 * [backup-simplify]: Simplify 1 into 1
1552122433.563 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122433.563 * [taylor]: Taking taylor expansion of (log n) in k
1552122433.563 * [taylor]: Taking taylor expansion of n in k
1552122433.563 * [backup-simplify]: Simplify n into n
1552122433.563 * [backup-simplify]: Simplify (log n) into (log n)
1552122433.563 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122433.563 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122433.563 * [taylor]: Taking taylor expansion of 2 in k
1552122433.563 * [backup-simplify]: Simplify 2 into 2
1552122433.563 * [taylor]: Taking taylor expansion of PI in k
1552122433.563 * [backup-simplify]: Simplify PI into PI
1552122433.563 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.564 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.564 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122433.564 * [backup-simplify]: Simplify (- 0) into 0
1552122433.565 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.565 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.566 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122433.566 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122433.567 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122433.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122433.568 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122433.569 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122433.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122433.570 * [backup-simplify]: Simplify (- 0) into 0
1552122433.571 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.573 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122433.575 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122433.575 * [taylor]: Taking taylor expansion of 0 in k
1552122433.575 * [backup-simplify]: Simplify 0 into 0
1552122433.575 * [backup-simplify]: Simplify 0 into 0
1552122433.576 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122433.576 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122433.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122433.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.580 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122433.580 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.580 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122433.585 * [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)))))))
1552122433.588 * [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)))))))
1552122433.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122433.593 * [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
1552122433.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122433.595 * [backup-simplify]: Simplify (- 0) into 0
1552122433.595 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.596 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.597 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122433.599 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122433.599 * [taylor]: Taking taylor expansion of 0 in k
1552122433.599 * [backup-simplify]: Simplify 0 into 0
1552122433.599 * [backup-simplify]: Simplify 0 into 0
1552122433.599 * [backup-simplify]: Simplify 0 into 0
1552122433.600 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122433.600 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.602 * [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
1552122433.603 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122433.603 * [backup-simplify]: Simplify (- 0) into 0
1552122433.604 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122433.607 * [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)))))
1552122433.610 * [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)))))
1552122433.615 * [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)))))
1552122433.615 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552122433.615 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552122433.615 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122433.615 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122433.615 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122433.615 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122433.615 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.616 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.616 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.616 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.616 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.616 * [taylor]: Taking taylor expansion of k in k
1552122433.616 * [backup-simplify]: Simplify 0 into 0
1552122433.616 * [backup-simplify]: Simplify 1 into 1
1552122433.616 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.616 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122433.616 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122433.616 * [taylor]: Taking taylor expansion of 2 in k
1552122433.616 * [backup-simplify]: Simplify 2 into 2
1552122433.616 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122433.616 * [taylor]: Taking taylor expansion of PI in k
1552122433.616 * [backup-simplify]: Simplify PI into PI
1552122433.616 * [taylor]: Taking taylor expansion of n in k
1552122433.616 * [backup-simplify]: Simplify n into n
1552122433.616 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122433.616 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122433.616 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122433.616 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.617 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.617 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.617 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122433.617 * [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))))
1552122433.617 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122433.617 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122433.617 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122433.617 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122433.617 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.617 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.617 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.617 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.617 * [taylor]: Taking taylor expansion of k in n
1552122433.617 * [backup-simplify]: Simplify k into k
1552122433.617 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.617 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122433.617 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.617 * [taylor]: Taking taylor expansion of 2 in n
1552122433.617 * [backup-simplify]: Simplify 2 into 2
1552122433.617 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.617 * [taylor]: Taking taylor expansion of PI in n
1552122433.617 * [backup-simplify]: Simplify PI into PI
1552122433.617 * [taylor]: Taking taylor expansion of n in n
1552122433.617 * [backup-simplify]: Simplify 0 into 0
1552122433.618 * [backup-simplify]: Simplify 1 into 1
1552122433.618 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.618 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.619 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.619 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122433.619 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122433.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.620 * [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)))
1552122433.621 * [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))))
1552122433.621 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122433.621 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122433.621 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122433.621 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122433.621 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.621 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.621 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.621 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.621 * [taylor]: Taking taylor expansion of k in n
1552122433.621 * [backup-simplify]: Simplify k into k
1552122433.621 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.621 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122433.621 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.621 * [taylor]: Taking taylor expansion of 2 in n
1552122433.621 * [backup-simplify]: Simplify 2 into 2
1552122433.621 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.621 * [taylor]: Taking taylor expansion of PI in n
1552122433.621 * [backup-simplify]: Simplify PI into PI
1552122433.621 * [taylor]: Taking taylor expansion of n in n
1552122433.621 * [backup-simplify]: Simplify 0 into 0
1552122433.621 * [backup-simplify]: Simplify 1 into 1
1552122433.622 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.622 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.623 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.623 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122433.623 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122433.624 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.624 * [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)))
1552122433.625 * [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))))
1552122433.625 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122433.625 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122433.625 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122433.625 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.625 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.625 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.625 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.625 * [taylor]: Taking taylor expansion of k in k
1552122433.625 * [backup-simplify]: Simplify 0 into 0
1552122433.625 * [backup-simplify]: Simplify 1 into 1
1552122433.625 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.626 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122433.626 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122433.626 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122433.626 * [taylor]: Taking taylor expansion of 2 in k
1552122433.626 * [backup-simplify]: Simplify 2 into 2
1552122433.626 * [taylor]: Taking taylor expansion of PI in k
1552122433.626 * [backup-simplify]: Simplify PI into PI
1552122433.626 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.627 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.627 * [taylor]: Taking taylor expansion of (log n) in k
1552122433.627 * [taylor]: Taking taylor expansion of n in k
1552122433.627 * [backup-simplify]: Simplify n into n
1552122433.627 * [backup-simplify]: Simplify (log n) into (log n)
1552122433.628 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.628 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.629 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.629 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122433.630 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122433.631 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122433.632 * [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))))
1552122433.633 * [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))))
1552122433.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122433.635 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122433.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122433.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122433.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122433.641 * [backup-simplify]: Simplify (- 0) into 0
1552122433.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.643 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.644 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122433.645 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122433.645 * [taylor]: Taking taylor expansion of 0 in k
1552122433.645 * [backup-simplify]: Simplify 0 into 0
1552122433.645 * [backup-simplify]: Simplify 0 into 0
1552122433.646 * [backup-simplify]: Simplify 0 into 0
1552122433.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.648 * [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
1552122433.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122433.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122433.649 * [backup-simplify]: Simplify (- 0) into 0
1552122433.650 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.651 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.651 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122433.653 * [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
1552122433.653 * [taylor]: Taking taylor expansion of 0 in k
1552122433.653 * [backup-simplify]: Simplify 0 into 0
1552122433.653 * [backup-simplify]: Simplify 0 into 0
1552122433.653 * [backup-simplify]: Simplify 0 into 0
1552122433.653 * [backup-simplify]: Simplify 0 into 0
1552122433.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.657 * [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
1552122433.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122433.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122433.658 * [backup-simplify]: Simplify (- 0) into 0
1552122433.659 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.660 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.661 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122433.662 * [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
1552122433.662 * [taylor]: Taking taylor expansion of 0 in k
1552122433.662 * [backup-simplify]: Simplify 0 into 0
1552122433.662 * [backup-simplify]: Simplify 0 into 0
1552122433.663 * [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)))))
1552122433.663 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552122433.663 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552122433.663 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122433.663 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122433.663 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122433.663 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122433.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.663 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.663 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.663 * [taylor]: Taking taylor expansion of k in k
1552122433.663 * [backup-simplify]: Simplify 0 into 0
1552122433.663 * [backup-simplify]: Simplify 1 into 1
1552122433.664 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.664 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.664 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.664 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122433.664 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122433.664 * [taylor]: Taking taylor expansion of -2 in k
1552122433.664 * [backup-simplify]: Simplify -2 into -2
1552122433.664 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122433.664 * [taylor]: Taking taylor expansion of PI in k
1552122433.664 * [backup-simplify]: Simplify PI into PI
1552122433.664 * [taylor]: Taking taylor expansion of n in k
1552122433.664 * [backup-simplify]: Simplify n into n
1552122433.664 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122433.664 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122433.664 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122433.664 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.664 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.665 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122433.665 * [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)))
1552122433.665 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122433.665 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122433.665 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122433.665 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122433.665 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.665 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.665 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.665 * [taylor]: Taking taylor expansion of k in n
1552122433.665 * [backup-simplify]: Simplify k into k
1552122433.665 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.665 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.665 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.665 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122433.665 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122433.665 * [taylor]: Taking taylor expansion of -2 in n
1552122433.665 * [backup-simplify]: Simplify -2 into -2
1552122433.665 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.665 * [taylor]: Taking taylor expansion of PI in n
1552122433.665 * [backup-simplify]: Simplify PI into PI
1552122433.665 * [taylor]: Taking taylor expansion of n in n
1552122433.665 * [backup-simplify]: Simplify 0 into 0
1552122433.665 * [backup-simplify]: Simplify 1 into 1
1552122433.665 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.666 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122433.666 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122433.666 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.666 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122433.667 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122433.668 * [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)))
1552122433.668 * [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))))
1552122433.668 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122433.668 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122433.669 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122433.669 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122433.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.669 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.669 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.669 * [taylor]: Taking taylor expansion of k in n
1552122433.669 * [backup-simplify]: Simplify k into k
1552122433.669 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.669 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.669 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.669 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122433.669 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122433.669 * [taylor]: Taking taylor expansion of -2 in n
1552122433.669 * [backup-simplify]: Simplify -2 into -2
1552122433.669 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.669 * [taylor]: Taking taylor expansion of PI in n
1552122433.669 * [backup-simplify]: Simplify PI into PI
1552122433.669 * [taylor]: Taking taylor expansion of n in n
1552122433.669 * [backup-simplify]: Simplify 0 into 0
1552122433.669 * [backup-simplify]: Simplify 1 into 1
1552122433.669 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.669 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122433.670 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122433.670 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.670 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122433.671 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122433.672 * [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)))
1552122433.672 * [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))))
1552122433.672 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122433.672 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122433.672 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122433.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.672 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.672 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.672 * [taylor]: Taking taylor expansion of k in k
1552122433.672 * [backup-simplify]: Simplify 0 into 0
1552122433.672 * [backup-simplify]: Simplify 1 into 1
1552122433.673 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.673 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.673 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.673 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122433.673 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122433.673 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122433.673 * [taylor]: Taking taylor expansion of -2 in k
1552122433.673 * [backup-simplify]: Simplify -2 into -2
1552122433.673 * [taylor]: Taking taylor expansion of PI in k
1552122433.673 * [backup-simplify]: Simplify PI into PI
1552122433.673 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122433.674 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122433.674 * [taylor]: Taking taylor expansion of (log n) in k
1552122433.674 * [taylor]: Taking taylor expansion of n in k
1552122433.674 * [backup-simplify]: Simplify n into n
1552122433.674 * [backup-simplify]: Simplify (log n) into (log n)
1552122433.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.675 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.675 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122433.676 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122433.677 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122433.678 * [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))))
1552122433.679 * [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))))
1552122433.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122433.681 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122433.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122433.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122433.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122433.684 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.685 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122433.686 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122433.688 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122433.688 * [taylor]: Taking taylor expansion of 0 in k
1552122433.688 * [backup-simplify]: Simplify 0 into 0
1552122433.688 * [backup-simplify]: Simplify 0 into 0
1552122433.688 * [backup-simplify]: Simplify 0 into 0
1552122433.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.690 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1552122433.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122433.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122433.695 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122433.698 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122433.701 * [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
1552122433.701 * [taylor]: Taking taylor expansion of 0 in k
1552122433.701 * [backup-simplify]: Simplify 0 into 0
1552122433.701 * [backup-simplify]: Simplify 0 into 0
1552122433.701 * [backup-simplify]: Simplify 0 into 0
1552122433.701 * [backup-simplify]: Simplify 0 into 0
1552122433.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.704 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.710 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
1552122433.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122433.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122433.712 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122433.715 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552122433.718 * [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
1552122433.718 * [taylor]: Taking taylor expansion of 0 in k
1552122433.718 * [backup-simplify]: Simplify 0 into 0
1552122433.718 * [backup-simplify]: Simplify 0 into 0
1552122433.719 * [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)))))
1552122433.719 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1552122433.719 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552122433.719 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552122433.719 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.719 * [taylor]: Taking taylor expansion of 2 in n
1552122433.719 * [backup-simplify]: Simplify 2 into 2
1552122433.719 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.719 * [taylor]: Taking taylor expansion of n in n
1552122433.719 * [backup-simplify]: Simplify 0 into 0
1552122433.719 * [backup-simplify]: Simplify 1 into 1
1552122433.719 * [taylor]: Taking taylor expansion of PI in n
1552122433.719 * [backup-simplify]: Simplify PI into PI
1552122433.719 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.719 * [taylor]: Taking taylor expansion of 2 in n
1552122433.719 * [backup-simplify]: Simplify 2 into 2
1552122433.719 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.719 * [taylor]: Taking taylor expansion of n in n
1552122433.719 * [backup-simplify]: Simplify 0 into 0
1552122433.720 * [backup-simplify]: Simplify 1 into 1
1552122433.720 * [taylor]: Taking taylor expansion of PI in n
1552122433.720 * [backup-simplify]: Simplify PI into PI
1552122433.720 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.721 * [backup-simplify]: Simplify (* 2 0) into 0
1552122433.721 * [backup-simplify]: Simplify 0 into 0
1552122433.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.724 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122433.724 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122433.726 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122433.726 * [backup-simplify]: Simplify 0 into 0
1552122433.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122433.729 * [backup-simplify]: Simplify 0 into 0
1552122433.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122433.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122433.731 * [backup-simplify]: Simplify 0 into 0
1552122433.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122433.734 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552122433.734 * [backup-simplify]: Simplify 0 into 0
1552122433.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122433.737 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552122433.737 * [backup-simplify]: Simplify 0 into 0
1552122433.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552122433.739 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552122433.739 * [backup-simplify]: Simplify 0 into 0
1552122433.740 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552122433.740 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552122433.740 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552122433.740 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.740 * [taylor]: Taking taylor expansion of 2 in n
1552122433.740 * [backup-simplify]: Simplify 2 into 2
1552122433.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.740 * [taylor]: Taking taylor expansion of PI in n
1552122433.740 * [backup-simplify]: Simplify PI into PI
1552122433.740 * [taylor]: Taking taylor expansion of n in n
1552122433.740 * [backup-simplify]: Simplify 0 into 0
1552122433.740 * [backup-simplify]: Simplify 1 into 1
1552122433.740 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.740 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.740 * [taylor]: Taking taylor expansion of 2 in n
1552122433.740 * [backup-simplify]: Simplify 2 into 2
1552122433.740 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.740 * [taylor]: Taking taylor expansion of PI in n
1552122433.740 * [backup-simplify]: Simplify PI into PI
1552122433.740 * [taylor]: Taking taylor expansion of n in n
1552122433.740 * [backup-simplify]: Simplify 0 into 0
1552122433.740 * [backup-simplify]: Simplify 1 into 1
1552122433.741 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.741 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.741 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122433.742 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122433.742 * [backup-simplify]: Simplify 0 into 0
1552122433.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.743 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.744 * [backup-simplify]: Simplify 0 into 0
1552122433.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.745 * [backup-simplify]: Simplify 0 into 0
1552122433.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122433.746 * [backup-simplify]: Simplify 0 into 0
1552122433.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122433.747 * [backup-simplify]: Simplify 0 into 0
1552122433.748 * [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
1552122433.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122433.749 * [backup-simplify]: Simplify 0 into 0
1552122433.749 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552122433.749 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552122433.749 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552122433.749 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122433.749 * [taylor]: Taking taylor expansion of -2 in n
1552122433.750 * [backup-simplify]: Simplify -2 into -2
1552122433.750 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.750 * [taylor]: Taking taylor expansion of PI in n
1552122433.750 * [backup-simplify]: Simplify PI into PI
1552122433.750 * [taylor]: Taking taylor expansion of n in n
1552122433.750 * [backup-simplify]: Simplify 0 into 0
1552122433.750 * [backup-simplify]: Simplify 1 into 1
1552122433.750 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.750 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122433.750 * [taylor]: Taking taylor expansion of -2 in n
1552122433.750 * [backup-simplify]: Simplify -2 into -2
1552122433.750 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.750 * [taylor]: Taking taylor expansion of PI in n
1552122433.750 * [backup-simplify]: Simplify PI into PI
1552122433.750 * [taylor]: Taking taylor expansion of n in n
1552122433.750 * [backup-simplify]: Simplify 0 into 0
1552122433.750 * [backup-simplify]: Simplify 1 into 1
1552122433.750 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.751 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122433.751 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122433.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122433.752 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122433.752 * [backup-simplify]: Simplify 0 into 0
1552122433.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.755 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.755 * [backup-simplify]: Simplify 0 into 0
1552122433.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.756 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122433.756 * [backup-simplify]: Simplify 0 into 0
1552122433.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.758 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122433.758 * [backup-simplify]: Simplify 0 into 0
1552122433.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122433.759 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122433.759 * [backup-simplify]: Simplify 0 into 0
1552122433.760 * [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
1552122433.761 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122433.761 * [backup-simplify]: Simplify 0 into 0
1552122433.761 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552122433.761 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1552122433.761 * [backup-simplify]: Simplify (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122433.761 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1552122433.761 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1552122433.762 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122433.762 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122433.762 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122433.762 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122433.762 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122433.762 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.762 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.762 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122433.762 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.762 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.762 * [taylor]: Taking taylor expansion of k in n
1552122433.762 * [backup-simplify]: Simplify k into k
1552122433.762 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122433.762 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.762 * [taylor]: Taking taylor expansion of 2 in n
1552122433.762 * [backup-simplify]: Simplify 2 into 2
1552122433.762 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.762 * [taylor]: Taking taylor expansion of n in n
1552122433.762 * [backup-simplify]: Simplify 0 into 0
1552122433.762 * [backup-simplify]: Simplify 1 into 1
1552122433.762 * [taylor]: Taking taylor expansion of PI in n
1552122433.762 * [backup-simplify]: Simplify PI into PI
1552122433.762 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.762 * [backup-simplify]: Simplify (* 2 0) into 0
1552122433.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.764 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122433.765 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.765 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122433.765 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122433.765 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122433.766 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.767 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122433.767 * [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)))))
1552122433.768 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1552122433.768 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122433.768 * [taylor]: Taking taylor expansion of k in n
1552122433.768 * [backup-simplify]: Simplify k into k
1552122433.768 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122433.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122433.768 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552122433.768 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122433.768 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122433.768 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122433.768 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122433.768 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122433.768 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.768 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.768 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122433.768 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.768 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.768 * [taylor]: Taking taylor expansion of k in k
1552122433.768 * [backup-simplify]: Simplify 0 into 0
1552122433.768 * [backup-simplify]: Simplify 1 into 1
1552122433.768 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122433.768 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122433.768 * [taylor]: Taking taylor expansion of 2 in k
1552122433.769 * [backup-simplify]: Simplify 2 into 2
1552122433.769 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122433.769 * [taylor]: Taking taylor expansion of n in k
1552122433.769 * [backup-simplify]: Simplify n into n
1552122433.769 * [taylor]: Taking taylor expansion of PI in k
1552122433.769 * [backup-simplify]: Simplify PI into PI
1552122433.769 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122433.769 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122433.769 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122433.769 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122433.769 * [backup-simplify]: Simplify (- 0) into 0
1552122433.770 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.770 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122433.770 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122433.770 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552122433.770 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122433.770 * [taylor]: Taking taylor expansion of k in k
1552122433.770 * [backup-simplify]: Simplify 0 into 0
1552122433.770 * [backup-simplify]: Simplify 1 into 1
1552122433.771 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.772 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122433.772 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552122433.772 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122433.772 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122433.772 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122433.772 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122433.772 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122433.772 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.772 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.772 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122433.772 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.772 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.772 * [taylor]: Taking taylor expansion of k in k
1552122433.772 * [backup-simplify]: Simplify 0 into 0
1552122433.772 * [backup-simplify]: Simplify 1 into 1
1552122433.772 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122433.772 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122433.772 * [taylor]: Taking taylor expansion of 2 in k
1552122433.773 * [backup-simplify]: Simplify 2 into 2
1552122433.773 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122433.773 * [taylor]: Taking taylor expansion of n in k
1552122433.773 * [backup-simplify]: Simplify n into n
1552122433.773 * [taylor]: Taking taylor expansion of PI in k
1552122433.773 * [backup-simplify]: Simplify PI into PI
1552122433.773 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122433.773 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122433.773 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122433.773 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122433.774 * [backup-simplify]: Simplify (- 0) into 0
1552122433.774 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122433.774 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122433.774 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122433.774 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552122433.774 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122433.775 * [taylor]: Taking taylor expansion of k in k
1552122433.775 * [backup-simplify]: Simplify 0 into 0
1552122433.775 * [backup-simplify]: Simplify 1 into 1
1552122433.775 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.776 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122433.777 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1552122433.777 * [taylor]: Taking taylor expansion of 0 in n
1552122433.777 * [backup-simplify]: Simplify 0 into 0
1552122433.777 * [backup-simplify]: Simplify 0 into 0
1552122433.777 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552122433.778 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552122433.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552122433.779 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122433.780 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.780 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552122433.781 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552122433.782 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
1552122433.784 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
1552122433.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552122433.784 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552122433.784 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122433.784 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122433.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552122433.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122433.784 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122433.784 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.784 * [taylor]: Taking taylor expansion of n in n
1552122433.784 * [backup-simplify]: Simplify 0 into 0
1552122433.784 * [backup-simplify]: Simplify 1 into 1
1552122433.784 * [taylor]: Taking taylor expansion of PI in n
1552122433.784 * [backup-simplify]: Simplify PI into PI
1552122433.785 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.787 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122433.787 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.789 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122433.789 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122433.789 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.789 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.790 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122433.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122433.793 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.794 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552122433.799 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.803 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.806 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.806 * [backup-simplify]: Simplify 0 into 0
1552122433.809 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122433.810 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552122433.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552122433.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552122433.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122433.814 * [backup-simplify]: Simplify (- 0) into 0
1552122433.814 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122433.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552122433.816 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552122433.819 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
1552122433.826 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
1552122433.826 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
1552122433.826 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
1552122433.826 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1552122433.826 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122433.826 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122433.826 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1552122433.826 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1552122433.826 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122433.826 * [taylor]: Taking taylor expansion of 2 in n
1552122433.826 * [backup-simplify]: Simplify 2 into 2
1552122433.826 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122433.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122433.827 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1552122433.827 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122433.827 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122433.827 * [taylor]: Taking taylor expansion of 2 in n
1552122433.827 * [backup-simplify]: Simplify 2 into 2
1552122433.827 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.827 * [taylor]: Taking taylor expansion of n in n
1552122433.827 * [backup-simplify]: Simplify 0 into 0
1552122433.827 * [backup-simplify]: Simplify 1 into 1
1552122433.827 * [taylor]: Taking taylor expansion of PI in n
1552122433.827 * [backup-simplify]: Simplify PI into PI
1552122433.828 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.828 * [backup-simplify]: Simplify (* 2 0) into 0
1552122433.830 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.831 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122433.832 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.833 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1552122433.833 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122433.833 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.833 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.833 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122433.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122433.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122433.834 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122433.834 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.834 * [taylor]: Taking taylor expansion of n in n
1552122433.834 * [backup-simplify]: Simplify 0 into 0
1552122433.834 * [backup-simplify]: Simplify 1 into 1
1552122433.834 * [taylor]: Taking taylor expansion of PI in n
1552122433.834 * [backup-simplify]: Simplify PI into PI
1552122433.834 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.836 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122433.837 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.839 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122433.839 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552122433.839 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552122433.839 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122433.839 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122433.839 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552122433.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122433.839 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122433.839 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122433.839 * [taylor]: Taking taylor expansion of n in n
1552122433.839 * [backup-simplify]: Simplify 0 into 0
1552122433.839 * [backup-simplify]: Simplify 1 into 1
1552122433.839 * [taylor]: Taking taylor expansion of PI in n
1552122433.839 * [backup-simplify]: Simplify PI into PI
1552122433.840 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122433.841 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122433.842 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122433.842 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.844 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122433.844 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122433.844 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.844 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.844 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122433.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122433.846 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.848 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1552122433.849 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1552122433.852 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
1552122433.853 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122433.854 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1552122433.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122433.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122433.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122433.859 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1552122433.862 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1552122433.865 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552122433.867 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1552122433.873 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552122433.875 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.875 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552122433.880 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.882 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122433.890 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122433.907 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122433.918 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122433.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1552122433.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122433.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1552122433.923 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1552122433.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122433.931 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122433.934 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122433.936 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122433.958 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552122433.959 * [backup-simplify]: Simplify (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1552122433.959 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1552122433.959 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122433.959 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.959 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.959 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.959 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.959 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.959 * [taylor]: Taking taylor expansion of k in n
1552122433.959 * [backup-simplify]: Simplify k into k
1552122433.959 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.959 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122433.959 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.959 * [taylor]: Taking taylor expansion of 2 in n
1552122433.959 * [backup-simplify]: Simplify 2 into 2
1552122433.959 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.959 * [taylor]: Taking taylor expansion of PI in n
1552122433.959 * [backup-simplify]: Simplify PI into PI
1552122433.959 * [taylor]: Taking taylor expansion of n in n
1552122433.959 * [backup-simplify]: Simplify 0 into 0
1552122433.959 * [backup-simplify]: Simplify 1 into 1
1552122433.960 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.961 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.962 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.962 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.962 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122433.962 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122433.964 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.965 * [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)))
1552122433.966 * [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))))
1552122433.967 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122433.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122433.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.967 * [taylor]: Taking taylor expansion of k in n
1552122433.967 * [backup-simplify]: Simplify k into k
1552122433.968 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.968 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122433.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122433.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122433.968 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552122433.968 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122433.968 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122433.968 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122433.968 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122433.968 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122433.968 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.968 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.968 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.968 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.968 * [taylor]: Taking taylor expansion of k in k
1552122433.968 * [backup-simplify]: Simplify 0 into 0
1552122433.968 * [backup-simplify]: Simplify 1 into 1
1552122433.969 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.969 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122433.969 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122433.969 * [taylor]: Taking taylor expansion of 2 in k
1552122433.969 * [backup-simplify]: Simplify 2 into 2
1552122433.969 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122433.969 * [taylor]: Taking taylor expansion of PI in k
1552122433.969 * [backup-simplify]: Simplify PI into PI
1552122433.969 * [taylor]: Taking taylor expansion of n in k
1552122433.969 * [backup-simplify]: Simplify n into n
1552122433.969 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122433.969 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122433.969 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122433.970 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.970 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.970 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.971 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122433.971 * [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))))
1552122433.971 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122433.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122433.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.971 * [taylor]: Taking taylor expansion of k in k
1552122433.971 * [backup-simplify]: Simplify 0 into 0
1552122433.971 * [backup-simplify]: Simplify 1 into 1
1552122433.971 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.972 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122433.973 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552122433.973 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122433.973 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122433.974 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122433.974 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122433.974 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122433.974 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.974 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122433.974 * [taylor]: Taking taylor expansion of 1/2 in k
1552122433.974 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.974 * [taylor]: Taking taylor expansion of k in k
1552122433.974 * [backup-simplify]: Simplify 0 into 0
1552122433.974 * [backup-simplify]: Simplify 1 into 1
1552122433.974 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.974 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122433.974 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122433.974 * [taylor]: Taking taylor expansion of 2 in k
1552122433.974 * [backup-simplify]: Simplify 2 into 2
1552122433.974 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122433.974 * [taylor]: Taking taylor expansion of PI in k
1552122433.974 * [backup-simplify]: Simplify PI into PI
1552122433.974 * [taylor]: Taking taylor expansion of n in k
1552122433.974 * [backup-simplify]: Simplify n into n
1552122433.975 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122433.975 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122433.975 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122433.975 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122433.975 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122433.976 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122433.976 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122433.976 * [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))))
1552122433.976 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122433.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122433.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122433.977 * [taylor]: Taking taylor expansion of k in k
1552122433.977 * [backup-simplify]: Simplify 0 into 0
1552122433.977 * [backup-simplify]: Simplify 1 into 1
1552122433.977 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122433.977 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122433.979 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122433.979 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1552122433.979 * [taylor]: Taking taylor expansion of 0 in n
1552122433.979 * [backup-simplify]: Simplify 0 into 0
1552122433.979 * [backup-simplify]: Simplify 0 into 0
1552122433.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122433.980 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122433.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122433.980 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122433.980 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122433.980 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122433.980 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122433.980 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122433.980 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122433.980 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122433.980 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122433.980 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.980 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122433.980 * [taylor]: Taking taylor expansion of 1/2 in n
1552122433.980 * [backup-simplify]: Simplify 1/2 into 1/2
1552122433.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122433.980 * [taylor]: Taking taylor expansion of k in n
1552122433.980 * [backup-simplify]: Simplify k into k
1552122433.981 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122433.981 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122433.981 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122433.981 * [taylor]: Taking taylor expansion of 2 in n
1552122433.981 * [backup-simplify]: Simplify 2 into 2
1552122433.981 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122433.981 * [taylor]: Taking taylor expansion of PI in n
1552122433.981 * [backup-simplify]: Simplify PI into PI
1552122433.981 * [taylor]: Taking taylor expansion of n in n
1552122433.981 * [backup-simplify]: Simplify 0 into 0
1552122433.981 * [backup-simplify]: Simplify 1 into 1
1552122433.981 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122433.984 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122433.985 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122433.985 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122433.985 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122433.986 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122433.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122433.988 * [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)))
1552122433.989 * [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))))
1552122433.990 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122433.992 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122433.993 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122433.994 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122433.994 * [backup-simplify]: Simplify 0 into 0
1552122433.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122433.998 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122433.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122434.000 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122434.000 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122434.000 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.000 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.000 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.000 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.000 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.000 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.000 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.000 * [taylor]: Taking taylor expansion of k in n
1552122434.000 * [backup-simplify]: Simplify k into k
1552122434.000 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.000 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.000 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.000 * [taylor]: Taking taylor expansion of 2 in n
1552122434.000 * [backup-simplify]: Simplify 2 into 2
1552122434.000 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.000 * [taylor]: Taking taylor expansion of PI in n
1552122434.000 * [backup-simplify]: Simplify PI into PI
1552122434.000 * [taylor]: Taking taylor expansion of n in n
1552122434.000 * [backup-simplify]: Simplify 0 into 0
1552122434.000 * [backup-simplify]: Simplify 1 into 1
1552122434.001 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.001 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.003 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.003 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.003 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.005 * [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)))
1552122434.006 * [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))))
1552122434.008 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122434.009 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122434.010 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122434.011 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122434.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122434.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122434.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122434.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122434.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122434.016 * [backup-simplify]: Simplify (- 0) into 0
1552122434.017 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.019 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122434.021 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122434.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1552122434.025 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552122434.026 * [backup-simplify]: Simplify (- 0) into 0
1552122434.026 * [backup-simplify]: Simplify 0 into 0
1552122434.026 * [backup-simplify]: Simplify 0 into 0
1552122434.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122434.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122434.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122434.033 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122434.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122434.033 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.033 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.033 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.033 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.033 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.033 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.033 * [taylor]: Taking taylor expansion of k in n
1552122434.033 * [backup-simplify]: Simplify k into k
1552122434.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.033 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.033 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.033 * [taylor]: Taking taylor expansion of 2 in n
1552122434.033 * [backup-simplify]: Simplify 2 into 2
1552122434.034 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.034 * [taylor]: Taking taylor expansion of PI in n
1552122434.034 * [backup-simplify]: Simplify PI into PI
1552122434.034 * [taylor]: Taking taylor expansion of n in n
1552122434.034 * [backup-simplify]: Simplify 0 into 0
1552122434.034 * [backup-simplify]: Simplify 1 into 1
1552122434.034 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.035 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.036 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.036 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.036 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.036 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.039 * [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)))
1552122434.040 * [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))))
1552122434.041 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122434.042 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122434.043 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122434.045 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122434.048 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552122434.049 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1552122434.049 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1552122434.049 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122434.049 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122434.049 * [taylor]: Taking taylor expansion of -1 in n
1552122434.049 * [backup-simplify]: Simplify -1 into -1
1552122434.049 * [taylor]: Taking taylor expansion of k in n
1552122434.049 * [backup-simplify]: Simplify k into k
1552122434.049 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122434.049 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122434.049 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122434.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122434.050 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.050 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122434.050 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122434.050 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.050 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.050 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.050 * [taylor]: Taking taylor expansion of k in n
1552122434.050 * [backup-simplify]: Simplify k into k
1552122434.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.050 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.050 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.050 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.050 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.050 * [taylor]: Taking taylor expansion of -2 in n
1552122434.050 * [backup-simplify]: Simplify -2 into -2
1552122434.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.050 * [taylor]: Taking taylor expansion of PI in n
1552122434.050 * [backup-simplify]: Simplify PI into PI
1552122434.050 * [taylor]: Taking taylor expansion of n in n
1552122434.050 * [backup-simplify]: Simplify 0 into 0
1552122434.050 * [backup-simplify]: Simplify 1 into 1
1552122434.051 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.051 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.052 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.052 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.052 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.054 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.055 * [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)))
1552122434.056 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1552122434.057 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122434.057 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552122434.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122434.057 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122434.057 * [taylor]: Taking taylor expansion of -1 in k
1552122434.057 * [backup-simplify]: Simplify -1 into -1
1552122434.057 * [taylor]: Taking taylor expansion of k in k
1552122434.057 * [backup-simplify]: Simplify 0 into 0
1552122434.057 * [backup-simplify]: Simplify 1 into 1
1552122434.058 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122434.058 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.060 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122434.060 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122434.060 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122434.060 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122434.060 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122434.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.060 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.060 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.060 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.060 * [taylor]: Taking taylor expansion of k in k
1552122434.060 * [backup-simplify]: Simplify 0 into 0
1552122434.060 * [backup-simplify]: Simplify 1 into 1
1552122434.060 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.060 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.060 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.060 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122434.060 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122434.060 * [taylor]: Taking taylor expansion of -2 in k
1552122434.060 * [backup-simplify]: Simplify -2 into -2
1552122434.060 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.060 * [taylor]: Taking taylor expansion of PI in k
1552122434.061 * [backup-simplify]: Simplify PI into PI
1552122434.061 * [taylor]: Taking taylor expansion of n in k
1552122434.061 * [backup-simplify]: Simplify n into n
1552122434.061 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.061 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122434.061 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122434.061 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.062 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.062 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122434.062 * [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)))
1552122434.062 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552122434.062 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552122434.062 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122434.062 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122434.062 * [taylor]: Taking taylor expansion of -1 in k
1552122434.062 * [backup-simplify]: Simplify -1 into -1
1552122434.062 * [taylor]: Taking taylor expansion of k in k
1552122434.062 * [backup-simplify]: Simplify 0 into 0
1552122434.062 * [backup-simplify]: Simplify 1 into 1
1552122434.063 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122434.063 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.065 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122434.065 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122434.065 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122434.065 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122434.065 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122434.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.065 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.065 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.065 * [taylor]: Taking taylor expansion of k in k
1552122434.065 * [backup-simplify]: Simplify 0 into 0
1552122434.065 * [backup-simplify]: Simplify 1 into 1
1552122434.065 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.065 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.065 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.065 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122434.065 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122434.065 * [taylor]: Taking taylor expansion of -2 in k
1552122434.065 * [backup-simplify]: Simplify -2 into -2
1552122434.066 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.066 * [taylor]: Taking taylor expansion of PI in k
1552122434.066 * [backup-simplify]: Simplify PI into PI
1552122434.066 * [taylor]: Taking taylor expansion of n in k
1552122434.066 * [backup-simplify]: Simplify n into n
1552122434.066 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.066 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122434.066 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122434.066 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.067 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.067 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122434.067 * [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)))
1552122434.067 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552122434.067 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.067 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.068 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.068 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.068 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.068 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.068 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.068 * [taylor]: Taking taylor expansion of -2 in n
1552122434.068 * [backup-simplify]: Simplify -2 into -2
1552122434.068 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.068 * [taylor]: Taking taylor expansion of PI in n
1552122434.068 * [backup-simplify]: Simplify PI into PI
1552122434.068 * [taylor]: Taking taylor expansion of n in n
1552122434.068 * [backup-simplify]: Simplify 0 into 0
1552122434.068 * [backup-simplify]: Simplify 1 into 1
1552122434.068 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.069 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.070 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.070 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.070 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.070 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.070 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.070 * [taylor]: Taking taylor expansion of k in n
1552122434.070 * [backup-simplify]: Simplify k into k
1552122434.070 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.070 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.070 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.071 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.072 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.073 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.074 * [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))))
1552122434.075 * [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)))))
1552122434.076 * [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)))))
1552122434.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122434.080 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122434.081 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552122434.081 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552122434.081 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122434.081 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.081 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.081 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.081 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.081 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.081 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.081 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.081 * [taylor]: Taking taylor expansion of -2 in n
1552122434.081 * [backup-simplify]: Simplify -2 into -2
1552122434.081 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.081 * [taylor]: Taking taylor expansion of PI in n
1552122434.082 * [backup-simplify]: Simplify PI into PI
1552122434.082 * [taylor]: Taking taylor expansion of n in n
1552122434.082 * [backup-simplify]: Simplify 0 into 0
1552122434.082 * [backup-simplify]: Simplify 1 into 1
1552122434.082 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.083 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.084 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.084 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.084 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.084 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.084 * [taylor]: Taking taylor expansion of k in n
1552122434.084 * [backup-simplify]: Simplify k into k
1552122434.084 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.084 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.084 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.085 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.085 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.086 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.087 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.088 * [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))))
1552122434.089 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122434.090 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122434.091 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122434.093 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122434.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122434.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122434.095 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122434.097 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122434.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122434.100 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552122434.102 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122434.105 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1552122434.105 * [backup-simplify]: Simplify 0 into 0
1552122434.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122434.110 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122434.111 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552122434.111 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552122434.111 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122434.112 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.112 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.112 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.112 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.112 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.112 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.112 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.112 * [taylor]: Taking taylor expansion of -2 in n
1552122434.112 * [backup-simplify]: Simplify -2 into -2
1552122434.112 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.112 * [taylor]: Taking taylor expansion of PI in n
1552122434.112 * [backup-simplify]: Simplify PI into PI
1552122434.112 * [taylor]: Taking taylor expansion of n in n
1552122434.112 * [backup-simplify]: Simplify 0 into 0
1552122434.112 * [backup-simplify]: Simplify 1 into 1
1552122434.112 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.113 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.114 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.114 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.114 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.114 * [taylor]: Taking taylor expansion of k in n
1552122434.114 * [backup-simplify]: Simplify k into k
1552122434.114 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.114 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.114 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.116 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.116 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.117 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.118 * [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))))
1552122434.119 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122434.120 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122434.122 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122434.123 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122434.130 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552122434.131 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1552122434.131 * [backup-simplify]: Simplify (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1552122434.131 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1552122434.131 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122434.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122434.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.131 * [taylor]: Taking taylor expansion of k in n
1552122434.131 * [backup-simplify]: Simplify k into k
1552122434.131 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.131 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122434.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122434.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122434.131 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122434.132 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122434.132 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122434.132 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122434.132 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.132 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.132 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122434.132 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.132 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.132 * [taylor]: Taking taylor expansion of k in n
1552122434.132 * [backup-simplify]: Simplify k into k
1552122434.132 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122434.132 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122434.132 * [taylor]: Taking taylor expansion of 2 in n
1552122434.132 * [backup-simplify]: Simplify 2 into 2
1552122434.132 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.132 * [taylor]: Taking taylor expansion of n in n
1552122434.132 * [backup-simplify]: Simplify 0 into 0
1552122434.132 * [backup-simplify]: Simplify 1 into 1
1552122434.132 * [taylor]: Taking taylor expansion of PI in n
1552122434.132 * [backup-simplify]: Simplify PI into PI
1552122434.133 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.133 * [backup-simplify]: Simplify (* 2 0) into 0
1552122434.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.136 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122434.137 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.137 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122434.137 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122434.137 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122434.139 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.140 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122434.141 * [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)))))
1552122434.141 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122434.141 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122434.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.141 * [taylor]: Taking taylor expansion of k in k
1552122434.141 * [backup-simplify]: Simplify 0 into 0
1552122434.141 * [backup-simplify]: Simplify 1 into 1
1552122434.141 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.142 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.143 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122434.143 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122434.143 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122434.143 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122434.143 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122434.143 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.143 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.143 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122434.144 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.144 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.144 * [taylor]: Taking taylor expansion of k in k
1552122434.144 * [backup-simplify]: Simplify 0 into 0
1552122434.144 * [backup-simplify]: Simplify 1 into 1
1552122434.144 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122434.144 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122434.144 * [taylor]: Taking taylor expansion of 2 in k
1552122434.144 * [backup-simplify]: Simplify 2 into 2
1552122434.144 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122434.144 * [taylor]: Taking taylor expansion of n in k
1552122434.144 * [backup-simplify]: Simplify n into n
1552122434.144 * [taylor]: Taking taylor expansion of PI in k
1552122434.144 * [backup-simplify]: Simplify PI into PI
1552122434.144 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122434.144 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122434.144 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122434.145 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122434.145 * [backup-simplify]: Simplify (- 0) into 0
1552122434.145 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.145 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122434.146 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122434.146 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122434.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122434.146 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.146 * [taylor]: Taking taylor expansion of k in k
1552122434.146 * [backup-simplify]: Simplify 0 into 0
1552122434.146 * [backup-simplify]: Simplify 1 into 1
1552122434.146 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.146 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122434.148 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122434.148 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122434.148 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122434.148 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122434.148 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.148 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.148 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122434.148 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.148 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.148 * [taylor]: Taking taylor expansion of k in k
1552122434.148 * [backup-simplify]: Simplify 0 into 0
1552122434.148 * [backup-simplify]: Simplify 1 into 1
1552122434.148 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122434.148 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122434.148 * [taylor]: Taking taylor expansion of 2 in k
1552122434.148 * [backup-simplify]: Simplify 2 into 2
1552122434.148 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122434.148 * [taylor]: Taking taylor expansion of n in k
1552122434.148 * [backup-simplify]: Simplify n into n
1552122434.149 * [taylor]: Taking taylor expansion of PI in k
1552122434.149 * [backup-simplify]: Simplify PI into PI
1552122434.149 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122434.149 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122434.149 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122434.149 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122434.150 * [backup-simplify]: Simplify (- 0) into 0
1552122434.150 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.150 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122434.150 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122434.151 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1552122434.151 * [taylor]: Taking taylor expansion of 0 in n
1552122434.151 * [backup-simplify]: Simplify 0 into 0
1552122434.151 * [backup-simplify]: Simplify 0 into 0
1552122434.151 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552122434.152 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552122434.152 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552122434.153 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122434.153 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122434.154 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122434.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552122434.155 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552122434.155 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1552122434.155 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122434.155 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122434.155 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.155 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.155 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122434.155 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.155 * [taylor]: Taking taylor expansion of 2 in n
1552122434.155 * [backup-simplify]: Simplify 2 into 2
1552122434.156 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.156 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.156 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.156 * [taylor]: Taking taylor expansion of n in n
1552122434.156 * [backup-simplify]: Simplify 0 into 0
1552122434.156 * [backup-simplify]: Simplify 1 into 1
1552122434.157 * [taylor]: Taking taylor expansion of PI in n
1552122434.157 * [backup-simplify]: Simplify PI into PI
1552122434.157 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.158 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.159 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.160 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.161 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122434.161 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.161 * [backup-simplify]: Simplify (- 0) into 0
1552122434.161 * [backup-simplify]: Simplify 0 into 0
1552122434.161 * [backup-simplify]: Simplify 0 into 0
1552122434.162 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552122434.163 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552122434.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552122434.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122434.166 * [backup-simplify]: Simplify (- 0) into 0
1552122434.167 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552122434.169 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552122434.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122434.173 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122434.174 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1552122434.174 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552122434.174 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552122434.174 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552122434.174 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.174 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.174 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552122434.174 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552122434.174 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.174 * [taylor]: Taking taylor expansion of 2 in n
1552122434.174 * [backup-simplify]: Simplify 2 into 2
1552122434.174 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.175 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122434.175 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122434.175 * [taylor]: Taking taylor expansion of 2 in n
1552122434.175 * [backup-simplify]: Simplify 2 into 2
1552122434.175 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.175 * [taylor]: Taking taylor expansion of n in n
1552122434.175 * [backup-simplify]: Simplify 0 into 0
1552122434.175 * [backup-simplify]: Simplify 1 into 1
1552122434.175 * [taylor]: Taking taylor expansion of PI in n
1552122434.175 * [backup-simplify]: Simplify PI into PI
1552122434.176 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.176 * [backup-simplify]: Simplify (* 2 0) into 0
1552122434.178 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.179 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122434.180 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.180 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.180 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.180 * [taylor]: Taking taylor expansion of n in n
1552122434.180 * [backup-simplify]: Simplify 0 into 0
1552122434.180 * [backup-simplify]: Simplify 1 into 1
1552122434.180 * [taylor]: Taking taylor expansion of PI in n
1552122434.180 * [backup-simplify]: Simplify PI into PI
1552122434.181 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.182 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.184 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.184 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122434.184 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122434.184 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.184 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.184 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122434.184 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.184 * [taylor]: Taking taylor expansion of 2 in n
1552122434.184 * [backup-simplify]: Simplify 2 into 2
1552122434.185 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.185 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.185 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.185 * [taylor]: Taking taylor expansion of n in n
1552122434.185 * [backup-simplify]: Simplify 0 into 0
1552122434.185 * [backup-simplify]: Simplify 1 into 1
1552122434.186 * [taylor]: Taking taylor expansion of PI in n
1552122434.186 * [backup-simplify]: Simplify PI into PI
1552122434.186 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.188 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.189 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.190 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.192 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552122434.193 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552122434.194 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.194 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122434.195 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.195 * [backup-simplify]: Simplify (- 0) into 0
1552122434.195 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.196 * [backup-simplify]: Simplify (- 0) into 0
1552122434.196 * [backup-simplify]: Simplify 0 into 0
1552122434.199 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.204 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.207 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.210 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.210 * [backup-simplify]: Simplify 0 into 0
1552122434.210 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122434.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1552122434.215 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1552122434.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552122434.216 * [backup-simplify]: Simplify (- 0) into 0
1552122434.217 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1552122434.220 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1552122434.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122434.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122434.226 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
1552122434.226 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
1552122434.226 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
1552122434.226 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552122434.226 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.226 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.226 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552122434.227 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552122434.227 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.227 * [taylor]: Taking taylor expansion of 2 in n
1552122434.227 * [backup-simplify]: Simplify 2 into 2
1552122434.227 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.228 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122434.228 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122434.228 * [taylor]: Taking taylor expansion of 2 in n
1552122434.228 * [backup-simplify]: Simplify 2 into 2
1552122434.228 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.228 * [taylor]: Taking taylor expansion of n in n
1552122434.228 * [backup-simplify]: Simplify 0 into 0
1552122434.228 * [backup-simplify]: Simplify 1 into 1
1552122434.228 * [taylor]: Taking taylor expansion of PI in n
1552122434.228 * [backup-simplify]: Simplify PI into PI
1552122434.228 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.229 * [backup-simplify]: Simplify (* 2 0) into 0
1552122434.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.232 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122434.233 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.233 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.233 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.233 * [taylor]: Taking taylor expansion of n in n
1552122434.233 * [backup-simplify]: Simplify 0 into 0
1552122434.233 * [backup-simplify]: Simplify 1 into 1
1552122434.233 * [taylor]: Taking taylor expansion of PI in n
1552122434.233 * [backup-simplify]: Simplify PI into PI
1552122434.233 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.235 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.237 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.237 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552122434.237 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552122434.237 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1552122434.237 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.237 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.237 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1552122434.237 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1552122434.237 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.237 * [taylor]: Taking taylor expansion of 2 in n
1552122434.237 * [backup-simplify]: Simplify 2 into 2
1552122434.238 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.238 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1552122434.238 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122434.238 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122434.238 * [taylor]: Taking taylor expansion of 2 in n
1552122434.238 * [backup-simplify]: Simplify 2 into 2
1552122434.239 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.239 * [taylor]: Taking taylor expansion of n in n
1552122434.239 * [backup-simplify]: Simplify 0 into 0
1552122434.239 * [backup-simplify]: Simplify 1 into 1
1552122434.239 * [taylor]: Taking taylor expansion of PI in n
1552122434.239 * [backup-simplify]: Simplify PI into PI
1552122434.239 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.240 * [backup-simplify]: Simplify (* 2 0) into 0
1552122434.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.243 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122434.244 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.245 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.245 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.245 * [taylor]: Taking taylor expansion of n in n
1552122434.245 * [backup-simplify]: Simplify 0 into 0
1552122434.245 * [backup-simplify]: Simplify 1 into 1
1552122434.246 * [taylor]: Taking taylor expansion of PI in n
1552122434.246 * [backup-simplify]: Simplify PI into PI
1552122434.246 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.248 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.249 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122434.249 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122434.249 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.249 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.249 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122434.249 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122434.249 * [taylor]: Taking taylor expansion of 2 in n
1552122434.249 * [backup-simplify]: Simplify 2 into 2
1552122434.250 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122434.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122434.251 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122434.251 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122434.251 * [taylor]: Taking taylor expansion of n in n
1552122434.251 * [backup-simplify]: Simplify 0 into 0
1552122434.251 * [backup-simplify]: Simplify 1 into 1
1552122434.251 * [taylor]: Taking taylor expansion of PI in n
1552122434.251 * [backup-simplify]: Simplify PI into PI
1552122434.251 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122434.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122434.253 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.255 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122434.256 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.257 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552122434.259 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552122434.259 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.261 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.262 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.264 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1552122434.265 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1552122434.266 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1552122434.267 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.267 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122434.267 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122434.267 * [backup-simplify]: Simplify (- 0) into 0
1552122434.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.268 * [backup-simplify]: Simplify (- 0) into 0
1552122434.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.268 * [backup-simplify]: Simplify (- 0) into 0
1552122434.268 * [backup-simplify]: Simplify 0 into 0
1552122434.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122434.272 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122434.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122434.274 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122434.275 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122434.276 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552122434.280 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552122434.282 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.284 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.286 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122434.291 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1552122434.298 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552122434.305 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552122434.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122434.311 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1552122434.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1552122434.317 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122434.326 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122434.331 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122434.334 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122434.348 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552122434.348 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122434.349 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1552122434.349 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.349 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122434.349 * [taylor]: Taking taylor expansion of k in n
1552122434.349 * [backup-simplify]: Simplify k into k
1552122434.349 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122434.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122434.349 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.349 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.349 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.349 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.349 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.349 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.349 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.349 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.349 * [taylor]: Taking taylor expansion of k in n
1552122434.349 * [backup-simplify]: Simplify k into k
1552122434.349 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.349 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.349 * [taylor]: Taking taylor expansion of 2 in n
1552122434.349 * [backup-simplify]: Simplify 2 into 2
1552122434.349 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.349 * [taylor]: Taking taylor expansion of PI in n
1552122434.349 * [backup-simplify]: Simplify PI into PI
1552122434.349 * [taylor]: Taking taylor expansion of n in n
1552122434.349 * [backup-simplify]: Simplify 0 into 0
1552122434.349 * [backup-simplify]: Simplify 1 into 1
1552122434.350 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.350 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.351 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.351 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.352 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.352 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.353 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.354 * [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)))
1552122434.355 * [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))))
1552122434.355 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122434.356 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122434.356 * [taylor]: Taking taylor expansion of k in k
1552122434.356 * [backup-simplify]: Simplify 0 into 0
1552122434.356 * [backup-simplify]: Simplify 1 into 1
1552122434.356 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122434.358 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122434.358 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122434.358 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122434.358 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122434.358 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.358 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.358 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.358 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.358 * [taylor]: Taking taylor expansion of k in k
1552122434.358 * [backup-simplify]: Simplify 0 into 0
1552122434.358 * [backup-simplify]: Simplify 1 into 1
1552122434.358 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.358 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122434.358 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122434.358 * [taylor]: Taking taylor expansion of 2 in k
1552122434.358 * [backup-simplify]: Simplify 2 into 2
1552122434.358 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.358 * [taylor]: Taking taylor expansion of PI in k
1552122434.358 * [backup-simplify]: Simplify PI into PI
1552122434.358 * [taylor]: Taking taylor expansion of n in k
1552122434.358 * [backup-simplify]: Simplify n into n
1552122434.359 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.359 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122434.359 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122434.359 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.360 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122434.360 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122434.360 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122434.360 * [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))))
1552122434.360 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122434.360 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122434.360 * [taylor]: Taking taylor expansion of k in k
1552122434.360 * [backup-simplify]: Simplify 0 into 0
1552122434.360 * [backup-simplify]: Simplify 1 into 1
1552122434.361 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.362 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122434.362 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122434.362 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122434.362 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122434.362 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122434.362 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.362 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.362 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.362 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.362 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.363 * [taylor]: Taking taylor expansion of k in k
1552122434.363 * [backup-simplify]: Simplify 0 into 0
1552122434.363 * [backup-simplify]: Simplify 1 into 1
1552122434.363 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.363 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122434.363 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122434.363 * [taylor]: Taking taylor expansion of 2 in k
1552122434.363 * [backup-simplify]: Simplify 2 into 2
1552122434.363 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.363 * [taylor]: Taking taylor expansion of PI in k
1552122434.363 * [backup-simplify]: Simplify PI into PI
1552122434.363 * [taylor]: Taking taylor expansion of n in k
1552122434.363 * [backup-simplify]: Simplify n into n
1552122434.363 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.363 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122434.364 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122434.364 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.364 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122434.365 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122434.365 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122434.365 * [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))))
1552122434.366 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1552122434.366 * [taylor]: Taking taylor expansion of 0 in n
1552122434.366 * [backup-simplify]: Simplify 0 into 0
1552122434.366 * [backup-simplify]: Simplify 0 into 0
1552122434.366 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122434.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122434.366 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.366 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.366 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.366 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.366 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.366 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.366 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.366 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.367 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.367 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.367 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.367 * [taylor]: Taking taylor expansion of k in n
1552122434.367 * [backup-simplify]: Simplify k into k
1552122434.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.367 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.367 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.367 * [taylor]: Taking taylor expansion of 2 in n
1552122434.367 * [backup-simplify]: Simplify 2 into 2
1552122434.367 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.367 * [taylor]: Taking taylor expansion of PI in n
1552122434.367 * [backup-simplify]: Simplify PI into PI
1552122434.367 * [taylor]: Taking taylor expansion of n in n
1552122434.367 * [backup-simplify]: Simplify 0 into 0
1552122434.367 * [backup-simplify]: Simplify 1 into 1
1552122434.367 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.368 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.369 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.369 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.369 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.369 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.371 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.372 * [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)))
1552122434.373 * [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))))
1552122434.374 * [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)))))
1552122434.375 * [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))))))
1552122434.376 * [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))))))
1552122434.376 * [backup-simplify]: Simplify 0 into 0
1552122434.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122434.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122434.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122434.380 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.380 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.380 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.380 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.380 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.381 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.381 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.381 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.381 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.381 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.381 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.381 * [taylor]: Taking taylor expansion of k in n
1552122434.381 * [backup-simplify]: Simplify k into k
1552122434.381 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.381 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.381 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.381 * [taylor]: Taking taylor expansion of 2 in n
1552122434.381 * [backup-simplify]: Simplify 2 into 2
1552122434.381 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.381 * [taylor]: Taking taylor expansion of PI in n
1552122434.381 * [backup-simplify]: Simplify PI into PI
1552122434.381 * [taylor]: Taking taylor expansion of n in n
1552122434.381 * [backup-simplify]: Simplify 0 into 0
1552122434.381 * [backup-simplify]: Simplify 1 into 1
1552122434.382 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.382 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.383 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.383 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.383 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.383 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.385 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.386 * [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)))
1552122434.387 * [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))))
1552122434.388 * [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)))))
1552122434.389 * [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))))))
1552122434.391 * [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))))))
1552122434.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122434.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122434.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122434.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122434.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122434.398 * [backup-simplify]: Simplify (- 0) into 0
1552122434.398 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.400 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.401 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122434.403 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122434.404 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552122434.405 * [backup-simplify]: Simplify (- 0) into 0
1552122434.405 * [backup-simplify]: Simplify 0 into 0
1552122434.405 * [backup-simplify]: Simplify 0 into 0
1552122434.409 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122434.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122434.411 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122434.411 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122434.411 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.411 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122434.411 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122434.411 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122434.411 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122434.411 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.411 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.411 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.411 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.411 * [taylor]: Taking taylor expansion of k in n
1552122434.411 * [backup-simplify]: Simplify k into k
1552122434.411 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.411 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122434.411 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122434.411 * [taylor]: Taking taylor expansion of 2 in n
1552122434.411 * [backup-simplify]: Simplify 2 into 2
1552122434.411 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.412 * [taylor]: Taking taylor expansion of PI in n
1552122434.412 * [backup-simplify]: Simplify PI into PI
1552122434.412 * [taylor]: Taking taylor expansion of n in n
1552122434.412 * [backup-simplify]: Simplify 0 into 0
1552122434.412 * [backup-simplify]: Simplify 1 into 1
1552122434.412 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.413 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122434.414 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122434.414 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.414 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122434.414 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122434.415 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122434.417 * [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)))
1552122434.418 * [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))))
1552122434.419 * [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)))))
1552122434.420 * [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))))))
1552122434.421 * [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))))))
1552122434.425 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
1552122434.426 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1552122434.426 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1552122434.426 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122434.426 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.426 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122434.426 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122434.426 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.426 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.426 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.426 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.426 * [taylor]: Taking taylor expansion of k in n
1552122434.426 * [backup-simplify]: Simplify k into k
1552122434.426 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.426 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.426 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.426 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.426 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.426 * [taylor]: Taking taylor expansion of -2 in n
1552122434.426 * [backup-simplify]: Simplify -2 into -2
1552122434.426 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.426 * [taylor]: Taking taylor expansion of PI in n
1552122434.426 * [backup-simplify]: Simplify PI into PI
1552122434.426 * [taylor]: Taking taylor expansion of n in n
1552122434.426 * [backup-simplify]: Simplify 0 into 0
1552122434.426 * [backup-simplify]: Simplify 1 into 1
1552122434.427 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.427 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.428 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.428 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.428 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.430 * [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)))
1552122434.431 * [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))))
1552122434.431 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122434.431 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122434.431 * [taylor]: Taking taylor expansion of -1 in n
1552122434.431 * [backup-simplify]: Simplify -1 into -1
1552122434.431 * [taylor]: Taking taylor expansion of k in n
1552122434.431 * [backup-simplify]: Simplify k into k
1552122434.431 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122434.431 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122434.431 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122434.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122434.432 * [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)))
1552122434.432 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122434.432 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122434.432 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122434.432 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122434.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122434.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.432 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.432 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.432 * [taylor]: Taking taylor expansion of k in k
1552122434.432 * [backup-simplify]: Simplify 0 into 0
1552122434.432 * [backup-simplify]: Simplify 1 into 1
1552122434.432 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.432 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.432 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.432 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122434.432 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122434.432 * [taylor]: Taking taylor expansion of -2 in k
1552122434.432 * [backup-simplify]: Simplify -2 into -2
1552122434.433 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.433 * [taylor]: Taking taylor expansion of PI in k
1552122434.433 * [backup-simplify]: Simplify PI into PI
1552122434.433 * [taylor]: Taking taylor expansion of n in k
1552122434.433 * [backup-simplify]: Simplify n into n
1552122434.433 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.433 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122434.433 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122434.433 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.433 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.433 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122434.433 * [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)))
1552122434.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122434.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122434.434 * [taylor]: Taking taylor expansion of -1 in k
1552122434.434 * [backup-simplify]: Simplify -1 into -1
1552122434.434 * [taylor]: Taking taylor expansion of k in k
1552122434.434 * [backup-simplify]: Simplify 0 into 0
1552122434.434 * [backup-simplify]: Simplify 1 into 1
1552122434.434 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122434.434 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.435 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122434.435 * [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))))
1552122434.435 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122434.435 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122434.435 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122434.435 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122434.435 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122434.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122434.435 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.435 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122434.435 * [taylor]: Taking taylor expansion of k in k
1552122434.435 * [backup-simplify]: Simplify 0 into 0
1552122434.435 * [backup-simplify]: Simplify 1 into 1
1552122434.436 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122434.436 * [taylor]: Taking taylor expansion of 1/2 in k
1552122434.436 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.436 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122434.436 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122434.436 * [taylor]: Taking taylor expansion of -2 in k
1552122434.436 * [backup-simplify]: Simplify -2 into -2
1552122434.436 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122434.436 * [taylor]: Taking taylor expansion of PI in k
1552122434.436 * [backup-simplify]: Simplify PI into PI
1552122434.436 * [taylor]: Taking taylor expansion of n in k
1552122434.436 * [backup-simplify]: Simplify n into n
1552122434.436 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122434.436 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122434.436 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122434.436 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122434.437 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122434.437 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122434.437 * [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)))
1552122434.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122434.437 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122434.437 * [taylor]: Taking taylor expansion of -1 in k
1552122434.437 * [backup-simplify]: Simplify -1 into -1
1552122434.437 * [taylor]: Taking taylor expansion of k in k
1552122434.437 * [backup-simplify]: Simplify 0 into 0
1552122434.437 * [backup-simplify]: Simplify 1 into 1
1552122434.437 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122434.437 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122434.438 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122434.438 * [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))))
1552122434.438 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.438 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.438 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.439 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.439 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.439 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.439 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.439 * [taylor]: Taking taylor expansion of -2 in n
1552122434.439 * [backup-simplify]: Simplify -2 into -2
1552122434.439 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.439 * [taylor]: Taking taylor expansion of PI in n
1552122434.439 * [backup-simplify]: Simplify PI into PI
1552122434.439 * [taylor]: Taking taylor expansion of n in n
1552122434.439 * [backup-simplify]: Simplify 0 into 0
1552122434.439 * [backup-simplify]: Simplify 1 into 1
1552122434.439 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.439 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.440 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.440 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.440 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.440 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.440 * [taylor]: Taking taylor expansion of k in n
1552122434.440 * [backup-simplify]: Simplify k into k
1552122434.440 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.440 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.440 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.441 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.441 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.442 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.442 * [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))))
1552122434.443 * [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)))))
1552122434.444 * [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)))))
1552122434.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122434.446 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122434.446 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552122434.447 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122434.447 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.447 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.447 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.447 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.447 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.447 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.447 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.447 * [taylor]: Taking taylor expansion of -2 in n
1552122434.447 * [backup-simplify]: Simplify -2 into -2
1552122434.447 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.447 * [taylor]: Taking taylor expansion of PI in n
1552122434.447 * [backup-simplify]: Simplify PI into PI
1552122434.447 * [taylor]: Taking taylor expansion of n in n
1552122434.447 * [backup-simplify]: Simplify 0 into 0
1552122434.447 * [backup-simplify]: Simplify 1 into 1
1552122434.447 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.447 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.448 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.448 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.448 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.448 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.448 * [taylor]: Taking taylor expansion of k in n
1552122434.448 * [backup-simplify]: Simplify k into k
1552122434.448 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.448 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.448 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.449 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.449 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.449 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.450 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.450 * [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))))
1552122434.451 * [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)))))
1552122434.452 * [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))))))
1552122434.452 * [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))))))
1552122434.453 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122434.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122434.454 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122434.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122434.455 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122434.456 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122434.456 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552122434.458 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122434.458 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1552122434.459 * [backup-simplify]: Simplify 0 into 0
1552122434.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122434.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122434.463 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552122434.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122434.463 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122434.463 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122434.463 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122434.463 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122434.463 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122434.463 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122434.463 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122434.464 * [taylor]: Taking taylor expansion of -2 in n
1552122434.464 * [backup-simplify]: Simplify -2 into -2
1552122434.464 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122434.464 * [taylor]: Taking taylor expansion of PI in n
1552122434.464 * [backup-simplify]: Simplify PI into PI
1552122434.464 * [taylor]: Taking taylor expansion of n in n
1552122434.464 * [backup-simplify]: Simplify 0 into 0
1552122434.464 * [backup-simplify]: Simplify 1 into 1
1552122434.464 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122434.465 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122434.466 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122434.466 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122434.466 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122434.466 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.466 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.466 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122434.466 * [taylor]: Taking taylor expansion of k in n
1552122434.466 * [backup-simplify]: Simplify k into k
1552122434.466 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122434.466 * [taylor]: Taking taylor expansion of 1/2 in n
1552122434.466 * [backup-simplify]: Simplify 1/2 into 1/2
1552122434.467 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122434.467 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122434.467 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122434.468 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122434.470 * [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))))
1552122434.471 * [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)))))
1552122434.472 * [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))))))
1552122434.473 * [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))))))
1552122434.476 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
1552122434.476 * * * [progress]: simplifying candidates
1552122434.476 * * * * [progress]: [ 1 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122434.476 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552122434.476 * * [simplify]: iters left: 6 (11 enodes)
1552122434.479 * * [simplify]: iters left: 5 (43 enodes)
1552122434.486 * * [simplify]: iters left: 4 (79 enodes)
1552122434.501 * * [simplify]: iters left: 3 (174 enodes)
1552122434.575 * * [simplify]: iters left: 2 (469 enodes)
1552122434.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122434.857 * * [simplify]: Extracting #1: cost 84 inf + 0
1552122434.858 * * [simplify]: Extracting #2: cost 306 inf + 0
1552122434.861 * * [simplify]: Extracting #3: cost 323 inf + 700
1552122434.866 * * [simplify]: Extracting #4: cost 264 inf + 10482
1552122434.896 * * [simplify]: Extracting #5: cost 52 inf + 75582
1552122434.934 * * [simplify]: Extracting #6: cost 0 inf + 94795
1552122434.953 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552122434.954 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552122434.954 * * * * [progress]: [ 2 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122434.954 * * * * [progress]: [ 3 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1552122434.954 * [simplify]: Simplifying (* (* n 2) PI)
1552122434.954 * * [simplify]: iters left: 4 (5 enodes)
1552122434.956 * * [simplify]: iters left: 3 (19 enodes)
1552122434.959 * * [simplify]: iters left: 2 (27 enodes)
1552122434.963 * * [simplify]: iters left: 1 (32 enodes)
1552122434.967 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122434.967 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122434.967 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122434.968 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122434.968 * [simplify]: Simplified to (* (* n 2) PI)
1552122434.968 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1552122434.968 * * * * [progress]: [ 4 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1552122434.968 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122434.969 * * [simplify]: iters left: 5 (8 enodes)
1552122434.973 * * [simplify]: iters left: 4 (28 enodes)
1552122434.979 * * [simplify]: iters left: 3 (36 enodes)
1552122434.984 * * [simplify]: iters left: 2 (41 enodes)
1552122434.991 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122434.991 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122434.991 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122434.991 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122434.991 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122434.992 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122434.992 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122434.992 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))
1552122434.992 * * * * [progress]: [ 5 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
1552122434.992 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552122434.992 * * [simplify]: iters left: 5 (6 enodes)
1552122434.994 * * [simplify]: iters left: 4 (20 enodes)
1552122434.997 * * [simplify]: iters left: 3 (25 enodes)
1552122435.001 * * [simplify]: iters left: 2 (27 enodes)
1552122435.005 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.005 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122435.005 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122435.005 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122435.005 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122435.005 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122435.006 * * [simplify]: Extracting #6: cost 1 inf + 662
1552122435.006 * * [simplify]: Extracting #7: cost 0 inf + 825
1552122435.006 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552122435.006 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))
1552122435.006 * * * * [progress]: [ 6 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1552122435.006 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552122435.007 * * [simplify]: iters left: 5 (6 enodes)
1552122435.009 * * [simplify]: iters left: 4 (20 enodes)
1552122435.012 * * [simplify]: iters left: 3 (25 enodes)
1552122435.019 * * [simplify]: iters left: 2 (27 enodes)
1552122435.027 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.027 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122435.027 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122435.027 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122435.027 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122435.027 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122435.028 * * [simplify]: Extracting #6: cost 1 inf + 622
1552122435.028 * * [simplify]: Extracting #7: cost 0 inf + 745
1552122435.028 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552122435.028 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))
1552122435.028 * * * * [progress]: [ 7 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1552122435.029 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552122435.029 * * [simplify]: iters left: 4 (5 enodes)
1552122435.032 * * [simplify]: iters left: 3 (17 enodes)
1552122435.037 * * [simplify]: iters left: 2 (22 enodes)
1552122435.043 * * [simplify]: iters left: 1 (24 enodes)
1552122435.050 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.050 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122435.050 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122435.051 * * [simplify]: Extracting #3: cost 1 inf + 458
1552122435.051 * * [simplify]: Extracting #4: cost 0 inf + 499
1552122435.051 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552122435.051 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1552122435.051 * * * * [progress]: [ 8 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122435.052 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122435.052 * * [simplify]: iters left: 5 (9 enodes)
1552122435.056 * * [simplify]: iters left: 4 (33 enodes)
1552122435.066 * * [simplify]: iters left: 3 (43 enodes)
1552122435.078 * * [simplify]: iters left: 2 (48 enodes)
1552122435.088 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.088 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122435.089 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122435.089 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122435.089 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122435.089 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122435.090 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122435.090 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122435.090 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1552122435.090 * * * * [progress]: [ 9 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122435.091 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122435.091 * * [simplify]: iters left: 5 (9 enodes)
1552122435.095 * * [simplify]: iters left: 4 (33 enodes)
1552122435.103 * * [simplify]: iters left: 3 (43 enodes)
1552122435.111 * * [simplify]: iters left: 2 (48 enodes)
1552122435.118 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.118 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122435.118 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122435.118 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122435.118 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122435.119 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122435.119 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122435.119 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122435.119 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1552122435.119 * * * * [progress]: [ 10 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1552122435.120 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552122435.120 * * [simplify]: iters left: 5 (8 enodes)
1552122435.122 * * [simplify]: iters left: 4 (27 enodes)
1552122435.126 * * [simplify]: iters left: 3 (32 enodes)
1552122435.131 * * [simplify]: iters left: 2 (34 enodes)
1552122435.136 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.136 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122435.136 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122435.136 * * [simplify]: Extracting #3: cost 12 inf + 3
1552122435.136 * * [simplify]: Extracting #4: cost 8 inf + 171
1552122435.136 * * [simplify]: Extracting #5: cost 1 inf + 918
1552122435.136 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552122435.137 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552122435.137 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))
1552122435.137 * * * * [progress]: [ 11 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1552122435.137 * * * * [progress]: [ 12 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 13 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 14 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 15 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 16 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 17 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122435.137 * * * * [progress]: [ 18 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.137 * * * * [progress]: [ 19 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 20 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 21 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 22 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 23 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 24 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 25 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 26 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 27 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 28 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1552122435.137 * * * * [progress]: [ 29 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1552122435.138 * * * * [progress]: [ 30 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122435.138 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1552122435.138 * * [simplify]: iters left: 6 (14 enodes)
1552122435.141 * * [simplify]: iters left: 5 (54 enodes)
1552122435.150 * * [simplify]: iters left: 4 (99 enodes)
1552122435.168 * * [simplify]: iters left: 3 (251 enodes)
1552122435.229 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.229 * * [simplify]: Extracting #1: cost 22 inf + 0
1552122435.229 * * [simplify]: Extracting #2: cost 151 inf + 0
1552122435.230 * * [simplify]: Extracting #3: cost 206 inf + 3
1552122435.232 * * [simplify]: Extracting #4: cost 173 inf + 5981
1552122435.238 * * [simplify]: Extracting #5: cost 39 inf + 35063
1552122435.247 * * [simplify]: Extracting #6: cost 0 inf + 45920
1552122435.259 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1552122435.259 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552122435.259 * * * * [progress]: [ 31 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122435.260 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1552122435.260 * * [simplify]: iters left: 6 (14 enodes)
1552122435.263 * * [simplify]: iters left: 5 (54 enodes)
1552122435.272 * * [simplify]: iters left: 4 (99 enodes)
1552122435.290 * * [simplify]: iters left: 3 (251 enodes)
1552122435.382 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.382 * * [simplify]: Extracting #1: cost 22 inf + 0
1552122435.382 * * [simplify]: Extracting #2: cost 151 inf + 0
1552122435.383 * * [simplify]: Extracting #3: cost 206 inf + 3
1552122435.384 * * [simplify]: Extracting #4: cost 173 inf + 5981
1552122435.390 * * [simplify]: Extracting #5: cost 39 inf + 35063
1552122435.403 * * [simplify]: Extracting #6: cost 0 inf + 45920
1552122435.413 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1552122435.413 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552122435.414 * * * * [progress]: [ 32 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.414 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122435.414 * * [simplify]: iters left: 6 (14 enodes)
1552122435.417 * * [simplify]: iters left: 5 (52 enodes)
1552122435.425 * * [simplify]: iters left: 4 (82 enodes)
1552122435.451 * * [simplify]: iters left: 3 (163 enodes)
1552122435.487 * * [simplify]: iters left: 2 (399 enodes)
1552122435.683 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122435.683 * * [simplify]: Extracting #1: cost 48 inf + 0
1552122435.684 * * [simplify]: Extracting #2: cost 211 inf + 0
1552122435.686 * * [simplify]: Extracting #3: cost 265 inf + 74
1552122435.690 * * [simplify]: Extracting #4: cost 228 inf + 7096
1552122435.701 * * [simplify]: Extracting #5: cost 73 inf + 44667
1552122435.715 * * [simplify]: Extracting #6: cost 0 inf + 66878
1552122435.733 * * [simplify]: Extracting #7: cost 0 inf + 66248
1552122435.749 * [simplify]: Simplified to (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1552122435.749 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))
1552122435.749 * * * * [progress]: [ 33 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.749 * * * * [progress]: [ 34 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.749 * * * * [progress]: [ 35 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122435.749 * [simplify]: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122435.750 * * [simplify]: iters left: 6 (16 enodes)
1552122435.758 * * [simplify]: iters left: 5 (61 enodes)
1552122435.777 * * [simplify]: iters left: 4 (115 enodes)
1552122435.813 * * [simplify]: iters left: 3 (192 enodes)
1552122435.873 * * [simplify]: iters left: 2 (231 enodes)
1552122435.943 * * [simplify]: iters left: 1 (252 enodes)
1552122436.018 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.018 * * [simplify]: Extracting #1: cost 24 inf + 0
1552122436.019 * * [simplify]: Extracting #2: cost 46 inf + 42
1552122436.019 * * [simplify]: Extracting #3: cost 53 inf + 246
1552122436.020 * * [simplify]: Extracting #4: cost 52 inf + 458
1552122436.022 * * [simplify]: Extracting #5: cost 24 inf + 9511
1552122436.026 * * [simplify]: Extracting #6: cost 3 inf + 18519
1552122436.030 * * [simplify]: Extracting #7: cost 0 inf + 19924
1552122436.035 * [simplify]: Simplified to (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1552122436.035 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* k (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))))
1552122436.035 * * * * [progress]: [ 36 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.035 * * * * [progress]: [ 37 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.035 * * * * [progress]: [ 38 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.035 * * * * [progress]: [ 39 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122436.035 * * * * [progress]: [ 40 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122436.035 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1552122436.035 * * [simplify]: iters left: 6 (12 enodes)
1552122436.038 * * [simplify]: iters left: 5 (43 enodes)
1552122436.044 * * [simplify]: iters left: 4 (55 enodes)
1552122436.052 * * [simplify]: iters left: 3 (63 enodes)
1552122436.059 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.059 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122436.059 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122436.059 * * [simplify]: Extracting #3: cost 23 inf + 1
1552122436.059 * * [simplify]: Extracting #4: cost 19 inf + 130
1552122436.060 * * [simplify]: Extracting #5: cost 9 inf + 986
1552122436.060 * * [simplify]: Extracting #6: cost 3 inf + 2207
1552122436.061 * * [simplify]: Extracting #7: cost 0 inf + 3099
1552122436.061 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1552122436.061 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122436.061 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122436.061 * * [simplify]: iters left: 6 (12 enodes)
1552122436.064 * * [simplify]: iters left: 5 (42 enodes)
1552122436.071 * * [simplify]: iters left: 4 (52 enodes)
1552122436.088 * * [simplify]: iters left: 3 (57 enodes)
1552122436.100 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.100 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.100 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.100 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122436.100 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122436.100 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122436.101 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122436.101 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122436.101 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122436.102 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552122436.102 * * * * [progress]: [ 41 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122436.102 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1552122436.102 * * [simplify]: iters left: 6 (12 enodes)
1552122436.105 * * [simplify]: iters left: 5 (43 enodes)
1552122436.111 * * [simplify]: iters left: 4 (55 enodes)
1552122436.119 * * [simplify]: iters left: 3 (63 enodes)
1552122436.127 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.127 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122436.127 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122436.127 * * [simplify]: Extracting #3: cost 23 inf + 1
1552122436.127 * * [simplify]: Extracting #4: cost 19 inf + 130
1552122436.127 * * [simplify]: Extracting #5: cost 9 inf + 986
1552122436.127 * * [simplify]: Extracting #6: cost 3 inf + 2207
1552122436.128 * * [simplify]: Extracting #7: cost 0 inf + 3099
1552122436.128 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1552122436.128 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122436.129 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122436.129 * * [simplify]: iters left: 6 (12 enodes)
1552122436.131 * * [simplify]: iters left: 5 (42 enodes)
1552122436.137 * * [simplify]: iters left: 4 (52 enodes)
1552122436.144 * * [simplify]: iters left: 3 (57 enodes)
1552122436.151 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.151 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.151 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.151 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122436.151 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122436.152 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122436.152 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122436.152 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122436.153 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122436.153 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552122436.153 * * * * [progress]: [ 42 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1552122436.153 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1552122436.153 * * [simplify]: iters left: 6 (12 enodes)
1552122436.156 * * [simplify]: iters left: 5 (41 enodes)
1552122436.163 * * [simplify]: iters left: 4 (50 enodes)
1552122436.170 * * [simplify]: iters left: 3 (55 enodes)
1552122436.181 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.182 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122436.182 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122436.182 * * [simplify]: Extracting #3: cost 24 inf + 0
1552122436.182 * * [simplify]: Extracting #4: cost 22 inf + 45
1552122436.182 * * [simplify]: Extracting #5: cost 12 inf + 983
1552122436.183 * * [simplify]: Extracting #6: cost 2 inf + 3914
1552122436.184 * * [simplify]: Extracting #7: cost 0 inf + 4942
1552122436.185 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1552122436.185 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552122436.186 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122436.186 * * [simplify]: iters left: 6 (10 enodes)
1552122436.191 * * [simplify]: iters left: 5 (32 enodes)
1552122436.201 * * [simplify]: iters left: 4 (37 enodes)
1552122436.211 * * [simplify]: iters left: 3 (39 enodes)
1552122436.222 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.222 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.222 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.222 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122436.222 * * [simplify]: Extracting #4: cost 16 inf + 3
1552122436.222 * * [simplify]: Extracting #5: cost 14 inf + 86
1552122436.223 * * [simplify]: Extracting #6: cost 5 inf + 742
1552122436.223 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552122436.224 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122436.224 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552122436.224 * * * * [progress]: [ 43 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.224 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122436.225 * * [simplify]: iters left: 6 (16 enodes)
1552122436.232 * * [simplify]: iters left: 5 (60 enodes)
1552122436.250 * * [simplify]: iters left: 4 (88 enodes)
1552122436.275 * * [simplify]: iters left: 3 (102 enodes)
1552122436.301 * * [simplify]: iters left: 2 (105 enodes)
1552122436.329 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.329 * * [simplify]: Extracting #1: cost 11 inf + 0
1552122436.329 * * [simplify]: Extracting #2: cost 22 inf + 0
1552122436.329 * * [simplify]: Extracting #3: cost 27 inf + 0
1552122436.329 * * [simplify]: Extracting #4: cost 36 inf + 42
1552122436.329 * * [simplify]: Extracting #5: cost 32 inf + 693
1552122436.330 * * [simplify]: Extracting #6: cost 23 inf + 1234
1552122436.331 * * [simplify]: Extracting #7: cost 17 inf + 1940
1552122436.333 * * [simplify]: Extracting #8: cost 3 inf + 10070
1552122436.336 * * [simplify]: Extracting #9: cost 0 inf + 11915
1552122436.340 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552122436.340 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122436.340 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.340 * * [simplify]: iters left: 6 (14 enodes)
1552122436.347 * * [simplify]: iters left: 5 (48 enodes)
1552122436.360 * * [simplify]: iters left: 4 (61 enodes)
1552122436.369 * * [simplify]: iters left: 3 (68 enodes)
1552122436.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.377 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.377 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122436.377 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122436.377 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122436.377 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122436.378 * * [simplify]: Extracting #6: cost 4 inf + 3019
1552122436.378 * * [simplify]: Extracting #7: cost 0 inf + 4133
1552122436.379 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122436.379 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552122436.379 * * * * [progress]: [ 44 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.379 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.379 * * [simplify]: iters left: 6 (15 enodes)
1552122436.383 * * [simplify]: iters left: 5 (53 enodes)
1552122436.391 * * [simplify]: iters left: 4 (70 enodes)
1552122436.411 * * [simplify]: iters left: 3 (80 enodes)
1552122436.433 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.433 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122436.433 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122436.433 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122436.433 * * [simplify]: Extracting #4: cost 29 inf + 1
1552122436.434 * * [simplify]: Extracting #5: cost 28 inf + 129
1552122436.434 * * [simplify]: Extracting #6: cost 11 inf + 2482
1552122436.436 * * [simplify]: Extracting #7: cost 1 inf + 6100
1552122436.437 * * [simplify]: Extracting #8: cost 0 inf + 6675
1552122436.439 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
1552122436.439 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122436.440 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.440 * * [simplify]: iters left: 6 (14 enodes)
1552122436.447 * * [simplify]: iters left: 5 (48 enodes)
1552122436.460 * * [simplify]: iters left: 4 (61 enodes)
1552122436.473 * * [simplify]: iters left: 3 (68 enodes)
1552122436.482 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.482 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.482 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122436.482 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122436.482 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122436.482 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122436.483 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552122436.483 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552122436.484 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122436.484 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552122436.484 * * * * [progress]: [ 45 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122436.484 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1552122436.484 * * [simplify]: iters left: 6 (6 enodes)
1552122436.486 * * [simplify]: iters left: 5 (20 enodes)
1552122436.490 * * [simplify]: iters left: 4 (30 enodes)
1552122436.494 * * [simplify]: iters left: 3 (31 enodes)
1552122436.498 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.498 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122436.498 * * [simplify]: Extracting #2: cost 7 inf + 1
1552122436.498 * * [simplify]: Extracting #3: cost 9 inf + 1
1552122436.499 * * [simplify]: Extracting #4: cost 8 inf + 2
1552122436.499 * * [simplify]: Extracting #5: cost 0 inf + 972
1552122436.499 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552122436.499 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122436.499 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122436.499 * * [simplify]: iters left: 6 (13 enodes)
1552122436.503 * * [simplify]: iters left: 5 (45 enodes)
1552122436.516 * * [simplify]: iters left: 4 (58 enodes)
1552122436.532 * * [simplify]: iters left: 3 (65 enodes)
1552122436.550 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.550 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.550 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.550 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122436.550 * * [simplify]: Extracting #4: cost 20 inf + 172
1552122436.550 * * [simplify]: Extracting #5: cost 13 inf + 587
1552122436.551 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552122436.552 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552122436.553 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122436.553 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122436.553 * * * * [progress]: [ 46 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122436.553 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1552122436.554 * * [simplify]: iters left: 6 (11 enodes)
1552122436.559 * * [simplify]: iters left: 5 (38 enodes)
1552122436.570 * * [simplify]: iters left: 4 (46 enodes)
1552122436.582 * * [simplify]: iters left: 3 (52 enodes)
1552122436.595 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.595 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.595 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.595 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122436.596 * * [simplify]: Extracting #4: cost 10 inf + 501
1552122436.596 * * [simplify]: Extracting #5: cost 5 inf + 710
1552122436.597 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552122436.597 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552122436.598 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1552122436.598 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122436.598 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122436.598 * * [simplify]: iters left: 6 (12 enodes)
1552122436.604 * * [simplify]: iters left: 5 (42 enodes)
1552122436.616 * * [simplify]: iters left: 4 (52 enodes)
1552122436.629 * * [simplify]: iters left: 3 (57 enodes)
1552122436.642 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.642 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.643 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.643 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122436.643 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122436.643 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122436.643 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122436.644 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122436.644 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122436.644 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552122436.644 * * * * [progress]: [ 47 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122436.644 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1552122436.644 * * [simplify]: iters left: 6 (11 enodes)
1552122436.647 * * [simplify]: iters left: 5 (38 enodes)
1552122436.653 * * [simplify]: iters left: 4 (46 enodes)
1552122436.659 * * [simplify]: iters left: 3 (52 enodes)
1552122436.665 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.665 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.665 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.665 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122436.665 * * [simplify]: Extracting #4: cost 10 inf + 501
1552122436.666 * * [simplify]: Extracting #5: cost 5 inf + 710
1552122436.666 * * [simplify]: Extracting #6: cost 1 inf + 1157
1552122436.666 * * [simplify]: Extracting #7: cost 0 inf + 1401
1552122436.667 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1552122436.667 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122436.667 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122436.667 * * [simplify]: iters left: 6 (12 enodes)
1552122436.672 * * [simplify]: iters left: 5 (42 enodes)
1552122436.681 * * [simplify]: iters left: 4 (52 enodes)
1552122436.688 * * [simplify]: iters left: 3 (57 enodes)
1552122436.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.694 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.694 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.694 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122436.695 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122436.695 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122436.695 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122436.695 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122436.696 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122436.696 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))))))
1552122436.696 * * * * [progress]: [ 48 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1552122436.696 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1552122436.696 * * [simplify]: iters left: 6 (11 enodes)
1552122436.699 * * [simplify]: iters left: 5 (36 enodes)
1552122436.704 * * [simplify]: iters left: 4 (41 enodes)
1552122436.715 * * [simplify]: iters left: 3 (43 enodes)
1552122436.726 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.726 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.726 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.726 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122436.726 * * [simplify]: Extracting #4: cost 16 inf + 46
1552122436.727 * * [simplify]: Extracting #5: cost 11 inf + 335
1552122436.727 * * [simplify]: Extracting #6: cost 3 inf + 1162
1552122436.728 * * [simplify]: Extracting #7: cost 0 inf + 2404
1552122436.728 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1552122436.728 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552122436.729 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122436.729 * * [simplify]: iters left: 6 (10 enodes)
1552122436.734 * * [simplify]: iters left: 5 (32 enodes)
1552122436.743 * * [simplify]: iters left: 4 (37 enodes)
1552122436.754 * * [simplify]: iters left: 3 (39 enodes)
1552122436.765 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.765 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.765 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122436.765 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122436.765 * * [simplify]: Extracting #4: cost 16 inf + 3
1552122436.765 * * [simplify]: Extracting #5: cost 14 inf + 86
1552122436.765 * * [simplify]: Extracting #6: cost 5 inf + 662
1552122436.766 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552122436.767 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122436.767 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))
1552122436.767 * * * * [progress]: [ 49 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.767 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122436.767 * * [simplify]: iters left: 6 (15 enodes)
1552122436.774 * * [simplify]: iters left: 5 (53 enodes)
1552122436.788 * * [simplify]: iters left: 4 (68 enodes)
1552122436.798 * * [simplify]: iters left: 3 (75 enodes)
1552122436.809 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.810 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122436.810 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122436.810 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122436.810 * * [simplify]: Extracting #4: cost 27 inf + 1
1552122436.810 * * [simplify]: Extracting #5: cost 24 inf + 213
1552122436.811 * * [simplify]: Extracting #6: cost 6 inf + 3317
1552122436.812 * * [simplify]: Extracting #7: cost 0 inf + 6193
1552122436.814 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552122436.814 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122436.814 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.814 * * [simplify]: iters left: 6 (14 enodes)
1552122436.821 * * [simplify]: iters left: 5 (48 enodes)
1552122436.835 * * [simplify]: iters left: 4 (61 enodes)
1552122436.852 * * [simplify]: iters left: 3 (68 enodes)
1552122436.869 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.869 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.869 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122436.869 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122436.869 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122436.869 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122436.870 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552122436.871 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552122436.872 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122436.873 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552122436.873 * * * * [progress]: [ 50 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122436.873 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.873 * * [simplify]: iters left: 6 (14 enodes)
1552122436.880 * * [simplify]: iters left: 5 (48 enodes)
1552122436.893 * * [simplify]: iters left: 4 (61 enodes)
1552122436.910 * * [simplify]: iters left: 3 (68 enodes)
1552122436.929 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.930 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.930 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122436.930 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122436.930 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122436.930 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122436.931 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552122436.932 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552122436.933 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122436.933 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122436.933 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122436.934 * * [simplify]: iters left: 6 (14 enodes)
1552122436.939 * * [simplify]: iters left: 5 (48 enodes)
1552122436.946 * * [simplify]: iters left: 4 (61 enodes)
1552122436.954 * * [simplify]: iters left: 3 (68 enodes)
1552122436.962 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.962 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.962 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122436.962 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122436.962 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122436.963 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122436.963 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552122436.964 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552122436.964 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122436.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))))
1552122436.964 * * * * [progress]: [ 51 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122436.965 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1)
1552122436.965 * * [simplify]: iters left: 4 (5 enodes)
1552122436.967 * * [simplify]: iters left: 3 (15 enodes)
1552122436.971 * * [simplify]: iters left: 2 (17 enodes)
1552122436.976 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122436.976 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122436.976 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122436.976 * * [simplify]: Extracting #3: cost 4 inf + 2
1552122436.976 * * [simplify]: Extracting #4: cost 1 inf + 165
1552122436.976 * * [simplify]: Extracting #5: cost 0 inf + 246
1552122436.976 * [simplify]: Simplified to (sqrt (sqrt k))
1552122436.976 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122436.977 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122436.977 * * [simplify]: iters left: 6 (13 enodes)
1552122436.982 * * [simplify]: iters left: 5 (45 enodes)
1552122436.988 * * [simplify]: iters left: 4 (58 enodes)
1552122436.996 * * [simplify]: iters left: 3 (65 enodes)
1552122437.004 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.005 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.005 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.005 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122437.005 * * [simplify]: Extracting #4: cost 20 inf + 172
1552122437.005 * * [simplify]: Extracting #5: cost 13 inf + 587
1552122437.005 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552122437.006 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552122437.006 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122437.006 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122437.006 * * * * [progress]: [ 52 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122437.006 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1552122437.007 * * [simplify]: iters left: 6 (9 enodes)
1552122437.009 * * [simplify]: iters left: 5 (34 enodes)
1552122437.019 * * [simplify]: iters left: 4 (44 enodes)
1552122437.034 * * [simplify]: iters left: 3 (49 enodes)
1552122437.047 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.047 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.047 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122437.047 * * [simplify]: Extracting #3: cost 12 inf + 2
1552122437.048 * * [simplify]: Extracting #4: cost 6 inf + 501
1552122437.048 * * [simplify]: Extracting #5: cost 0 inf + 997
1552122437.049 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1552122437.049 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122437.049 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552122437.049 * * [simplify]: iters left: 6 (11 enodes)
1552122437.055 * * [simplify]: iters left: 5 (39 enodes)
1552122437.066 * * [simplify]: iters left: 4 (49 enodes)
1552122437.080 * * [simplify]: iters left: 3 (55 enodes)
1552122437.093 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.094 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.094 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.094 * * [simplify]: Extracting #3: cost 18 inf + 1
1552122437.094 * * [simplify]: Extracting #4: cost 15 inf + 211
1552122437.094 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552122437.095 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122437.096 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552122437.096 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1552122437.096 * * * * [progress]: [ 53 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1552122437.096 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1552122437.096 * * [simplify]: iters left: 6 (9 enodes)
1552122437.102 * * [simplify]: iters left: 5 (34 enodes)
1552122437.113 * * [simplify]: iters left: 4 (44 enodes)
1552122437.126 * * [simplify]: iters left: 3 (49 enodes)
1552122437.138 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.138 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.138 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122437.138 * * [simplify]: Extracting #3: cost 12 inf + 2
1552122437.139 * * [simplify]: Extracting #4: cost 6 inf + 501
1552122437.139 * * [simplify]: Extracting #5: cost 0 inf + 997
1552122437.140 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1552122437.140 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1552122437.140 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552122437.140 * * [simplify]: iters left: 6 (11 enodes)
1552122437.145 * * [simplify]: iters left: 5 (39 enodes)
1552122437.156 * * [simplify]: iters left: 4 (49 enodes)
1552122437.170 * * [simplify]: iters left: 3 (55 enodes)
1552122437.185 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.186 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.186 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.186 * * [simplify]: Extracting #3: cost 18 inf + 1
1552122437.186 * * [simplify]: Extracting #4: cost 15 inf + 211
1552122437.186 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552122437.187 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122437.188 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552122437.188 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1552122437.188 * * * * [progress]: [ 54 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
1552122437.188 * [simplify]: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))
1552122437.188 * * [simplify]: iters left: 6 (10 enodes)
1552122437.194 * * [simplify]: iters left: 5 (35 enodes)
1552122437.205 * * [simplify]: iters left: 4 (42 enodes)
1552122437.217 * * [simplify]: iters left: 3 (44 enodes)
1552122437.230 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.230 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.230 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122437.230 * * [simplify]: Extracting #3: cost 13 inf + 1
1552122437.230 * * [simplify]: Extracting #4: cost 13 inf + 46
1552122437.230 * * [simplify]: Extracting #5: cost 11 inf + 130
1552122437.230 * * [simplify]: Extracting #6: cost 5 inf + 503
1552122437.231 * * [simplify]: Extracting #7: cost 0 inf + 2003
1552122437.231 * [simplify]: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))
1552122437.231 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
1552122437.232 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552122437.232 * * [simplify]: iters left: 6 (9 enodes)
1552122437.236 * * [simplify]: iters left: 5 (29 enodes)
1552122437.245 * * [simplify]: iters left: 4 (34 enodes)
1552122437.254 * * [simplify]: iters left: 3 (36 enodes)
1552122437.264 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.264 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.264 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.265 * * [simplify]: Extracting #3: cost 11 inf + 2
1552122437.265 * * [simplify]: Extracting #4: cost 12 inf + 85
1552122437.265 * * [simplify]: Extracting #5: cost 9 inf + 251
1552122437.265 * * [simplify]: Extracting #6: cost 4 inf + 793
1552122437.266 * * [simplify]: Extracting #7: cost 0 inf + 1918
1552122437.266 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552122437.266 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))
1552122437.266 * * * * [progress]: [ 55 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.267 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122437.267 * * [simplify]: iters left: 6 (14 enodes)
1552122437.274 * * [simplify]: iters left: 5 (52 enodes)
1552122437.289 * * [simplify]: iters left: 4 (69 enodes)
1552122437.308 * * [simplify]: iters left: 3 (77 enodes)
1552122437.328 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.328 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122437.328 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122437.329 * * [simplify]: Extracting #3: cost 12 inf + 1
1552122437.329 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122437.329 * * [simplify]: Extracting #5: cost 23 inf + 172
1552122437.331 * * [simplify]: Extracting #6: cost 14 inf + 713
1552122437.332 * * [simplify]: Extracting #7: cost 4 inf + 3651
1552122437.334 * * [simplify]: Extracting #8: cost 0 inf + 5634
1552122437.335 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1552122437.335 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122437.336 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.336 * * [simplify]: iters left: 6 (13 enodes)
1552122437.342 * * [simplify]: iters left: 5 (45 enodes)
1552122437.355 * * [simplify]: iters left: 4 (58 enodes)
1552122437.370 * * [simplify]: iters left: 3 (65 enodes)
1552122437.386 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.387 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122437.387 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122437.387 * * [simplify]: Extracting #4: cost 19 inf + 83
1552122437.387 * * [simplify]: Extracting #5: cost 20 inf + 129
1552122437.387 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122437.388 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552122437.389 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552122437.390 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122437.390 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))))
1552122437.390 * * * * [progress]: [ 56 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.391 * [simplify]: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.391 * * [simplify]: iters left: 6 (13 enodes)
1552122437.397 * * [simplify]: iters left: 5 (47 enodes)
1552122437.411 * * [simplify]: iters left: 4 (62 enodes)
1552122437.423 * * [simplify]: iters left: 3 (69 enodes)
1552122437.432 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.432 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.432 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122437.432 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122437.432 * * [simplify]: Extracting #4: cost 19 inf + 1
1552122437.432 * * [simplify]: Extracting #5: cost 17 inf + 297
1552122437.432 * * [simplify]: Extracting #6: cost 10 inf + 632
1552122437.432 * * [simplify]: Extracting #7: cost 2 inf + 2915
1552122437.433 * * [simplify]: Extracting #8: cost 0 inf + 3412
1552122437.433 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552122437.434 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122437.434 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.434 * * [simplify]: iters left: 6 (13 enodes)
1552122437.437 * * [simplify]: iters left: 5 (45 enodes)
1552122437.444 * * [simplify]: iters left: 4 (58 enodes)
1552122437.453 * * [simplify]: iters left: 3 (65 enodes)
1552122437.461 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.461 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.462 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122437.462 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122437.462 * * [simplify]: Extracting #4: cost 19 inf + 83
1552122437.462 * * [simplify]: Extracting #5: cost 20 inf + 129
1552122437.462 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122437.462 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552122437.463 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552122437.463 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122437.463 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))))
1552122437.463 * * * * [progress]: [ 57 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.464 * [simplify]: Simplifying (/ 1 1)
1552122437.464 * * [simplify]: iters left: 2 (2 enodes)
1552122437.465 * * [simplify]: iters left: 1 (6 enodes)
1552122437.466 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.466 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122437.467 * [simplify]: Simplified to 1
1552122437.467 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1552122437.467 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122437.467 * * [simplify]: iters left: 6 (12 enodes)
1552122437.473 * * [simplify]: iters left: 5 (42 enodes)
1552122437.485 * * [simplify]: iters left: 4 (55 enodes)
1552122437.500 * * [simplify]: iters left: 3 (62 enodes)
1552122437.515 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.515 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.516 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.516 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122437.516 * * [simplify]: Extracting #4: cost 20 inf + 46
1552122437.516 * * [simplify]: Extracting #5: cost 12 inf + 504
1552122437.517 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552122437.517 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552122437.518 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552122437.518 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))
1552122437.518 * * * * [progress]: [ 58 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.519 * * * * [progress]: [ 59 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.519 * * * * [progress]: [ 60 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552122437.519 * * * * [progress]: [ 61 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122437.519 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122437.519 * * [simplify]: iters left: 5 (9 enodes)
1552122437.523 * * [simplify]: iters left: 4 (33 enodes)
1552122437.533 * * [simplify]: iters left: 3 (43 enodes)
1552122437.545 * * [simplify]: iters left: 2 (48 enodes)
1552122437.556 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.556 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.556 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122437.556 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122437.557 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122437.557 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122437.557 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122437.558 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122437.558 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1552122437.558 * * * * [progress]: [ 62 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122437.558 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122437.558 * * [simplify]: iters left: 5 (9 enodes)
1552122437.560 * * [simplify]: iters left: 4 (33 enodes)
1552122437.565 * * [simplify]: iters left: 3 (43 enodes)
1552122437.571 * * [simplify]: iters left: 2 (48 enodes)
1552122437.578 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.578 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.578 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122437.578 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122437.578 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122437.578 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122437.578 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122437.579 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122437.579 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1552122437.579 * * * * [progress]: [ 63 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1552122437.579 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1552122437.579 * * [simplify]: iters left: 5 (7 enodes)
1552122437.581 * * [simplify]: iters left: 4 (23 enodes)
1552122437.585 * * [simplify]: iters left: 3 (28 enodes)
1552122437.592 * * [simplify]: iters left: 2 (30 enodes)
1552122437.600 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.600 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.600 * * [simplify]: Extracting #2: cost 7 inf + 1
1552122437.600 * * [simplify]: Extracting #3: cost 11 inf + 2
1552122437.600 * * [simplify]: Extracting #4: cost 8 inf + 127
1552122437.601 * * [simplify]: Extracting #5: cost 3 inf + 417
1552122437.601 * * [simplify]: Extracting #6: cost 1 inf + 794
1552122437.601 * * [simplify]: Extracting #7: cost 0 inf + 1088
1552122437.602 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1552122437.602 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
1552122437.602 * * * * [progress]: [ 64 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.602 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122437.602 * * [simplify]: iters left: 6 (11 enodes)
1552122437.607 * * [simplify]: iters left: 5 (39 enodes)
1552122437.618 * * [simplify]: iters left: 4 (52 enodes)
1552122437.632 * * [simplify]: iters left: 3 (59 enodes)
1552122437.646 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.646 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.646 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122437.646 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122437.646 * * [simplify]: Extracting #4: cost 19 inf + 46
1552122437.646 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552122437.647 * * [simplify]: Extracting #6: cost 0 inf + 2579
1552122437.648 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552122437.648 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552122437.648 * * * * [progress]: [ 65 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.648 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122437.648 * * [simplify]: iters left: 6 (11 enodes)
1552122437.653 * * [simplify]: iters left: 5 (39 enodes)
1552122437.664 * * [simplify]: iters left: 4 (52 enodes)
1552122437.674 * * [simplify]: iters left: 3 (59 enodes)
1552122437.681 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.681 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.681 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122437.681 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122437.681 * * [simplify]: Extracting #4: cost 19 inf + 46
1552122437.682 * * [simplify]: Extracting #5: cost 7 inf + 1087
1552122437.682 * * [simplify]: Extracting #6: cost 0 inf + 2499
1552122437.682 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1552122437.682 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552122437.683 * * * * [progress]: [ 66 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122437.683 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122437.683 * * [simplify]: iters left: 5 (10 enodes)
1552122437.685 * * [simplify]: iters left: 4 (36 enodes)
1552122437.692 * * [simplify]: iters left: 3 (49 enodes)
1552122437.700 * * [simplify]: iters left: 2 (56 enodes)
1552122437.710 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.710 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.710 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122437.710 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122437.710 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122437.710 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122437.711 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122437.711 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122437.711 * * * * [progress]: [ 67 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1552122437.711 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552122437.711 * * [simplify]: iters left: 4 (4 enodes)
1552122437.712 * * [simplify]: iters left: 3 (12 enodes)
1552122437.713 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.713 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.713 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122437.713 * * [simplify]: Extracting #3: cost 7 inf + 0
1552122437.713 * * [simplify]: Extracting #4: cost 6 inf + 1
1552122437.714 * * [simplify]: Extracting #5: cost 0 inf + 647
1552122437.714 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552122437.714 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))
1552122437.714 * * * * [progress]: [ 68 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1552122437.714 * [simplify]: Simplifying (sqrt (sqrt k))
1552122437.714 * * [simplify]: iters left: 2 (3 enodes)
1552122437.715 * * [simplify]: iters left: 1 (9 enodes)
1552122437.716 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.716 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.716 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122437.716 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122437.716 * * [simplify]: Extracting #4: cost 0 inf + 245
1552122437.716 * [simplify]: Simplified to (sqrt (sqrt k))
1552122437.716 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))
1552122437.716 * * * * [progress]: [ 69 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1552122437.716 * * * * [progress]: [ 70 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1552122437.716 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122437.716 * * [simplify]: iters left: 5 (8 enodes)
1552122437.718 * * [simplify]: iters left: 4 (28 enodes)
1552122437.722 * * [simplify]: iters left: 3 (36 enodes)
1552122437.727 * * [simplify]: iters left: 2 (41 enodes)
1552122437.732 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.732 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.732 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122437.732 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122437.732 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122437.733 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122437.733 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122437.733 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1552122437.733 * * * * [progress]: [ 71 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.733 * * * * [progress]: [ 72 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))>
1552122437.733 * * * * [progress]: [ 73 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 1)))>
1552122437.733 * [simplify]: Simplifying (- 1)
1552122437.733 * * [simplify]: iters left: 2 (2 enodes)
1552122437.736 * * [simplify]: iters left: 1 (9 enodes)
1552122437.739 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.739 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122437.739 * [simplify]: Simplified to -1
1552122437.739 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))
1552122437.739 * * * * [progress]: [ 74 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1552122437.739 * * * * [progress]: [ 75 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122437.739 * * * * [progress]: [ 76 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122437.739 * * * * [progress]: [ 77 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.739 * * * * [progress]: [ 78 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.739 * * * * [progress]: [ 79 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.740 * * * * [progress]: [ 80 / 124 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.740 * * * * [progress]: [ 81 / 124 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.740 * * * * [progress]: [ 82 / 124 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.740 * * * * [progress]: [ 83 / 124 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122437.740 * * * * [progress]: [ 84 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.740 * * * * [progress]: [ 85 / 124 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.740 * * * * [progress]: [ 86 / 124 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.740 * * * * [progress]: [ 87 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1552122437.740 * * * * [progress]: [ 88 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.740 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.741 * * [simplify]: iters left: 6 (13 enodes)
1552122437.747 * * [simplify]: iters left: 5 (45 enodes)
1552122437.760 * * [simplify]: iters left: 4 (58 enodes)
1552122437.769 * * [simplify]: iters left: 3 (65 enodes)
1552122437.777 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.777 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.777 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122437.777 * * [simplify]: Extracting #3: cost 11 inf + 0
1552122437.777 * * [simplify]: Extracting #4: cost 21 inf + 1
1552122437.777 * * [simplify]: Extracting #5: cost 21 inf + 88
1552122437.777 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122437.777 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552122437.778 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552122437.778 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122437.779 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552122437.779 * * * * [progress]: [ 89 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.779 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.779 * * [simplify]: iters left: 6 (13 enodes)
1552122437.782 * * [simplify]: iters left: 5 (45 enodes)
1552122437.790 * * [simplify]: iters left: 4 (58 enodes)
1552122437.802 * * [simplify]: iters left: 3 (65 enodes)
1552122437.818 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.818 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122437.818 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122437.818 * * [simplify]: Extracting #3: cost 11 inf + 0
1552122437.818 * * [simplify]: Extracting #4: cost 21 inf + 1
1552122437.818 * * [simplify]: Extracting #5: cost 21 inf + 88
1552122437.818 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122437.819 * * [simplify]: Extracting #7: cost 1 inf + 3156
1552122437.819 * * [simplify]: Extracting #8: cost 0 inf + 3651
1552122437.820 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122437.820 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552122437.820 * * * * [progress]: [ 90 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122437.820 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122437.820 * * [simplify]: iters left: 6 (12 enodes)
1552122437.823 * * [simplify]: iters left: 5 (42 enodes)
1552122437.829 * * [simplify]: iters left: 4 (52 enodes)
1552122437.836 * * [simplify]: iters left: 3 (57 enodes)
1552122437.843 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.843 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.843 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.843 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122437.843 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122437.844 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122437.844 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122437.844 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122437.845 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122437.845 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552122437.845 * * * * [progress]: [ 91 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122437.845 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122437.845 * * [simplify]: iters left: 6 (12 enodes)
1552122437.848 * * [simplify]: iters left: 5 (42 enodes)
1552122437.858 * * [simplify]: iters left: 4 (52 enodes)
1552122437.865 * * [simplify]: iters left: 3 (57 enodes)
1552122437.872 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.872 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.872 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.872 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122437.872 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122437.872 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122437.873 * * [simplify]: Extracting #6: cost 1 inf + 2358
1552122437.873 * * [simplify]: Extracting #7: cost 0 inf + 2892
1552122437.873 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122437.873 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552122437.873 * * * * [progress]: [ 92 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1552122437.874 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122437.874 * * [simplify]: iters left: 6 (10 enodes)
1552122437.877 * * [simplify]: iters left: 5 (32 enodes)
1552122437.883 * * [simplify]: iters left: 4 (37 enodes)
1552122437.893 * * [simplify]: iters left: 3 (39 enodes)
1552122437.903 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.904 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.904 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122437.904 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122437.904 * * [simplify]: Extracting #4: cost 16 inf + 3
1552122437.904 * * [simplify]: Extracting #5: cost 14 inf + 86
1552122437.904 * * [simplify]: Extracting #6: cost 5 inf + 742
1552122437.905 * * [simplify]: Extracting #7: cost 0 inf + 2320
1552122437.905 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122437.905 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
1552122437.905 * * * * [progress]: [ 93 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.906 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.906 * * [simplify]: iters left: 6 (14 enodes)
1552122437.912 * * [simplify]: iters left: 5 (48 enodes)
1552122437.926 * * [simplify]: iters left: 4 (61 enodes)
1552122437.934 * * [simplify]: iters left: 3 (68 enodes)
1552122437.943 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.943 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.943 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122437.943 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122437.943 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122437.943 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122437.944 * * [simplify]: Extracting #6: cost 4 inf + 3019
1552122437.944 * * [simplify]: Extracting #7: cost 0 inf + 4133
1552122437.945 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122437.945 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552122437.945 * * * * [progress]: [ 94 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122437.945 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122437.945 * * [simplify]: iters left: 6 (14 enodes)
1552122437.949 * * [simplify]: iters left: 5 (48 enodes)
1552122437.955 * * [simplify]: iters left: 4 (61 enodes)
1552122437.970 * * [simplify]: iters left: 3 (68 enodes)
1552122437.986 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122437.986 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122437.986 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122437.986 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122437.986 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122437.987 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122437.987 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552122437.990 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552122437.991 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122437.991 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552122437.991 * * * * [progress]: [ 95 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122437.992 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122437.992 * * [simplify]: iters left: 6 (13 enodes)
1552122437.998 * * [simplify]: iters left: 5 (45 enodes)
1552122438.011 * * [simplify]: iters left: 4 (58 enodes)
1552122438.027 * * [simplify]: iters left: 3 (65 enodes)
1552122438.043 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.043 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.043 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.043 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122438.043 * * [simplify]: Extracting #4: cost 20 inf + 172
1552122438.043 * * [simplify]: Extracting #5: cost 13 inf + 587
1552122438.044 * * [simplify]: Extracting #6: cost 1 inf + 2528
1552122438.045 * * [simplify]: Extracting #7: cost 0 inf + 3063
1552122438.046 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.046 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122438.046 * * * * [progress]: [ 96 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122438.046 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122438.046 * * [simplify]: iters left: 6 (12 enodes)
1552122438.052 * * [simplify]: iters left: 5 (42 enodes)
1552122438.063 * * [simplify]: iters left: 4 (52 enodes)
1552122438.077 * * [simplify]: iters left: 3 (57 enodes)
1552122438.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.091 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.091 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.091 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122438.091 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122438.091 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122438.092 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122438.093 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122438.094 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122438.094 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552122438.094 * * * * [progress]: [ 97 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122438.094 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1552122438.094 * * [simplify]: iters left: 6 (12 enodes)
1552122438.100 * * [simplify]: iters left: 5 (42 enodes)
1552122438.111 * * [simplify]: iters left: 4 (52 enodes)
1552122438.125 * * [simplify]: iters left: 3 (57 enodes)
1552122438.140 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.140 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.140 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.141 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122438.141 * * [simplify]: Extracting #4: cost 17 inf + 296
1552122438.141 * * [simplify]: Extracting #5: cost 8 inf + 751
1552122438.142 * * [simplify]: Extracting #6: cost 1 inf + 2238
1552122438.143 * * [simplify]: Extracting #7: cost 0 inf + 2732
1552122438.143 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1552122438.143 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))
1552122438.144 * * * * [progress]: [ 98 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1552122438.144 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122438.144 * * [simplify]: iters left: 6 (10 enodes)
1552122438.149 * * [simplify]: iters left: 5 (32 enodes)
1552122438.158 * * [simplify]: iters left: 4 (37 enodes)
1552122438.168 * * [simplify]: iters left: 3 (39 enodes)
1552122438.179 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.179 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.179 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.179 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122438.179 * * [simplify]: Extracting #4: cost 16 inf + 3
1552122438.179 * * [simplify]: Extracting #5: cost 14 inf + 86
1552122438.180 * * [simplify]: Extracting #6: cost 5 inf + 662
1552122438.180 * * [simplify]: Extracting #7: cost 0 inf + 2160
1552122438.181 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1552122438.181 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))
1552122438.181 * * * * [progress]: [ 99 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122438.181 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122438.181 * * [simplify]: iters left: 6 (14 enodes)
1552122438.185 * * [simplify]: iters left: 5 (48 enodes)
1552122438.192 * * [simplify]: iters left: 4 (61 enodes)
1552122438.200 * * [simplify]: iters left: 3 (68 enodes)
1552122438.208 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.208 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.208 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122438.208 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122438.208 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122438.208 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122438.209 * * [simplify]: Extracting #6: cost 4 inf + 2899
1552122438.209 * * [simplify]: Extracting #7: cost 0 inf + 3973
1552122438.210 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122438.210 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552122438.210 * * * * [progress]: [ 100 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122438.211 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122438.211 * * [simplify]: iters left: 6 (14 enodes)
1552122438.217 * * [simplify]: iters left: 5 (48 enodes)
1552122438.231 * * [simplify]: iters left: 4 (61 enodes)
1552122438.240 * * [simplify]: iters left: 3 (68 enodes)
1552122438.250 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.250 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.250 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122438.250 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122438.250 * * [simplify]: Extracting #4: cost 23 inf + 1
1552122438.251 * * [simplify]: Extracting #5: cost 21 inf + 172
1552122438.251 * * [simplify]: Extracting #6: cost 4 inf + 2779
1552122438.251 * * [simplify]: Extracting #7: cost 0 inf + 3813
1552122438.252 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1552122438.252 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))))
1552122438.252 * * * * [progress]: [ 101 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122438.253 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.253 * * [simplify]: iters left: 6 (13 enodes)
1552122438.256 * * [simplify]: iters left: 5 (45 enodes)
1552122438.263 * * [simplify]: iters left: 4 (58 enodes)
1552122438.275 * * [simplify]: iters left: 3 (65 enodes)
1552122438.292 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.292 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.292 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.292 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122438.292 * * [simplify]: Extracting #4: cost 20 inf + 172
1552122438.292 * * [simplify]: Extracting #5: cost 13 inf + 587
1552122438.293 * * [simplify]: Extracting #6: cost 1 inf + 2408
1552122438.294 * * [simplify]: Extracting #7: cost 0 inf + 2903
1552122438.295 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.295 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122438.295 * * * * [progress]: [ 102 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122438.296 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552122438.296 * * [simplify]: iters left: 6 (11 enodes)
1552122438.301 * * [simplify]: iters left: 5 (39 enodes)
1552122438.311 * * [simplify]: iters left: 4 (49 enodes)
1552122438.317 * * [simplify]: iters left: 3 (55 enodes)
1552122438.324 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.324 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.324 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.324 * * [simplify]: Extracting #3: cost 18 inf + 1
1552122438.324 * * [simplify]: Extracting #4: cost 15 inf + 211
1552122438.324 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552122438.325 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122438.325 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552122438.325 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1552122438.325 * * * * [progress]: [ 103 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1552122438.325 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1552122438.325 * * [simplify]: iters left: 6 (11 enodes)
1552122438.328 * * [simplify]: iters left: 5 (39 enodes)
1552122438.333 * * [simplify]: iters left: 4 (49 enodes)
1552122438.342 * * [simplify]: iters left: 3 (55 enodes)
1552122438.358 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.358 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.358 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.358 * * [simplify]: Extracting #3: cost 18 inf + 1
1552122438.358 * * [simplify]: Extracting #4: cost 15 inf + 211
1552122438.358 * * [simplify]: Extracting #5: cost 3 inf + 1208
1552122438.359 * * [simplify]: Extracting #6: cost 0 inf + 2490
1552122438.360 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1552122438.360 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1552122438.360 * * * * [progress]: [ 104 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1552122438.360 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552122438.360 * * [simplify]: iters left: 6 (9 enodes)
1552122438.365 * * [simplify]: iters left: 5 (29 enodes)
1552122438.374 * * [simplify]: iters left: 4 (34 enodes)
1552122438.383 * * [simplify]: iters left: 3 (36 enodes)
1552122438.393 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.393 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.393 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.393 * * [simplify]: Extracting #3: cost 11 inf + 2
1552122438.393 * * [simplify]: Extracting #4: cost 12 inf + 85
1552122438.393 * * [simplify]: Extracting #5: cost 9 inf + 251
1552122438.394 * * [simplify]: Extracting #6: cost 4 inf + 793
1552122438.394 * * [simplify]: Extracting #7: cost 0 inf + 1918
1552122438.395 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1552122438.395 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1552122438.395 * * * * [progress]: [ 105 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122438.395 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122438.395 * * [simplify]: iters left: 6 (13 enodes)
1552122438.401 * * [simplify]: iters left: 5 (45 enodes)
1552122438.414 * * [simplify]: iters left: 4 (58 enodes)
1552122438.422 * * [simplify]: iters left: 3 (65 enodes)
1552122438.430 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.430 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.430 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122438.430 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122438.430 * * [simplify]: Extracting #4: cost 19 inf + 83
1552122438.430 * * [simplify]: Extracting #5: cost 20 inf + 129
1552122438.430 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122438.431 * * [simplify]: Extracting #7: cost 1 inf + 3196
1552122438.431 * * [simplify]: Extracting #8: cost 0 inf + 3731
1552122438.432 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122438.432 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552122438.432 * * * * [progress]: [ 106 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122438.432 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122438.432 * * [simplify]: iters left: 6 (13 enodes)
1552122438.435 * * [simplify]: iters left: 5 (45 enodes)
1552122438.442 * * [simplify]: iters left: 4 (58 enodes)
1552122438.458 * * [simplify]: iters left: 3 (65 enodes)
1552122438.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.471 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.471 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122438.471 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122438.472 * * [simplify]: Extracting #4: cost 19 inf + 83
1552122438.472 * * [simplify]: Extracting #5: cost 20 inf + 129
1552122438.472 * * [simplify]: Extracting #6: cost 11 inf + 711
1552122438.472 * * [simplify]: Extracting #7: cost 1 inf + 3076
1552122438.473 * * [simplify]: Extracting #8: cost 0 inf + 3571
1552122438.473 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1552122438.473 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))
1552122438.473 * * * * [progress]: [ 107 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122438.474 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.474 * * [simplify]: iters left: 6 (12 enodes)
1552122438.477 * * [simplify]: iters left: 5 (42 enodes)
1552122438.483 * * [simplify]: iters left: 4 (55 enodes)
1552122438.490 * * [simplify]: iters left: 3 (62 enodes)
1552122438.498 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.498 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.498 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.498 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122438.498 * * [simplify]: Extracting #4: cost 20 inf + 46
1552122438.499 * * [simplify]: Extracting #5: cost 12 inf + 504
1552122438.499 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552122438.499 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552122438.500 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552122438.500 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552122438.500 * * * * [progress]: [ 108 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122438.500 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.500 * * [simplify]: iters left: 6 (12 enodes)
1552122438.505 * * [simplify]: iters left: 5 (42 enodes)
1552122438.517 * * [simplify]: iters left: 4 (55 enodes)
1552122438.532 * * [simplify]: iters left: 3 (62 enodes)
1552122438.548 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.548 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.548 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122438.548 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122438.548 * * [simplify]: Extracting #4: cost 20 inf + 46
1552122438.548 * * [simplify]: Extracting #5: cost 12 inf + 504
1552122438.549 * * [simplify]: Extracting #6: cost 1 inf + 2206
1552122438.550 * * [simplify]: Extracting #7: cost 0 inf + 2661
1552122438.550 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1552122438.550 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1552122438.551 * * * * [progress]: [ 109 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122438.551 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122438.551 * * [simplify]: iters left: 6 (12 enodes)
1552122438.557 * * [simplify]: iters left: 5 (44 enodes)
1552122438.571 * * [simplify]: iters left: 4 (59 enodes)
1552122438.588 * * [simplify]: iters left: 3 (66 enodes)
1552122438.605 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.605 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.605 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122438.605 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122438.605 * * [simplify]: Extracting #4: cost 15 inf + 297
1552122438.606 * * [simplify]: Extracting #5: cost 8 inf + 673
1552122438.606 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552122438.607 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552122438.608 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552122438.608 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1552122438.608 * * * * [progress]: [ 110 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1552122438.609 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122438.609 * * [simplify]: iters left: 5 (8 enodes)
1552122438.613 * * [simplify]: iters left: 4 (28 enodes)
1552122438.621 * * [simplify]: iters left: 3 (36 enodes)
1552122438.631 * * [simplify]: iters left: 2 (41 enodes)
1552122438.637 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.637 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.637 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122438.637 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122438.637 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122438.637 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122438.638 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122438.638 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1552122438.638 * * * * [progress]: [ 111 / 124 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552122438.638 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122438.638 * * [simplify]: iters left: 5 (10 enodes)
1552122438.641 * * [simplify]: iters left: 4 (36 enodes)
1552122438.646 * * [simplify]: iters left: 3 (49 enodes)
1552122438.653 * * [simplify]: iters left: 2 (56 enodes)
1552122438.660 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.660 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122438.660 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122438.660 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122438.660 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122438.660 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122438.661 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122438.661 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122438.661 * * * * [progress]: [ 112 / 124 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122438.661 * * * * [progress]: [ 113 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
1552122438.661 * [simplify]: Simplifying (- (+ (* 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)))))
1552122438.662 * * [simplify]: iters left: 6 (37 enodes)
1552122438.677 * * [simplify]: iters left: 5 (179 enodes)
1552122438.724 * * [simplify]: iters left: 4 (458 enodes)
1552122438.931 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122438.932 * * [simplify]: Extracting #1: cost 57 inf + 0
1552122438.932 * * [simplify]: Extracting #2: cost 287 inf + 0
1552122438.934 * * [simplify]: Extracting #3: cost 485 inf + 158
1552122438.936 * * [simplify]: Extracting #4: cost 473 inf + 4949
1552122438.952 * * [simplify]: Extracting #5: cost 294 inf + 68227
1552122439.018 * * [simplify]: Extracting #6: cost 43 inf + 204764
1552122439.103 * * [simplify]: Extracting #7: cost 0 inf + 227627
1552122439.203 * * [simplify]: Extracting #8: cost 0 inf + 222950
1552122439.278 * * [simplify]: Extracting #9: cost 0 inf + 222310
1552122439.346 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1552122439.346 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))))))
1552122439.347 * * * * [progress]: [ 114 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1552122439.347 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552122439.347 * * [simplify]: iters left: 6 (15 enodes)
1552122439.356 * * [simplify]: iters left: 5 (63 enodes)
1552122439.377 * * [simplify]: iters left: 4 (108 enodes)
1552122439.414 * * [simplify]: iters left: 3 (260 enodes)
1552122439.526 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122439.526 * * [simplify]: Extracting #1: cost 17 inf + 0
1552122439.526 * * [simplify]: Extracting #2: cost 115 inf + 0
1552122439.526 * * [simplify]: Extracting #3: cost 221 inf + 4
1552122439.528 * * [simplify]: Extracting #4: cost 174 inf + 5827
1552122439.533 * * [simplify]: Extracting #5: cost 46 inf + 35251
1552122439.542 * * [simplify]: Extracting #6: cost 0 inf + 47711
1552122439.555 * * [simplify]: Extracting #7: cost 0 inf + 47571
1552122439.564 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1552122439.564 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))))))
1552122439.564 * * * * [progress]: [ 115 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1552122439.564 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552122439.564 * * [simplify]: iters left: 6 (15 enodes)
1552122439.569 * * [simplify]: iters left: 5 (60 enodes)
1552122439.579 * * [simplify]: iters left: 4 (111 enodes)
1552122439.599 * * [simplify]: iters left: 3 (294 enodes)
1552122439.737 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122439.737 * * [simplify]: Extracting #1: cost 16 inf + 0
1552122439.737 * * [simplify]: Extracting #2: cost 142 inf + 0
1552122439.739 * * [simplify]: Extracting #3: cost 317 inf + 187
1552122439.740 * * [simplify]: Extracting #4: cost 290 inf + 2919
1552122439.746 * * [simplify]: Extracting #5: cost 105 inf + 47243
1552122439.761 * * [simplify]: Extracting #6: cost 3 inf + 79409
1552122439.776 * * [simplify]: Extracting #7: cost 0 inf + 77357
1552122439.792 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1552122439.792 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))
1552122439.792 * * * * [progress]: [ 116 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552122439.792 * [simplify]: Simplifying (* 2 (* n PI))
1552122439.792 * * [simplify]: iters left: 4 (5 enodes)
1552122439.794 * * [simplify]: iters left: 3 (19 enodes)
1552122439.796 * * [simplify]: iters left: 2 (27 enodes)
1552122439.800 * * [simplify]: iters left: 1 (32 enodes)
1552122439.804 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122439.804 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122439.804 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122439.804 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122439.804 * [simplify]: Simplified to (* (* PI n) 2)
1552122439.804 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552122439.804 * * * * [progress]: [ 117 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552122439.804 * [simplify]: Simplifying (* 2 (* n PI))
1552122439.805 * * [simplify]: iters left: 4 (5 enodes)
1552122439.806 * * [simplify]: iters left: 3 (19 enodes)
1552122439.810 * * [simplify]: iters left: 2 (27 enodes)
1552122439.814 * * [simplify]: iters left: 1 (32 enodes)
1552122439.817 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122439.818 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122439.818 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122439.818 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122439.818 * [simplify]: Simplified to (* (* PI n) 2)
1552122439.818 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552122439.818 * * * * [progress]: [ 118 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1552122439.818 * [simplify]: Simplifying (* 2 (* n PI))
1552122439.818 * * [simplify]: iters left: 4 (5 enodes)
1552122439.820 * * [simplify]: iters left: 3 (19 enodes)
1552122439.822 * * [simplify]: iters left: 2 (27 enodes)
1552122439.827 * * [simplify]: iters left: 1 (32 enodes)
1552122439.834 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122439.834 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122439.834 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122439.834 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122439.835 * [simplify]: Simplified to (* (* PI n) 2)
1552122439.835 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1552122439.835 * * * * [progress]: [ 119 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1552122439.835 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552122439.835 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122439.836 * * * * [progress]: [ 120 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1552122439.836 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552122439.836 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122439.836 * * * * [progress]: [ 121 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1552122439.837 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552122439.837 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122439.837 * * * * [progress]: [ 122 / 124 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1552122439.837 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552122439.837 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122439.837 * * * * [progress]: [ 123 / 124 ] 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)))))))))>
1552122439.838 * [simplify]: Simplifying (- (+ (* +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))))))))
1552122439.838 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122439.838 * * * * [progress]: [ 124 / 124 ] 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))))))))))))>
1552122439.839 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552122439.839 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122439.839 * * * [progress]: adding candidates to table
1552122441.124 * * [progress]: iteration 3 / 4
1552122441.124 * * * [progress]: picking best candidate
1552122441.170 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122441.170 * * * [progress]: localizing error
1552122441.190 * * * [progress]: generating rewritten candidates
1552122441.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2)
1552122441.196 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1)
1552122441.201 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1552122441.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1552122441.227 * * * [progress]: generating series expansions
1552122441.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2)
1552122441.227 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552122441.227 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552122441.227 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122441.227 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122441.227 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122441.227 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.227 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.227 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.227 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.227 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.227 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.227 * [taylor]: Taking taylor expansion of k in k
1552122441.227 * [backup-simplify]: Simplify 0 into 0
1552122441.227 * [backup-simplify]: Simplify 1 into 1
1552122441.227 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122441.227 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122441.227 * [taylor]: Taking taylor expansion of 2 in k
1552122441.227 * [backup-simplify]: Simplify 2 into 2
1552122441.227 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122441.228 * [taylor]: Taking taylor expansion of n in k
1552122441.228 * [backup-simplify]: Simplify n into n
1552122441.228 * [taylor]: Taking taylor expansion of PI in k
1552122441.228 * [backup-simplify]: Simplify PI into PI
1552122441.228 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122441.228 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122441.228 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122441.229 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.229 * [backup-simplify]: Simplify (- 0) into 0
1552122441.229 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.230 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122441.230 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122441.230 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122441.230 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122441.230 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122441.230 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122441.230 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.230 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.230 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122441.230 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.230 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.230 * [taylor]: Taking taylor expansion of k in n
1552122441.230 * [backup-simplify]: Simplify k into k
1552122441.230 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.230 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.230 * [taylor]: Taking taylor expansion of 2 in n
1552122441.230 * [backup-simplify]: Simplify 2 into 2
1552122441.230 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.230 * [taylor]: Taking taylor expansion of n in n
1552122441.230 * [backup-simplify]: Simplify 0 into 0
1552122441.230 * [backup-simplify]: Simplify 1 into 1
1552122441.230 * [taylor]: Taking taylor expansion of PI in n
1552122441.230 * [backup-simplify]: Simplify PI into PI
1552122441.231 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.231 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.234 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.235 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.235 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122441.235 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122441.235 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122441.236 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.237 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122441.238 * [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)))))
1552122441.239 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122441.239 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122441.239 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122441.239 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122441.239 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.239 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.239 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122441.239 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.239 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.239 * [taylor]: Taking taylor expansion of k in n
1552122441.239 * [backup-simplify]: Simplify k into k
1552122441.239 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.239 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.239 * [taylor]: Taking taylor expansion of 2 in n
1552122441.239 * [backup-simplify]: Simplify 2 into 2
1552122441.239 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.239 * [taylor]: Taking taylor expansion of n in n
1552122441.239 * [backup-simplify]: Simplify 0 into 0
1552122441.239 * [backup-simplify]: Simplify 1 into 1
1552122441.239 * [taylor]: Taking taylor expansion of PI in n
1552122441.239 * [backup-simplify]: Simplify PI into PI
1552122441.240 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.240 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.243 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.244 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.244 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122441.244 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122441.244 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122441.245 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.246 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122441.248 * [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)))))
1552122441.248 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122441.248 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122441.248 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.248 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.248 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.248 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.248 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.248 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.248 * [taylor]: Taking taylor expansion of k in k
1552122441.248 * [backup-simplify]: Simplify 0 into 0
1552122441.248 * [backup-simplify]: Simplify 1 into 1
1552122441.248 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122441.248 * [taylor]: Taking taylor expansion of (log n) in k
1552122441.248 * [taylor]: Taking taylor expansion of n in k
1552122441.248 * [backup-simplify]: Simplify n into n
1552122441.248 * [backup-simplify]: Simplify (log n) into (log n)
1552122441.248 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122441.248 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122441.248 * [taylor]: Taking taylor expansion of 2 in k
1552122441.248 * [backup-simplify]: Simplify 2 into 2
1552122441.249 * [taylor]: Taking taylor expansion of PI in k
1552122441.249 * [backup-simplify]: Simplify PI into PI
1552122441.249 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.250 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.250 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.251 * [backup-simplify]: Simplify (- 0) into 0
1552122441.251 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.252 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.253 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122441.254 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122441.255 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122441.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.257 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122441.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122441.260 * [backup-simplify]: Simplify (- 0) into 0
1552122441.260 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.262 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.263 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122441.264 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122441.264 * [taylor]: Taking taylor expansion of 0 in k
1552122441.264 * [backup-simplify]: Simplify 0 into 0
1552122441.265 * [backup-simplify]: Simplify 0 into 0
1552122441.265 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122441.266 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122441.267 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.268 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.268 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122441.269 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.269 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122441.273 * [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)))))))
1552122441.275 * [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)))))))
1552122441.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.277 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122441.280 * [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
1552122441.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122441.281 * [backup-simplify]: Simplify (- 0) into 0
1552122441.281 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.284 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122441.286 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122441.286 * [taylor]: Taking taylor expansion of 0 in k
1552122441.286 * [backup-simplify]: Simplify 0 into 0
1552122441.286 * [backup-simplify]: Simplify 0 into 0
1552122441.286 * [backup-simplify]: Simplify 0 into 0
1552122441.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122441.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.291 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1552122441.291 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122441.292 * [backup-simplify]: Simplify (- 0) into 0
1552122441.293 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122441.298 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1552122441.308 * [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)))))
1552122441.317 * [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)))))
1552122441.317 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552122441.317 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552122441.317 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122441.317 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122441.317 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122441.317 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122441.317 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.317 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.317 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.317 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.317 * [taylor]: Taking taylor expansion of k in k
1552122441.317 * [backup-simplify]: Simplify 0 into 0
1552122441.317 * [backup-simplify]: Simplify 1 into 1
1552122441.318 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.318 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122441.318 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122441.318 * [taylor]: Taking taylor expansion of 2 in k
1552122441.318 * [backup-simplify]: Simplify 2 into 2
1552122441.318 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.318 * [taylor]: Taking taylor expansion of PI in k
1552122441.318 * [backup-simplify]: Simplify PI into PI
1552122441.318 * [taylor]: Taking taylor expansion of n in k
1552122441.318 * [backup-simplify]: Simplify n into n
1552122441.318 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.318 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122441.318 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122441.319 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.319 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.319 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.320 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122441.320 * [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))))
1552122441.320 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.320 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.320 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.320 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.320 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.320 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.320 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.320 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.320 * [taylor]: Taking taylor expansion of k in n
1552122441.320 * [backup-simplify]: Simplify k into k
1552122441.320 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.320 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.320 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.320 * [taylor]: Taking taylor expansion of 2 in n
1552122441.320 * [backup-simplify]: Simplify 2 into 2
1552122441.320 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.320 * [taylor]: Taking taylor expansion of PI in n
1552122441.320 * [backup-simplify]: Simplify PI into PI
1552122441.320 * [taylor]: Taking taylor expansion of n in n
1552122441.321 * [backup-simplify]: Simplify 0 into 0
1552122441.321 * [backup-simplify]: Simplify 1 into 1
1552122441.321 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.322 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.323 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.323 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.323 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.323 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.324 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.326 * [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)))
1552122441.327 * [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))))
1552122441.327 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.327 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.327 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.327 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.327 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.327 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.327 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.327 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.327 * [taylor]: Taking taylor expansion of k in n
1552122441.327 * [backup-simplify]: Simplify k into k
1552122441.327 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.327 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.327 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.327 * [taylor]: Taking taylor expansion of 2 in n
1552122441.327 * [backup-simplify]: Simplify 2 into 2
1552122441.327 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.327 * [taylor]: Taking taylor expansion of PI in n
1552122441.327 * [backup-simplify]: Simplify PI into PI
1552122441.327 * [taylor]: Taking taylor expansion of n in n
1552122441.327 * [backup-simplify]: Simplify 0 into 0
1552122441.328 * [backup-simplify]: Simplify 1 into 1
1552122441.328 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.328 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.329 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.329 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.330 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.330 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.332 * [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)))
1552122441.333 * [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))))
1552122441.333 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122441.333 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122441.333 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122441.333 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.334 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.334 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.334 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.334 * [taylor]: Taking taylor expansion of k in k
1552122441.334 * [backup-simplify]: Simplify 0 into 0
1552122441.334 * [backup-simplify]: Simplify 1 into 1
1552122441.334 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.334 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122441.334 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122441.334 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122441.334 * [taylor]: Taking taylor expansion of 2 in k
1552122441.334 * [backup-simplify]: Simplify 2 into 2
1552122441.334 * [taylor]: Taking taylor expansion of PI in k
1552122441.334 * [backup-simplify]: Simplify PI into PI
1552122441.335 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.336 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.336 * [taylor]: Taking taylor expansion of (log n) in k
1552122441.336 * [taylor]: Taking taylor expansion of n in k
1552122441.336 * [backup-simplify]: Simplify n into n
1552122441.336 * [backup-simplify]: Simplify (log n) into (log n)
1552122441.336 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.337 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.337 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.337 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122441.338 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122441.339 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122441.340 * [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))))
1552122441.341 * [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))))
1552122441.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.343 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122441.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122441.345 * [backup-simplify]: Simplify (- 0) into 0
1552122441.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.348 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122441.350 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122441.350 * [taylor]: Taking taylor expansion of 0 in k
1552122441.350 * [backup-simplify]: Simplify 0 into 0
1552122441.350 * [backup-simplify]: Simplify 0 into 0
1552122441.350 * [backup-simplify]: Simplify 0 into 0
1552122441.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.352 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.355 * [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
1552122441.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122441.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122441.357 * [backup-simplify]: Simplify (- 0) into 0
1552122441.358 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.360 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122441.363 * [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
1552122441.363 * [taylor]: Taking taylor expansion of 0 in k
1552122441.363 * [backup-simplify]: Simplify 0 into 0
1552122441.363 * [backup-simplify]: Simplify 0 into 0
1552122441.363 * [backup-simplify]: Simplify 0 into 0
1552122441.363 * [backup-simplify]: Simplify 0 into 0
1552122441.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.365 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.371 * [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
1552122441.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122441.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122441.373 * [backup-simplify]: Simplify (- 0) into 0
1552122441.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.376 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122441.379 * [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
1552122441.379 * [taylor]: Taking taylor expansion of 0 in k
1552122441.379 * [backup-simplify]: Simplify 0 into 0
1552122441.379 * [backup-simplify]: Simplify 0 into 0
1552122441.380 * [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)))))
1552122441.381 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552122441.381 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552122441.381 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122441.381 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122441.381 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122441.381 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122441.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.381 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.381 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.381 * [taylor]: Taking taylor expansion of k in k
1552122441.381 * [backup-simplify]: Simplify 0 into 0
1552122441.381 * [backup-simplify]: Simplify 1 into 1
1552122441.382 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.382 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.382 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.382 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122441.382 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122441.382 * [taylor]: Taking taylor expansion of -2 in k
1552122441.382 * [backup-simplify]: Simplify -2 into -2
1552122441.382 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.382 * [taylor]: Taking taylor expansion of PI in k
1552122441.382 * [backup-simplify]: Simplify PI into PI
1552122441.382 * [taylor]: Taking taylor expansion of n in k
1552122441.382 * [backup-simplify]: Simplify n into n
1552122441.382 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.382 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122441.382 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122441.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.383 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.383 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122441.383 * [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)))
1552122441.383 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.383 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122441.384 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122441.384 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.384 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.384 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.384 * [taylor]: Taking taylor expansion of k in n
1552122441.384 * [backup-simplify]: Simplify k into k
1552122441.384 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.384 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.384 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.384 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.384 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.384 * [taylor]: Taking taylor expansion of -2 in n
1552122441.384 * [backup-simplify]: Simplify -2 into -2
1552122441.384 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.384 * [taylor]: Taking taylor expansion of PI in n
1552122441.384 * [backup-simplify]: Simplify PI into PI
1552122441.384 * [taylor]: Taking taylor expansion of n in n
1552122441.384 * [backup-simplify]: Simplify 0 into 0
1552122441.384 * [backup-simplify]: Simplify 1 into 1
1552122441.384 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.385 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.386 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.386 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.388 * [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)))
1552122441.389 * [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))))
1552122441.389 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.389 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122441.389 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122441.389 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.389 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.390 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.390 * [taylor]: Taking taylor expansion of k in n
1552122441.390 * [backup-simplify]: Simplify k into k
1552122441.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.390 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.390 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.390 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.390 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.390 * [taylor]: Taking taylor expansion of -2 in n
1552122441.390 * [backup-simplify]: Simplify -2 into -2
1552122441.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.390 * [taylor]: Taking taylor expansion of PI in n
1552122441.390 * [backup-simplify]: Simplify PI into PI
1552122441.390 * [taylor]: Taking taylor expansion of n in n
1552122441.390 * [backup-simplify]: Simplify 0 into 0
1552122441.390 * [backup-simplify]: Simplify 1 into 1
1552122441.390 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.391 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.392 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.392 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.393 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.394 * [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)))
1552122441.395 * [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))))
1552122441.395 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122441.395 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122441.395 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122441.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.395 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.396 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.396 * [taylor]: Taking taylor expansion of k in k
1552122441.396 * [backup-simplify]: Simplify 0 into 0
1552122441.396 * [backup-simplify]: Simplify 1 into 1
1552122441.396 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.396 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.396 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.396 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122441.396 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122441.396 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122441.396 * [taylor]: Taking taylor expansion of -2 in k
1552122441.396 * [backup-simplify]: Simplify -2 into -2
1552122441.396 * [taylor]: Taking taylor expansion of PI in k
1552122441.396 * [backup-simplify]: Simplify PI into PI
1552122441.397 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.398 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.398 * [taylor]: Taking taylor expansion of (log n) in k
1552122441.398 * [taylor]: Taking taylor expansion of n in k
1552122441.398 * [backup-simplify]: Simplify n into n
1552122441.398 * [backup-simplify]: Simplify (log n) into (log n)
1552122441.398 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.399 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122441.400 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122441.400 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122441.402 * [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))))
1552122441.403 * [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))))
1552122441.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.404 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122441.406 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122441.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122441.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.410 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122441.412 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122441.412 * [taylor]: Taking taylor expansion of 0 in k
1552122441.412 * [backup-simplify]: Simplify 0 into 0
1552122441.412 * [backup-simplify]: Simplify 0 into 0
1552122441.412 * [backup-simplify]: Simplify 0 into 0
1552122441.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.414 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.418 * [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
1552122441.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122441.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122441.419 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.422 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122441.424 * [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
1552122441.424 * [taylor]: Taking taylor expansion of 0 in k
1552122441.424 * [backup-simplify]: Simplify 0 into 0
1552122441.424 * [backup-simplify]: Simplify 0 into 0
1552122441.424 * [backup-simplify]: Simplify 0 into 0
1552122441.424 * [backup-simplify]: Simplify 0 into 0
1552122441.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.427 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.432 * [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
1552122441.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122441.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122441.434 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.436 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.437 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552122441.440 * [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
1552122441.440 * [taylor]: Taking taylor expansion of 0 in k
1552122441.440 * [backup-simplify]: Simplify 0 into 0
1552122441.440 * [backup-simplify]: Simplify 0 into 0
1552122441.441 * [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)))))
1552122441.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1)
1552122441.441 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1552122441.441 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552122441.441 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.441 * [taylor]: Taking taylor expansion of 2 in n
1552122441.441 * [backup-simplify]: Simplify 2 into 2
1552122441.441 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.441 * [taylor]: Taking taylor expansion of n in n
1552122441.442 * [backup-simplify]: Simplify 0 into 0
1552122441.442 * [backup-simplify]: Simplify 1 into 1
1552122441.442 * [taylor]: Taking taylor expansion of PI in n
1552122441.442 * [backup-simplify]: Simplify PI into PI
1552122441.442 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.442 * [taylor]: Taking taylor expansion of 2 in n
1552122441.442 * [backup-simplify]: Simplify 2 into 2
1552122441.442 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.442 * [taylor]: Taking taylor expansion of n in n
1552122441.442 * [backup-simplify]: Simplify 0 into 0
1552122441.442 * [backup-simplify]: Simplify 1 into 1
1552122441.442 * [taylor]: Taking taylor expansion of PI in n
1552122441.442 * [backup-simplify]: Simplify PI into PI
1552122441.442 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.443 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.443 * [backup-simplify]: Simplify 0 into 0
1552122441.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.449 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.450 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.452 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122441.452 * [backup-simplify]: Simplify 0 into 0
1552122441.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.454 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122441.454 * [backup-simplify]: Simplify 0 into 0
1552122441.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122441.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122441.456 * [backup-simplify]: Simplify 0 into 0
1552122441.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122441.459 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552122441.459 * [backup-simplify]: Simplify 0 into 0
1552122441.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122441.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552122441.462 * [backup-simplify]: Simplify 0 into 0
1552122441.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552122441.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552122441.465 * [backup-simplify]: Simplify 0 into 0
1552122441.466 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552122441.466 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1552122441.466 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552122441.466 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.466 * [taylor]: Taking taylor expansion of 2 in n
1552122441.466 * [backup-simplify]: Simplify 2 into 2
1552122441.466 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.466 * [taylor]: Taking taylor expansion of PI in n
1552122441.466 * [backup-simplify]: Simplify PI into PI
1552122441.466 * [taylor]: Taking taylor expansion of n in n
1552122441.466 * [backup-simplify]: Simplify 0 into 0
1552122441.466 * [backup-simplify]: Simplify 1 into 1
1552122441.466 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.466 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.466 * [taylor]: Taking taylor expansion of 2 in n
1552122441.466 * [backup-simplify]: Simplify 2 into 2
1552122441.466 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.466 * [taylor]: Taking taylor expansion of PI in n
1552122441.466 * [backup-simplify]: Simplify PI into PI
1552122441.466 * [taylor]: Taking taylor expansion of n in n
1552122441.466 * [backup-simplify]: Simplify 0 into 0
1552122441.467 * [backup-simplify]: Simplify 1 into 1
1552122441.467 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.467 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.467 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.468 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122441.468 * [backup-simplify]: Simplify 0 into 0
1552122441.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.469 * [backup-simplify]: Simplify 0 into 0
1552122441.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.471 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.471 * [backup-simplify]: Simplify 0 into 0
1552122441.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.472 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122441.472 * [backup-simplify]: Simplify 0 into 0
1552122441.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.473 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122441.473 * [backup-simplify]: Simplify 0 into 0
1552122441.474 * [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
1552122441.475 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122441.475 * [backup-simplify]: Simplify 0 into 0
1552122441.475 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552122441.475 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1552122441.475 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552122441.475 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.475 * [taylor]: Taking taylor expansion of -2 in n
1552122441.475 * [backup-simplify]: Simplify -2 into -2
1552122441.475 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.475 * [taylor]: Taking taylor expansion of PI in n
1552122441.475 * [backup-simplify]: Simplify PI into PI
1552122441.475 * [taylor]: Taking taylor expansion of n in n
1552122441.476 * [backup-simplify]: Simplify 0 into 0
1552122441.476 * [backup-simplify]: Simplify 1 into 1
1552122441.476 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.476 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.476 * [taylor]: Taking taylor expansion of -2 in n
1552122441.476 * [backup-simplify]: Simplify -2 into -2
1552122441.476 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.476 * [taylor]: Taking taylor expansion of PI in n
1552122441.476 * [backup-simplify]: Simplify PI into PI
1552122441.476 * [taylor]: Taking taylor expansion of n in n
1552122441.476 * [backup-simplify]: Simplify 0 into 0
1552122441.476 * [backup-simplify]: Simplify 1 into 1
1552122441.476 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.477 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.477 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.478 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122441.478 * [backup-simplify]: Simplify 0 into 0
1552122441.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.479 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.479 * [backup-simplify]: Simplify 0 into 0
1552122441.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.480 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.480 * [backup-simplify]: Simplify 0 into 0
1552122441.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.482 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122441.482 * [backup-simplify]: Simplify 0 into 0
1552122441.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.483 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122441.483 * [backup-simplify]: Simplify 0 into 0
1552122441.484 * [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
1552122441.485 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122441.485 * [backup-simplify]: Simplify 0 into 0
1552122441.485 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552122441.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1552122441.485 * [backup-simplify]: Simplify (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122441.485 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1552122441.485 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1552122441.485 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122441.485 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122441.485 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122441.485 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122441.485 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122441.485 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.485 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.485 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122441.485 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.485 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.485 * [taylor]: Taking taylor expansion of k in n
1552122441.485 * [backup-simplify]: Simplify k into k
1552122441.486 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.486 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.486 * [taylor]: Taking taylor expansion of 2 in n
1552122441.486 * [backup-simplify]: Simplify 2 into 2
1552122441.486 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.486 * [taylor]: Taking taylor expansion of n in n
1552122441.486 * [backup-simplify]: Simplify 0 into 0
1552122441.486 * [backup-simplify]: Simplify 1 into 1
1552122441.486 * [taylor]: Taking taylor expansion of PI in n
1552122441.486 * [backup-simplify]: Simplify PI into PI
1552122441.486 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.486 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.488 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.489 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.489 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122441.489 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122441.489 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122441.490 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.490 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122441.491 * [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)))))
1552122441.492 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))
1552122441.492 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122441.492 * [taylor]: Taking taylor expansion of k in n
1552122441.492 * [backup-simplify]: Simplify k into k
1552122441.492 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122441.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122441.492 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552122441.492 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122441.492 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122441.492 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122441.492 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122441.492 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.492 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.492 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.492 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.492 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.492 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.492 * [taylor]: Taking taylor expansion of k in k
1552122441.492 * [backup-simplify]: Simplify 0 into 0
1552122441.492 * [backup-simplify]: Simplify 1 into 1
1552122441.492 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122441.492 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122441.492 * [taylor]: Taking taylor expansion of 2 in k
1552122441.492 * [backup-simplify]: Simplify 2 into 2
1552122441.492 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122441.492 * [taylor]: Taking taylor expansion of n in k
1552122441.492 * [backup-simplify]: Simplify n into n
1552122441.492 * [taylor]: Taking taylor expansion of PI in k
1552122441.492 * [backup-simplify]: Simplify PI into PI
1552122441.492 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122441.492 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122441.492 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122441.493 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.493 * [backup-simplify]: Simplify (- 0) into 0
1552122441.493 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.493 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122441.494 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122441.494 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552122441.494 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122441.494 * [taylor]: Taking taylor expansion of k in k
1552122441.494 * [backup-simplify]: Simplify 0 into 0
1552122441.494 * [backup-simplify]: Simplify 1 into 1
1552122441.494 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.496 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1552122441.496 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122441.496 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122441.496 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122441.496 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122441.496 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.496 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.496 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.496 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.496 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.496 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.496 * [taylor]: Taking taylor expansion of k in k
1552122441.496 * [backup-simplify]: Simplify 0 into 0
1552122441.496 * [backup-simplify]: Simplify 1 into 1
1552122441.496 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122441.496 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122441.496 * [taylor]: Taking taylor expansion of 2 in k
1552122441.496 * [backup-simplify]: Simplify 2 into 2
1552122441.496 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122441.496 * [taylor]: Taking taylor expansion of n in k
1552122441.496 * [backup-simplify]: Simplify n into n
1552122441.496 * [taylor]: Taking taylor expansion of PI in k
1552122441.496 * [backup-simplify]: Simplify PI into PI
1552122441.496 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122441.496 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122441.497 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122441.497 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.497 * [backup-simplify]: Simplify (- 0) into 0
1552122441.498 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.498 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122441.498 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122441.498 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1552122441.498 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122441.498 * [taylor]: Taking taylor expansion of k in k
1552122441.498 * [backup-simplify]: Simplify 0 into 0
1552122441.498 * [backup-simplify]: Simplify 1 into 1
1552122441.499 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.500 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1552122441.500 * [taylor]: Taking taylor expansion of 0 in n
1552122441.500 * [backup-simplify]: Simplify 0 into 0
1552122441.500 * [backup-simplify]: Simplify 0 into 0
1552122441.501 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552122441.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552122441.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552122441.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122441.503 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.504 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552122441.504 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552122441.505 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))
1552122441.507 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))
1552122441.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552122441.507 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552122441.507 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.507 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.507 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552122441.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122441.507 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122441.507 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.507 * [taylor]: Taking taylor expansion of n in n
1552122441.507 * [backup-simplify]: Simplify 0 into 0
1552122441.507 * [backup-simplify]: Simplify 1 into 1
1552122441.507 * [taylor]: Taking taylor expansion of PI in n
1552122441.507 * [backup-simplify]: Simplify PI into PI
1552122441.508 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.509 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.510 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122441.510 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.512 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122441.512 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122441.512 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.512 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.513 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122441.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122441.516 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.517 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552122441.522 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.526 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.528 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.528 * [backup-simplify]: Simplify 0 into 0
1552122441.531 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122441.532 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552122441.534 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552122441.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122441.536 * [backup-simplify]: Simplify (- 0) into 0
1552122441.536 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552122441.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552122441.541 * [backup-simplify]: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))))
1552122441.546 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))))
1552122441.547 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n
1552122441.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n
1552122441.547 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1552122441.547 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.547 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.547 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1552122441.547 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1552122441.547 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.547 * [taylor]: Taking taylor expansion of 2 in n
1552122441.547 * [backup-simplify]: Simplify 2 into 2
1552122441.547 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.548 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1552122441.548 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.548 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.548 * [taylor]: Taking taylor expansion of 2 in n
1552122441.548 * [backup-simplify]: Simplify 2 into 2
1552122441.548 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.548 * [taylor]: Taking taylor expansion of n in n
1552122441.548 * [backup-simplify]: Simplify 0 into 0
1552122441.548 * [backup-simplify]: Simplify 1 into 1
1552122441.548 * [taylor]: Taking taylor expansion of PI in n
1552122441.548 * [backup-simplify]: Simplify PI into PI
1552122441.549 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.549 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.551 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.552 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.553 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.553 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1552122441.553 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122441.553 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.553 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.553 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122441.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122441.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122441.554 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122441.554 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.554 * [taylor]: Taking taylor expansion of n in n
1552122441.554 * [backup-simplify]: Simplify 0 into 0
1552122441.554 * [backup-simplify]: Simplify 1 into 1
1552122441.554 * [taylor]: Taking taylor expansion of PI in n
1552122441.554 * [backup-simplify]: Simplify PI into PI
1552122441.555 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.557 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122441.557 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.559 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122441.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1552122441.559 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1552122441.559 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.559 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.559 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1552122441.559 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1552122441.559 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1552122441.559 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.559 * [taylor]: Taking taylor expansion of n in n
1552122441.559 * [backup-simplify]: Simplify 0 into 0
1552122441.559 * [backup-simplify]: Simplify 1 into 1
1552122441.559 * [taylor]: Taking taylor expansion of PI in n
1552122441.559 * [backup-simplify]: Simplify PI into PI
1552122441.560 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.562 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1552122441.562 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.564 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1552122441.564 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1552122441.564 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.564 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.564 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1552122441.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1552122441.572 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.574 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1552122441.576 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1552122441.578 * [backup-simplify]: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))
1552122441.579 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.580 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1552122441.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.582 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122441.583 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.585 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1552122441.588 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1552122441.591 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552122441.594 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1552122441.605 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))
1552122441.607 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.607 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1552122441.610 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.612 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1552122441.620 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122441.630 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122441.646 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))
1552122441.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1552122441.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1552122441.653 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1552122441.659 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122441.668 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122441.673 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122441.675 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1552122441.694 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552122441.694 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k)))
1552122441.694 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1552122441.694 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1552122441.694 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122441.694 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.694 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.694 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.694 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.694 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.694 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.694 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.694 * [taylor]: Taking taylor expansion of k in n
1552122441.694 * [backup-simplify]: Simplify k into k
1552122441.695 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.695 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.695 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.695 * [taylor]: Taking taylor expansion of 2 in n
1552122441.695 * [backup-simplify]: Simplify 2 into 2
1552122441.695 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.695 * [taylor]: Taking taylor expansion of PI in n
1552122441.695 * [backup-simplify]: Simplify PI into PI
1552122441.695 * [taylor]: Taking taylor expansion of n in n
1552122441.695 * [backup-simplify]: Simplify 0 into 0
1552122441.695 * [backup-simplify]: Simplify 1 into 1
1552122441.695 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.695 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.696 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.696 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.696 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.697 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.698 * [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)))
1552122441.698 * [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))))
1552122441.699 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122441.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.699 * [taylor]: Taking taylor expansion of k in n
1552122441.699 * [backup-simplify]: Simplify k into k
1552122441.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.699 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122441.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122441.699 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552122441.699 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122441.699 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122441.699 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122441.699 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122441.699 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122441.699 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.699 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.699 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.699 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.699 * [taylor]: Taking taylor expansion of k in k
1552122441.699 * [backup-simplify]: Simplify 0 into 0
1552122441.699 * [backup-simplify]: Simplify 1 into 1
1552122441.700 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.700 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122441.700 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122441.700 * [taylor]: Taking taylor expansion of 2 in k
1552122441.700 * [backup-simplify]: Simplify 2 into 2
1552122441.700 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.700 * [taylor]: Taking taylor expansion of PI in k
1552122441.700 * [backup-simplify]: Simplify PI into PI
1552122441.700 * [taylor]: Taking taylor expansion of n in k
1552122441.700 * [backup-simplify]: Simplify n into n
1552122441.700 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.700 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122441.700 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122441.700 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.700 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.701 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.701 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122441.701 * [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))))
1552122441.701 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122441.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122441.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.701 * [taylor]: Taking taylor expansion of k in k
1552122441.701 * [backup-simplify]: Simplify 0 into 0
1552122441.701 * [backup-simplify]: Simplify 1 into 1
1552122441.702 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.702 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.703 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1552122441.703 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122441.703 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122441.703 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122441.703 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122441.703 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122441.704 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.704 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.704 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.704 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.704 * [taylor]: Taking taylor expansion of k in k
1552122441.704 * [backup-simplify]: Simplify 0 into 0
1552122441.704 * [backup-simplify]: Simplify 1 into 1
1552122441.704 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.704 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122441.704 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122441.704 * [taylor]: Taking taylor expansion of 2 in k
1552122441.704 * [backup-simplify]: Simplify 2 into 2
1552122441.704 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.704 * [taylor]: Taking taylor expansion of PI in k
1552122441.704 * [backup-simplify]: Simplify PI into PI
1552122441.704 * [taylor]: Taking taylor expansion of n in k
1552122441.704 * [backup-simplify]: Simplify n into n
1552122441.704 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.705 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122441.705 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122441.705 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.705 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.706 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.706 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122441.706 * [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))))
1552122441.706 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122441.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122441.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.706 * [taylor]: Taking taylor expansion of k in k
1552122441.707 * [backup-simplify]: Simplify 0 into 0
1552122441.707 * [backup-simplify]: Simplify 1 into 1
1552122441.707 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.707 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.709 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.709 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1552122441.709 * [taylor]: Taking taylor expansion of 0 in n
1552122441.709 * [backup-simplify]: Simplify 0 into 0
1552122441.709 * [backup-simplify]: Simplify 0 into 0
1552122441.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122441.710 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122441.710 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122441.710 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.710 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.710 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.710 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.710 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.710 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.710 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.710 * [taylor]: Taking taylor expansion of k in n
1552122441.710 * [backup-simplify]: Simplify k into k
1552122441.710 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.710 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.710 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.711 * [taylor]: Taking taylor expansion of 2 in n
1552122441.711 * [backup-simplify]: Simplify 2 into 2
1552122441.711 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.711 * [taylor]: Taking taylor expansion of PI in n
1552122441.711 * [backup-simplify]: Simplify PI into PI
1552122441.711 * [taylor]: Taking taylor expansion of n in n
1552122441.711 * [backup-simplify]: Simplify 0 into 0
1552122441.711 * [backup-simplify]: Simplify 1 into 1
1552122441.711 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.712 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.713 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.713 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.713 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.713 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.715 * [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)))
1552122441.716 * [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))))
1552122441.717 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.718 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.719 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.719 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.719 * [backup-simplify]: Simplify 0 into 0
1552122441.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122441.722 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122441.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122441.722 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122441.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122441.722 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122441.722 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.722 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.722 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122441.722 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.722 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.723 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.723 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.723 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.723 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.723 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.723 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.723 * [taylor]: Taking taylor expansion of k in n
1552122441.723 * [backup-simplify]: Simplify k into k
1552122441.723 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.723 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.723 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.723 * [taylor]: Taking taylor expansion of 2 in n
1552122441.723 * [backup-simplify]: Simplify 2 into 2
1552122441.723 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.723 * [taylor]: Taking taylor expansion of PI in n
1552122441.723 * [backup-simplify]: Simplify PI into PI
1552122441.723 * [taylor]: Taking taylor expansion of n in n
1552122441.723 * [backup-simplify]: Simplify 0 into 0
1552122441.723 * [backup-simplify]: Simplify 1 into 1
1552122441.723 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.724 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.724 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.724 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.726 * [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)))
1552122441.726 * [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))))
1552122441.727 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.728 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.728 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.729 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.730 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122441.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122441.732 * [backup-simplify]: Simplify (- 0) into 0
1552122441.732 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.734 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122441.735 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122441.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1552122441.737 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552122441.737 * [backup-simplify]: Simplify (- 0) into 0
1552122441.737 * [backup-simplify]: Simplify 0 into 0
1552122441.737 * [backup-simplify]: Simplify 0 into 0
1552122441.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122441.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0
1552122441.741 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))
1552122441.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122441.741 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.741 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.741 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.741 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.741 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.741 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.741 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.741 * [taylor]: Taking taylor expansion of k in n
1552122441.741 * [backup-simplify]: Simplify k into k
1552122441.741 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.741 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.741 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.741 * [taylor]: Taking taylor expansion of 2 in n
1552122441.741 * [backup-simplify]: Simplify 2 into 2
1552122441.741 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.741 * [taylor]: Taking taylor expansion of PI in n
1552122441.741 * [backup-simplify]: Simplify PI into PI
1552122441.741 * [taylor]: Taking taylor expansion of n in n
1552122441.741 * [backup-simplify]: Simplify 0 into 0
1552122441.741 * [backup-simplify]: Simplify 1 into 1
1552122441.742 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.742 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.743 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.743 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.743 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.743 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.744 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122441.744 * [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)))
1552122441.745 * [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))))
1552122441.746 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.747 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1552122441.748 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.749 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))
1552122441.753 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552122441.753 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- k))) (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1552122441.753 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1552122441.753 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122441.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122441.753 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122441.753 * [taylor]: Taking taylor expansion of -1 in n
1552122441.753 * [backup-simplify]: Simplify -1 into -1
1552122441.753 * [taylor]: Taking taylor expansion of k in n
1552122441.753 * [backup-simplify]: Simplify k into k
1552122441.753 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122441.753 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122441.754 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122441.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122441.754 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.754 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122441.754 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122441.754 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.754 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.754 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.754 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.754 * [taylor]: Taking taylor expansion of k in n
1552122441.754 * [backup-simplify]: Simplify k into k
1552122441.754 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.754 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.754 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.754 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.754 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.754 * [taylor]: Taking taylor expansion of -2 in n
1552122441.754 * [backup-simplify]: Simplify -2 into -2
1552122441.754 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.754 * [taylor]: Taking taylor expansion of PI in n
1552122441.754 * [backup-simplify]: Simplify PI into PI
1552122441.754 * [taylor]: Taking taylor expansion of n in n
1552122441.754 * [backup-simplify]: Simplify 0 into 0
1552122441.754 * [backup-simplify]: Simplify 1 into 1
1552122441.754 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.755 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.755 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.755 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.755 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.757 * [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)))
1552122441.757 * [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))))
1552122441.758 * [backup-simplify]: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.758 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552122441.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122441.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122441.758 * [taylor]: Taking taylor expansion of -1 in k
1552122441.758 * [backup-simplify]: Simplify -1 into -1
1552122441.758 * [taylor]: Taking taylor expansion of k in k
1552122441.758 * [backup-simplify]: Simplify 0 into 0
1552122441.758 * [backup-simplify]: Simplify 1 into 1
1552122441.758 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122441.759 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.760 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122441.760 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122441.760 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122441.760 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122441.760 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122441.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.760 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.760 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.760 * [taylor]: Taking taylor expansion of k in k
1552122441.760 * [backup-simplify]: Simplify 0 into 0
1552122441.760 * [backup-simplify]: Simplify 1 into 1
1552122441.760 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.760 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.760 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.760 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122441.760 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122441.760 * [taylor]: Taking taylor expansion of -2 in k
1552122441.760 * [backup-simplify]: Simplify -2 into -2
1552122441.760 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.760 * [taylor]: Taking taylor expansion of PI in k
1552122441.760 * [backup-simplify]: Simplify PI into PI
1552122441.760 * [taylor]: Taking taylor expansion of n in k
1552122441.760 * [backup-simplify]: Simplify n into n
1552122441.760 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.760 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122441.760 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122441.761 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.761 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.761 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122441.761 * [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)))
1552122441.761 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552122441.761 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1552122441.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122441.761 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122441.761 * [taylor]: Taking taylor expansion of -1 in k
1552122441.761 * [backup-simplify]: Simplify -1 into -1
1552122441.761 * [taylor]: Taking taylor expansion of k in k
1552122441.761 * [backup-simplify]: Simplify 0 into 0
1552122441.761 * [backup-simplify]: Simplify 1 into 1
1552122441.762 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122441.762 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122441.763 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122441.763 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122441.763 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122441.763 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122441.763 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122441.763 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.763 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.763 * [taylor]: Taking taylor expansion of k in k
1552122441.763 * [backup-simplify]: Simplify 0 into 0
1552122441.763 * [backup-simplify]: Simplify 1 into 1
1552122441.763 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.763 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.763 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.763 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122441.763 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122441.763 * [taylor]: Taking taylor expansion of -2 in k
1552122441.763 * [backup-simplify]: Simplify -2 into -2
1552122441.763 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122441.763 * [taylor]: Taking taylor expansion of PI in k
1552122441.763 * [backup-simplify]: Simplify PI into PI
1552122441.763 * [taylor]: Taking taylor expansion of n in k
1552122441.763 * [backup-simplify]: Simplify n into n
1552122441.763 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122441.763 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122441.763 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122441.764 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122441.764 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.764 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122441.764 * [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)))
1552122441.764 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1552122441.764 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122441.764 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.764 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.764 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122441.764 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.764 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.764 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.764 * [taylor]: Taking taylor expansion of -2 in n
1552122441.764 * [backup-simplify]: Simplify -2 into -2
1552122441.764 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.764 * [taylor]: Taking taylor expansion of PI in n
1552122441.764 * [backup-simplify]: Simplify PI into PI
1552122441.764 * [taylor]: Taking taylor expansion of n in n
1552122441.765 * [backup-simplify]: Simplify 0 into 0
1552122441.765 * [backup-simplify]: Simplify 1 into 1
1552122441.765 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.765 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.766 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.766 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.766 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.766 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.766 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.766 * [taylor]: Taking taylor expansion of k in n
1552122441.766 * [backup-simplify]: Simplify k into k
1552122441.766 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.766 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.766 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.767 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.767 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.767 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122441.768 * [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))))
1552122441.769 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.769 * [backup-simplify]: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122441.772 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122441.772 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552122441.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552122441.772 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122441.772 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.772 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.772 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122441.772 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122441.772 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.772 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.772 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.772 * [taylor]: Taking taylor expansion of -2 in n
1552122441.772 * [backup-simplify]: Simplify -2 into -2
1552122441.772 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.772 * [taylor]: Taking taylor expansion of PI in n
1552122441.772 * [backup-simplify]: Simplify PI into PI
1552122441.772 * [taylor]: Taking taylor expansion of n in n
1552122441.772 * [backup-simplify]: Simplify 0 into 0
1552122441.772 * [backup-simplify]: Simplify 1 into 1
1552122441.773 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.773 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.773 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.773 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.773 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.773 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.774 * [taylor]: Taking taylor expansion of k in n
1552122441.774 * [backup-simplify]: Simplify k into k
1552122441.774 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.774 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.774 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.774 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.775 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.775 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122441.776 * [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))))
1552122441.776 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.783 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.784 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122441.786 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122441.787 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122441.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122441.790 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122441.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122441.793 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552122441.795 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122441.799 * [backup-simplify]: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1552122441.799 * [backup-simplify]: Simplify 0 into 0
1552122441.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122441.807 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))
1552122441.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1552122441.807 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122441.807 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.807 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.807 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122441.807 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122441.807 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122441.807 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122441.808 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122441.808 * [taylor]: Taking taylor expansion of -2 in n
1552122441.808 * [backup-simplify]: Simplify -2 into -2
1552122441.808 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.808 * [taylor]: Taking taylor expansion of PI in n
1552122441.808 * [backup-simplify]: Simplify PI into PI
1552122441.808 * [taylor]: Taking taylor expansion of n in n
1552122441.808 * [backup-simplify]: Simplify 0 into 0
1552122441.808 * [backup-simplify]: Simplify 1 into 1
1552122441.808 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.809 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122441.810 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122441.810 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122441.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.810 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.810 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.810 * [taylor]: Taking taylor expansion of k in n
1552122441.810 * [backup-simplify]: Simplify k into k
1552122441.810 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.810 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.810 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.812 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122441.812 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.812 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122441.813 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122441.814 * [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))))
1552122441.815 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.816 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
1552122441.818 * [backup-simplify]: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122441.819 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))
1552122441.822 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552122441.822 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1552122441.822 * [backup-simplify]: Simplify (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1552122441.822 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1552122441.822 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122441.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122441.822 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.822 * [taylor]: Taking taylor expansion of k in n
1552122441.822 * [backup-simplify]: Simplify k into k
1552122441.822 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.823 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122441.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122441.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122441.823 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122441.823 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122441.823 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122441.823 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122441.823 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.823 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.823 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122441.823 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.823 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.823 * [taylor]: Taking taylor expansion of k in n
1552122441.823 * [backup-simplify]: Simplify k into k
1552122441.823 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.823 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.823 * [taylor]: Taking taylor expansion of 2 in n
1552122441.823 * [backup-simplify]: Simplify 2 into 2
1552122441.823 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.823 * [taylor]: Taking taylor expansion of n in n
1552122441.823 * [backup-simplify]: Simplify 0 into 0
1552122441.823 * [backup-simplify]: Simplify 1 into 1
1552122441.823 * [taylor]: Taking taylor expansion of PI in n
1552122441.823 * [backup-simplify]: Simplify PI into PI
1552122441.823 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.824 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.825 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.826 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.826 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122441.826 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122441.826 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122441.827 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.828 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122441.828 * [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)))))
1552122441.828 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122441.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122441.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.828 * [taylor]: Taking taylor expansion of k in k
1552122441.828 * [backup-simplify]: Simplify 0 into 0
1552122441.828 * [backup-simplify]: Simplify 1 into 1
1552122441.829 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.829 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.830 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.830 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122441.830 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122441.830 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122441.830 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.830 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.830 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.830 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.830 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.830 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.830 * [taylor]: Taking taylor expansion of k in k
1552122441.830 * [backup-simplify]: Simplify 0 into 0
1552122441.830 * [backup-simplify]: Simplify 1 into 1
1552122441.830 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122441.830 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122441.830 * [taylor]: Taking taylor expansion of 2 in k
1552122441.830 * [backup-simplify]: Simplify 2 into 2
1552122441.830 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122441.830 * [taylor]: Taking taylor expansion of n in k
1552122441.830 * [backup-simplify]: Simplify n into n
1552122441.830 * [taylor]: Taking taylor expansion of PI in k
1552122441.830 * [backup-simplify]: Simplify PI into PI
1552122441.830 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122441.830 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122441.830 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122441.830 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.831 * [backup-simplify]: Simplify (- 0) into 0
1552122441.831 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.831 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122441.831 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122441.831 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122441.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122441.831 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122441.831 * [taylor]: Taking taylor expansion of k in k
1552122441.831 * [backup-simplify]: Simplify 0 into 0
1552122441.831 * [backup-simplify]: Simplify 1 into 1
1552122441.831 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122441.832 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.832 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122441.833 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122441.833 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122441.833 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122441.833 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122441.833 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.833 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.833 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122441.833 * [taylor]: Taking taylor expansion of 1/2 in k
1552122441.833 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.833 * [taylor]: Taking taylor expansion of k in k
1552122441.833 * [backup-simplify]: Simplify 0 into 0
1552122441.833 * [backup-simplify]: Simplify 1 into 1
1552122441.833 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122441.833 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122441.833 * [taylor]: Taking taylor expansion of 2 in k
1552122441.833 * [backup-simplify]: Simplify 2 into 2
1552122441.833 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122441.833 * [taylor]: Taking taylor expansion of n in k
1552122441.833 * [backup-simplify]: Simplify n into n
1552122441.833 * [taylor]: Taking taylor expansion of PI in k
1552122441.833 * [backup-simplify]: Simplify PI into PI
1552122441.833 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122441.833 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122441.833 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122441.833 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122441.833 * [backup-simplify]: Simplify (- 0) into 0
1552122441.834 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122441.834 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122441.834 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122441.834 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1552122441.834 * [taylor]: Taking taylor expansion of 0 in n
1552122441.834 * [backup-simplify]: Simplify 0 into 0
1552122441.834 * [backup-simplify]: Simplify 0 into 0
1552122441.834 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1552122441.835 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1552122441.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1552122441.836 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122441.836 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122441.836 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122441.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1552122441.837 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1552122441.837 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1552122441.837 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122441.837 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122441.837 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.837 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.837 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122441.837 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.837 * [taylor]: Taking taylor expansion of 2 in n
1552122441.837 * [backup-simplify]: Simplify 2 into 2
1552122441.837 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.838 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.838 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.838 * [taylor]: Taking taylor expansion of n in n
1552122441.838 * [backup-simplify]: Simplify 0 into 0
1552122441.838 * [backup-simplify]: Simplify 1 into 1
1552122441.838 * [taylor]: Taking taylor expansion of PI in n
1552122441.838 * [backup-simplify]: Simplify PI into PI
1552122441.838 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.839 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.840 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.840 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122441.841 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.841 * [backup-simplify]: Simplify (- 0) into 0
1552122441.841 * [backup-simplify]: Simplify 0 into 0
1552122441.841 * [backup-simplify]: Simplify 0 into 0
1552122441.841 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1552122441.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1552122441.843 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1552122441.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122441.844 * [backup-simplify]: Simplify (- 0) into 0
1552122441.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1552122441.845 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1552122441.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122441.848 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122441.848 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1552122441.848 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552122441.848 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552122441.848 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552122441.848 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.848 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.848 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552122441.848 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552122441.848 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.848 * [taylor]: Taking taylor expansion of 2 in n
1552122441.848 * [backup-simplify]: Simplify 2 into 2
1552122441.849 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.849 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.849 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.849 * [taylor]: Taking taylor expansion of 2 in n
1552122441.849 * [backup-simplify]: Simplify 2 into 2
1552122441.849 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.849 * [taylor]: Taking taylor expansion of n in n
1552122441.849 * [backup-simplify]: Simplify 0 into 0
1552122441.849 * [backup-simplify]: Simplify 1 into 1
1552122441.849 * [taylor]: Taking taylor expansion of PI in n
1552122441.849 * [backup-simplify]: Simplify PI into PI
1552122441.849 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.850 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.851 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.852 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.852 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.852 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.852 * [taylor]: Taking taylor expansion of n in n
1552122441.852 * [backup-simplify]: Simplify 0 into 0
1552122441.852 * [backup-simplify]: Simplify 1 into 1
1552122441.852 * [taylor]: Taking taylor expansion of PI in n
1552122441.852 * [backup-simplify]: Simplify PI into PI
1552122441.852 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.853 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.854 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.854 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122441.854 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122441.854 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.854 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.854 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122441.854 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.854 * [taylor]: Taking taylor expansion of 2 in n
1552122441.854 * [backup-simplify]: Simplify 2 into 2
1552122441.855 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.855 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.855 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.855 * [taylor]: Taking taylor expansion of n in n
1552122441.855 * [backup-simplify]: Simplify 0 into 0
1552122441.855 * [backup-simplify]: Simplify 1 into 1
1552122441.855 * [taylor]: Taking taylor expansion of PI in n
1552122441.855 * [backup-simplify]: Simplify PI into PI
1552122441.855 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.856 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.856 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.857 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.859 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.860 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552122441.861 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552122441.862 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.862 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122441.863 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.863 * [backup-simplify]: Simplify (- 0) into 0
1552122441.863 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.864 * [backup-simplify]: Simplify (- 0) into 0
1552122441.864 * [backup-simplify]: Simplify 0 into 0
1552122441.867 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.872 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.875 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.878 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.878 * [backup-simplify]: Simplify 0 into 0
1552122441.879 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122441.880 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1552122441.883 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1552122441.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552122441.884 * [backup-simplify]: Simplify (- 0) into 0
1552122441.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1552122441.887 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1552122441.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122441.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122441.890 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))))
1552122441.890 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n
1552122441.890 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n
1552122441.890 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1552122441.890 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.890 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.890 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1552122441.890 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1552122441.890 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.890 * [taylor]: Taking taylor expansion of 2 in n
1552122441.890 * [backup-simplify]: Simplify 2 into 2
1552122441.891 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.891 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.891 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.891 * [taylor]: Taking taylor expansion of 2 in n
1552122441.891 * [backup-simplify]: Simplify 2 into 2
1552122441.891 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.891 * [taylor]: Taking taylor expansion of n in n
1552122441.891 * [backup-simplify]: Simplify 0 into 0
1552122441.891 * [backup-simplify]: Simplify 1 into 1
1552122441.891 * [taylor]: Taking taylor expansion of PI in n
1552122441.891 * [backup-simplify]: Simplify PI into PI
1552122441.892 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.892 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.893 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.894 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.898 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.898 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.898 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.898 * [taylor]: Taking taylor expansion of n in n
1552122441.898 * [backup-simplify]: Simplify 0 into 0
1552122441.898 * [backup-simplify]: Simplify 1 into 1
1552122441.898 * [taylor]: Taking taylor expansion of PI in n
1552122441.898 * [backup-simplify]: Simplify PI into PI
1552122441.898 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.900 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.900 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.900 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1552122441.900 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1552122441.900 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1552122441.901 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.901 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.901 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1552122441.901 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1552122441.901 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.901 * [taylor]: Taking taylor expansion of 2 in n
1552122441.901 * [backup-simplify]: Simplify 2 into 2
1552122441.901 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.901 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1552122441.901 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122441.901 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122441.901 * [taylor]: Taking taylor expansion of 2 in n
1552122441.901 * [backup-simplify]: Simplify 2 into 2
1552122441.901 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.901 * [taylor]: Taking taylor expansion of n in n
1552122441.901 * [backup-simplify]: Simplify 0 into 0
1552122441.901 * [backup-simplify]: Simplify 1 into 1
1552122441.901 * [taylor]: Taking taylor expansion of PI in n
1552122441.901 * [backup-simplify]: Simplify PI into PI
1552122441.902 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.902 * [backup-simplify]: Simplify (* 2 0) into 0
1552122441.903 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.904 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122441.904 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.905 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.905 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.905 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.905 * [taylor]: Taking taylor expansion of n in n
1552122441.905 * [backup-simplify]: Simplify 0 into 0
1552122441.905 * [backup-simplify]: Simplify 1 into 1
1552122441.905 * [taylor]: Taking taylor expansion of PI in n
1552122441.905 * [backup-simplify]: Simplify PI into PI
1552122441.905 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.907 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.907 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1552122441.907 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1552122441.907 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122441.907 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122441.907 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1552122441.907 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1552122441.907 * [taylor]: Taking taylor expansion of 2 in n
1552122441.907 * [backup-simplify]: Simplify 2 into 2
1552122441.908 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1552122441.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1552122441.908 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1552122441.908 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122441.908 * [taylor]: Taking taylor expansion of n in n
1552122441.908 * [backup-simplify]: Simplify 0 into 0
1552122441.908 * [backup-simplify]: Simplify 1 into 1
1552122441.908 * [taylor]: Taking taylor expansion of PI in n
1552122441.908 * [backup-simplify]: Simplify PI into PI
1552122441.908 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122441.909 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122441.910 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122441.910 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1552122441.911 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.912 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1552122441.913 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1552122441.913 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.916 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.918 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1552122441.919 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1552122441.921 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1552122441.921 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.922 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1552122441.922 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1552122441.923 * [backup-simplify]: Simplify (- 0) into 0
1552122441.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.923 * [backup-simplify]: Simplify (- 0) into 0
1552122441.924 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122441.924 * [backup-simplify]: Simplify (- 0) into 0
1552122441.924 * [backup-simplify]: Simplify 0 into 0
1552122441.925 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122441.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122441.929 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122441.930 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122441.933 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552122441.939 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1552122441.942 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.946 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.948 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1552122441.953 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1552122441.957 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552122441.962 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1552122441.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122441.965 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1552122441.965 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1552122441.968 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122441.972 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122441.976 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122441.979 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1552122441.993 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552122441.993 * [backup-simplify]: Simplify (/ 1 (* (sqrt (/ 1 k)) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122441.993 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1552122441.993 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122441.994 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122441.994 * [taylor]: Taking taylor expansion of k in n
1552122441.994 * [backup-simplify]: Simplify k into k
1552122441.994 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122441.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122441.994 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122441.994 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122441.994 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122441.994 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122441.994 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.994 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122441.994 * [taylor]: Taking taylor expansion of 1/2 in n
1552122441.994 * [backup-simplify]: Simplify 1/2 into 1/2
1552122441.994 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122441.994 * [taylor]: Taking taylor expansion of k in n
1552122441.994 * [backup-simplify]: Simplify k into k
1552122441.994 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122441.994 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122441.994 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122441.994 * [taylor]: Taking taylor expansion of 2 in n
1552122441.994 * [backup-simplify]: Simplify 2 into 2
1552122441.994 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122441.994 * [taylor]: Taking taylor expansion of PI in n
1552122441.994 * [backup-simplify]: Simplify PI into PI
1552122441.994 * [taylor]: Taking taylor expansion of n in n
1552122441.994 * [backup-simplify]: Simplify 0 into 0
1552122441.994 * [backup-simplify]: Simplify 1 into 1
1552122441.995 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122441.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122441.996 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122441.996 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122441.997 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122441.997 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122441.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122442.007 * [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)))
1552122442.008 * [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))))
1552122442.008 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122442.008 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122442.008 * [taylor]: Taking taylor expansion of k in k
1552122442.008 * [backup-simplify]: Simplify 0 into 0
1552122442.008 * [backup-simplify]: Simplify 1 into 1
1552122442.008 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122442.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122442.010 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122442.010 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122442.010 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122442.010 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122442.010 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.010 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122442.010 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.010 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122442.010 * [taylor]: Taking taylor expansion of k in k
1552122442.010 * [backup-simplify]: Simplify 0 into 0
1552122442.010 * [backup-simplify]: Simplify 1 into 1
1552122442.011 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122442.011 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122442.011 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122442.011 * [taylor]: Taking taylor expansion of 2 in k
1552122442.011 * [backup-simplify]: Simplify 2 into 2
1552122442.011 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122442.011 * [taylor]: Taking taylor expansion of PI in k
1552122442.011 * [backup-simplify]: Simplify PI into PI
1552122442.011 * [taylor]: Taking taylor expansion of n in k
1552122442.011 * [backup-simplify]: Simplify n into n
1552122442.011 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122442.011 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122442.011 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122442.012 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122442.012 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122442.013 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122442.013 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122442.013 * [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))))
1552122442.013 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122442.013 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122442.013 * [taylor]: Taking taylor expansion of k in k
1552122442.013 * [backup-simplify]: Simplify 0 into 0
1552122442.013 * [backup-simplify]: Simplify 1 into 1
1552122442.013 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122442.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122442.015 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122442.015 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122442.015 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122442.015 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122442.015 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.015 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.015 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122442.015 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.015 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.015 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122442.015 * [taylor]: Taking taylor expansion of k in k
1552122442.015 * [backup-simplify]: Simplify 0 into 0
1552122442.015 * [backup-simplify]: Simplify 1 into 1
1552122442.016 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122442.016 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122442.016 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122442.016 * [taylor]: Taking taylor expansion of 2 in k
1552122442.016 * [backup-simplify]: Simplify 2 into 2
1552122442.016 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122442.016 * [taylor]: Taking taylor expansion of PI in k
1552122442.016 * [backup-simplify]: Simplify PI into PI
1552122442.016 * [taylor]: Taking taylor expansion of n in k
1552122442.016 * [backup-simplify]: Simplify n into n
1552122442.016 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122442.016 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122442.016 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122442.016 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122442.017 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122442.017 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122442.017 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122442.018 * [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))))
1552122442.018 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1552122442.018 * [taylor]: Taking taylor expansion of 0 in n
1552122442.018 * [backup-simplify]: Simplify 0 into 0
1552122442.018 * [backup-simplify]: Simplify 0 into 0
1552122442.019 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122442.019 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122442.019 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122442.019 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.019 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.019 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122442.019 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122442.019 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122442.019 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122442.019 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.019 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.019 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.019 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.019 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.019 * [taylor]: Taking taylor expansion of k in n
1552122442.019 * [backup-simplify]: Simplify k into k
1552122442.019 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.019 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122442.019 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122442.019 * [taylor]: Taking taylor expansion of 2 in n
1552122442.019 * [backup-simplify]: Simplify 2 into 2
1552122442.019 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.019 * [taylor]: Taking taylor expansion of PI in n
1552122442.019 * [backup-simplify]: Simplify PI into PI
1552122442.019 * [taylor]: Taking taylor expansion of n in n
1552122442.019 * [backup-simplify]: Simplify 0 into 0
1552122442.019 * [backup-simplify]: Simplify 1 into 1
1552122442.020 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.020 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122442.021 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122442.021 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.021 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122442.021 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122442.023 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122442.024 * [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)))
1552122442.025 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1552122442.026 * [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)))))
1552122442.027 * [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))))))
1552122442.028 * [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))))))
1552122442.028 * [backup-simplify]: Simplify 0 into 0
1552122442.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122442.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122442.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122442.033 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122442.033 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.033 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122442.033 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122442.033 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122442.033 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122442.033 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.033 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.033 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.033 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.033 * [taylor]: Taking taylor expansion of k in n
1552122442.033 * [backup-simplify]: Simplify k into k
1552122442.033 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.033 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122442.033 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122442.033 * [taylor]: Taking taylor expansion of 2 in n
1552122442.033 * [backup-simplify]: Simplify 2 into 2
1552122442.033 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.033 * [taylor]: Taking taylor expansion of PI in n
1552122442.033 * [backup-simplify]: Simplify PI into PI
1552122442.033 * [taylor]: Taking taylor expansion of n in n
1552122442.033 * [backup-simplify]: Simplify 0 into 0
1552122442.033 * [backup-simplify]: Simplify 1 into 1
1552122442.034 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.034 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122442.035 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122442.035 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.035 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122442.036 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122442.037 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122442.038 * [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)))
1552122442.039 * [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))))
1552122442.040 * [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)))))
1552122442.041 * [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))))))
1552122442.042 * [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))))))
1552122442.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122442.044 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122442.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122442.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122442.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122442.047 * [backup-simplify]: Simplify (- 0) into 0
1552122442.047 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122442.049 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122442.050 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122442.052 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122442.053 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552122442.054 * [backup-simplify]: Simplify (- 0) into 0
1552122442.054 * [backup-simplify]: Simplify 0 into 0
1552122442.054 * [backup-simplify]: Simplify 0 into 0
1552122442.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122442.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1552122442.059 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1552122442.059 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122442.059 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.059 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.059 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122442.059 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122442.059 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122442.059 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122442.059 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.059 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.059 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.060 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.060 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.060 * [taylor]: Taking taylor expansion of k in n
1552122442.060 * [backup-simplify]: Simplify k into k
1552122442.060 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.060 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122442.060 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122442.060 * [taylor]: Taking taylor expansion of 2 in n
1552122442.060 * [backup-simplify]: Simplify 2 into 2
1552122442.060 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.060 * [taylor]: Taking taylor expansion of PI in n
1552122442.060 * [backup-simplify]: Simplify PI into PI
1552122442.060 * [taylor]: Taking taylor expansion of n in n
1552122442.060 * [backup-simplify]: Simplify 0 into 0
1552122442.060 * [backup-simplify]: Simplify 1 into 1
1552122442.060 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122442.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122442.062 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.062 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122442.062 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122442.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122442.065 * [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)))
1552122442.066 * [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))))
1552122442.067 * [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)))))
1552122442.068 * [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))))))
1552122442.069 * [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))))))
1552122442.073 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
1552122442.074 * [backup-simplify]: Simplify (/ 1 (* (sqrt (/ 1 (- k))) (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1552122442.074 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1552122442.074 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122442.074 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122442.074 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122442.074 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122442.074 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122442.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.074 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.074 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.074 * [taylor]: Taking taylor expansion of k in n
1552122442.074 * [backup-simplify]: Simplify k into k
1552122442.074 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.074 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.074 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.074 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122442.074 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122442.074 * [taylor]: Taking taylor expansion of -2 in n
1552122442.074 * [backup-simplify]: Simplify -2 into -2
1552122442.074 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.074 * [taylor]: Taking taylor expansion of PI in n
1552122442.074 * [backup-simplify]: Simplify PI into PI
1552122442.074 * [taylor]: Taking taylor expansion of n in n
1552122442.074 * [backup-simplify]: Simplify 0 into 0
1552122442.074 * [backup-simplify]: Simplify 1 into 1
1552122442.075 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.075 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122442.076 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122442.076 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.077 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122442.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122442.079 * [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)))
1552122442.080 * [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))))
1552122442.080 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122442.080 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122442.080 * [taylor]: Taking taylor expansion of -1 in n
1552122442.080 * [backup-simplify]: Simplify -1 into -1
1552122442.080 * [taylor]: Taking taylor expansion of k in n
1552122442.080 * [backup-simplify]: Simplify k into k
1552122442.080 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122442.080 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122442.081 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122442.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122442.082 * [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)))
1552122442.082 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122442.082 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122442.082 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122442.082 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122442.082 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122442.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122442.082 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.082 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122442.082 * [taylor]: Taking taylor expansion of k in k
1552122442.082 * [backup-simplify]: Simplify 0 into 0
1552122442.082 * [backup-simplify]: Simplify 1 into 1
1552122442.082 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122442.082 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.083 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.083 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122442.083 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122442.083 * [taylor]: Taking taylor expansion of -2 in k
1552122442.083 * [backup-simplify]: Simplify -2 into -2
1552122442.083 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122442.083 * [taylor]: Taking taylor expansion of PI in k
1552122442.083 * [backup-simplify]: Simplify PI into PI
1552122442.083 * [taylor]: Taking taylor expansion of n in k
1552122442.083 * [backup-simplify]: Simplify n into n
1552122442.083 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122442.083 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122442.083 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122442.083 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122442.084 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122442.084 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122442.084 * [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)))
1552122442.084 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122442.084 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122442.084 * [taylor]: Taking taylor expansion of -1 in k
1552122442.084 * [backup-simplify]: Simplify -1 into -1
1552122442.084 * [taylor]: Taking taylor expansion of k in k
1552122442.084 * [backup-simplify]: Simplify 0 into 0
1552122442.084 * [backup-simplify]: Simplify 1 into 1
1552122442.085 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122442.085 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122442.086 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122442.087 * [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))))
1552122442.087 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122442.087 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122442.087 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122442.087 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122442.087 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122442.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122442.087 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.087 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122442.087 * [taylor]: Taking taylor expansion of k in k
1552122442.087 * [backup-simplify]: Simplify 0 into 0
1552122442.087 * [backup-simplify]: Simplify 1 into 1
1552122442.087 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122442.087 * [taylor]: Taking taylor expansion of 1/2 in k
1552122442.087 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.087 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122442.088 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122442.088 * [taylor]: Taking taylor expansion of -2 in k
1552122442.088 * [backup-simplify]: Simplify -2 into -2
1552122442.088 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122442.088 * [taylor]: Taking taylor expansion of PI in k
1552122442.088 * [backup-simplify]: Simplify PI into PI
1552122442.088 * [taylor]: Taking taylor expansion of n in k
1552122442.088 * [backup-simplify]: Simplify n into n
1552122442.088 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122442.088 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122442.088 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122442.088 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122442.089 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122442.089 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122442.089 * [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)))
1552122442.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122442.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122442.089 * [taylor]: Taking taylor expansion of -1 in k
1552122442.089 * [backup-simplify]: Simplify -1 into -1
1552122442.089 * [taylor]: Taking taylor expansion of k in k
1552122442.089 * [backup-simplify]: Simplify 0 into 0
1552122442.089 * [backup-simplify]: Simplify 1 into 1
1552122442.090 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122442.090 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122442.091 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122442.092 * [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))))
1552122442.092 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122442.092 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.092 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.092 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122442.092 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122442.092 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122442.092 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122442.092 * [taylor]: Taking taylor expansion of -2 in n
1552122442.092 * [backup-simplify]: Simplify -2 into -2
1552122442.092 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.092 * [taylor]: Taking taylor expansion of PI in n
1552122442.092 * [backup-simplify]: Simplify PI into PI
1552122442.092 * [taylor]: Taking taylor expansion of n in n
1552122442.092 * [backup-simplify]: Simplify 0 into 0
1552122442.092 * [backup-simplify]: Simplify 1 into 1
1552122442.093 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.093 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122442.094 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122442.094 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122442.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.094 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.094 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.094 * [taylor]: Taking taylor expansion of k in n
1552122442.094 * [backup-simplify]: Simplify k into k
1552122442.094 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.094 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.094 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122442.096 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.096 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122442.097 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122442.098 * [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))))
1552122442.099 * [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)))))
1552122442.100 * [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)))))
1552122442.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122442.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122442.105 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552122442.105 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122442.105 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122442.105 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.105 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.105 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122442.105 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122442.105 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122442.105 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122442.105 * [taylor]: Taking taylor expansion of -2 in n
1552122442.105 * [backup-simplify]: Simplify -2 into -2
1552122442.105 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.105 * [taylor]: Taking taylor expansion of PI in n
1552122442.105 * [backup-simplify]: Simplify PI into PI
1552122442.106 * [taylor]: Taking taylor expansion of n in n
1552122442.106 * [backup-simplify]: Simplify 0 into 0
1552122442.106 * [backup-simplify]: Simplify 1 into 1
1552122442.106 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.107 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122442.108 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122442.108 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122442.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.108 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.108 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.108 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.108 * [taylor]: Taking taylor expansion of k in n
1552122442.108 * [backup-simplify]: Simplify k into k
1552122442.108 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.108 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.108 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.109 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122442.109 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.110 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122442.111 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122442.112 * [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))))
1552122442.113 * [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)))))
1552122442.114 * [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))))))
1552122442.116 * [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))))))
1552122442.117 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122442.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122442.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122442.118 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122442.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122442.120 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122442.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122442.123 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1552122442.124 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122442.126 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1552122442.126 * [backup-simplify]: Simplify 0 into 0
1552122442.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122442.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122442.133 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))
1552122442.133 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1552122442.133 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1552122442.133 * [taylor]: Taking taylor expansion of +nan.0 in n
1552122442.133 * [backup-simplify]: Simplify +nan.0 into +nan.0
1552122442.133 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1552122442.133 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122442.134 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122442.134 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122442.134 * [taylor]: Taking taylor expansion of -2 in n
1552122442.134 * [backup-simplify]: Simplify -2 into -2
1552122442.134 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122442.134 * [taylor]: Taking taylor expansion of PI in n
1552122442.134 * [backup-simplify]: Simplify PI into PI
1552122442.134 * [taylor]: Taking taylor expansion of n in n
1552122442.134 * [backup-simplify]: Simplify 0 into 0
1552122442.134 * [backup-simplify]: Simplify 1 into 1
1552122442.134 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122442.135 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122442.136 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122442.136 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122442.136 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122442.136 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.136 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122442.136 * [taylor]: Taking taylor expansion of k in n
1552122442.136 * [backup-simplify]: Simplify k into k
1552122442.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122442.136 * [taylor]: Taking taylor expansion of 1/2 in n
1552122442.136 * [backup-simplify]: Simplify 1/2 into 1/2
1552122442.137 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122442.137 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122442.138 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122442.139 * [backup-simplify]: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1552122442.140 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1552122442.141 * [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)))))
1552122442.142 * [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))))))
1552122442.143 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1552122442.147 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
1552122442.147 * * * [progress]: simplifying candidates
1552122442.147 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122442.148 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1552122442.148 * * [simplify]: iters left: 6 (11 enodes)
1552122442.159 * * [simplify]: iters left: 5 (43 enodes)
1552122442.172 * * [simplify]: iters left: 4 (79 enodes)
1552122442.186 * * [simplify]: iters left: 3 (174 enodes)
1552122442.234 * * [simplify]: iters left: 2 (469 enodes)
1552122442.446 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.446 * * [simplify]: Extracting #1: cost 84 inf + 0
1552122442.447 * * [simplify]: Extracting #2: cost 306 inf + 0
1552122442.448 * * [simplify]: Extracting #3: cost 323 inf + 700
1552122442.451 * * [simplify]: Extracting #4: cost 264 inf + 10482
1552122442.467 * * [simplify]: Extracting #5: cost 52 inf + 75582
1552122442.486 * * [simplify]: Extracting #6: cost 0 inf + 94795
1552122442.522 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1552122442.523 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))))))
1552122442.523 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122442.523 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))))>
1552122442.523 * [simplify]: Simplifying (* (* n 2) PI)
1552122442.523 * * [simplify]: iters left: 4 (5 enodes)
1552122442.526 * * [simplify]: iters left: 3 (19 enodes)
1552122442.532 * * [simplify]: iters left: 2 (27 enodes)
1552122442.542 * * [simplify]: iters left: 1 (32 enodes)
1552122442.550 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.550 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122442.550 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122442.550 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122442.551 * [simplify]: Simplified to (* (* n 2) PI)
1552122442.551 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2))))))))
1552122442.551 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2)))))))>
1552122442.551 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122442.551 * * [simplify]: iters left: 5 (8 enodes)
1552122442.555 * * [simplify]: iters left: 4 (28 enodes)
1552122442.563 * * [simplify]: iters left: 3 (36 enodes)
1552122442.573 * * [simplify]: iters left: 2 (41 enodes)
1552122442.583 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.583 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122442.583 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122442.583 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122442.583 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122442.584 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122442.584 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122442.584 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2)))))))
1552122442.584 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))>
1552122442.584 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1552122442.584 * * [simplify]: iters left: 5 (6 enodes)
1552122442.588 * * [simplify]: iters left: 4 (20 enodes)
1552122442.591 * * [simplify]: iters left: 3 (25 enodes)
1552122442.595 * * [simplify]: iters left: 2 (27 enodes)
1552122442.601 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.601 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122442.601 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122442.601 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122442.601 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122442.601 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122442.601 * * [simplify]: Extracting #6: cost 1 inf + 662
1552122442.601 * * [simplify]: Extracting #7: cost 0 inf + 825
1552122442.602 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1552122442.602 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))))
1552122442.602 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))>
1552122442.602 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1552122442.602 * * [simplify]: iters left: 5 (6 enodes)
1552122442.604 * * [simplify]: iters left: 4 (20 enodes)
1552122442.607 * * [simplify]: iters left: 3 (25 enodes)
1552122442.611 * * [simplify]: iters left: 2 (27 enodes)
1552122442.615 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.615 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122442.615 * * [simplify]: Extracting #2: cost 7 inf + 0
1552122442.615 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122442.615 * * [simplify]: Extracting #4: cost 9 inf + 44
1552122442.615 * * [simplify]: Extracting #5: cost 5 inf + 291
1552122442.615 * * [simplify]: Extracting #6: cost 1 inf + 622
1552122442.615 * * [simplify]: Extracting #7: cost 0 inf + 745
1552122442.615 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1552122442.616 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))))
1552122442.616 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))>
1552122442.616 * [simplify]: Simplifying (- 1/2 (/ k 2))
1552122442.616 * * [simplify]: iters left: 4 (5 enodes)
1552122442.617 * * [simplify]: iters left: 3 (17 enodes)
1552122442.620 * * [simplify]: iters left: 2 (22 enodes)
1552122442.625 * * [simplify]: iters left: 1 (24 enodes)
1552122442.631 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.631 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122442.631 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122442.631 * * [simplify]: Extracting #3: cost 1 inf + 458
1552122442.632 * * [simplify]: Extracting #4: cost 0 inf + 499
1552122442.632 * [simplify]: Simplified to (- 1/2 (/ k 2))
1552122442.632 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))
1552122442.632 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2))))))))>
1552122442.632 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122442.632 * * [simplify]: iters left: 5 (9 enodes)
1552122442.637 * * [simplify]: iters left: 4 (33 enodes)
1552122442.645 * * [simplify]: iters left: 3 (43 enodes)
1552122442.655 * * [simplify]: iters left: 2 (48 enodes)
1552122442.667 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.667 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122442.667 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122442.667 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122442.668 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122442.668 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122442.668 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122442.669 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122442.669 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))))
1552122442.669 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2))))))))>
1552122442.669 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1552122442.670 * * [simplify]: iters left: 5 (9 enodes)
1552122442.673 * * [simplify]: iters left: 4 (33 enodes)
1552122442.682 * * [simplify]: iters left: 3 (43 enodes)
1552122442.692 * * [simplify]: iters left: 2 (48 enodes)
1552122442.703 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.703 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122442.703 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122442.703 * * [simplify]: Extracting #3: cost 16 inf + 45
1552122442.703 * * [simplify]: Extracting #4: cost 10 inf + 297
1552122442.704 * * [simplify]: Extracting #5: cost 4 inf + 629
1552122442.704 * * [simplify]: Extracting #6: cost 0 inf + 1500
1552122442.705 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1552122442.705 * [simplify]: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2))))))))
1552122442.705 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))))>
1552122442.705 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1552122442.705 * * [simplify]: iters left: 5 (8 enodes)
1552122442.709 * * [simplify]: iters left: 4 (27 enodes)
1552122442.716 * * [simplify]: iters left: 3 (32 enodes)
1552122442.724 * * [simplify]: iters left: 2 (34 enodes)
1552122442.732 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.732 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122442.732 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122442.732 * * [simplify]: Extracting #3: cost 12 inf + 3
1552122442.733 * * [simplify]: Extracting #4: cost 8 inf + 171
1552122442.733 * * [simplify]: Extracting #5: cost 1 inf + 918
1552122442.733 * * [simplify]: Extracting #6: cost 0 inf + 1252
1552122442.733 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1552122442.734 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))))
1552122442.734 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)))))>
1552122442.734 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122442.734 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122442.734 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2)))))))>
1552122442.734 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.734 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.734 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.734 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.734 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.735 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1552122442.735 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))>
1552122442.735 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2)))))))>
1552122442.735 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1552122442.735 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552122442.735 * [simplify]: Simplifying (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122442.735 * * [simplify]: iters left: 6 (14 enodes)
1552122442.741 * * [simplify]: iters left: 5 (53 enodes)
1552122442.756 * * [simplify]: iters left: 4 (72 enodes)
1552122442.774 * * [simplify]: iters left: 3 (88 enodes)
1552122442.793 * * [simplify]: iters left: 2 (90 enodes)
1552122442.814 * * [simplify]: iters left: 1 (93 enodes)
1552122442.833 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.833 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122442.833 * * [simplify]: Extracting #2: cost 13 inf + 1
1552122442.833 * * [simplify]: Extracting #3: cost 23 inf + 2
1552122442.833 * * [simplify]: Extracting #4: cost 20 inf + 215
1552122442.834 * * [simplify]: Extracting #5: cost 7 inf + 2458
1552122442.835 * * [simplify]: Extracting #6: cost 1 inf + 3949
1552122442.836 * * [simplify]: Extracting #7: cost 0 inf + 4404
1552122442.838 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552122442.838 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) 1)))
1552122442.838 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552122442.838 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122442.838 * [simplify]: Simplifying (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1552122442.838 * * [simplify]: iters left: 6 (15 enodes)
1552122442.845 * * [simplify]: iters left: 5 (61 enodes)
1552122442.862 * * [simplify]: iters left: 4 (116 enodes)
1552122442.895 * * [simplify]: iters left: 3 (293 enodes)
1552122442.984 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122442.984 * * [simplify]: Extracting #1: cost 28 inf + 0
1552122442.985 * * [simplify]: Extracting #2: cost 175 inf + 0
1552122442.988 * * [simplify]: Extracting #3: cost 244 inf + 3
1552122442.990 * * [simplify]: Extracting #4: cost 208 inf + 6653
1552122442.997 * * [simplify]: Extracting #5: cost 61 inf + 40422
1552122443.015 * * [simplify]: Extracting #6: cost 1 inf + 56854
1552122443.026 * * [simplify]: Extracting #7: cost 0 inf + 57088
1552122443.037 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1552122443.037 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552122443.038 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122443.038 * [simplify]: Simplifying (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1552122443.038 * * [simplify]: iters left: 6 (15 enodes)
1552122443.042 * * [simplify]: iters left: 5 (61 enodes)
1552122443.065 * * [simplify]: iters left: 4 (116 enodes)
1552122443.109 * * [simplify]: iters left: 3 (293 enodes)
1552122443.230 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122443.230 * * [simplify]: Extracting #1: cost 28 inf + 0
1552122443.230 * * [simplify]: Extracting #2: cost 175 inf + 0
1552122443.232 * * [simplify]: Extracting #3: cost 244 inf + 3
1552122443.234 * * [simplify]: Extracting #4: cost 208 inf + 6653
1552122443.241 * * [simplify]: Extracting #5: cost 61 inf + 40422
1552122443.252 * * [simplify]: Extracting #6: cost 1 inf + 56854
1552122443.267 * * [simplify]: Extracting #7: cost 0 inf + 57088
1552122443.289 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1552122443.289 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1552122443.289 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122443.290 * [simplify]: Simplifying (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122443.290 * * [simplify]: iters left: 6 (15 enodes)
1552122443.295 * * [simplify]: iters left: 5 (55 enodes)
1552122443.306 * * [simplify]: iters left: 4 (82 enodes)
1552122443.319 * * [simplify]: iters left: 3 (164 enodes)
1552122443.373 * * [simplify]: iters left: 2 (413 enodes)
1552122443.534 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122443.534 * * [simplify]: Extracting #1: cost 47 inf + 0
1552122443.535 * * [simplify]: Extracting #2: cost 235 inf + 0
1552122443.536 * * [simplify]: Extracting #3: cost 290 inf + 3
1552122443.538 * * [simplify]: Extracting #4: cost 258 inf + 5865
1552122443.544 * * [simplify]: Extracting #5: cost 110 inf + 38356
1552122443.576 * * [simplify]: Extracting #6: cost 4 inf + 69462
1552122443.606 * * [simplify]: Extracting #7: cost 0 inf + 70688
1552122443.638 * [simplify]: Simplified to (+ (* (log (* (* n 2) PI)) (+ (/ k 2) -1/2)) (log (sqrt k)))
1552122443.638 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* (* n 2) PI)) (+ (/ k 2) -1/2)) (log (sqrt k))))))
1552122443.638 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122443.639 * [simplify]: Simplifying (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122443.639 * * [simplify]: iters left: 6 (16 enodes)
1552122443.647 * * [simplify]: iters left: 5 (61 enodes)
1552122443.665 * * [simplify]: iters left: 4 (81 enodes)
1552122443.679 * * [simplify]: iters left: 3 (112 enodes)
1552122443.699 * * [simplify]: iters left: 2 (211 enodes)
1552122443.788 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122443.788 * * [simplify]: Extracting #1: cost 39 inf + 0
1552122443.788 * * [simplify]: Extracting #2: cost 146 inf + 1
1552122443.789 * * [simplify]: Extracting #3: cost 175 inf + 74
1552122443.791 * * [simplify]: Extracting #4: cost 174 inf + 913
1552122443.794 * * [simplify]: Extracting #5: cost 123 inf + 9616
1552122443.805 * * [simplify]: Extracting #6: cost 22 inf + 35362
1552122443.822 * * [simplify]: Extracting #7: cost 0 inf + 41036
1552122443.838 * * [simplify]: Extracting #8: cost 0 inf + 40686
1552122443.854 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* PI (* n 2)))))
1552122443.854 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* PI (* n 2))))))))
1552122443.855 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122443.855 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122443.855 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122443.855 * [simplify]: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122443.855 * * [simplify]: iters left: 6 (18 enodes)
1552122443.865 * * [simplify]: iters left: 5 (73 enodes)
1552122443.890 * * [simplify]: iters left: 4 (126 enodes)
1552122443.939 * * [simplify]: iters left: 3 (235 enodes)
1552122444.040 * * [simplify]: iters left: 2 (349 enodes)
1552122444.137 * * [simplify]: iters left: 1 (406 enodes)
1552122444.222 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.223 * * [simplify]: Extracting #1: cost 34 inf + 0
1552122444.223 * * [simplify]: Extracting #2: cost 60 inf + 43
1552122444.223 * * [simplify]: Extracting #3: cost 67 inf + 247
1552122444.224 * * [simplify]: Extracting #4: cost 66 inf + 418
1552122444.225 * * [simplify]: Extracting #5: cost 46 inf + 6664
1552122444.231 * * [simplify]: Extracting #6: cost 9 inf + 22772
1552122444.239 * * [simplify]: Extracting #7: cost 0 inf + 27145
1552122444.247 * [simplify]: Simplified to (/ (/ (* k (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))
1552122444.247 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1552122444.247 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.248 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.248 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.248 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.248 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122444.248 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.248 * * [simplify]: iters left: 5 (10 enodes)
1552122444.250 * * [simplify]: iters left: 4 (36 enodes)
1552122444.257 * * [simplify]: iters left: 3 (49 enodes)
1552122444.264 * * [simplify]: iters left: 2 (56 enodes)
1552122444.271 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.271 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.271 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122444.271 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122444.271 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122444.272 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122444.272 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.272 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122444.272 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.272 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122444.272 * * [simplify]: iters left: 6 (13 enodes)
1552122444.276 * * [simplify]: iters left: 5 (47 enodes)
1552122444.283 * * [simplify]: iters left: 4 (62 enodes)
1552122444.291 * * [simplify]: iters left: 3 (69 enodes)
1552122444.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.300 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122444.300 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122444.300 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122444.300 * * [simplify]: Extracting #4: cost 19 inf + 1
1552122444.300 * * [simplify]: Extracting #5: cost 17 inf + 297
1552122444.300 * * [simplify]: Extracting #6: cost 10 inf + 632
1552122444.301 * * [simplify]: Extracting #7: cost 2 inf + 2996
1552122444.301 * * [simplify]: Extracting #8: cost 0 inf + 3494
1552122444.302 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552122444.302 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))))
1552122444.302 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.302 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122444.302 * * [simplify]: iters left: 6 (13 enodes)
1552122444.305 * * [simplify]: iters left: 5 (47 enodes)
1552122444.312 * * [simplify]: iters left: 4 (62 enodes)
1552122444.321 * * [simplify]: iters left: 3 (69 enodes)
1552122444.334 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.334 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122444.334 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122444.334 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122444.334 * * [simplify]: Extracting #4: cost 19 inf + 1
1552122444.335 * * [simplify]: Extracting #5: cost 17 inf + 297
1552122444.335 * * [simplify]: Extracting #6: cost 10 inf + 632
1552122444.336 * * [simplify]: Extracting #7: cost 2 inf + 2916
1552122444.337 * * [simplify]: Extracting #8: cost 0 inf + 3414
1552122444.338 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1552122444.338 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))))
1552122444.338 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122444.338 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122444.339 * * [simplify]: iters left: 6 (12 enodes)
1552122444.345 * * [simplify]: iters left: 5 (44 enodes)
1552122444.361 * * [simplify]: iters left: 4 (59 enodes)
1552122444.378 * * [simplify]: iters left: 3 (66 enodes)
1552122444.394 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.394 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.394 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122444.394 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122444.394 * * [simplify]: Extracting #4: cost 15 inf + 297
1552122444.395 * * [simplify]: Extracting #5: cost 8 inf + 673
1552122444.395 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552122444.396 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552122444.397 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552122444.397 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))))
1552122444.397 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1552122444.397 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122444.397 * * [simplify]: iters left: 6 (12 enodes)
1552122444.403 * * [simplify]: iters left: 5 (44 enodes)
1552122444.417 * * [simplify]: iters left: 4 (59 enodes)
1552122444.433 * * [simplify]: iters left: 3 (66 enodes)
1552122444.444 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.444 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.444 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122444.444 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122444.444 * * [simplify]: Extracting #4: cost 15 inf + 297
1552122444.444 * * [simplify]: Extracting #5: cost 8 inf + 673
1552122444.445 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552122444.445 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552122444.445 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552122444.445 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2)))))))
1552122444.446 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))))>
1552122444.446 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1552122444.446 * * [simplify]: iters left: 5 (8 enodes)
1552122444.448 * * [simplify]: iters left: 4 (28 enodes)
1552122444.452 * * [simplify]: iters left: 3 (36 enodes)
1552122444.456 * * [simplify]: iters left: 2 (41 enodes)
1552122444.463 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.463 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.463 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122444.463 * * [simplify]: Extracting #3: cost 12 inf + 4
1552122444.463 * * [simplify]: Extracting #4: cost 3 inf + 756
1552122444.463 * * [simplify]: Extracting #5: cost 0 inf + 1174
1552122444.464 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1552122444.464 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2)))))
1552122444.464 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.464 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552122444.464 * * [simplify]: iters left: 4 (4 enodes)
1552122444.465 * * [simplify]: iters left: 3 (12 enodes)
1552122444.466 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.466 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122444.466 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122444.466 * * [simplify]: Extracting #3: cost 7 inf + 0
1552122444.466 * * [simplify]: Extracting #4: cost 6 inf + 1
1552122444.466 * * [simplify]: Extracting #5: cost 0 inf + 647
1552122444.466 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1552122444.466 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122444.467 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.467 * [simplify]: Simplifying (sqrt (sqrt k))
1552122444.467 * * [simplify]: iters left: 2 (3 enodes)
1552122444.467 * * [simplify]: iters left: 1 (9 enodes)
1552122444.468 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.468 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122444.468 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122444.468 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122444.469 * * [simplify]: Extracting #4: cost 0 inf + 245
1552122444.469 * [simplify]: Simplified to (sqrt (sqrt k))
1552122444.469 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1552122444.469 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.469 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122444.469 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.469 * * [simplify]: iters left: 5 (10 enodes)
1552122444.474 * * [simplify]: iters left: 4 (36 enodes)
1552122444.484 * * [simplify]: iters left: 3 (49 enodes)
1552122444.497 * * [simplify]: iters left: 2 (56 enodes)
1552122444.504 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.504 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.504 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122444.504 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122444.504 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122444.505 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122444.505 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.505 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122444.505 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.505 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1552122444.505 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))>
1552122444.505 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- 1)))>
1552122444.505 * [simplify]: Simplifying (- 1)
1552122444.505 * * [simplify]: iters left: 2 (2 enodes)
1552122444.507 * * [simplify]: iters left: 1 (9 enodes)
1552122444.508 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.508 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122444.508 * [simplify]: Simplified to -1
1552122444.508 * [simplify]: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))
1552122444.508 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (- 1)))>
1552122444.509 * [simplify]: Simplifying (- 1)
1552122444.509 * * [simplify]: iters left: 2 (2 enodes)
1552122444.510 * * [simplify]: iters left: 1 (9 enodes)
1552122444.511 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.511 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122444.511 * [simplify]: Simplified to -1
1552122444.511 * [simplify]: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) -1))
1552122444.511 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) 1))>
1552122444.511 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122444.512 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))))))>
1552122444.512 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (sqrt k)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))) (cbrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (sqrt (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.512 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.512 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.512 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1552122444.512 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)))>
1552122444.512 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1552122444.512 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1552122444.512 * * [simplify]: iters left: 6 (12 enodes)
1552122444.515 * * [simplify]: iters left: 5 (44 enodes)
1552122444.522 * * [simplify]: iters left: 4 (59 enodes)
1552122444.536 * * [simplify]: iters left: 3 (66 enodes)
1552122444.551 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.551 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.551 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122444.552 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122444.552 * * [simplify]: Extracting #4: cost 15 inf + 297
1552122444.552 * * [simplify]: Extracting #5: cost 8 inf + 673
1552122444.553 * * [simplify]: Extracting #6: cost 1 inf + 2127
1552122444.554 * * [simplify]: Extracting #7: cost 0 inf + 2502
1552122444.555 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1552122444.555 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1552122444.555 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552122444.555 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.555 * * [simplify]: iters left: 5 (10 enodes)
1552122444.560 * * [simplify]: iters left: 4 (36 enodes)
1552122444.570 * * [simplify]: iters left: 3 (49 enodes)
1552122444.585 * * [simplify]: iters left: 2 (56 enodes)
1552122444.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.592 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.593 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122444.593 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122444.593 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122444.593 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122444.593 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.593 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122444.594 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1552122444.594 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.594 * * [simplify]: iters left: 5 (10 enodes)
1552122444.596 * * [simplify]: iters left: 4 (36 enodes)
1552122444.602 * * [simplify]: iters left: 3 (49 enodes)
1552122444.608 * * [simplify]: iters left: 2 (56 enodes)
1552122444.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.616 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122444.616 * * [simplify]: Extracting #2: cost 15 inf + 0
1552122444.616 * * [simplify]: Extracting #3: cost 18 inf + 4
1552122444.616 * * [simplify]: Extracting #4: cost 7 inf + 630
1552122444.616 * * [simplify]: Extracting #5: cost 0 inf + 1669
1552122444.617 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1552122444.617 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1552122444.617 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))))>
1552122444.617 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))))>
1552122444.617 * [simplify]: Simplifying (- (+ (* 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)))))
1552122444.617 * * [simplify]: iters left: 6 (37 enodes)
1552122444.634 * * [simplify]: iters left: 5 (179 enodes)
1552122444.704 * * [simplify]: iters left: 4 (458 enodes)
1552122444.893 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122444.893 * * [simplify]: Extracting #1: cost 57 inf + 0
1552122444.894 * * [simplify]: Extracting #2: cost 287 inf + 0
1552122444.897 * * [simplify]: Extracting #3: cost 485 inf + 158
1552122444.902 * * [simplify]: Extracting #4: cost 473 inf + 4949
1552122444.923 * * [simplify]: Extracting #5: cost 294 inf + 68227
1552122444.978 * * [simplify]: Extracting #6: cost 43 inf + 204764
1552122445.058 * * [simplify]: Extracting #7: cost 0 inf + 227627
1552122445.154 * * [simplify]: Extracting #8: cost 0 inf + 222950
1552122445.230 * * [simplify]: Extracting #9: cost 0 inf + 222310
1552122445.285 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1552122445.285 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))))))
1552122445.286 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
1552122445.286 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552122445.286 * * [simplify]: iters left: 6 (15 enodes)
1552122445.290 * * [simplify]: iters left: 5 (63 enodes)
1552122445.304 * * [simplify]: iters left: 4 (108 enodes)
1552122445.329 * * [simplify]: iters left: 3 (260 enodes)
1552122445.440 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122445.440 * * [simplify]: Extracting #1: cost 17 inf + 0
1552122445.440 * * [simplify]: Extracting #2: cost 115 inf + 0
1552122445.441 * * [simplify]: Extracting #3: cost 221 inf + 4
1552122445.442 * * [simplify]: Extracting #4: cost 174 inf + 5827
1552122445.447 * * [simplify]: Extracting #5: cost 46 inf + 35251
1552122445.456 * * [simplify]: Extracting #6: cost 0 inf + 47711
1552122445.466 * * [simplify]: Extracting #7: cost 0 inf + 47571
1552122445.475 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1552122445.475 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))))))
1552122445.475 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
1552122445.475 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552122445.475 * * [simplify]: iters left: 6 (15 enodes)
1552122445.483 * * [simplify]: iters left: 5 (60 enodes)
1552122445.494 * * [simplify]: iters left: 4 (111 enodes)
1552122445.528 * * [simplify]: iters left: 3 (294 enodes)
1552122445.661 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122445.661 * * [simplify]: Extracting #1: cost 16 inf + 0
1552122445.661 * * [simplify]: Extracting #2: cost 142 inf + 0
1552122445.662 * * [simplify]: Extracting #3: cost 317 inf + 187
1552122445.664 * * [simplify]: Extracting #4: cost 290 inf + 2919
1552122445.674 * * [simplify]: Extracting #5: cost 105 inf + 47243
1552122445.689 * * [simplify]: Extracting #6: cost 3 inf + 79409
1552122445.703 * * [simplify]: Extracting #7: cost 0 inf + 77357
1552122445.727 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1552122445.727 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))))
1552122445.727 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552122445.728 * [simplify]: Simplifying (* 2 (* n PI))
1552122445.728 * * [simplify]: iters left: 4 (5 enodes)
1552122445.731 * * [simplify]: iters left: 3 (19 enodes)
1552122445.736 * * [simplify]: iters left: 2 (27 enodes)
1552122445.744 * * [simplify]: iters left: 1 (32 enodes)
1552122445.751 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122445.751 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122445.751 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122445.752 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122445.752 * [simplify]: Simplified to (* (* PI n) 2)
1552122445.752 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552122445.752 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552122445.752 * [simplify]: Simplifying (* 2 (* n PI))
1552122445.752 * * [simplify]: iters left: 4 (5 enodes)
1552122445.755 * * [simplify]: iters left: 3 (19 enodes)
1552122445.761 * * [simplify]: iters left: 2 (27 enodes)
1552122445.768 * * [simplify]: iters left: 1 (32 enodes)
1552122445.776 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122445.776 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122445.776 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122445.776 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122445.777 * [simplify]: Simplified to (* (* PI n) 2)
1552122445.777 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552122445.777 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))>
1552122445.777 * [simplify]: Simplifying (* 2 (* n PI))
1552122445.777 * * [simplify]: iters left: 4 (5 enodes)
1552122445.779 * * [simplify]: iters left: 3 (19 enodes)
1552122445.782 * * [simplify]: iters left: 2 (27 enodes)
1552122445.787 * * [simplify]: iters left: 1 (32 enodes)
1552122445.791 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122445.791 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122445.791 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122445.791 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122445.791 * [simplify]: Simplified to (* (* PI n) 2)
1552122445.791 * [simplify]: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1552122445.791 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1552122445.792 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))
1552122445.792 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122445.792 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1552122445.792 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))
1552122445.792 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122445.792 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1552122445.792 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1552122445.792 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1552122445.793 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1552122445.793 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1552122445.793 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122445.793 * * * * [progress]: [ 86 / 87 ] 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)))))))))>
1552122445.793 * [simplify]: Simplifying (- (+ (* +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))))))))
1552122445.793 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122445.793 * * * * [progress]: [ 87 / 87 ] 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))))))))))))>
1552122445.793 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552122445.793 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122445.794 * * * [progress]: adding candidates to table
1552122446.749 * * [progress]: iteration 4 / 4
1552122446.749 * * * [progress]: picking best candidate
1552122446.790 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122446.790 * * * [progress]: localizing error
1552122446.817 * * * [progress]: generating rewritten candidates
1552122446.817 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1552122446.820 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1552122446.823 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1552122446.833 * * * [progress]: generating series expansions
1552122446.833 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1552122446.834 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1552122446.834 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1552122446.834 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122446.834 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122446.834 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122446.834 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122446.834 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.834 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.834 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122446.834 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.834 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.834 * [taylor]: Taking taylor expansion of k in k
1552122446.834 * [backup-simplify]: Simplify 0 into 0
1552122446.834 * [backup-simplify]: Simplify 1 into 1
1552122446.834 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122446.834 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122446.834 * [taylor]: Taking taylor expansion of 2 in k
1552122446.834 * [backup-simplify]: Simplify 2 into 2
1552122446.834 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122446.834 * [taylor]: Taking taylor expansion of n in k
1552122446.834 * [backup-simplify]: Simplify n into n
1552122446.834 * [taylor]: Taking taylor expansion of PI in k
1552122446.834 * [backup-simplify]: Simplify PI into PI
1552122446.834 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122446.834 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122446.834 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122446.835 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122446.835 * [backup-simplify]: Simplify (- 0) into 0
1552122446.835 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122446.835 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122446.835 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122446.835 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122446.835 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122446.835 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122446.835 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122446.835 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.835 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.836 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122446.836 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.836 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.836 * [taylor]: Taking taylor expansion of k in n
1552122446.836 * [backup-simplify]: Simplify k into k
1552122446.836 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122446.836 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122446.836 * [taylor]: Taking taylor expansion of 2 in n
1552122446.836 * [backup-simplify]: Simplify 2 into 2
1552122446.836 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122446.836 * [taylor]: Taking taylor expansion of n in n
1552122446.836 * [backup-simplify]: Simplify 0 into 0
1552122446.836 * [backup-simplify]: Simplify 1 into 1
1552122446.836 * [taylor]: Taking taylor expansion of PI in n
1552122446.836 * [backup-simplify]: Simplify PI into PI
1552122446.836 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122446.836 * [backup-simplify]: Simplify (* 2 0) into 0
1552122446.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122446.838 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122446.839 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.839 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122446.839 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122446.839 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122446.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122446.840 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122446.841 * [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)))))
1552122446.841 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122446.841 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122446.841 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122446.841 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122446.841 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.841 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.841 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122446.841 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.841 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.841 * [taylor]: Taking taylor expansion of k in n
1552122446.841 * [backup-simplify]: Simplify k into k
1552122446.841 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122446.841 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122446.841 * [taylor]: Taking taylor expansion of 2 in n
1552122446.841 * [backup-simplify]: Simplify 2 into 2
1552122446.841 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122446.842 * [taylor]: Taking taylor expansion of n in n
1552122446.842 * [backup-simplify]: Simplify 0 into 0
1552122446.842 * [backup-simplify]: Simplify 1 into 1
1552122446.842 * [taylor]: Taking taylor expansion of PI in n
1552122446.842 * [backup-simplify]: Simplify PI into PI
1552122446.842 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122446.842 * [backup-simplify]: Simplify (* 2 0) into 0
1552122446.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122446.844 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122446.844 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.844 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122446.844 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122446.845 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122446.845 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122446.846 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122446.847 * [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)))))
1552122446.847 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122446.847 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122446.847 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122446.847 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.847 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.847 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122446.847 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.847 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.847 * [taylor]: Taking taylor expansion of k in k
1552122446.847 * [backup-simplify]: Simplify 0 into 0
1552122446.847 * [backup-simplify]: Simplify 1 into 1
1552122446.847 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122446.847 * [taylor]: Taking taylor expansion of (log n) in k
1552122446.847 * [taylor]: Taking taylor expansion of n in k
1552122446.847 * [backup-simplify]: Simplify n into n
1552122446.847 * [backup-simplify]: Simplify (log n) into (log n)
1552122446.847 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122446.847 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122446.847 * [taylor]: Taking taylor expansion of 2 in k
1552122446.847 * [backup-simplify]: Simplify 2 into 2
1552122446.847 * [taylor]: Taking taylor expansion of PI in k
1552122446.847 * [backup-simplify]: Simplify PI into PI
1552122446.847 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122446.848 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.848 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122446.849 * [backup-simplify]: Simplify (- 0) into 0
1552122446.849 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122446.849 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122446.850 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122446.851 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122446.852 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122446.853 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122446.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122446.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122446.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122446.857 * [backup-simplify]: Simplify (- 0) into 0
1552122446.857 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.859 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122446.860 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122446.862 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122446.862 * [taylor]: Taking taylor expansion of 0 in k
1552122446.862 * [backup-simplify]: Simplify 0 into 0
1552122446.862 * [backup-simplify]: Simplify 0 into 0
1552122446.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122446.863 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122446.865 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122446.865 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.866 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122446.866 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122446.867 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122446.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122446.870 * [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)))))))
1552122446.880 * [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)))))))
1552122446.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122446.882 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122446.885 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1552122446.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122446.886 * [backup-simplify]: Simplify (- 0) into 0
1552122446.886 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.888 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122446.889 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122446.891 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122446.891 * [taylor]: Taking taylor expansion of 0 in k
1552122446.891 * [backup-simplify]: Simplify 0 into 0
1552122446.891 * [backup-simplify]: Simplify 0 into 0
1552122446.891 * [backup-simplify]: Simplify 0 into 0
1552122446.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122446.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122446.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1552122446.897 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122446.898 * [backup-simplify]: Simplify (- 0) into 0
1552122446.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122446.903 * [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)))))
1552122446.907 * [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)))))
1552122446.912 * [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)))))
1552122446.912 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (- 1/2 (* 1/2 (/ 1 k)))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1552122446.912 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1552122446.912 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122446.912 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122446.912 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122446.913 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122446.913 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.913 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122446.913 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.913 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122446.913 * [taylor]: Taking taylor expansion of k in k
1552122446.913 * [backup-simplify]: Simplify 0 into 0
1552122446.913 * [backup-simplify]: Simplify 1 into 1
1552122446.913 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122446.913 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122446.913 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122446.913 * [taylor]: Taking taylor expansion of 2 in k
1552122446.913 * [backup-simplify]: Simplify 2 into 2
1552122446.913 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122446.913 * [taylor]: Taking taylor expansion of PI in k
1552122446.913 * [backup-simplify]: Simplify PI into PI
1552122446.913 * [taylor]: Taking taylor expansion of n in k
1552122446.913 * [backup-simplify]: Simplify n into n
1552122446.913 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122446.913 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122446.913 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122446.913 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122446.914 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122446.914 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122446.914 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122446.914 * [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))))
1552122446.914 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122446.914 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122446.914 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122446.914 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122446.914 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.914 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122446.914 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.914 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122446.914 * [taylor]: Taking taylor expansion of k in n
1552122446.914 * [backup-simplify]: Simplify k into k
1552122446.914 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122446.914 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122446.914 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122446.914 * [taylor]: Taking taylor expansion of 2 in n
1552122446.914 * [backup-simplify]: Simplify 2 into 2
1552122446.914 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122446.914 * [taylor]: Taking taylor expansion of PI in n
1552122446.914 * [backup-simplify]: Simplify PI into PI
1552122446.915 * [taylor]: Taking taylor expansion of n in n
1552122446.915 * [backup-simplify]: Simplify 0 into 0
1552122446.915 * [backup-simplify]: Simplify 1 into 1
1552122446.915 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122446.915 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122446.916 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.916 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122446.916 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122446.916 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122446.917 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122446.917 * [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)))
1552122446.918 * [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))))
1552122446.918 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122446.918 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122446.918 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122446.918 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122446.918 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.918 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122446.918 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.918 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122446.918 * [taylor]: Taking taylor expansion of k in n
1552122446.918 * [backup-simplify]: Simplify k into k
1552122446.918 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122446.918 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122446.918 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122446.918 * [taylor]: Taking taylor expansion of 2 in n
1552122446.918 * [backup-simplify]: Simplify 2 into 2
1552122446.918 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122446.918 * [taylor]: Taking taylor expansion of PI in n
1552122446.918 * [backup-simplify]: Simplify PI into PI
1552122446.918 * [taylor]: Taking taylor expansion of n in n
1552122446.918 * [backup-simplify]: Simplify 0 into 0
1552122446.918 * [backup-simplify]: Simplify 1 into 1
1552122446.919 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122446.919 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122446.920 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.920 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122446.920 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122446.920 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122446.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122446.921 * [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)))
1552122446.922 * [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))))
1552122446.922 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122446.922 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122446.922 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122446.922 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.922 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.922 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122446.922 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.922 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122446.922 * [taylor]: Taking taylor expansion of k in k
1552122446.922 * [backup-simplify]: Simplify 0 into 0
1552122446.922 * [backup-simplify]: Simplify 1 into 1
1552122446.922 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122446.922 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122446.922 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122446.922 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122446.922 * [taylor]: Taking taylor expansion of 2 in k
1552122446.922 * [backup-simplify]: Simplify 2 into 2
1552122446.922 * [taylor]: Taking taylor expansion of PI in k
1552122446.922 * [backup-simplify]: Simplify PI into PI
1552122446.923 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122446.923 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122446.923 * [taylor]: Taking taylor expansion of (log n) in k
1552122446.923 * [taylor]: Taking taylor expansion of n in k
1552122446.923 * [backup-simplify]: Simplify n into n
1552122446.923 * [backup-simplify]: Simplify (log n) into (log n)
1552122446.924 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122446.924 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122446.924 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122446.924 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122446.925 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122446.925 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122446.926 * [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))))
1552122446.927 * [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))))
1552122446.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122446.928 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122446.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122446.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122446.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122446.929 * [backup-simplify]: Simplify (- 0) into 0
1552122446.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122446.931 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122446.932 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122446.932 * [taylor]: Taking taylor expansion of 0 in k
1552122446.932 * [backup-simplify]: Simplify 0 into 0
1552122446.932 * [backup-simplify]: Simplify 0 into 0
1552122446.932 * [backup-simplify]: Simplify 0 into 0
1552122446.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122446.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122446.935 * [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
1552122446.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122446.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122446.936 * [backup-simplify]: Simplify (- 0) into 0
1552122446.936 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122446.938 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122446.940 * [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
1552122446.940 * [taylor]: Taking taylor expansion of 0 in k
1552122446.940 * [backup-simplify]: Simplify 0 into 0
1552122446.940 * [backup-simplify]: Simplify 0 into 0
1552122446.940 * [backup-simplify]: Simplify 0 into 0
1552122446.941 * [backup-simplify]: Simplify 0 into 0
1552122446.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122446.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122446.947 * [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
1552122446.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122446.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122446.949 * [backup-simplify]: Simplify (- 0) into 0
1552122446.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.951 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122446.952 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122446.954 * [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
1552122446.954 * [taylor]: Taking taylor expansion of 0 in k
1552122446.954 * [backup-simplify]: Simplify 0 into 0
1552122446.954 * [backup-simplify]: Simplify 0 into 0
1552122446.955 * [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)))))
1552122446.956 * [backup-simplify]: Simplify (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (- 1/2 (* 1/2 (/ 1 (- k))))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1552122446.956 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1552122446.956 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122446.956 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122446.956 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122446.956 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122446.956 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122446.956 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.956 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122446.956 * [taylor]: Taking taylor expansion of k in k
1552122446.956 * [backup-simplify]: Simplify 0 into 0
1552122446.956 * [backup-simplify]: Simplify 1 into 1
1552122446.957 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122446.957 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.957 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.957 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122446.957 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122446.957 * [taylor]: Taking taylor expansion of -2 in k
1552122446.957 * [backup-simplify]: Simplify -2 into -2
1552122446.957 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122446.957 * [taylor]: Taking taylor expansion of PI in k
1552122446.957 * [backup-simplify]: Simplify PI into PI
1552122446.957 * [taylor]: Taking taylor expansion of n in k
1552122446.957 * [backup-simplify]: Simplify n into n
1552122446.957 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122446.957 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122446.957 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122446.958 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122446.958 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122446.958 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122446.958 * [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)))
1552122446.958 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122446.958 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122446.958 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122446.958 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122446.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122446.958 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.958 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122446.958 * [taylor]: Taking taylor expansion of k in n
1552122446.958 * [backup-simplify]: Simplify k into k
1552122446.958 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122446.959 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.959 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.959 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122446.959 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122446.959 * [taylor]: Taking taylor expansion of -2 in n
1552122446.959 * [backup-simplify]: Simplify -2 into -2
1552122446.959 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122446.959 * [taylor]: Taking taylor expansion of PI in n
1552122446.959 * [backup-simplify]: Simplify PI into PI
1552122446.959 * [taylor]: Taking taylor expansion of n in n
1552122446.959 * [backup-simplify]: Simplify 0 into 0
1552122446.959 * [backup-simplify]: Simplify 1 into 1
1552122446.959 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122446.960 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122446.960 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122446.960 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122446.961 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122446.962 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122446.963 * [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)))
1552122446.964 * [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))))
1552122446.964 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122446.964 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122446.964 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122446.964 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122446.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122446.964 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.964 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.964 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122446.964 * [taylor]: Taking taylor expansion of k in n
1552122446.964 * [backup-simplify]: Simplify k into k
1552122446.964 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122446.964 * [taylor]: Taking taylor expansion of 1/2 in n
1552122446.964 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.964 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122446.964 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122446.964 * [taylor]: Taking taylor expansion of -2 in n
1552122446.964 * [backup-simplify]: Simplify -2 into -2
1552122446.964 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122446.964 * [taylor]: Taking taylor expansion of PI in n
1552122446.964 * [backup-simplify]: Simplify PI into PI
1552122446.964 * [taylor]: Taking taylor expansion of n in n
1552122446.964 * [backup-simplify]: Simplify 0 into 0
1552122446.964 * [backup-simplify]: Simplify 1 into 1
1552122446.965 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122446.965 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122446.966 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122446.966 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122446.966 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122446.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122446.968 * [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)))
1552122446.969 * [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))))
1552122446.969 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122446.969 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122446.969 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122446.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122446.969 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.969 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122446.969 * [taylor]: Taking taylor expansion of k in k
1552122446.969 * [backup-simplify]: Simplify 0 into 0
1552122446.969 * [backup-simplify]: Simplify 1 into 1
1552122446.970 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122446.970 * [taylor]: Taking taylor expansion of 1/2 in k
1552122446.970 * [backup-simplify]: Simplify 1/2 into 1/2
1552122446.970 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122446.970 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122446.970 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122446.970 * [taylor]: Taking taylor expansion of -2 in k
1552122446.970 * [backup-simplify]: Simplify -2 into -2
1552122446.970 * [taylor]: Taking taylor expansion of PI in k
1552122446.970 * [backup-simplify]: Simplify PI into PI
1552122446.970 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122446.971 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122446.971 * [taylor]: Taking taylor expansion of (log n) in k
1552122446.971 * [taylor]: Taking taylor expansion of n in k
1552122446.971 * [backup-simplify]: Simplify n into n
1552122446.971 * [backup-simplify]: Simplify (log n) into (log n)
1552122446.971 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122446.971 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122446.971 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122446.972 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122446.973 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122446.973 * [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))))
1552122446.974 * [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))))
1552122446.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122446.975 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122446.976 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122446.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122446.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122446.977 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122446.978 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122446.979 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122446.979 * [taylor]: Taking taylor expansion of 0 in k
1552122446.979 * [backup-simplify]: Simplify 0 into 0
1552122446.979 * [backup-simplify]: Simplify 0 into 0
1552122446.979 * [backup-simplify]: Simplify 0 into 0
1552122446.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122446.984 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122446.986 * [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
1552122446.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122446.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122446.987 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.989 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122446.990 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122446.991 * [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
1552122446.992 * [taylor]: Taking taylor expansion of 0 in k
1552122446.992 * [backup-simplify]: Simplify 0 into 0
1552122446.992 * [backup-simplify]: Simplify 0 into 0
1552122446.992 * [backup-simplify]: Simplify 0 into 0
1552122446.992 * [backup-simplify]: Simplify 0 into 0
1552122446.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122446.993 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122446.996 * [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
1552122446.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122446.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122446.997 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122446.998 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122446.999 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1552122447.001 * [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
1552122447.001 * [taylor]: Taking taylor expansion of 0 in k
1552122447.001 * [backup-simplify]: Simplify 0 into 0
1552122447.001 * [backup-simplify]: Simplify 0 into 0
1552122447.002 * [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)))))
1552122447.002 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1552122447.003 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 n)) into (* 2 (* n PI))
1552122447.003 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1552122447.003 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122447.003 * [taylor]: Taking taylor expansion of 2 in n
1552122447.003 * [backup-simplify]: Simplify 2 into 2
1552122447.003 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122447.003 * [taylor]: Taking taylor expansion of n in n
1552122447.003 * [backup-simplify]: Simplify 0 into 0
1552122447.003 * [backup-simplify]: Simplify 1 into 1
1552122447.003 * [taylor]: Taking taylor expansion of PI in n
1552122447.003 * [backup-simplify]: Simplify PI into PI
1552122447.003 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122447.003 * [taylor]: Taking taylor expansion of 2 in n
1552122447.003 * [backup-simplify]: Simplify 2 into 2
1552122447.003 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122447.003 * [taylor]: Taking taylor expansion of n in n
1552122447.003 * [backup-simplify]: Simplify 0 into 0
1552122447.003 * [backup-simplify]: Simplify 1 into 1
1552122447.003 * [taylor]: Taking taylor expansion of PI in n
1552122447.003 * [backup-simplify]: Simplify PI into PI
1552122447.004 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122447.004 * [backup-simplify]: Simplify (* 2 0) into 0
1552122447.004 * [backup-simplify]: Simplify 0 into 0
1552122447.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122447.007 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122447.007 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122447.009 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122447.010 * [backup-simplify]: Simplify 0 into 0
1552122447.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.012 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122447.012 * [backup-simplify]: Simplify 0 into 0
1552122447.013 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122447.014 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122447.014 * [backup-simplify]: Simplify 0 into 0
1552122447.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122447.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1552122447.017 * [backup-simplify]: Simplify 0 into 0
1552122447.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122447.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1552122447.021 * [backup-simplify]: Simplify 0 into 0
1552122447.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1552122447.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1552122447.026 * [backup-simplify]: Simplify 0 into 0
1552122447.026 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1552122447.027 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 (/ 1 n))) into (* 2 (/ PI n))
1552122447.027 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1552122447.027 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122447.027 * [taylor]: Taking taylor expansion of 2 in n
1552122447.027 * [backup-simplify]: Simplify 2 into 2
1552122447.027 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.027 * [taylor]: Taking taylor expansion of PI in n
1552122447.028 * [backup-simplify]: Simplify PI into PI
1552122447.028 * [taylor]: Taking taylor expansion of n in n
1552122447.028 * [backup-simplify]: Simplify 0 into 0
1552122447.028 * [backup-simplify]: Simplify 1 into 1
1552122447.028 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122447.028 * [taylor]: Taking taylor expansion of 2 in n
1552122447.028 * [backup-simplify]: Simplify 2 into 2
1552122447.028 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.029 * [taylor]: Taking taylor expansion of PI in n
1552122447.029 * [backup-simplify]: Simplify PI into PI
1552122447.029 * [taylor]: Taking taylor expansion of n in n
1552122447.029 * [backup-simplify]: Simplify 0 into 0
1552122447.029 * [backup-simplify]: Simplify 1 into 1
1552122447.029 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.030 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.031 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122447.032 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122447.032 * [backup-simplify]: Simplify 0 into 0
1552122447.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122447.035 * [backup-simplify]: Simplify 0 into 0
1552122447.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.037 * [backup-simplify]: Simplify 0 into 0
1552122447.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122447.039 * [backup-simplify]: Simplify 0 into 0
1552122447.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.042 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122447.042 * [backup-simplify]: Simplify 0 into 0
1552122447.043 * [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
1552122447.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122447.045 * [backup-simplify]: Simplify 0 into 0
1552122447.045 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1552122447.046 * [backup-simplify]: Simplify (/ (* -2 PI) (/ -1 (/ 1 (- n)))) into (* -2 (/ PI n))
1552122447.046 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1552122447.046 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122447.046 * [taylor]: Taking taylor expansion of -2 in n
1552122447.046 * [backup-simplify]: Simplify -2 into -2
1552122447.046 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.046 * [taylor]: Taking taylor expansion of PI in n
1552122447.046 * [backup-simplify]: Simplify PI into PI
1552122447.046 * [taylor]: Taking taylor expansion of n in n
1552122447.046 * [backup-simplify]: Simplify 0 into 0
1552122447.046 * [backup-simplify]: Simplify 1 into 1
1552122447.046 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.046 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122447.046 * [taylor]: Taking taylor expansion of -2 in n
1552122447.046 * [backup-simplify]: Simplify -2 into -2
1552122447.046 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.046 * [taylor]: Taking taylor expansion of PI in n
1552122447.046 * [backup-simplify]: Simplify PI into PI
1552122447.047 * [taylor]: Taking taylor expansion of n in n
1552122447.047 * [backup-simplify]: Simplify 0 into 0
1552122447.047 * [backup-simplify]: Simplify 1 into 1
1552122447.047 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.047 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122447.048 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122447.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122447.049 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122447.050 * [backup-simplify]: Simplify 0 into 0
1552122447.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122447.051 * [backup-simplify]: Simplify 0 into 0
1552122447.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.053 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.053 * [backup-simplify]: Simplify 0 into 0
1552122447.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.055 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122447.055 * [backup-simplify]: Simplify 0 into 0
1552122447.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.056 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1552122447.056 * [backup-simplify]: Simplify 0 into 0
1552122447.057 * [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
1552122447.058 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1552122447.058 * [backup-simplify]: Simplify 0 into 0
1552122447.058 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1552122447.058 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1552122447.058 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1552122447.059 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1552122447.059 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1552122447.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122447.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.059 * [taylor]: Taking taylor expansion of k in k
1552122447.059 * [backup-simplify]: Simplify 0 into 0
1552122447.059 * [backup-simplify]: Simplify 1 into 1
1552122447.059 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.059 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.060 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122447.060 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1552122447.060 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1552122447.060 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1552122447.060 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122447.060 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.060 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.060 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122447.060 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.060 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.060 * [taylor]: Taking taylor expansion of k in k
1552122447.060 * [backup-simplify]: Simplify 0 into 0
1552122447.060 * [backup-simplify]: Simplify 1 into 1
1552122447.060 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1552122447.060 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1552122447.060 * [taylor]: Taking taylor expansion of 2 in k
1552122447.060 * [backup-simplify]: Simplify 2 into 2
1552122447.060 * [taylor]: Taking taylor expansion of (* n PI) in k
1552122447.060 * [taylor]: Taking taylor expansion of n in k
1552122447.060 * [backup-simplify]: Simplify n into n
1552122447.060 * [taylor]: Taking taylor expansion of PI in k
1552122447.060 * [backup-simplify]: Simplify PI into PI
1552122447.060 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1552122447.060 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1552122447.060 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1552122447.061 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122447.061 * [backup-simplify]: Simplify (- 0) into 0
1552122447.061 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122447.061 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1552122447.061 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1552122447.061 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122447.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122447.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.061 * [taylor]: Taking taylor expansion of k in n
1552122447.062 * [backup-simplify]: Simplify k into k
1552122447.062 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.062 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122447.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122447.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122447.062 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122447.062 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122447.062 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122447.062 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122447.062 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.062 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.062 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122447.062 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.062 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.062 * [taylor]: Taking taylor expansion of k in n
1552122447.062 * [backup-simplify]: Simplify k into k
1552122447.062 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122447.062 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122447.062 * [taylor]: Taking taylor expansion of 2 in n
1552122447.062 * [backup-simplify]: Simplify 2 into 2
1552122447.062 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122447.062 * [taylor]: Taking taylor expansion of n in n
1552122447.062 * [backup-simplify]: Simplify 0 into 0
1552122447.062 * [backup-simplify]: Simplify 1 into 1
1552122447.062 * [taylor]: Taking taylor expansion of PI in n
1552122447.062 * [backup-simplify]: Simplify PI into PI
1552122447.062 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122447.063 * [backup-simplify]: Simplify (* 2 0) into 0
1552122447.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122447.064 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122447.065 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.065 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122447.065 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122447.065 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122447.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.066 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122447.067 * [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)))))
1552122447.067 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1552122447.067 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1552122447.067 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.067 * [taylor]: Taking taylor expansion of k in n
1552122447.067 * [backup-simplify]: Simplify k into k
1552122447.067 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.067 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1552122447.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122447.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1552122447.067 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1552122447.067 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1552122447.067 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1552122447.067 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1552122447.067 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.068 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.068 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1552122447.068 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.068 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.068 * [taylor]: Taking taylor expansion of k in n
1552122447.068 * [backup-simplify]: Simplify k into k
1552122447.068 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1552122447.068 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1552122447.068 * [taylor]: Taking taylor expansion of 2 in n
1552122447.068 * [backup-simplify]: Simplify 2 into 2
1552122447.068 * [taylor]: Taking taylor expansion of (* n PI) in n
1552122447.068 * [taylor]: Taking taylor expansion of n in n
1552122447.068 * [backup-simplify]: Simplify 0 into 0
1552122447.068 * [backup-simplify]: Simplify 1 into 1
1552122447.068 * [taylor]: Taking taylor expansion of PI in n
1552122447.068 * [backup-simplify]: Simplify PI into PI
1552122447.068 * [backup-simplify]: Simplify (* 0 PI) into 0
1552122447.068 * [backup-simplify]: Simplify (* 2 0) into 0
1552122447.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1552122447.070 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1552122447.071 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.071 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1552122447.071 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1552122447.071 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1552122447.072 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.072 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1552122447.073 * [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)))))
1552122447.074 * [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)))
1552122447.074 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1552122447.074 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1552122447.074 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1552122447.074 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1552122447.074 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.074 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.074 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1552122447.074 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.074 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.074 * [taylor]: Taking taylor expansion of k in k
1552122447.074 * [backup-simplify]: Simplify 0 into 0
1552122447.074 * [backup-simplify]: Simplify 1 into 1
1552122447.074 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1552122447.074 * [taylor]: Taking taylor expansion of (log n) in k
1552122447.074 * [taylor]: Taking taylor expansion of n in k
1552122447.074 * [backup-simplify]: Simplify n into n
1552122447.074 * [backup-simplify]: Simplify (log n) into (log n)
1552122447.074 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122447.074 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122447.074 * [taylor]: Taking taylor expansion of 2 in k
1552122447.074 * [backup-simplify]: Simplify 2 into 2
1552122447.074 * [taylor]: Taking taylor expansion of PI in k
1552122447.074 * [backup-simplify]: Simplify PI into PI
1552122447.074 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.075 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.075 * [backup-simplify]: Simplify (* 1/2 0) into 0
1552122447.075 * [backup-simplify]: Simplify (- 0) into 0
1552122447.076 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122447.076 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.077 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1552122447.077 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1552122447.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1552122447.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.077 * [taylor]: Taking taylor expansion of k in k
1552122447.077 * [backup-simplify]: Simplify 0 into 0
1552122447.077 * [backup-simplify]: Simplify 1 into 1
1552122447.078 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.078 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.079 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122447.079 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1552122447.079 * [backup-simplify]: Simplify 0 into 0
1552122447.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1552122447.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1552122447.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122447.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1552122447.082 * [backup-simplify]: Simplify (- 0) into 0
1552122447.082 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.083 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.084 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1552122447.085 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122447.086 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1552122447.086 * [taylor]: Taking taylor expansion of 0 in k
1552122447.086 * [backup-simplify]: Simplify 0 into 0
1552122447.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1552122447.087 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122447.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122447.089 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.090 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1552122447.091 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122447.091 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122447.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1552122447.096 * [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)))))))
1552122447.103 * [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)))))))
1552122447.104 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1552122447.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.105 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1552122447.107 * [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
1552122447.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1552122447.107 * [backup-simplify]: Simplify (- 0) into 0
1552122447.108 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.108 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.109 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122447.111 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1552122447.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1552122447.112 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1552122447.112 * [taylor]: Taking taylor expansion of 0 in k
1552122447.112 * [backup-simplify]: Simplify 0 into 0
1552122447.112 * [backup-simplify]: Simplify 0 into 0
1552122447.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1552122447.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122447.116 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1552122447.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122447.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1552122447.118 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1552122447.119 * [backup-simplify]: Simplify (- 0) into 0
1552122447.119 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1552122447.123 * [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)))))
1552122447.128 * [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))))))))
1552122447.131 * [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))))))))
1552122447.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1552122447.134 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1552122447.140 * [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
1552122447.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1552122447.142 * [backup-simplify]: Simplify (- 0) into 0
1552122447.143 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.144 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1552122447.146 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552122447.149 * [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
1552122447.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1552122447.152 * [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
1552122447.152 * [taylor]: Taking taylor expansion of 0 in k
1552122447.153 * [backup-simplify]: Simplify 0 into 0
1552122447.153 * [backup-simplify]: Simplify 0 into 0
1552122447.153 * [backup-simplify]: Simplify 0 into 0
1552122447.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122447.161 * [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
1552122447.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.168 * [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
1552122447.168 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1552122447.170 * [backup-simplify]: Simplify (- 0) into 0
1552122447.170 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1552122447.178 * [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)))))))
1552122447.193 * [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))))))))))))))
1552122447.201 * [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))))))))))))))
1552122447.215 * [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))))))))))))))))))))))
1552122447.216 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 n))) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1552122447.216 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1552122447.216 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1552122447.216 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122447.216 * [taylor]: Taking taylor expansion of k in k
1552122447.216 * [backup-simplify]: Simplify 0 into 0
1552122447.216 * [backup-simplify]: Simplify 1 into 1
1552122447.216 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122447.217 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1552122447.217 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1552122447.217 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1552122447.217 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122447.217 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.217 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122447.217 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.217 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.217 * [taylor]: Taking taylor expansion of k in k
1552122447.217 * [backup-simplify]: Simplify 0 into 0
1552122447.218 * [backup-simplify]: Simplify 1 into 1
1552122447.218 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.218 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1552122447.218 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1552122447.218 * [taylor]: Taking taylor expansion of 2 in k
1552122447.218 * [backup-simplify]: Simplify 2 into 2
1552122447.218 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122447.218 * [taylor]: Taking taylor expansion of PI in k
1552122447.218 * [backup-simplify]: Simplify PI into PI
1552122447.218 * [taylor]: Taking taylor expansion of n in k
1552122447.218 * [backup-simplify]: Simplify n into n
1552122447.218 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122447.218 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1552122447.218 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1552122447.218 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122447.219 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122447.219 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122447.219 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1552122447.219 * [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))))
1552122447.219 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122447.219 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122447.219 * [taylor]: Taking taylor expansion of k in n
1552122447.219 * [backup-simplify]: Simplify k into k
1552122447.219 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122447.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122447.219 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122447.219 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122447.219 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122447.219 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122447.219 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.219 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122447.219 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.219 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.219 * [taylor]: Taking taylor expansion of k in n
1552122447.219 * [backup-simplify]: Simplify k into k
1552122447.219 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.219 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122447.219 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122447.219 * [taylor]: Taking taylor expansion of 2 in n
1552122447.219 * [backup-simplify]: Simplify 2 into 2
1552122447.219 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.219 * [taylor]: Taking taylor expansion of PI in n
1552122447.219 * [backup-simplify]: Simplify PI into PI
1552122447.220 * [taylor]: Taking taylor expansion of n in n
1552122447.220 * [backup-simplify]: Simplify 0 into 0
1552122447.220 * [backup-simplify]: Simplify 1 into 1
1552122447.220 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.220 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.221 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.221 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122447.221 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122447.221 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122447.222 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122447.223 * [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)))
1552122447.224 * [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))))
1552122447.224 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1552122447.224 * [taylor]: Taking taylor expansion of (sqrt k) in n
1552122447.224 * [taylor]: Taking taylor expansion of k in n
1552122447.224 * [backup-simplify]: Simplify k into k
1552122447.224 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1552122447.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1552122447.225 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1552122447.225 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1552122447.225 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1552122447.225 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1552122447.225 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.225 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122447.225 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.225 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.225 * [taylor]: Taking taylor expansion of k in n
1552122447.225 * [backup-simplify]: Simplify k into k
1552122447.225 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.225 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1552122447.225 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1552122447.225 * [taylor]: Taking taylor expansion of 2 in n
1552122447.225 * [backup-simplify]: Simplify 2 into 2
1552122447.225 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.225 * [taylor]: Taking taylor expansion of PI in n
1552122447.225 * [backup-simplify]: Simplify PI into PI
1552122447.225 * [taylor]: Taking taylor expansion of n in n
1552122447.225 * [backup-simplify]: Simplify 0 into 0
1552122447.225 * [backup-simplify]: Simplify 1 into 1
1552122447.226 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.226 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.227 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122447.227 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1552122447.227 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1552122447.229 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122447.230 * [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)))
1552122447.231 * [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))))
1552122447.232 * [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))
1552122447.232 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1552122447.232 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1552122447.232 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1552122447.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1552122447.232 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.232 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122447.232 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.233 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.233 * [taylor]: Taking taylor expansion of k in k
1552122447.233 * [backup-simplify]: Simplify 0 into 0
1552122447.233 * [backup-simplify]: Simplify 1 into 1
1552122447.233 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.233 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1552122447.233 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1552122447.233 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1552122447.233 * [taylor]: Taking taylor expansion of 2 in k
1552122447.233 * [backup-simplify]: Simplify 2 into 2
1552122447.233 * [taylor]: Taking taylor expansion of PI in k
1552122447.233 * [backup-simplify]: Simplify PI into PI
1552122447.234 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1552122447.235 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1552122447.235 * [taylor]: Taking taylor expansion of (log n) in k
1552122447.235 * [taylor]: Taking taylor expansion of n in k
1552122447.235 * [backup-simplify]: Simplify n into n
1552122447.235 * [backup-simplify]: Simplify (log n) into (log n)
1552122447.235 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122447.236 * [backup-simplify]: Simplify (- 1/2) into -1/2
1552122447.236 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1552122447.236 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122447.237 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1552122447.238 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1552122447.239 * [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))))
1552122447.239 * [taylor]: Taking taylor expansion of (sqrt k) in k
1552122447.239 * [taylor]: Taking taylor expansion of k in k
1552122447.239 * [backup-simplify]: Simplify 0 into 0
1552122447.239 * [backup-simplify]: Simplify 1 into 1
1552122447.240 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1552122447.242 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1552122447.242 * [backup-simplify]: Simplify 0 into 0
1552122447.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122447.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1552122447.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1552122447.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122447.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122447.246 * [backup-simplify]: Simplify (- 0) into 0
1552122447.247 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.248 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122447.249 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1552122447.250 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122447.251 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1552122447.251 * [taylor]: Taking taylor expansion of 0 in k
1552122447.251 * [backup-simplify]: Simplify 0 into 0
1552122447.251 * [backup-simplify]: Simplify 0 into 0
1552122447.252 * [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))))))
1552122447.253 * [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))))))
1552122447.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122447.256 * [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
1552122447.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122447.256 * [backup-simplify]: Simplify (- 0) into 0
1552122447.257 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.258 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122447.258 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1552122447.260 * [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
1552122447.260 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1552122447.261 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1552122447.261 * [taylor]: Taking taylor expansion of 0 in k
1552122447.261 * [backup-simplify]: Simplify 0 into 0
1552122447.261 * [backup-simplify]: Simplify 0 into 0
1552122447.261 * [backup-simplify]: Simplify 0 into 0
1552122447.263 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122447.264 * [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))))))
1552122447.265 * [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))))))
1552122447.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.266 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1552122447.269 * [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
1552122447.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1552122447.270 * [backup-simplify]: Simplify (- 0) into 0
1552122447.271 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1552122447.273 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1552122447.274 * [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
1552122447.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1552122447.276 * [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
1552122447.276 * [taylor]: Taking taylor expansion of 0 in k
1552122447.276 * [backup-simplify]: Simplify 0 into 0
1552122447.276 * [backup-simplify]: Simplify 0 into 0
1552122447.276 * [backup-simplify]: Simplify 0 into 0
1552122447.276 * [backup-simplify]: Simplify 0 into 0
1552122447.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122447.280 * [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))))))
1552122447.280 * [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))))))
1552122447.283 * [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))))))))
1552122447.283 * [backup-simplify]: Simplify (/ (pow (/ (* -2 PI) (/ -1 (/ 1 (- n)))) (- 1/2 (* 1/2 (/ 1 (- k))))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
1552122447.283 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1552122447.283 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1552122447.283 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1552122447.283 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1552122447.283 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1552122447.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122447.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122447.283 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.283 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.283 * [taylor]: Taking taylor expansion of k in k
1552122447.283 * [backup-simplify]: Simplify 0 into 0
1552122447.283 * [backup-simplify]: Simplify 1 into 1
1552122447.284 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.284 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.284 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.284 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1552122447.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1552122447.284 * [taylor]: Taking taylor expansion of -2 in k
1552122447.284 * [backup-simplify]: Simplify -2 into -2
1552122447.284 * [taylor]: Taking taylor expansion of (/ PI n) in k
1552122447.284 * [taylor]: Taking taylor expansion of PI in k
1552122447.284 * [backup-simplify]: Simplify PI into PI
1552122447.284 * [taylor]: Taking taylor expansion of n in k
1552122447.284 * [backup-simplify]: Simplify n into n
1552122447.284 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1552122447.284 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1552122447.284 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1552122447.284 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122447.285 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122447.285 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1552122447.285 * [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)))
1552122447.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122447.285 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122447.285 * [taylor]: Taking taylor expansion of -1 in k
1552122447.285 * [backup-simplify]: Simplify -1 into -1
1552122447.285 * [taylor]: Taking taylor expansion of k in k
1552122447.285 * [backup-simplify]: Simplify 0 into 0
1552122447.285 * [backup-simplify]: Simplify 1 into 1
1552122447.285 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122447.286 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.287 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122447.287 * [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))))
1552122447.287 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122447.287 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122447.287 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122447.287 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122447.287 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122447.287 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122447.287 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.287 * [taylor]: Taking taylor expansion of k in n
1552122447.287 * [backup-simplify]: Simplify k into k
1552122447.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.287 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.287 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.288 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122447.288 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122447.288 * [taylor]: Taking taylor expansion of -2 in n
1552122447.288 * [backup-simplify]: Simplify -2 into -2
1552122447.288 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.288 * [taylor]: Taking taylor expansion of PI in n
1552122447.288 * [backup-simplify]: Simplify PI into PI
1552122447.288 * [taylor]: Taking taylor expansion of n in n
1552122447.288 * [backup-simplify]: Simplify 0 into 0
1552122447.288 * [backup-simplify]: Simplify 1 into 1
1552122447.288 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.289 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122447.290 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122447.290 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122447.290 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122447.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122447.292 * [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)))
1552122447.293 * [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))))
1552122447.293 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122447.293 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122447.293 * [taylor]: Taking taylor expansion of -1 in n
1552122447.293 * [backup-simplify]: Simplify -1 into -1
1552122447.293 * [taylor]: Taking taylor expansion of k in n
1552122447.293 * [backup-simplify]: Simplify k into k
1552122447.293 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122447.294 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122447.294 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122447.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122447.295 * [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)))
1552122447.295 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1552122447.295 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1552122447.295 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1552122447.295 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1552122447.295 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1552122447.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1552122447.295 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.295 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1552122447.295 * [taylor]: Taking taylor expansion of k in n
1552122447.295 * [backup-simplify]: Simplify k into k
1552122447.295 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1552122447.295 * [taylor]: Taking taylor expansion of 1/2 in n
1552122447.295 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.295 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1552122447.295 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1552122447.295 * [taylor]: Taking taylor expansion of -2 in n
1552122447.295 * [backup-simplify]: Simplify -2 into -2
1552122447.295 * [taylor]: Taking taylor expansion of (/ PI n) in n
1552122447.296 * [taylor]: Taking taylor expansion of PI in n
1552122447.296 * [backup-simplify]: Simplify PI into PI
1552122447.296 * [taylor]: Taking taylor expansion of n in n
1552122447.296 * [backup-simplify]: Simplify 0 into 0
1552122447.296 * [backup-simplify]: Simplify 1 into 1
1552122447.296 * [backup-simplify]: Simplify (/ PI 1) into PI
1552122447.297 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122447.297 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122447.298 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1552122447.298 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1552122447.299 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122447.300 * [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)))
1552122447.301 * [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))))
1552122447.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1552122447.301 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1552122447.301 * [taylor]: Taking taylor expansion of -1 in n
1552122447.301 * [backup-simplify]: Simplify -1 into -1
1552122447.301 * [taylor]: Taking taylor expansion of k in n
1552122447.301 * [backup-simplify]: Simplify k into k
1552122447.301 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1552122447.302 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1552122447.302 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1552122447.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1552122447.303 * [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)))
1552122447.303 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1552122447.303 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1552122447.303 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1552122447.303 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1552122447.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1552122447.303 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.303 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1552122447.303 * [taylor]: Taking taylor expansion of k in k
1552122447.303 * [backup-simplify]: Simplify 0 into 0
1552122447.303 * [backup-simplify]: Simplify 1 into 1
1552122447.304 * [backup-simplify]: Simplify (/ 1 1) into 1
1552122447.304 * [taylor]: Taking taylor expansion of 1/2 in k
1552122447.304 * [backup-simplify]: Simplify 1/2 into 1/2
1552122447.304 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1552122447.304 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1552122447.304 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1552122447.304 * [taylor]: Taking taylor expansion of -2 in k
1552122447.304 * [backup-simplify]: Simplify -2 into -2
1552122447.304 * [taylor]: Taking taylor expansion of PI in k
1552122447.304 * [backup-simplify]: Simplify PI into PI
1552122447.304 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1552122447.305 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1552122447.305 * [taylor]: Taking taylor expansion of (log n) in k
1552122447.305 * [taylor]: Taking taylor expansion of n in k
1552122447.305 * [backup-simplify]: Simplify n into n
1552122447.305 * [backup-simplify]: Simplify (log n) into (log n)
1552122447.306 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1552122447.306 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1552122447.306 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1552122447.307 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1552122447.308 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1552122447.309 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1552122447.309 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1552122447.310 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1552122447.310 * [taylor]: Taking taylor expansion of -1 in k
1552122447.310 * [backup-simplify]: Simplify -1 into -1
1552122447.310 * [taylor]: Taking taylor expansion of k in k
1552122447.310 * [backup-simplify]: Simplify 0 into 0
1552122447.310 * [backup-simplify]: Simplify 1 into 1
1552122447.310 * [backup-simplify]: Simplify (/ -1 1) into -1
1552122447.310 * [backup-simplify]: Simplify (sqrt 0) into 0
1552122447.312 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1552122447.313 * [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)))))
1552122447.314 * [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)))))
1552122447.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1552122447.315 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1552122447.316 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1552122447.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1552122447.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1552122447.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122447.323 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1552122447.325 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1552122447.325 * [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
1552122447.325 * [taylor]: Taking taylor expansion of 0 in k
1552122447.325 * [backup-simplify]: Simplify 0 into 0
1552122447.325 * [backup-simplify]: Simplify 0 into 0
1552122447.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1552122447.328 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1552122447.329 * [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))))))
1552122447.330 * [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))))))
1552122447.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.331 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1552122447.333 * [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
1552122447.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1552122447.334 * [backup-simplify]: Simplify (+ 0 0) into 0
1552122447.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1552122447.336 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1552122447.338 * [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
1552122447.338 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1552122447.338 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1552122447.339 * [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
1552122447.339 * [taylor]: Taking taylor expansion of 0 in k
1552122447.339 * [backup-simplify]: Simplify 0 into 0
1552122447.339 * [backup-simplify]: Simplify 0 into 0
1552122447.339 * [backup-simplify]: Simplify 0 into 0
1552122447.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1552122447.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1552122447.346 * [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))))))
1552122447.346 * [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))))))
1552122447.349 * [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)))))))))))
1552122447.349 * * * [progress]: simplifying candidates
1552122447.349 * * * * [progress]: [ 1 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.349 * [simplify]: Simplifying (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122447.349 * * [simplify]: iters left: 6 (14 enodes)
1552122447.355 * * [simplify]: iters left: 5 (55 enodes)
1552122447.364 * * [simplify]: iters left: 4 (97 enodes)
1552122447.382 * * [simplify]: iters left: 3 (235 enodes)
1552122447.506 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.506 * * [simplify]: Extracting #1: cost 65 inf + 0
1552122447.507 * * [simplify]: Extracting #2: cost 228 inf + 1
1552122447.509 * * [simplify]: Extracting #3: cost 253 inf + 292
1552122447.513 * * [simplify]: Extracting #4: cost 200 inf + 9172
1552122447.533 * * [simplify]: Extracting #5: cost 58 inf + 44552
1552122447.551 * * [simplify]: Extracting #6: cost 0 inf + 62962
1552122447.563 * * [simplify]: Extracting #7: cost 0 inf + 62802
1552122447.576 * [simplify]: Simplified to (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))
1552122447.576 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))
1552122447.577 * * * * [progress]: [ 2 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.577 * [simplify]: Simplifying (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122447.577 * * [simplify]: iters left: 6 (13 enodes)
1552122447.582 * * [simplify]: iters left: 5 (51 enodes)
1552122447.591 * * [simplify]: iters left: 4 (101 enodes)
1552122447.608 * * [simplify]: iters left: 3 (228 enodes)
1552122447.673 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.673 * * [simplify]: Extracting #1: cost 40 inf + 0
1552122447.674 * * [simplify]: Extracting #2: cost 157 inf + 1
1552122447.675 * * [simplify]: Extracting #3: cost 213 inf + 75
1552122447.678 * * [simplify]: Extracting #4: cost 166 inf + 7049
1552122447.689 * * [simplify]: Extracting #5: cost 21 inf + 31531
1552122447.707 * * [simplify]: Extracting #6: cost 0 inf + 35718
1552122447.721 * * [simplify]: Extracting #7: cost 0 inf + 35676
1552122447.732 * [simplify]: Simplified to (* (- 1/2 (* k 1/2)) (log (* PI (* 2 n))))
1552122447.732 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log (* PI (* 2 n))))) (sqrt k)))
1552122447.732 * * * * [progress]: [ 3 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.732 * * * * [progress]: [ 4 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (* 1 (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.732 * [simplify]: Simplifying (/ (* -2 PI) (/ -1 n))
1552122447.732 * * [simplify]: iters left: 4 (7 enodes)
1552122447.736 * * [simplify]: iters left: 3 (26 enodes)
1552122447.740 * * [simplify]: iters left: 2 (44 enodes)
1552122447.748 * * [simplify]: iters left: 1 (76 enodes)
1552122447.760 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.760 * * [simplify]: Extracting #1: cost 24 inf + 0
1552122447.760 * * [simplify]: Extracting #2: cost 27 inf + 132
1552122447.760 * * [simplify]: Extracting #3: cost 1 inf + 1593
1552122447.761 * * [simplify]: Extracting #4: cost 0 inf + 1676
1552122447.761 * [simplify]: Simplified to (/ (* PI n) 1/2)
1552122447.761 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (/ (* PI n) 1/2) (* 1 (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122447.761 * * * * [progress]: [ 5 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k))) (sqrt k)))>
1552122447.762 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k))
1552122447.762 * * [simplify]: iters left: 5 (11 enodes)
1552122447.765 * * [simplify]: iters left: 4 (39 enodes)
1552122447.772 * * [simplify]: iters left: 3 (56 enodes)
1552122447.781 * * [simplify]: iters left: 2 (86 enodes)
1552122447.797 * * [simplify]: iters left: 1 (116 enodes)
1552122447.814 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.814 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122447.814 * * [simplify]: Extracting #2: cost 32 inf + 0
1552122447.815 * * [simplify]: Extracting #3: cost 35 inf + 175
1552122447.815 * * [simplify]: Extracting #4: cost 6 inf + 1844
1552122447.817 * * [simplify]: Extracting #5: cost 0 inf + 2680
1552122447.818 * [simplify]: Simplified to (pow (* n (/ PI 1/2)) (* 1/2 k))
1552122447.818 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* n (/ PI 1/2)) (* 1/2 k))) (sqrt k)))
1552122447.818 * * * * [progress]: [ 6 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.818 * [simplify]: Simplifying (cbrt (- 1/2 (* 1/2 k)))
1552122447.818 * * [simplify]: iters left: 5 (5 enodes)
1552122447.821 * * [simplify]: iters left: 4 (18 enodes)
1552122447.826 * * [simplify]: iters left: 3 (28 enodes)
1552122447.834 * * [simplify]: iters left: 2 (35 enodes)
1552122447.842 * * [simplify]: iters left: 1 (43 enodes)
1552122447.854 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.854 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122447.854 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122447.855 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122447.855 * * [simplify]: Extracting #4: cost 9 inf + 129
1552122447.855 * * [simplify]: Extracting #5: cost 2 inf + 502
1552122447.855 * * [simplify]: Extracting #6: cost 0 inf + 826
1552122447.856 * [simplify]: Simplified to (cbrt (- 1/2 (* 1/2 k)))
1552122447.856 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (* (cbrt (- 1/2 (* 1/2 k))) (cbrt (- 1/2 (* 1/2 k))))) (cbrt (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122447.856 * * * * [progress]: [ 7 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122447.856 * [simplify]: Simplifying (sqrt (- 1/2 (* 1/2 k)))
1552122447.856 * * [simplify]: iters left: 5 (5 enodes)
1552122447.859 * * [simplify]: iters left: 4 (18 enodes)
1552122447.865 * * [simplify]: iters left: 3 (28 enodes)
1552122447.872 * * [simplify]: iters left: 2 (35 enodes)
1552122447.880 * * [simplify]: iters left: 1 (43 enodes)
1552122447.892 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.892 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122447.892 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122447.893 * * [simplify]: Extracting #3: cost 14 inf + 1
1552122447.893 * * [simplify]: Extracting #4: cost 9 inf + 129
1552122447.893 * * [simplify]: Extracting #5: cost 2 inf + 502
1552122447.893 * * [simplify]: Extracting #6: cost 0 inf + 746
1552122447.894 * [simplify]: Simplified to (sqrt (- 1/2 (* 1/2 k)))
1552122447.894 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (sqrt (- 1/2 (* 1/2 k)))) (sqrt (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122447.894 * * * * [progress]: [ 8 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122447.894 * [simplify]: Simplifying (- 1/2 (* 1/2 k))
1552122447.894 * * [simplify]: iters left: 4 (4 enodes)
1552122447.896 * * [simplify]: iters left: 3 (15 enodes)
1552122447.901 * * [simplify]: iters left: 2 (25 enodes)
1552122447.908 * * [simplify]: iters left: 1 (32 enodes)
1552122447.916 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.916 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122447.916 * * [simplify]: Extracting #2: cost 12 inf + 1
1552122447.916 * * [simplify]: Extracting #3: cost 9 inf + 45
1552122447.916 * * [simplify]: Extracting #4: cost 2 inf + 418
1552122447.916 * * [simplify]: Extracting #5: cost 0 inf + 582
1552122447.917 * [simplify]: Simplified to (- 1/2 (* 1/2 k))
1552122447.917 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122447.917 * * * * [progress]: [ 9 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))) (sqrt k)))>
1552122447.917 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))
1552122447.917 * * [simplify]: iters left: 5 (12 enodes)
1552122447.921 * * [simplify]: iters left: 4 (47 enodes)
1552122447.929 * * [simplify]: iters left: 3 (70 enodes)
1552122447.940 * * [simplify]: iters left: 2 (100 enodes)
1552122447.956 * * [simplify]: iters left: 1 (130 enodes)
1552122447.985 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122447.985 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122447.986 * * [simplify]: Extracting #2: cost 35 inf + 0
1552122447.986 * * [simplify]: Extracting #3: cost 35 inf + 385
1552122447.987 * * [simplify]: Extracting #4: cost 9 inf + 1722
1552122447.988 * * [simplify]: Extracting #5: cost 1 inf + 2514
1552122447.989 * * [simplify]: Extracting #6: cost 0 inf + 2849
1552122447.990 * [simplify]: Simplified to (pow (* (* n 2) PI) (* -1/2 k))
1552122447.991 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* (* n 2) PI) (* -1/2 k))) (sqrt k)))
1552122447.991 * * * * [progress]: [ 10 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))) (sqrt k)))>
1552122447.991 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k)))
1552122447.991 * * [simplify]: iters left: 5 (12 enodes)
1552122447.997 * * [simplify]: iters left: 4 (47 enodes)
1552122448.010 * * [simplify]: iters left: 3 (70 enodes)
1552122448.030 * * [simplify]: iters left: 2 (100 enodes)
1552122448.046 * * [simplify]: iters left: 1 (130 enodes)
1552122448.082 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.082 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.082 * * [simplify]: Extracting #2: cost 35 inf + 0
1552122448.082 * * [simplify]: Extracting #3: cost 35 inf + 385
1552122448.083 * * [simplify]: Extracting #4: cost 9 inf + 1722
1552122448.084 * * [simplify]: Extracting #5: cost 1 inf + 2514
1552122448.085 * * [simplify]: Extracting #6: cost 0 inf + 2849
1552122448.087 * [simplify]: Simplified to (pow (* (* n 2) PI) (* -1/2 k))
1552122448.087 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (/ (* -2 PI) (/ -1 n)) 1/2) (pow (* (* n 2) PI) (* -1/2 k))) (sqrt k)))
1552122448.087 * * * * [progress]: [ 11 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.088 * [simplify]: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k)))
1552122448.088 * * [simplify]: iters left: 6 (14 enodes)
1552122448.094 * * [simplify]: iters left: 5 (50 enodes)
1552122448.111 * * [simplify]: iters left: 4 (77 enodes)
1552122448.124 * * [simplify]: iters left: 3 (114 enodes)
1552122448.145 * * [simplify]: iters left: 2 (152 enodes)
1552122448.170 * * [simplify]: iters left: 1 (186 enodes)
1552122448.195 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.195 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.195 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122448.195 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122448.195 * * [simplify]: Extracting #4: cost 37 inf + 88
1552122448.196 * * [simplify]: Extracting #5: cost 39 inf + 509
1552122448.196 * * [simplify]: Extracting #6: cost 11 inf + 2293
1552122448.197 * * [simplify]: Extracting #7: cost 0 inf + 3982
1552122448.198 * [simplify]: Simplified to (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k)))
1552122448.198 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.198 * * * * [progress]: [ 12 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.198 * [simplify]: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122448.199 * * [simplify]: iters left: 6 (13 enodes)
1552122448.202 * * [simplify]: iters left: 5 (47 enodes)
1552122448.214 * * [simplify]: iters left: 4 (74 enodes)
1552122448.236 * * [simplify]: iters left: 3 (111 enodes)
1552122448.268 * * [simplify]: iters left: 2 (149 enodes)
1552122448.312 * * [simplify]: iters left: 1 (183 enodes)
1552122448.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.351 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.351 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122448.351 * * [simplify]: Extracting #3: cost 39 inf + 1
1552122448.351 * * [simplify]: Extracting #4: cost 41 inf + 261
1552122448.352 * * [simplify]: Extracting #5: cost 9 inf + 2011
1552122448.353 * * [simplify]: Extracting #6: cost 1 inf + 2923
1552122448.353 * * [simplify]: Extracting #7: cost 0 inf + 3338
1552122448.354 * [simplify]: Simplified to (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2)))
1552122448.354 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.355 * * * * [progress]: [ 13 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.355 * [simplify]: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k)))
1552122448.355 * * [simplify]: iters left: 6 (12 enodes)
1552122448.358 * * [simplify]: iters left: 5 (41 enodes)
1552122448.365 * * [simplify]: iters left: 4 (53 enodes)
1552122448.376 * * [simplify]: iters left: 3 (60 enodes)
1552122448.393 * * [simplify]: iters left: 2 (68 enodes)
1552122448.414 * * [simplify]: iters left: 1 (77 enodes)
1552122448.432 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.432 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.432 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122448.432 * * [simplify]: Extracting #3: cost 23 inf + 2
1552122448.433 * * [simplify]: Extracting #4: cost 19 inf + 214
1552122448.433 * * [simplify]: Extracting #5: cost 12 inf + 505
1552122448.434 * * [simplify]: Extracting #6: cost 6 inf + 1198
1552122448.434 * * [simplify]: Extracting #7: cost 1 inf + 2384
1552122448.435 * * [simplify]: Extracting #8: cost 0 inf + 2879
1552122448.436 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122448.436 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.436 * * * * [progress]: [ 14 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.437 * [simplify]: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122448.437 * * [simplify]: iters left: 6 (11 enodes)
1552122448.442 * * [simplify]: iters left: 5 (36 enodes)
1552122448.454 * * [simplify]: iters left: 4 (46 enodes)
1552122448.465 * * [simplify]: iters left: 3 (53 enodes)
1552122448.475 * * [simplify]: iters left: 2 (61 enodes)
1552122448.485 * * [simplify]: iters left: 1 (70 enodes)
1552122448.496 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.496 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.497 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122448.497 * * [simplify]: Extracting #3: cost 19 inf + 2
1552122448.497 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122448.497 * * [simplify]: Extracting #5: cost 11 inf + 340
1552122448.497 * * [simplify]: Extracting #6: cost 4 inf + 794
1552122448.498 * * [simplify]: Extracting #7: cost 0 inf + 1829
1552122448.499 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2)))
1552122448.499 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.499 * * * * [progress]: [ 15 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 1) (- 1/2 (* 1/2 k))) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.499 * [simplify]: Simplifying (pow (/ -2 1) (- 1/2 (* 1/2 k)))
1552122448.499 * * [simplify]: iters left: 5 (8 enodes)
1552122448.504 * * [simplify]: iters left: 4 (27 enodes)
1552122448.509 * * [simplify]: iters left: 3 (39 enodes)
1552122448.515 * * [simplify]: iters left: 2 (45 enodes)
1552122448.521 * * [simplify]: iters left: 1 (49 enodes)
1552122448.529 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.529 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.529 * * [simplify]: Extracting #2: cost 8 inf + 1
1552122448.529 * * [simplify]: Extracting #3: cost 14 inf + 2
1552122448.529 * * [simplify]: Extracting #4: cost 9 inf + 130
1552122448.529 * * [simplify]: Extracting #5: cost 1 inf + 796
1552122448.530 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122448.530 * [simplify]: Simplified to (pow -2 (- 1/2 (* 1/2 k)))
1552122448.530 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow -2 (- 1/2 (* 1/2 k))) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.530 * * * * [progress]: [ 16 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.530 * [simplify]: Simplifying (pow (/ -2 -1) (- 1/2 (* 1/2 k)))
1552122448.530 * * [simplify]: iters left: 5 (8 enodes)
1552122448.533 * * [simplify]: iters left: 4 (28 enodes)
1552122448.542 * * [simplify]: iters left: 3 (38 enodes)
1552122448.554 * * [simplify]: iters left: 2 (45 enodes)
1552122448.567 * * [simplify]: iters left: 1 (53 enodes)
1552122448.587 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.587 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.587 * * [simplify]: Extracting #2: cost 8 inf + 1
1552122448.587 * * [simplify]: Extracting #3: cost 14 inf + 2
1552122448.587 * * [simplify]: Extracting #4: cost 9 inf + 130
1552122448.588 * * [simplify]: Extracting #5: cost 2 inf + 754
1552122448.588 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122448.589 * [simplify]: Simplified to (pow 2 (- 1/2 (* 1/2 k)))
1552122448.589 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (- 1/2 (* 1/2 k))) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.589 * * * * [progress]: [ 17 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow 1 (- 1/2 (* 1/2 k))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.589 * [simplify]: Simplifying (pow 1 (- 1/2 (* 1/2 k)))
1552122448.589 * * [simplify]: iters left: 5 (6 enodes)
1552122448.591 * * [simplify]: iters left: 4 (21 enodes)
1552122448.595 * * [simplify]: iters left: 3 (33 enodes)
1552122448.600 * * [simplify]: iters left: 2 (39 enodes)
1552122448.606 * * [simplify]: iters left: 1 (43 enodes)
1552122448.612 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.612 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122448.612 * [simplify]: Simplified to 1
1552122448.613 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.613 * * * * [progress]: [ 18 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.613 * [simplify]: Simplifying (pow (* -2 PI) (- 1/2 (* 1/2 k)))
1552122448.613 * * [simplify]: iters left: 5 (8 enodes)
1552122448.615 * * [simplify]: iters left: 4 (28 enodes)
1552122448.621 * * [simplify]: iters left: 3 (38 enodes)
1552122448.627 * * [simplify]: iters left: 2 (45 enodes)
1552122448.633 * * [simplify]: iters left: 1 (53 enodes)
1552122448.649 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.649 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.649 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122448.649 * * [simplify]: Extracting #3: cost 16 inf + 3
1552122448.649 * * [simplify]: Extracting #4: cost 9 inf + 215
1552122448.649 * * [simplify]: Extracting #5: cost 2 inf + 880
1552122448.650 * * [simplify]: Extracting #6: cost 0 inf + 1256
1552122448.650 * [simplify]: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k)))
1552122448.651 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.651 * * * * [progress]: [ 19 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.651 * [simplify]: Simplifying (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k)))
1552122448.651 * * [simplify]: iters left: 5 (10 enodes)
1552122448.656 * * [simplify]: iters left: 4 (36 enodes)
1552122448.668 * * [simplify]: iters left: 3 (53 enodes)
1552122448.683 * * [simplify]: iters left: 2 (62 enodes)
1552122448.704 * * [simplify]: iters left: 1 (70 enodes)
1552122448.723 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.724 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.724 * * [simplify]: Extracting #2: cost 16 inf + 0
1552122448.724 * * [simplify]: Extracting #3: cost 20 inf + 5
1552122448.724 * * [simplify]: Extracting #4: cost 4 inf + 967
1552122448.725 * * [simplify]: Extracting #5: cost 0 inf + 1426
1552122448.725 * [simplify]: Simplified to (pow (* 2 PI) (- 1/2 (* 1/2 k)))
1552122448.725 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))
1552122448.726 * * * * [progress]: [ 20 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 21 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 22 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 23 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 24 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 25 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 26 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 27 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 28 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (/ (* -2 PI) (/ -1 n)) 1) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.726 * * * * [progress]: [ 29 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.726 * [simplify]: Simplifying (- (log (* -2 PI)) (log (/ -1 n)))
1552122448.726 * * [simplify]: iters left: 5 (9 enodes)
1552122448.731 * * [simplify]: iters left: 4 (36 enodes)
1552122448.741 * * [simplify]: iters left: 3 (56 enodes)
1552122448.750 * * [simplify]: iters left: 2 (82 enodes)
1552122448.762 * * [simplify]: iters left: 1 (118 enodes)
1552122448.784 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.784 * * [simplify]: Extracting #1: cost 31 inf + 0
1552122448.784 * * [simplify]: Extracting #2: cost 57 inf + 0
1552122448.784 * * [simplify]: Extracting #3: cost 46 inf + 927
1552122448.785 * * [simplify]: Extracting #4: cost 7 inf + 7743
1552122448.787 * * [simplify]: Extracting #5: cost 0 inf + 9000
1552122448.789 * [simplify]: Simplified to (- (log (* -2 PI)) (log (/ -1 n)))
1552122448.789 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (exp (- (log (* -2 PI)) (log (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122448.789 * * * * [progress]: [ 30 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.789 * * * * [progress]: [ 31 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.789 * * * * [progress]: [ 32 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.789 * [simplify]: Simplifying (/ (* (* (* -2 PI) (* -2 PI)) (* -2 PI)) (* (* (/ -1 n) (/ -1 n)) (/ -1 n)))
1552122448.789 * * [simplify]: iters left: 6 (11 enodes)
1552122448.795 * * [simplify]: iters left: 5 (55 enodes)
1552122448.810 * * [simplify]: iters left: 4 (191 enodes)
1552122448.906 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.906 * * [simplify]: Extracting #1: cost 95 inf + 0
1552122448.907 * * [simplify]: Extracting #2: cost 263 inf + 1355
1552122448.913 * * [simplify]: Extracting #3: cost 99 inf + 30272
1552122448.925 * * [simplify]: Extracting #4: cost 0 inf + 46172
1552122448.946 * * [simplify]: Extracting #5: cost 0 inf + 44288
1552122448.968 * * [simplify]: Extracting #6: cost 0 inf + 43722
1552122448.983 * [simplify]: Simplified to (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))
1552122448.983 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (cbrt (* (* (* n (/ PI 1/2)) (* n (/ PI 1/2))) (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122448.984 * * * * [progress]: [ 33 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.984 * * * * [progress]: [ 34 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (/ (* -2 PI) (/ -1 n)) (/ (* -2 PI) (/ -1 n))) (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.984 * * * * [progress]: [ 35 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (/ (* -2 PI) (/ -1 n))) (sqrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.984 * * * * [progress]: [ 36 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (- (* -2 PI)) (- (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.984 * * * * [progress]: [ 37 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122448.984 * [simplify]: Simplifying (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n))))
1552122448.984 * * [simplify]: iters left: 6 (7 enodes)
1552122448.986 * * [simplify]: iters left: 5 (23 enodes)
1552122448.990 * * [simplify]: iters left: 4 (25 enodes)
1552122448.993 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.994 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122448.994 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122448.994 * * [simplify]: Extracting #3: cost 12 inf + 1
1552122448.994 * * [simplify]: Extracting #4: cost 8 inf + 87
1552122448.994 * * [simplify]: Extracting #5: cost 4 inf + 656
1552122448.994 * * [simplify]: Extracting #6: cost 1 inf + 1184
1552122448.994 * * [simplify]: Extracting #7: cost 0 inf + 1387
1552122448.994 * [simplify]: Simplified to (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n)))
1552122448.994 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (/ PI (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122448.995 * [simplify]: Simplifying (/ PI (cbrt (/ -1 n)))
1552122448.995 * * [simplify]: iters left: 5 (6 enodes)
1552122448.996 * * [simplify]: iters left: 4 (18 enodes)
1552122448.999 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122448.999 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122448.999 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122448.999 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122448.999 * * [simplify]: Extracting #4: cost 0 inf + 657
1552122448.999 * [simplify]: Simplified to (/ PI (cbrt (/ -1 n)))
1552122448.999 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (/ PI (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122448.999 * * * * [progress]: [ 38 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.000 * [simplify]: Simplifying (/ -2 (sqrt (/ -1 n)))
1552122449.000 * * [simplify]: iters left: 5 (6 enodes)
1552122449.002 * * [simplify]: iters left: 4 (18 enodes)
1552122449.008 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.008 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122449.008 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122449.008 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122449.008 * * [simplify]: Extracting #4: cost 0 inf + 497
1552122449.008 * [simplify]: Simplified to (/ -2 (sqrt (/ -1 n)))
1552122449.008 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.009 * [simplify]: Simplifying (/ PI (sqrt (/ -1 n)))
1552122449.009 * * [simplify]: iters left: 5 (6 enodes)
1552122449.012 * * [simplify]: iters left: 4 (18 enodes)
1552122449.016 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.016 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122449.016 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122449.016 * * [simplify]: Extracting #3: cost 8 inf + 1
1552122449.017 * * [simplify]: Extracting #4: cost 0 inf + 497
1552122449.017 * [simplify]: Simplified to (/ PI (sqrt (/ -1 n)))
1552122449.017 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* (/ -2 (sqrt (/ -1 n))) (/ PI (sqrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.017 * * * * [progress]: [ 39 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 1) (/ PI (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.017 * [simplify]: Simplifying (/ -2 1)
1552122449.017 * * [simplify]: iters left: 2 (3 enodes)
1552122449.020 * * [simplify]: iters left: 1 (9 enodes)
1552122449.023 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.023 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122449.024 * [simplify]: Simplified to -2
1552122449.024 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.024 * [simplify]: Simplifying (/ PI (/ -1 n))
1552122449.024 * * [simplify]: iters left: 4 (5 enodes)
1552122449.027 * * [simplify]: iters left: 3 (17 enodes)
1552122449.032 * * [simplify]: iters left: 2 (22 enodes)
1552122449.039 * * [simplify]: iters left: 1 (26 enodes)
1552122449.045 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.046 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122449.046 * * [simplify]: Extracting #2: cost 8 inf + 3
1552122449.046 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122449.046 * [simplify]: Simplified to (/ PI (/ -1 n))
1552122449.046 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* -2 (/ PI (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.046 * * * * [progress]: [ 40 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ -2 -1) (/ PI (/ 1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.047 * [simplify]: Simplifying (/ -2 -1)
1552122449.047 * * [simplify]: iters left: 2 (3 enodes)
1552122449.049 * * [simplify]: iters left: 1 (10 enodes)
1552122449.053 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.053 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122449.053 * [simplify]: Simplified to 2
1552122449.053 * [simplify]: Simplified (2 1 1 1) to (λ (k n) (/ (pow (* 2 (/ PI (/ 1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.053 * [simplify]: Simplifying (/ PI (/ 1 n))
1552122449.053 * * [simplify]: iters left: 4 (5 enodes)
1552122449.056 * * [simplify]: iters left: 3 (19 enodes)
1552122449.059 * * [simplify]: iters left: 2 (21 enodes)
1552122449.062 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.062 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122449.063 * * [simplify]: Extracting #2: cost 5 inf + 2
1552122449.063 * * [simplify]: Extracting #3: cost 0 inf + 171
1552122449.063 * [simplify]: Simplified to (* PI n)
1552122449.063 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.063 * * * * [progress]: [ 41 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.063 * * * * [progress]: [ 42 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* -2 PI) (/ 1 (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.063 * * * * [progress]: [ 43 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (/ (/ -1 n) (* -2 PI))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.063 * * * * [progress]: [ 44 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.063 * [simplify]: Simplifying (cbrt (/ -1 n))
1552122449.063 * * [simplify]: iters left: 3 (4 enodes)
1552122449.064 * * [simplify]: iters left: 2 (12 enodes)
1552122449.066 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.066 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122449.066 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122449.066 * * [simplify]: Extracting #3: cost 4 inf + 2
1552122449.066 * * [simplify]: Extracting #4: cost 0 inf + 330
1552122449.066 * [simplify]: Simplified to (cbrt (/ -1 n))
1552122449.066 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.067 * * * * [progress]: [ 45 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.067 * [simplify]: Simplifying (sqrt (/ -1 n))
1552122449.067 * * [simplify]: iters left: 3 (4 enodes)
1552122449.068 * * [simplify]: iters left: 2 (12 enodes)
1552122449.070 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.070 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122449.070 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122449.070 * * [simplify]: Extracting #3: cost 4 inf + 2
1552122449.070 * * [simplify]: Extracting #4: cost 0 inf + 250
1552122449.070 * [simplify]: Simplified to (sqrt (/ -1 n))
1552122449.070 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) (sqrt (/ -1 n))) (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.070 * * * * [progress]: [ 46 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.070 * [simplify]: Simplifying (/ -1 n)
1552122449.070 * * [simplify]: iters left: 2 (3 enodes)
1552122449.071 * * [simplify]: iters left: 1 (9 enodes)
1552122449.072 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.072 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122449.072 * * [simplify]: Extracting #2: cost 2 inf + 2
1552122449.072 * * [simplify]: Extracting #3: cost 0 inf + 86
1552122449.072 * [simplify]: Simplified to (/ -1 n)
1552122449.072 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) 1) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.073 * * * * [progress]: [ 47 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.073 * [simplify]: Simplifying (/ 1 n)
1552122449.073 * * [simplify]: iters left: 2 (3 enodes)
1552122449.074 * * [simplify]: iters left: 1 (11 enodes)
1552122449.076 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.076 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122449.076 * * [simplify]: Extracting #2: cost 2 inf + 2
1552122449.076 * * [simplify]: Extracting #3: cost 0 inf + 86
1552122449.076 * [simplify]: Simplified to (/ 1 n)
1552122449.076 * [simplify]: Simplified (2 1 1 2) to (λ (k n) (/ (pow (/ (/ (* -2 PI) -1) (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122449.076 * * * * [progress]: [ 48 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (/ (/ -1 n) PI)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.076 * * * * [progress]: [ 49 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (/ (* -2 PI) -1) n) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.076 * * * * [progress]: [ 50 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122449.076 * * * * [progress]: [ 51 / 135 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) 1))>
1552122449.076 * * * * [progress]: [ 52 / 135 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))))>
1552122449.076 * [simplify]: Simplifying (- (* (- (log (* -2 PI)) (log (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))
1552122449.076 * * [simplify]: iters left: 6 (17 enodes)
1552122449.081 * * [simplify]: iters left: 5 (66 enodes)
1552122449.095 * * [simplify]: iters left: 4 (111 enodes)
1552122449.132 * * [simplify]: iters left: 3 (273 enodes)
1552122449.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.274 * * [simplify]: Extracting #1: cost 63 inf + 0
1552122449.274 * * [simplify]: Extracting #2: cost 246 inf + 0
1552122449.276 * * [simplify]: Extracting #3: cost 316 inf + 279
1552122449.277 * * [simplify]: Extracting #4: cost 287 inf + 4267
1552122449.282 * * [simplify]: Extracting #5: cost 191 inf + 25860
1552122449.296 * * [simplify]: Extracting #6: cost 31 inf + 82710
1552122449.314 * * [simplify]: Extracting #7: cost 0 inf + 95859
1552122449.347 * [simplify]: Simplified to (- (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k)))
1552122449.348 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))) (log (sqrt k)))))
1552122449.348 * * * * [progress]: [ 53 / 135 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))))>
1552122449.348 * [simplify]: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))
1552122449.348 * * [simplify]: iters left: 6 (16 enodes)
1552122449.356 * * [simplify]: iters left: 5 (62 enodes)
1552122449.381 * * [simplify]: iters left: 4 (115 enodes)
1552122449.410 * * [simplify]: iters left: 3 (254 enodes)
1552122449.491 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.491 * * [simplify]: Extracting #1: cost 31 inf + 0
1552122449.491 * * [simplify]: Extracting #2: cost 135 inf + 0
1552122449.492 * * [simplify]: Extracting #3: cost 219 inf + 3
1552122449.493 * * [simplify]: Extracting #4: cost 243 inf + 902
1552122449.495 * * [simplify]: Extracting #5: cost 165 inf + 14433
1552122449.502 * * [simplify]: Extracting #6: cost 43 inf + 40082
1552122449.511 * * [simplify]: Extracting #7: cost 1 inf + 48778
1552122449.528 * * [simplify]: Extracting #8: cost 0 inf + 49313
1552122449.542 * [simplify]: Simplified to (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552122449.542 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552122449.542 * * * * [progress]: [ 54 / 135 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))))>
1552122449.543 * [simplify]: Simplifying (- (* (log (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (log (sqrt k)))
1552122449.543 * * [simplify]: iters left: 6 (16 enodes)
1552122449.550 * * [simplify]: iters left: 5 (62 enodes)
1552122449.561 * * [simplify]: iters left: 4 (115 enodes)
1552122449.593 * * [simplify]: iters left: 3 (254 enodes)
1552122449.678 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122449.678 * * [simplify]: Extracting #1: cost 31 inf + 0
1552122449.679 * * [simplify]: Extracting #2: cost 135 inf + 0
1552122449.679 * * [simplify]: Extracting #3: cost 219 inf + 3
1552122449.680 * * [simplify]: Extracting #4: cost 243 inf + 902
1552122449.683 * * [simplify]: Extracting #5: cost 165 inf + 14433
1552122449.690 * * [simplify]: Extracting #6: cost 43 inf + 40082
1552122449.701 * * [simplify]: Extracting #7: cost 1 inf + 48778
1552122449.718 * * [simplify]: Extracting #8: cost 0 inf + 49313
1552122449.734 * [simplify]: Simplified to (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k)))
1552122449.734 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (* k 1/2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1552122449.735 * * * * [progress]: [ 55 / 135 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (log (sqrt k)))))>
1552122449.735 * [simplify]: Simplifying (- (log (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (log (sqrt k)))
1552122449.735 * * [simplify]: iters left: 6 (16 enodes)
1552122449.739 * * [simplify]: iters left: 5 (60 enodes)
1552122449.749 * * [simplify]: iters left: 4 (102 enodes)
1552122449.777 * * [simplify]: iters left: 3 (189 enodes)
1552122449.844 * * [simplify]: iters left: 2 (449 enodes)
1552122450.097 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122450.097 * * [simplify]: Extracting #1: cost 84 inf + 0
1552122450.098 * * [simplify]: Extracting #2: cost 364 inf + 0
1552122450.100 * * [simplify]: Extracting #3: cost 451 inf + 321
1552122450.102 * * [simplify]: Extracting #4: cost 455 inf + 5094
1552122450.111 * * [simplify]: Extracting #5: cost 298 inf + 36347
1552122450.143 * * [simplify]: Extracting #6: cost 69 inf + 92738
1552122450.180 * * [simplify]: Extracting #7: cost 1 inf + 115112
1552122450.209 * * [simplify]: Extracting #8: cost 0 inf + 115578
1552122450.256 * [simplify]: Simplified to (- (* (log (* n (/ PI 1/2))) (- 1/2 (* 1/2 k))) (log (sqrt k)))
1552122450.256 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* n (/ PI 1/2))) (- 1/2 (* 1/2 k))) (log (sqrt k)))))
1552122450.257 * * * * [progress]: [ 56 / 135 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122450.257 * * * * [progress]: [ 57 / 135 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122450.257 * * * * [progress]: [ 58 / 135 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1552122450.257 * [simplify]: Simplifying (/ (* (* (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1552122450.257 * * [simplify]: iters left: 6 (18 enodes)
1552122450.267 * * [simplify]: iters left: 5 (69 enodes)
1552122450.289 * * [simplify]: iters left: 4 (135 enodes)
1552122450.334 * * [simplify]: iters left: 3 (232 enodes)
1552122450.368 * * [simplify]: iters left: 2 (308 enodes)
1552122450.416 * * [simplify]: iters left: 1 (364 enodes)
1552122450.473 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122450.473 * * [simplify]: Extracting #1: cost 23 inf + 0
1552122450.473 * * [simplify]: Extracting #2: cost 45 inf + 1
1552122450.473 * * [simplify]: Extracting #3: cost 68 inf + 165
1552122450.473 * * [simplify]: Extracting #4: cost 78 inf + 420
1552122450.476 * * [simplify]: Extracting #5: cost 44 inf + 2174
1552122450.479 * * [simplify]: Extracting #6: cost 13 inf + 14122
1552122450.485 * * [simplify]: Extracting #7: cost 0 inf + 20437
1552122450.493 * [simplify]: Simplified to (/ (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))))) (* (sqrt k) k))
1552122450.494 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (* (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))) (pow (* (* 2 PI) n) (- 1/2 (* 1/2 k))))) (* (sqrt k) k))))
1552122450.494 * * * * [progress]: [ 59 / 135 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))) (cbrt (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122450.494 * * * * [progress]: [ 60 / 135 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122450.494 * * * * [progress]: [ 61 / 135 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))) (sqrt (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122450.494 * * * * [progress]: [ 62 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (- (sqrt k))))>
1552122450.494 * * * * [progress]: [ 63 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))))>
1552122450.494 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122450.495 * * [simplify]: iters left: 6 (14 enodes)
1552122450.503 * * [simplify]: iters left: 5 (50 enodes)
1552122450.518 * * [simplify]: iters left: 4 (69 enodes)
1552122450.538 * * [simplify]: iters left: 3 (99 enodes)
1552122450.564 * * [simplify]: iters left: 2 (129 enodes)
1552122450.581 * * [simplify]: iters left: 1 (154 enodes)
1552122450.609 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122450.609 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122450.609 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122450.609 * * [simplify]: Extracting #3: cost 36 inf + 1
1552122450.609 * * [simplify]: Extracting #4: cost 41 inf + 175
1552122450.610 * * [simplify]: Extracting #5: cost 11 inf + 2156
1552122450.610 * * [simplify]: Extracting #6: cost 1 inf + 3586
1552122450.612 * * [simplify]: Extracting #7: cost 0 inf + 3870
1552122450.612 * [simplify]: Simplified to (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122450.612 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))))
1552122450.613 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))
1552122450.613 * * [simplify]: iters left: 6 (15 enodes)
1552122450.617 * * [simplify]: iters left: 5 (56 enodes)
1552122450.625 * * [simplify]: iters left: 4 (79 enodes)
1552122450.637 * * [simplify]: iters left: 3 (109 enodes)
1552122450.665 * * [simplify]: iters left: 2 (139 enodes)
1552122450.707 * * [simplify]: iters left: 1 (163 enodes)
1552122450.746 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122450.746 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122450.746 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122450.747 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122450.747 * * [simplify]: Extracting #4: cost 40 inf + 379
1552122450.748 * * [simplify]: Extracting #5: cost 10 inf + 2003
1552122450.749 * * [simplify]: Extracting #6: cost 0 inf + 3997
1552122450.751 * [simplify]: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k)))
1552122450.751 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k)))))
1552122450.751 * * * * [progress]: [ 64 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))))>
1552122450.751 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k)))
1552122450.752 * * [simplify]: iters left: 6 (13 enodes)
1552122450.757 * * [simplify]: iters left: 5 (45 enodes)
1552122450.772 * * [simplify]: iters left: 4 (62 enodes)
1552122450.792 * * [simplify]: iters left: 3 (92 enodes)
1552122450.818 * * [simplify]: iters left: 2 (122 enodes)
1552122450.854 * * [simplify]: iters left: 1 (146 enodes)
1552122450.884 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122450.884 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122450.884 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122450.884 * * [simplify]: Extracting #3: cost 32 inf + 1
1552122450.885 * * [simplify]: Extracting #4: cost 34 inf + 383
1552122450.885 * * [simplify]: Extracting #5: cost 8 inf + 1879
1552122450.886 * * [simplify]: Extracting #6: cost 0 inf + 2740
1552122450.887 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1552122450.887 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))))
1552122450.887 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))
1552122450.887 * * [simplify]: iters left: 6 (15 enodes)
1552122450.891 * * [simplify]: iters left: 5 (56 enodes)
1552122450.901 * * [simplify]: iters left: 4 (79 enodes)
1552122450.913 * * [simplify]: iters left: 3 (109 enodes)
1552122450.940 * * [simplify]: iters left: 2 (139 enodes)
1552122450.973 * * [simplify]: iters left: 1 (163 enodes)
1552122451.011 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.011 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.011 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.011 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122451.011 * * [simplify]: Extracting #4: cost 40 inf + 339
1552122451.012 * * [simplify]: Extracting #5: cost 10 inf + 1923
1552122451.014 * * [simplify]: Extracting #6: cost 0 inf + 3837
1552122451.016 * [simplify]: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k)))
1552122451.016 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k)))))
1552122451.016 * * * * [progress]: [ 65 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))))>
1552122451.017 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1)
1552122451.017 * * [simplify]: iters left: 6 (11 enodes)
1552122451.023 * * [simplify]: iters left: 5 (39 enodes)
1552122451.034 * * [simplify]: iters left: 4 (60 enodes)
1552122451.051 * * [simplify]: iters left: 3 (90 enodes)
1552122451.080 * * [simplify]: iters left: 2 (120 enodes)
1552122451.103 * * [simplify]: iters left: 1 (145 enodes)
1552122451.122 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.122 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122451.122 * * [simplify]: Extracting #2: cost 25 inf + 2
1552122451.122 * * [simplify]: Extracting #3: cost 29 inf + 300
1552122451.123 * * [simplify]: Extracting #4: cost 3 inf + 1882
1552122451.123 * * [simplify]: Extracting #5: cost 0 inf + 2008
1552122451.124 * [simplify]: Simplified to (sqrt (* 2 (* PI n)))
1552122451.124 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))))
1552122451.125 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))
1552122451.125 * * [simplify]: iters left: 6 (14 enodes)
1552122451.129 * * [simplify]: iters left: 5 (53 enodes)
1552122451.141 * * [simplify]: iters left: 4 (76 enodes)
1552122451.155 * * [simplify]: iters left: 3 (106 enodes)
1552122451.171 * * [simplify]: iters left: 2 (136 enodes)
1552122451.189 * * [simplify]: iters left: 1 (161 enodes)
1552122451.209 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.209 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.209 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.210 * * [simplify]: Extracting #3: cost 33 inf + 83
1552122451.210 * * [simplify]: Extracting #4: cost 37 inf + 341
1552122451.210 * * [simplify]: Extracting #5: cost 9 inf + 1803
1552122451.211 * * [simplify]: Extracting #6: cost 1 inf + 3180
1552122451.212 * * [simplify]: Extracting #7: cost 0 inf + 3595
1552122451.213 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k))
1552122451.213 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k))))
1552122451.213 * * * * [progress]: [ 66 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))))>
1552122451.213 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122451.213 * * [simplify]: iters left: 6 (14 enodes)
1552122451.217 * * [simplify]: iters left: 5 (50 enodes)
1552122451.232 * * [simplify]: iters left: 4 (69 enodes)
1552122451.257 * * [simplify]: iters left: 3 (99 enodes)
1552122451.271 * * [simplify]: iters left: 2 (129 enodes)
1552122451.290 * * [simplify]: iters left: 1 (154 enodes)
1552122451.325 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.325 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122451.325 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122451.325 * * [simplify]: Extracting #3: cost 36 inf + 1
1552122451.325 * * [simplify]: Extracting #4: cost 41 inf + 175
1552122451.326 * * [simplify]: Extracting #5: cost 11 inf + 2156
1552122451.327 * * [simplify]: Extracting #6: cost 1 inf + 3586
1552122451.328 * * [simplify]: Extracting #7: cost 0 inf + 3870
1552122451.329 * [simplify]: Simplified to (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122451.329 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))))
1552122451.329 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (cbrt (sqrt k)))
1552122451.329 * * [simplify]: iters left: 6 (15 enodes)
1552122451.333 * * [simplify]: iters left: 5 (56 enodes)
1552122451.345 * * [simplify]: iters left: 4 (79 enodes)
1552122451.359 * * [simplify]: iters left: 3 (109 enodes)
1552122451.388 * * [simplify]: iters left: 2 (139 enodes)
1552122451.411 * * [simplify]: iters left: 1 (163 enodes)
1552122451.436 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.436 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.436 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.436 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122451.437 * * [simplify]: Extracting #4: cost 40 inf + 379
1552122451.437 * * [simplify]: Extracting #5: cost 10 inf + 2003
1552122451.438 * * [simplify]: Extracting #6: cost 0 inf + 3997
1552122451.439 * [simplify]: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k)))
1552122451.439 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n (/ PI 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (cbrt (sqrt k)))))
1552122451.439 * * * * [progress]: [ 67 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))))>
1552122451.439 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (sqrt (sqrt k)))
1552122451.439 * * [simplify]: iters left: 6 (13 enodes)
1552122451.444 * * [simplify]: iters left: 5 (45 enodes)
1552122451.458 * * [simplify]: iters left: 4 (62 enodes)
1552122451.476 * * [simplify]: iters left: 3 (92 enodes)
1552122451.502 * * [simplify]: iters left: 2 (122 enodes)
1552122451.534 * * [simplify]: iters left: 1 (146 enodes)
1552122451.576 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.576 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.576 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.576 * * [simplify]: Extracting #3: cost 32 inf + 1
1552122451.577 * * [simplify]: Extracting #4: cost 34 inf + 383
1552122451.577 * * [simplify]: Extracting #5: cost 8 inf + 1879
1552122451.578 * * [simplify]: Extracting #6: cost 0 inf + 2740
1552122451.579 * [simplify]: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1552122451.579 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))))
1552122451.579 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt (sqrt k)))
1552122451.579 * * [simplify]: iters left: 6 (15 enodes)
1552122451.583 * * [simplify]: iters left: 5 (56 enodes)
1552122451.592 * * [simplify]: iters left: 4 (79 enodes)
1552122451.603 * * [simplify]: iters left: 3 (109 enodes)
1552122451.618 * * [simplify]: iters left: 2 (139 enodes)
1552122451.654 * * [simplify]: iters left: 1 (163 enodes)
1552122451.697 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.697 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.697 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.697 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122451.698 * * [simplify]: Extracting #4: cost 40 inf + 339
1552122451.699 * * [simplify]: Extracting #5: cost 10 inf + 1923
1552122451.700 * * [simplify]: Extracting #6: cost 0 inf + 3837
1552122451.702 * [simplify]: Simplified to (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k)))
1552122451.702 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1/2 n)) (* k -1/2)) (sqrt (sqrt k)))))
1552122451.702 * * * * [progress]: [ 68 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))))>
1552122451.702 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) 1)
1552122451.702 * * [simplify]: iters left: 6 (11 enodes)
1552122451.708 * * [simplify]: iters left: 5 (39 enodes)
1552122451.717 * * [simplify]: iters left: 4 (60 enodes)
1552122451.727 * * [simplify]: iters left: 3 (90 enodes)
1552122451.740 * * [simplify]: iters left: 2 (120 enodes)
1552122451.756 * * [simplify]: iters left: 1 (145 enodes)
1552122451.783 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.783 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122451.783 * * [simplify]: Extracting #2: cost 25 inf + 2
1552122451.784 * * [simplify]: Extracting #3: cost 29 inf + 300
1552122451.784 * * [simplify]: Extracting #4: cost 3 inf + 1882
1552122451.785 * * [simplify]: Extracting #5: cost 0 inf + 2008
1552122451.786 * [simplify]: Simplified to (sqrt (* 2 (* PI n)))
1552122451.786 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))))
1552122451.786 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))) (sqrt k))
1552122451.786 * * [simplify]: iters left: 6 (14 enodes)
1552122451.790 * * [simplify]: iters left: 5 (53 enodes)
1552122451.798 * * [simplify]: iters left: 4 (76 enodes)
1552122451.820 * * [simplify]: iters left: 3 (106 enodes)
1552122451.849 * * [simplify]: iters left: 2 (136 enodes)
1552122451.887 * * [simplify]: iters left: 1 (161 enodes)
1552122451.925 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122451.925 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122451.926 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122451.926 * * [simplify]: Extracting #3: cost 33 inf + 83
1552122451.926 * * [simplify]: Extracting #4: cost 37 inf + 341
1552122451.926 * * [simplify]: Extracting #5: cost 9 inf + 1803
1552122451.927 * * [simplify]: Extracting #6: cost 1 inf + 3180
1552122451.928 * * [simplify]: Extracting #7: cost 0 inf + 3595
1552122451.929 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k))
1552122451.929 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 (* PI n))) (/ (pow (* (* PI n) 2) (* -1/2 k)) (sqrt k))))
1552122451.929 * * * * [progress]: [ 69 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122451.929 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122451.929 * * [simplify]: iters left: 6 (18 enodes)
1552122451.934 * * [simplify]: iters left: 5 (64 enodes)
1552122451.952 * * [simplify]: iters left: 4 (93 enodes)
1552122451.980 * * [simplify]: iters left: 3 (130 enodes)
1552122452.015 * * [simplify]: iters left: 2 (168 enodes)
1552122452.039 * * [simplify]: iters left: 1 (202 enodes)
1552122452.084 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.084 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122452.084 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122452.084 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122452.084 * * [simplify]: Extracting #4: cost 28 inf + 2
1552122452.084 * * [simplify]: Extracting #5: cost 39 inf + 739
1552122452.085 * * [simplify]: Extracting #6: cost 39 inf + 1362
1552122452.085 * * [simplify]: Extracting #7: cost 11 inf + 3269
1552122452.086 * * [simplify]: Extracting #8: cost 4 inf + 4828
1552122452.088 * * [simplify]: Extracting #9: cost 0 inf + 7324
1552122452.089 * [simplify]: Simplified to (/ (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122452.089 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (/ PI (/ 1/2 n))) (cbrt (/ PI (/ 1/2 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122452.089 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122452.089 * * [simplify]: iters left: 6 (16 enodes)
1552122452.093 * * [simplify]: iters left: 5 (56 enodes)
1552122452.105 * * [simplify]: iters left: 4 (83 enodes)
1552122452.124 * * [simplify]: iters left: 3 (120 enodes)
1552122452.158 * * [simplify]: iters left: 2 (158 enodes)
1552122452.200 * * [simplify]: iters left: 1 (191 enodes)
1552122452.231 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.231 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122452.231 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122452.231 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122452.231 * * [simplify]: Extracting #4: cost 43 inf + 43
1552122452.231 * * [simplify]: Extracting #5: cost 39 inf + 832
1552122452.232 * * [simplify]: Extracting #6: cost 10 inf + 2578
1552122452.233 * * [simplify]: Extracting #7: cost 1 inf + 4437
1552122452.234 * * [simplify]: Extracting #8: cost 0 inf + 5052
1552122452.235 * [simplify]: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
1552122452.235 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))
1552122452.235 * * * * [progress]: [ 70 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122452.236 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122452.236 * * [simplify]: iters left: 6 (17 enodes)
1552122452.240 * * [simplify]: iters left: 5 (59 enodes)
1552122452.250 * * [simplify]: iters left: 4 (86 enodes)
1552122452.263 * * [simplify]: iters left: 3 (123 enodes)
1552122452.281 * * [simplify]: iters left: 2 (161 enodes)
1552122452.310 * * [simplify]: iters left: 1 (194 enodes)
1552122452.358 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.358 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122452.359 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122452.359 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122452.359 * * [simplify]: Extracting #4: cost 20 inf + 207
1552122452.359 * * [simplify]: Extracting #5: cost 36 inf + 497
1552122452.360 * * [simplify]: Extracting #6: cost 38 inf + 877
1552122452.361 * * [simplify]: Extracting #7: cost 12 inf + 2497
1552122452.363 * * [simplify]: Extracting #8: cost 1 inf + 4840
1552122452.365 * * [simplify]: Extracting #9: cost 0 inf + 5454
1552122452.367 * [simplify]: Simplified to (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122452.368 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122452.368 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122452.368 * * [simplify]: iters left: 6 (16 enodes)
1552122452.376 * * [simplify]: iters left: 5 (56 enodes)
1552122452.392 * * [simplify]: iters left: 4 (83 enodes)
1552122452.404 * * [simplify]: iters left: 3 (120 enodes)
1552122452.427 * * [simplify]: iters left: 2 (158 enodes)
1552122452.471 * * [simplify]: iters left: 1 (191 enodes)
1552122452.520 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.520 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122452.520 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122452.520 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122452.520 * * [simplify]: Extracting #4: cost 43 inf + 43
1552122452.521 * * [simplify]: Extracting #5: cost 39 inf + 752
1552122452.522 * * [simplify]: Extracting #6: cost 10 inf + 2498
1552122452.524 * * [simplify]: Extracting #7: cost 1 inf + 4317
1552122452.526 * * [simplify]: Extracting #8: cost 0 inf + 4892
1552122452.529 * [simplify]: Simplified to (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122452.529 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (cbrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))
1552122452.529 * * * * [progress]: [ 71 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122452.529 * [simplify]: Simplifying (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1)
1552122452.529 * * [simplify]: iters left: 6 (16 enodes)
1552122452.538 * * [simplify]: iters left: 5 (56 enodes)
1552122452.560 * * [simplify]: iters left: 4 (85 enodes)
1552122452.573 * * [simplify]: iters left: 3 (121 enodes)
1552122452.590 * * [simplify]: iters left: 2 (155 enodes)
1552122452.631 * * [simplify]: iters left: 1 (187 enodes)
1552122452.660 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.660 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122452.661 * * [simplify]: Extracting #2: cost 11 inf + 1
1552122452.661 * * [simplify]: Extracting #3: cost 18 inf + 2
1552122452.661 * * [simplify]: Extracting #4: cost 36 inf + 129
1552122452.661 * * [simplify]: Extracting #5: cost 36 inf + 634
1552122452.662 * * [simplify]: Extracting #6: cost 9 inf + 2295
1552122452.663 * * [simplify]: Extracting #7: cost 0 inf + 3982
1552122452.664 * [simplify]: Simplified to (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k)))
1552122452.664 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* (cbrt (* n (/ PI 1/2))) (cbrt (* n (/ PI 1/2)))) (- 1/2 (* 1/2 k))) (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122452.664 * [simplify]: Simplifying (/ (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))
1552122452.664 * * [simplify]: iters left: 6 (15 enodes)
1552122452.668 * * [simplify]: iters left: 5 (53 enodes)
1552122452.676 * * [simplify]: iters left: 4 (80 enodes)
1552122452.688 * * [simplify]: iters left: 3 (117 enodes)
1552122452.704 * * [simplify]: iters left: 2 (155 enodes)
1552122452.743 * * [simplify]: iters left: 1 (189 enodes)
1552122452.792 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.792 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122452.792 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122452.793 * * [simplify]: Extracting #3: cost 14 inf + 42
1552122452.793 * * [simplify]: Extracting #4: cost 38 inf + 208
1552122452.793 * * [simplify]: Extracting #5: cost 37 inf + 754
1552122452.795 * * [simplify]: Extracting #6: cost 12 inf + 2090
1552122452.797 * * [simplify]: Extracting #7: cost 1 inf + 4112
1552122452.799 * * [simplify]: Extracting #8: cost 0 inf + 4646
1552122452.801 * [simplify]: Simplified to (/ (pow (cbrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k))
1552122452.801 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) (/ (pow (cbrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k))))
1552122452.802 * * * * [progress]: [ 72 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122452.802 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122452.802 * * [simplify]: iters left: 6 (17 enodes)
1552122452.811 * * [simplify]: iters left: 5 (61 enodes)
1552122452.830 * * [simplify]: iters left: 4 (90 enodes)
1552122452.857 * * [simplify]: iters left: 3 (127 enodes)
1552122452.893 * * [simplify]: iters left: 2 (165 enodes)
1552122452.916 * * [simplify]: iters left: 1 (199 enodes)
1552122452.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122452.961 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122452.961 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122452.961 * * [simplify]: Extracting #3: cost 22 inf + 0
1552122452.962 * * [simplify]: Extracting #4: cost 46 inf + 85
1552122452.962 * * [simplify]: Extracting #5: cost 41 inf + 995
1552122452.964 * * [simplify]: Extracting #6: cost 11 inf + 2822
1552122452.966 * * [simplify]: Extracting #7: cost 2 inf + 5130
1552122452.968 * * [simplify]: Extracting #8: cost 0 inf + 6358
1552122452.971 * [simplify]: Simplified to (/ (pow (sqrt (* PI (/ n 1/2))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122452.971 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* PI (/ n 1/2))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122452.971 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122452.971 * * [simplify]: iters left: 6 (16 enodes)
1552122452.979 * * [simplify]: iters left: 5 (56 enodes)
1552122453.001 * * [simplify]: iters left: 4 (83 enodes)
1552122453.024 * * [simplify]: iters left: 3 (120 enodes)
1552122453.041 * * [simplify]: iters left: 2 (158 enodes)
1552122453.063 * * [simplify]: iters left: 1 (191 enodes)
1552122453.090 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.090 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.090 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.090 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122453.090 * * [simplify]: Extracting #4: cost 43 inf + 43
1552122453.090 * * [simplify]: Extracting #5: cost 39 inf + 832
1552122453.091 * * [simplify]: Extracting #6: cost 10 inf + 2498
1552122453.092 * * [simplify]: Extracting #7: cost 1 inf + 4237
1552122453.093 * * [simplify]: Extracting #8: cost 0 inf + 4812
1552122453.094 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
1552122453.094 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))
1552122453.094 * * * * [progress]: [ 73 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122453.095 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122453.095 * * [simplify]: iters left: 6 (16 enodes)
1552122453.099 * * [simplify]: iters left: 5 (56 enodes)
1552122453.109 * * [simplify]: iters left: 4 (83 enodes)
1552122453.124 * * [simplify]: iters left: 3 (120 enodes)
1552122453.151 * * [simplify]: iters left: 2 (158 enodes)
1552122453.177 * * [simplify]: iters left: 1 (191 enodes)
1552122453.212 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.212 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.212 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.212 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122453.212 * * [simplify]: Extracting #4: cost 43 inf + 43
1552122453.212 * * [simplify]: Extracting #5: cost 39 inf + 752
1552122453.213 * * [simplify]: Extracting #6: cost 10 inf + 2418
1552122453.214 * * [simplify]: Extracting #7: cost 1 inf + 4117
1552122453.215 * * [simplify]: Extracting #8: cost 0 inf + 4652
1552122453.216 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122453.216 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122453.216 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122453.216 * * [simplify]: iters left: 6 (16 enodes)
1552122453.220 * * [simplify]: iters left: 5 (56 enodes)
1552122453.229 * * [simplify]: iters left: 4 (83 enodes)
1552122453.249 * * [simplify]: iters left: 3 (120 enodes)
1552122453.292 * * [simplify]: iters left: 2 (158 enodes)
1552122453.332 * * [simplify]: iters left: 1 (191 enodes)
1552122453.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.357 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.357 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.357 * * [simplify]: Extracting #3: cost 18 inf + 0
1552122453.357 * * [simplify]: Extracting #4: cost 43 inf + 43
1552122453.357 * * [simplify]: Extracting #5: cost 39 inf + 752
1552122453.358 * * [simplify]: Extracting #6: cost 10 inf + 2418
1552122453.360 * * [simplify]: Extracting #7: cost 1 inf + 4117
1552122453.362 * * [simplify]: Extracting #8: cost 0 inf + 4652
1552122453.364 * [simplify]: Simplified to (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122453.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (sqrt (* (* PI n) 2)) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))
1552122453.364 * * * * [progress]: [ 74 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122453.365 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1)
1552122453.365 * * [simplify]: iters left: 6 (15 enodes)
1552122453.372 * * [simplify]: iters left: 5 (53 enodes)
1552122453.384 * * [simplify]: iters left: 4 (82 enodes)
1552122453.397 * * [simplify]: iters left: 3 (118 enodes)
1552122453.418 * * [simplify]: iters left: 2 (152 enodes)
1552122453.450 * * [simplify]: iters left: 1 (184 enodes)
1552122453.479 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.480 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122453.480 * * [simplify]: Extracting #2: cost 11 inf + 1
1552122453.480 * * [simplify]: Extracting #3: cost 38 inf + 2
1552122453.480 * * [simplify]: Extracting #4: cost 40 inf + 303
1552122453.481 * * [simplify]: Extracting #5: cost 9 inf + 2051
1552122453.483 * * [simplify]: Extracting #6: cost 1 inf + 2923
1552122453.485 * * [simplify]: Extracting #7: cost 0 inf + 3338
1552122453.487 * [simplify]: Simplified to (pow (sqrt (* n (* 2 PI))) (- 1/2 (* k 1/2)))
1552122453.487 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (sqrt (* n (* 2 PI))) (- 1/2 (* k 1/2))) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122453.487 * [simplify]: Simplifying (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))
1552122453.487 * * [simplify]: iters left: 6 (15 enodes)
1552122453.495 * * [simplify]: iters left: 5 (53 enodes)
1552122453.512 * * [simplify]: iters left: 4 (80 enodes)
1552122453.538 * * [simplify]: iters left: 3 (117 enodes)
1552122453.570 * * [simplify]: iters left: 2 (155 enodes)
1552122453.617 * * [simplify]: iters left: 1 (189 enodes)
1552122453.643 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.643 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.643 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.643 * * [simplify]: Extracting #3: cost 14 inf + 42
1552122453.643 * * [simplify]: Extracting #4: cost 38 inf + 208
1552122453.643 * * [simplify]: Extracting #5: cost 37 inf + 754
1552122453.644 * * [simplify]: Extracting #6: cost 12 inf + 2050
1552122453.645 * * [simplify]: Extracting #7: cost 1 inf + 3912
1552122453.646 * * [simplify]: Extracting #8: cost 0 inf + 4406
1552122453.647 * [simplify]: Simplified to (/ (pow (sqrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k))
1552122453.647 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (sqrt (/ (* PI n) 1/2)) (- 1/2 (* k 1/2))) (sqrt k))))
1552122453.647 * * * * [progress]: [ 75 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122453.647 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122453.647 * * [simplify]: iters left: 6 (16 enodes)
1552122453.653 * * [simplify]: iters left: 5 (55 enodes)
1552122453.669 * * [simplify]: iters left: 4 (69 enodes)
1552122453.689 * * [simplify]: iters left: 3 (76 enodes)
1552122453.710 * * [simplify]: iters left: 2 (84 enodes)
1552122453.725 * * [simplify]: iters left: 1 (93 enodes)
1552122453.737 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.737 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122453.737 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122453.737 * * [simplify]: Extracting #3: cost 25 inf + 0
1552122453.737 * * [simplify]: Extracting #4: cost 28 inf + 248
1552122453.737 * * [simplify]: Extracting #5: cost 22 inf + 982
1552122453.738 * * [simplify]: Extracting #6: cost 16 inf + 1151
1552122453.738 * * [simplify]: Extracting #7: cost 9 inf + 1967
1552122453.740 * * [simplify]: Extracting #8: cost 2 inf + 4915
1552122453.741 * * [simplify]: Extracting #9: cost 1 inf + 5570
1552122453.743 * * [simplify]: Extracting #10: cost 0 inf + 6225
1552122453.745 * [simplify]: Simplified to (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122453.745 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122453.745 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122453.745 * * [simplify]: iters left: 6 (14 enodes)
1552122453.752 * * [simplify]: iters left: 5 (45 enodes)
1552122453.765 * * [simplify]: iters left: 4 (55 enodes)
1552122453.779 * * [simplify]: iters left: 3 (62 enodes)
1552122453.788 * * [simplify]: iters left: 2 (70 enodes)
1552122453.799 * * [simplify]: iters left: 1 (79 enodes)
1552122453.810 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.810 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.810 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.810 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122453.810 * * [simplify]: Extracting #4: cost 23 inf + 44
1552122453.811 * * [simplify]: Extracting #5: cost 20 inf + 373
1552122453.811 * * [simplify]: Extracting #6: cost 10 inf + 829
1552122453.811 * * [simplify]: Extracting #7: cost 5 inf + 1361
1552122453.812 * * [simplify]: Extracting #8: cost 1 inf + 3008
1552122453.812 * * [simplify]: Extracting #9: cost 0 inf + 3623
1552122453.813 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
1552122453.813 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))
1552122453.813 * * * * [progress]: [ 76 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122453.813 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122453.813 * * [simplify]: iters left: 6 (15 enodes)
1552122453.821 * * [simplify]: iters left: 5 (50 enodes)
1552122453.836 * * [simplify]: iters left: 4 (62 enodes)
1552122453.854 * * [simplify]: iters left: 3 (69 enodes)
1552122453.873 * * [simplify]: iters left: 2 (77 enodes)
1552122453.895 * * [simplify]: iters left: 1 (86 enodes)
1552122453.911 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.911 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.911 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.911 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122453.912 * * [simplify]: Extracting #4: cost 26 inf + 86
1552122453.912 * * [simplify]: Extracting #5: cost 20 inf + 541
1552122453.912 * * [simplify]: Extracting #6: cost 15 inf + 707
1552122453.912 * * [simplify]: Extracting #7: cost 9 inf + 1239
1552122453.913 * * [simplify]: Extracting #8: cost 3 inf + 2960
1552122453.913 * * [simplify]: Extracting #9: cost 0 inf + 4353
1552122453.914 * [simplify]: Simplified to (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122453.914 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122453.914 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122453.914 * * [simplify]: iters left: 6 (14 enodes)
1552122453.917 * * [simplify]: iters left: 5 (45 enodes)
1552122453.924 * * [simplify]: iters left: 4 (55 enodes)
1552122453.932 * * [simplify]: iters left: 3 (62 enodes)
1552122453.943 * * [simplify]: iters left: 2 (70 enodes)
1552122453.962 * * [simplify]: iters left: 1 (79 enodes)
1552122453.976 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122453.976 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122453.976 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122453.976 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122453.976 * * [simplify]: Extracting #4: cost 23 inf + 44
1552122453.976 * * [simplify]: Extracting #5: cost 20 inf + 333
1552122453.977 * * [simplify]: Extracting #6: cost 10 inf + 749
1552122453.977 * * [simplify]: Extracting #7: cost 5 inf + 1281
1552122453.978 * * [simplify]: Extracting #8: cost 1 inf + 2888
1552122453.978 * * [simplify]: Extracting #9: cost 0 inf + 3463
1552122453.979 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122453.979 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))
1552122453.979 * * * * [progress]: [ 77 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122453.979 * [simplify]: Simplifying (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) 1)
1552122453.979 * * [simplify]: iters left: 6 (14 enodes)
1552122453.983 * * [simplify]: iters left: 5 (47 enodes)
1552122453.990 * * [simplify]: iters left: 4 (61 enodes)
1552122454.000 * * [simplify]: iters left: 3 (67 enodes)
1552122454.016 * * [simplify]: iters left: 2 (71 enodes)
1552122454.027 * * [simplify]: iters left: 1 (78 enodes)
1552122454.040 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.040 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122454.040 * * [simplify]: Extracting #2: cost 14 inf + 1
1552122454.040 * * [simplify]: Extracting #3: cost 22 inf + 3
1552122454.040 * * [simplify]: Extracting #4: cost 23 inf + 47
1552122454.040 * * [simplify]: Extracting #5: cost 12 inf + 505
1552122454.040 * * [simplify]: Extracting #6: cost 7 inf + 1036
1552122454.041 * * [simplify]: Extracting #7: cost 1 inf + 2384
1552122454.041 * * [simplify]: Extracting #8: cost 0 inf + 2879
1552122454.042 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122454.042 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122454.042 * [simplify]: Simplifying (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))
1552122454.042 * * [simplify]: iters left: 6 (13 enodes)
1552122454.045 * * [simplify]: iters left: 5 (42 enodes)
1552122454.058 * * [simplify]: iters left: 4 (52 enodes)
1552122454.073 * * [simplify]: iters left: 3 (59 enodes)
1552122454.089 * * [simplify]: iters left: 2 (67 enodes)
1552122454.109 * * [simplify]: iters left: 1 (76 enodes)
1552122454.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.123 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.123 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.123 * * [simplify]: Extracting #3: cost 16 inf + 1
1552122454.123 * * [simplify]: Extracting #4: cost 18 inf + 250
1552122454.123 * * [simplify]: Extracting #5: cost 15 inf + 500
1552122454.123 * * [simplify]: Extracting #6: cost 10 inf + 587
1552122454.124 * * [simplify]: Extracting #7: cost 6 inf + 956
1552122454.124 * * [simplify]: Extracting #8: cost 2 inf + 2231
1552122454.124 * * [simplify]: Extracting #9: cost 0 inf + 3221
1552122454.125 * [simplify]: Simplified to (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k))
1552122454.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k))))
1552122454.125 * * * * [progress]: [ 78 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122454.125 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122454.125 * * [simplify]: iters left: 6 (15 enodes)
1552122454.129 * * [simplify]: iters left: 5 (50 enodes)
1552122454.137 * * [simplify]: iters left: 4 (62 enodes)
1552122454.148 * * [simplify]: iters left: 3 (69 enodes)
1552122454.172 * * [simplify]: iters left: 2 (77 enodes)
1552122454.195 * * [simplify]: iters left: 1 (86 enodes)
1552122454.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.215 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122454.215 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122454.215 * * [simplify]: Extracting #3: cost 23 inf + 0
1552122454.215 * * [simplify]: Extracting #4: cost 28 inf + 3
1552122454.215 * * [simplify]: Extracting #5: cost 19 inf + 781
1552122454.216 * * [simplify]: Extracting #6: cost 13 inf + 1109
1552122454.216 * * [simplify]: Extracting #7: cost 7 inf + 1522
1552122454.216 * * [simplify]: Extracting #8: cost 1 inf + 4280
1552122454.217 * * [simplify]: Extracting #9: cost 0 inf + 4855
1552122454.218 * [simplify]: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122454.218 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122454.218 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122454.218 * * [simplify]: iters left: 6 (14 enodes)
1552122454.221 * * [simplify]: iters left: 5 (45 enodes)
1552122454.228 * * [simplify]: iters left: 4 (55 enodes)
1552122454.237 * * [simplify]: iters left: 3 (62 enodes)
1552122454.249 * * [simplify]: iters left: 2 (70 enodes)
1552122454.269 * * [simplify]: iters left: 1 (79 enodes)
1552122454.292 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.292 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.292 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.292 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122454.292 * * [simplify]: Extracting #4: cost 23 inf + 44
1552122454.292 * * [simplify]: Extracting #5: cost 20 inf + 373
1552122454.293 * * [simplify]: Extracting #6: cost 10 inf + 829
1552122454.293 * * [simplify]: Extracting #7: cost 5 inf + 1241
1552122454.294 * * [simplify]: Extracting #8: cost 1 inf + 2728
1552122454.295 * * [simplify]: Extracting #9: cost 0 inf + 3303
1552122454.296 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
1552122454.296 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))
1552122454.296 * * * * [progress]: [ 79 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122454.297 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.297 * * [simplify]: iters left: 6 (14 enodes)
1552122454.304 * * [simplify]: iters left: 5 (45 enodes)
1552122454.318 * * [simplify]: iters left: 4 (55 enodes)
1552122454.333 * * [simplify]: iters left: 3 (62 enodes)
1552122454.348 * * [simplify]: iters left: 2 (70 enodes)
1552122454.371 * * [simplify]: iters left: 1 (79 enodes)
1552122454.390 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.390 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.390 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.390 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122454.391 * * [simplify]: Extracting #4: cost 23 inf + 44
1552122454.391 * * [simplify]: Extracting #5: cost 20 inf + 333
1552122454.391 * * [simplify]: Extracting #6: cost 10 inf + 749
1552122454.392 * * [simplify]: Extracting #7: cost 5 inf + 1161
1552122454.393 * * [simplify]: Extracting #8: cost 1 inf + 2608
1552122454.394 * * [simplify]: Extracting #9: cost 0 inf + 3143
1552122454.395 * [simplify]: Simplified to (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122454.395 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122454.395 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.396 * * [simplify]: iters left: 6 (14 enodes)
1552122454.402 * * [simplify]: iters left: 5 (45 enodes)
1552122454.416 * * [simplify]: iters left: 4 (55 enodes)
1552122454.431 * * [simplify]: iters left: 3 (62 enodes)
1552122454.452 * * [simplify]: iters left: 2 (70 enodes)
1552122454.468 * * [simplify]: iters left: 1 (79 enodes)
1552122454.478 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.478 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.478 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.478 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122454.478 * * [simplify]: Extracting #4: cost 23 inf + 44
1552122454.478 * * [simplify]: Extracting #5: cost 20 inf + 333
1552122454.478 * * [simplify]: Extracting #6: cost 10 inf + 749
1552122454.479 * * [simplify]: Extracting #7: cost 5 inf + 1161
1552122454.479 * * [simplify]: Extracting #8: cost 1 inf + 2608
1552122454.479 * * [simplify]: Extracting #9: cost 0 inf + 3143
1552122454.480 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122454.480 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))
1552122454.480 * * * * [progress]: [ 80 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122454.480 * [simplify]: Simplifying (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1)
1552122454.481 * * [simplify]: iters left: 6 (13 enodes)
1552122454.484 * * [simplify]: iters left: 5 (42 enodes)
1552122454.491 * * [simplify]: iters left: 4 (54 enodes)
1552122454.499 * * [simplify]: iters left: 3 (60 enodes)
1552122454.509 * * [simplify]: iters left: 2 (64 enodes)
1552122454.528 * * [simplify]: iters left: 1 (71 enodes)
1552122454.543 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.543 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122454.543 * * [simplify]: Extracting #2: cost 12 inf + 1
1552122454.543 * * [simplify]: Extracting #3: cost 18 inf + 3
1552122454.543 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122454.544 * * [simplify]: Extracting #5: cost 11 inf + 339
1552122454.544 * * [simplify]: Extracting #6: cost 4 inf + 794
1552122454.545 * * [simplify]: Extracting #7: cost 1 inf + 1414
1552122454.545 * * [simplify]: Extracting #8: cost 0 inf + 1829
1552122454.546 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2)))
1552122454.546 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122454.546 * [simplify]: Simplifying (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (sqrt k))
1552122454.546 * * [simplify]: iters left: 6 (13 enodes)
1552122454.555 * * [simplify]: iters left: 5 (42 enodes)
1552122454.567 * * [simplify]: iters left: 4 (52 enodes)
1552122454.579 * * [simplify]: iters left: 3 (59 enodes)
1552122454.587 * * [simplify]: iters left: 2 (67 enodes)
1552122454.597 * * [simplify]: iters left: 1 (76 enodes)
1552122454.606 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.606 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.607 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.607 * * [simplify]: Extracting #3: cost 16 inf + 1
1552122454.607 * * [simplify]: Extracting #4: cost 18 inf + 250
1552122454.607 * * [simplify]: Extracting #5: cost 15 inf + 500
1552122454.607 * * [simplify]: Extracting #6: cost 10 inf + 587
1552122454.607 * * [simplify]: Extracting #7: cost 6 inf + 876
1552122454.608 * * [simplify]: Extracting #8: cost 2 inf + 1991
1552122454.608 * * [simplify]: Extracting #9: cost 0 inf + 2901
1552122454.608 * [simplify]: Simplified to (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k))
1552122454.609 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (sqrt k))))
1552122454.609 * * * * [progress]: [ 81 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122454.609 * [simplify]: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122454.609 * * [simplify]: iters left: 6 (12 enodes)
1552122454.612 * * [simplify]: iters left: 5 (41 enodes)
1552122454.619 * * [simplify]: iters left: 4 (55 enodes)
1552122454.628 * * [simplify]: iters left: 3 (61 enodes)
1552122454.638 * * [simplify]: iters left: 2 (65 enodes)
1552122454.658 * * [simplify]: iters left: 1 (72 enodes)
1552122454.669 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.669 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122454.669 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122454.669 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122454.669 * * [simplify]: Extracting #4: cost 22 inf + 45
1552122454.669 * * [simplify]: Extracting #5: cost 11 inf + 1245
1552122454.670 * * [simplify]: Extracting #6: cost 2 inf + 3132
1552122454.670 * * [simplify]: Extracting #7: cost 0 inf + 3627
1552122454.670 * [simplify]: Simplified to (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k)))
1552122454.670 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122454.671 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122454.671 * * [simplify]: iters left: 6 (13 enodes)
1552122454.674 * * [simplify]: iters left: 5 (44 enodes)
1552122454.681 * * [simplify]: iters left: 4 (59 enodes)
1552122454.689 * * [simplify]: iters left: 3 (70 enodes)
1552122454.699 * * [simplify]: iters left: 2 (78 enodes)
1552122454.713 * * [simplify]: iters left: 1 (87 enodes)
1552122454.724 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.724 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.724 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.724 * * [simplify]: Extracting #3: cost 23 inf + 0
1552122454.724 * * [simplify]: Extracting #4: cost 22 inf + 333
1552122454.725 * * [simplify]: Extracting #5: cost 10 inf + 1328
1552122454.725 * * [simplify]: Extracting #6: cost 1 inf + 2572
1552122454.726 * * [simplify]: Extracting #7: cost 0 inf + 3067
1552122454.726 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122454.726 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ (pow -2 (- 1/2 (* 1/2 k))) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122454.726 * * * * [progress]: [ 82 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122454.727 * [simplify]: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.727 * * [simplify]: iters left: 6 (11 enodes)
1552122454.730 * * [simplify]: iters left: 5 (36 enodes)
1552122454.738 * * [simplify]: iters left: 4 (48 enodes)
1552122454.752 * * [simplify]: iters left: 3 (54 enodes)
1552122454.767 * * [simplify]: iters left: 2 (58 enodes)
1552122454.784 * * [simplify]: iters left: 1 (65 enodes)
1552122454.799 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.799 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.799 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.799 * * [simplify]: Extracting #3: cost 15 inf + 1
1552122454.799 * * [simplify]: Extracting #4: cost 14 inf + 290
1552122454.800 * * [simplify]: Extracting #5: cost 6 inf + 995
1552122454.800 * * [simplify]: Extracting #6: cost 0 inf + 2199
1552122454.801 * * [simplify]: Extracting #7: cost 0 inf + 2159
1552122454.802 * [simplify]: Simplified to (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.802 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122454.802 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.802 * * [simplify]: iters left: 6 (13 enodes)
1552122454.808 * * [simplify]: iters left: 5 (44 enodes)
1552122454.822 * * [simplify]: iters left: 4 (59 enodes)
1552122454.838 * * [simplify]: iters left: 3 (70 enodes)
1552122454.851 * * [simplify]: iters left: 2 (78 enodes)
1552122454.864 * * [simplify]: iters left: 1 (87 enodes)
1552122454.877 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.877 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.877 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.877 * * [simplify]: Extracting #3: cost 23 inf + 0
1552122454.877 * * [simplify]: Extracting #4: cost 22 inf + 293
1552122454.878 * * [simplify]: Extracting #5: cost 10 inf + 1248
1552122454.878 * * [simplify]: Extracting #6: cost 1 inf + 2452
1552122454.879 * * [simplify]: Extracting #7: cost 0 inf + 2907
1552122454.880 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122454.880 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow -2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122454.880 * * * * [progress]: [ 83 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122454.881 * [simplify]: Simplifying (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) 1)
1552122454.881 * * [simplify]: iters left: 6 (9 enodes)
1552122454.885 * * [simplify]: iters left: 5 (28 enodes)
1552122454.893 * * [simplify]: iters left: 4 (40 enodes)
1552122454.903 * * [simplify]: iters left: 3 (46 enodes)
1552122454.909 * * [simplify]: iters left: 2 (50 enodes)
1552122454.917 * * [simplify]: iters left: 1 (57 enodes)
1552122454.924 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.925 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122454.925 * * [simplify]: Extracting #2: cost 8 inf + 2
1552122454.925 * * [simplify]: Extracting #3: cost 13 inf + 3
1552122454.925 * * [simplify]: Extracting #4: cost 8 inf + 172
1552122454.925 * * [simplify]: Extracting #5: cost 2 inf + 714
1552122454.925 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122454.925 * [simplify]: Simplified to (pow -2 (- 1/2 (* 1/2 k)))
1552122454.925 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow -2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122454.926 * [simplify]: Simplifying (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122454.926 * * [simplify]: iters left: 6 (12 enodes)
1552122454.929 * * [simplify]: iters left: 5 (41 enodes)
1552122454.936 * * [simplify]: iters left: 4 (56 enodes)
1552122454.944 * * [simplify]: iters left: 3 (67 enodes)
1552122454.953 * * [simplify]: iters left: 2 (75 enodes)
1552122454.975 * * [simplify]: iters left: 1 (84 enodes)
1552122454.992 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122454.992 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122454.993 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122454.993 * * [simplify]: Extracting #3: cost 19 inf + 42
1552122454.993 * * [simplify]: Extracting #4: cost 20 inf + 213
1552122454.993 * * [simplify]: Extracting #5: cost 9 inf + 1421
1552122454.994 * * [simplify]: Extracting #6: cost 1 inf + 2250
1552122454.995 * * [simplify]: Extracting #7: cost 0 inf + 2665
1552122454.995 * [simplify]: Simplified to (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122454.995 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow -2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122454.996 * * * * [progress]: [ 84 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122454.996 * [simplify]: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122454.996 * * [simplify]: iters left: 6 (12 enodes)
1552122455.002 * * [simplify]: iters left: 5 (42 enodes)
1552122455.013 * * [simplify]: iters left: 4 (54 enodes)
1552122455.026 * * [simplify]: iters left: 3 (61 enodes)
1552122455.042 * * [simplify]: iters left: 2 (69 enodes)
1552122455.062 * * [simplify]: iters left: 1 (78 enodes)
1552122455.081 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.082 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122455.082 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122455.082 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122455.082 * * [simplify]: Extracting #4: cost 22 inf + 45
1552122455.082 * * [simplify]: Extracting #5: cost 10 inf + 1247
1552122455.083 * * [simplify]: Extracting #6: cost 1 inf + 3134
1552122455.083 * * [simplify]: Extracting #7: cost 0 inf + 3627
1552122455.084 * [simplify]: Simplified to (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122455.084 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122455.085 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122455.085 * * [simplify]: iters left: 6 (13 enodes)
1552122455.091 * * [simplify]: iters left: 5 (46 enodes)
1552122455.111 * * [simplify]: iters left: 4 (58 enodes)
1552122455.127 * * [simplify]: iters left: 3 (64 enodes)
1552122455.144 * * [simplify]: iters left: 2 (68 enodes)
1552122455.159 * * [simplify]: iters left: 1 (75 enodes)
1552122455.167 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.167 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.167 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.167 * * [simplify]: Extracting #3: cost 20 inf + 0
1552122455.167 * * [simplify]: Extracting #4: cost 19 inf + 249
1552122455.168 * * [simplify]: Extracting #5: cost 8 inf + 1121
1552122455.168 * * [simplify]: Extracting #6: cost 1 inf + 2610
1552122455.168 * * [simplify]: Extracting #7: cost 0 inf + 2652
1552122455.169 * [simplify]: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122455.169 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122455.169 * * * * [progress]: [ 85 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122455.169 * [simplify]: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.169 * * [simplify]: iters left: 6 (11 enodes)
1552122455.173 * * [simplify]: iters left: 5 (37 enodes)
1552122455.178 * * [simplify]: iters left: 4 (47 enodes)
1552122455.186 * * [simplify]: iters left: 3 (54 enodes)
1552122455.201 * * [simplify]: iters left: 2 (62 enodes)
1552122455.219 * * [simplify]: iters left: 1 (71 enodes)
1552122455.241 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.241 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.241 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.241 * * [simplify]: Extracting #3: cost 15 inf + 1
1552122455.241 * * [simplify]: Extracting #4: cost 17 inf + 127
1552122455.242 * * [simplify]: Extracting #5: cost 7 inf + 914
1552122455.242 * * [simplify]: Extracting #6: cost 0 inf + 2199
1552122455.243 * * [simplify]: Extracting #7: cost 0 inf + 2159
1552122455.243 * [simplify]: Simplified to (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.244 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122455.244 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.244 * * [simplify]: iters left: 6 (13 enodes)
1552122455.250 * * [simplify]: iters left: 5 (46 enodes)
1552122455.264 * * [simplify]: iters left: 4 (58 enodes)
1552122455.281 * * [simplify]: iters left: 3 (64 enodes)
1552122455.291 * * [simplify]: iters left: 2 (68 enodes)
1552122455.301 * * [simplify]: iters left: 1 (75 enodes)
1552122455.310 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.310 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.310 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.310 * * [simplify]: Extracting #3: cost 20 inf + 0
1552122455.310 * * [simplify]: Extracting #4: cost 19 inf + 209
1552122455.310 * * [simplify]: Extracting #5: cost 8 inf + 1041
1552122455.311 * * [simplify]: Extracting #6: cost 1 inf + 2450
1552122455.311 * * [simplify]: Extracting #7: cost 0 inf + 2492
1552122455.312 * [simplify]: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.312 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow 2 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122455.312 * * * * [progress]: [ 86 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122455.312 * [simplify]: Simplifying (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) 1)
1552122455.312 * * [simplify]: iters left: 6 (10 enodes)
1552122455.316 * * [simplify]: iters left: 5 (34 enodes)
1552122455.325 * * [simplify]: iters left: 4 (46 enodes)
1552122455.339 * * [simplify]: iters left: 3 (52 enodes)
1552122455.355 * * [simplify]: iters left: 2 (56 enodes)
1552122455.369 * * [simplify]: iters left: 1 (63 enodes)
1552122455.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.377 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122455.377 * * [simplify]: Extracting #2: cost 8 inf + 2
1552122455.377 * * [simplify]: Extracting #3: cost 13 inf + 3
1552122455.377 * * [simplify]: Extracting #4: cost 8 inf + 173
1552122455.378 * * [simplify]: Extracting #5: cost 1 inf + 1047
1552122455.378 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122455.378 * [simplify]: Simplified to (pow 2 (- 1/2 (* 1/2 k)))
1552122455.378 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122455.378 * [simplify]: Simplifying (/ (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122455.378 * * [simplify]: iters left: 6 (12 enodes)
1552122455.382 * * [simplify]: iters left: 5 (43 enodes)
1552122455.388 * * [simplify]: iters left: 4 (55 enodes)
1552122455.396 * * [simplify]: iters left: 3 (61 enodes)
1552122455.405 * * [simplify]: iters left: 2 (65 enodes)
1552122455.414 * * [simplify]: iters left: 1 (72 enodes)
1552122455.424 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.424 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.424 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.424 * * [simplify]: Extracting #3: cost 17 inf + 1
1552122455.424 * * [simplify]: Extracting #4: cost 19 inf + 87
1552122455.425 * * [simplify]: Extracting #5: cost 9 inf + 877
1552122455.425 * * [simplify]: Extracting #6: cost 1 inf + 2248
1552122455.426 * * [simplify]: Extracting #7: cost 0 inf + 2250
1552122455.426 * [simplify]: Simplified to (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))
1552122455.426 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122455.426 * * * * [progress]: [ 87 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122455.426 * [simplify]: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122455.426 * * [simplify]: iters left: 6 (10 enodes)
1552122455.429 * * [simplify]: iters left: 5 (35 enodes)
1552122455.434 * * [simplify]: iters left: 4 (51 enodes)
1552122455.444 * * [simplify]: iters left: 3 (59 enodes)
1552122455.452 * * [simplify]: iters left: 2 (63 enodes)
1552122455.465 * * [simplify]: iters left: 1 (70 enodes)
1552122455.480 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.481 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122455.481 * * [simplify]: Extracting #2: cost 11 inf + 1
1552122455.481 * * [simplify]: Extracting #3: cost 13 inf + 1
1552122455.481 * * [simplify]: Extracting #4: cost 12 inf + 2
1552122455.481 * * [simplify]: Extracting #5: cost 7 inf + 488
1552122455.481 * * [simplify]: Extracting #6: cost 0 inf + 1700
1552122455.482 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1552122455.482 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122455.482 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122455.483 * * [simplify]: iters left: 6 (15 enodes)
1552122455.490 * * [simplify]: iters left: 5 (53 enodes)
1552122455.507 * * [simplify]: iters left: 4 (80 enodes)
1552122455.520 * * [simplify]: iters left: 3 (117 enodes)
1552122455.536 * * [simplify]: iters left: 2 (155 enodes)
1552122455.562 * * [simplify]: iters left: 1 (189 enodes)
1552122455.598 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.598 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.598 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.598 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122455.599 * * [simplify]: Extracting #4: cost 45 inf + 342
1552122455.600 * * [simplify]: Extracting #5: cost 19 inf + 1754
1552122455.602 * * [simplify]: Extracting #6: cost 1 inf + 3871
1552122455.604 * * [simplify]: Extracting #7: cost 0 inf + 4406
1552122455.606 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122455.606 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122455.606 * * * * [progress]: [ 88 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122455.607 * [simplify]: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.607 * * [simplify]: iters left: 6 (9 enodes)
1552122455.613 * * [simplify]: iters left: 5 (30 enodes)
1552122455.622 * * [simplify]: iters left: 4 (42 enodes)
1552122455.633 * * [simplify]: iters left: 3 (48 enodes)
1552122455.646 * * [simplify]: iters left: 2 (52 enodes)
1552122455.665 * * [simplify]: iters left: 1 (59 enodes)
1552122455.679 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.679 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.679 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122455.679 * * [simplify]: Extracting #3: cost 7 inf + 1
1552122455.679 * * [simplify]: Extracting #4: cost 4 inf + 124
1552122455.679 * * [simplify]: Extracting #5: cost 0 inf + 490
1552122455.679 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552122455.679 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122455.680 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.680 * * [simplify]: iters left: 6 (15 enodes)
1552122455.687 * * [simplify]: iters left: 5 (53 enodes)
1552122455.705 * * [simplify]: iters left: 4 (80 enodes)
1552122455.729 * * [simplify]: iters left: 3 (117 enodes)
1552122455.752 * * [simplify]: iters left: 2 (155 enodes)
1552122455.776 * * [simplify]: iters left: 1 (189 enodes)
1552122455.820 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.820 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.820 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.820 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122455.821 * * [simplify]: Extracting #4: cost 45 inf + 342
1552122455.821 * * [simplify]: Extracting #5: cost 19 inf + 1674
1552122455.822 * * [simplify]: Extracting #6: cost 1 inf + 3751
1552122455.823 * * [simplify]: Extracting #7: cost 0 inf + 4246
1552122455.824 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122455.824 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122455.824 * * * * [progress]: [ 89 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow 1 (- 1/2 (* 1/2 k))) 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122455.824 * [simplify]: Simplifying (/ (pow 1 (- 1/2 (* 1/2 k))) 1)
1552122455.824 * * [simplify]: iters left: 6 (7 enodes)
1552122455.827 * * [simplify]: iters left: 5 (22 enodes)
1552122455.830 * * [simplify]: iters left: 4 (34 enodes)
1552122455.835 * * [simplify]: iters left: 3 (40 enodes)
1552122455.840 * * [simplify]: iters left: 2 (44 enodes)
1552122455.852 * * [simplify]: iters left: 1 (51 enodes)
1552122455.860 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.860 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122455.860 * [simplify]: Simplified to 1
1552122455.860 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122455.861 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122455.861 * * [simplify]: iters left: 6 (14 enodes)
1552122455.865 * * [simplify]: iters left: 5 (50 enodes)
1552122455.874 * * [simplify]: iters left: 4 (77 enodes)
1552122455.889 * * [simplify]: iters left: 3 (114 enodes)
1552122455.921 * * [simplify]: iters left: 2 (152 enodes)
1552122455.957 * * [simplify]: iters left: 1 (186 enodes)
1552122455.983 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122455.983 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122455.983 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122455.984 * * [simplify]: Extracting #3: cost 33 inf + 83
1552122455.984 * * [simplify]: Extracting #4: cost 44 inf + 257
1552122455.985 * * [simplify]: Extracting #5: cost 15 inf + 1882
1552122455.988 * * [simplify]: Extracting #6: cost 2 inf + 3627
1552122455.989 * * [simplify]: Extracting #7: cost 0 inf + 4004
1552122455.990 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))
1552122455.990 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122455.990 * * * * [progress]: [ 90 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122455.990 * [simplify]: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122455.990 * * [simplify]: iters left: 6 (12 enodes)
1552122455.994 * * [simplify]: iters left: 5 (42 enodes)
1552122456.000 * * [simplify]: iters left: 4 (54 enodes)
1552122456.007 * * [simplify]: iters left: 3 (61 enodes)
1552122456.016 * * [simplify]: iters left: 2 (69 enodes)
1552122456.026 * * [simplify]: iters left: 1 (78 enodes)
1552122456.036 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.036 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122456.036 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122456.036 * * [simplify]: Extracting #3: cost 23 inf + 0
1552122456.036 * * [simplify]: Extracting #4: cost 24 inf + 46
1552122456.036 * * [simplify]: Extracting #5: cost 10 inf + 1414
1552122456.036 * * [simplify]: Extracting #6: cost 1 inf + 3424
1552122456.037 * * [simplify]: Extracting #7: cost 0 inf + 3958
1552122456.038 * [simplify]: Simplified to (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122456.038 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122456.038 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122456.038 * * [simplify]: iters left: 6 (13 enodes)
1552122456.045 * * [simplify]: iters left: 5 (46 enodes)
1552122456.059 * * [simplify]: iters left: 4 (59 enodes)
1552122456.075 * * [simplify]: iters left: 3 (65 enodes)
1552122456.098 * * [simplify]: iters left: 2 (69 enodes)
1552122456.119 * * [simplify]: iters left: 1 (76 enodes)
1552122456.136 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.136 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.136 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.136 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122456.136 * * [simplify]: Extracting #4: cost 18 inf + 171
1552122456.137 * * [simplify]: Extracting #5: cost 6 inf + 1163
1552122456.138 * * [simplify]: Extracting #6: cost 0 inf + 2686
1552122456.138 * * [simplify]: Extracting #7: cost 0 inf + 2646
1552122456.139 * [simplify]: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122456.139 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122456.139 * * * * [progress]: [ 91 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122456.140 * [simplify]: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.140 * * [simplify]: iters left: 6 (11 enodes)
1552122456.145 * * [simplify]: iters left: 5 (37 enodes)
1552122456.156 * * [simplify]: iters left: 4 (47 enodes)
1552122456.168 * * [simplify]: iters left: 3 (54 enodes)
1552122456.183 * * [simplify]: iters left: 2 (62 enodes)
1552122456.201 * * [simplify]: iters left: 1 (71 enodes)
1552122456.218 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.218 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.218 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.218 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122456.218 * * [simplify]: Extracting #4: cost 16 inf + 291
1552122456.218 * * [simplify]: Extracting #5: cost 5 inf + 1455
1552122456.219 * * [simplify]: Extracting #6: cost 0 inf + 2408
1552122456.220 * [simplify]: Simplified to (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.220 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122456.220 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.220 * * [simplify]: iters left: 6 (13 enodes)
1552122456.228 * * [simplify]: iters left: 5 (46 enodes)
1552122456.246 * * [simplify]: iters left: 4 (59 enodes)
1552122456.262 * * [simplify]: iters left: 3 (65 enodes)
1552122456.278 * * [simplify]: iters left: 2 (69 enodes)
1552122456.288 * * [simplify]: iters left: 1 (76 enodes)
1552122456.297 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.297 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.297 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.297 * * [simplify]: Extracting #3: cost 21 inf + 0
1552122456.297 * * [simplify]: Extracting #4: cost 18 inf + 171
1552122456.297 * * [simplify]: Extracting #5: cost 6 inf + 1123
1552122456.298 * * [simplify]: Extracting #6: cost 0 inf + 2526
1552122456.298 * * [simplify]: Extracting #7: cost 0 inf + 2486
1552122456.298 * [simplify]: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.298 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122456.299 * * * * [progress]: [ 92 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122456.299 * [simplify]: Simplifying (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) 1)
1552122456.299 * * [simplify]: iters left: 6 (10 enodes)
1552122456.302 * * [simplify]: iters left: 5 (34 enodes)
1552122456.308 * * [simplify]: iters left: 4 (46 enodes)
1552122456.321 * * [simplify]: iters left: 3 (52 enodes)
1552122456.334 * * [simplify]: iters left: 2 (56 enodes)
1552122456.351 * * [simplify]: iters left: 1 (63 enodes)
1552122456.368 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.368 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122456.369 * * [simplify]: Extracting #2: cost 12 inf + 1
1552122456.369 * * [simplify]: Extracting #3: cost 15 inf + 4
1552122456.369 * * [simplify]: Extracting #4: cost 6 inf + 381
1552122456.369 * * [simplify]: Extracting #5: cost 0 inf + 1296
1552122456.370 * * [simplify]: Extracting #6: cost 0 inf + 1256
1552122456.370 * [simplify]: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k)))
1552122456.370 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122456.371 * [simplify]: Simplifying (/ (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122456.371 * * [simplify]: iters left: 6 (12 enodes)
1552122456.378 * * [simplify]: iters left: 5 (43 enodes)
1552122456.390 * * [simplify]: iters left: 4 (56 enodes)
1552122456.405 * * [simplify]: iters left: 3 (62 enodes)
1552122456.413 * * [simplify]: iters left: 2 (66 enodes)
1552122456.422 * * [simplify]: iters left: 1 (73 enodes)
1552122456.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.431 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.431 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.431 * * [simplify]: Extracting #3: cost 18 inf + 1
1552122456.431 * * [simplify]: Extracting #4: cost 17 inf + 130
1552122456.432 * * [simplify]: Extracting #5: cost 5 inf + 1002
1552122456.432 * * [simplify]: Extracting #6: cost 0 inf + 2244
1552122456.432 * [simplify]: Simplified to (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt k))
1552122456.432 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (pow (- n) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122456.433 * * * * [progress]: [ 93 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122456.433 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122456.433 * * [simplify]: iters left: 6 (14 enodes)
1552122456.439 * * [simplify]: iters left: 5 (50 enodes)
1552122456.453 * * [simplify]: iters left: 4 (69 enodes)
1552122456.463 * * [simplify]: iters left: 3 (78 enodes)
1552122456.476 * * [simplify]: iters left: 2 (86 enodes)
1552122456.494 * * [simplify]: iters left: 1 (95 enodes)
1552122456.507 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.507 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122456.507 * * [simplify]: Extracting #2: cost 13 inf + 0
1552122456.507 * * [simplify]: Extracting #3: cost 27 inf + 0
1552122456.508 * * [simplify]: Extracting #4: cost 24 inf + 491
1552122456.508 * * [simplify]: Extracting #5: cost 12 inf + 1895
1552122456.508 * * [simplify]: Extracting #6: cost 0 inf + 4122
1552122456.509 * [simplify]: Simplified to (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122456.509 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122456.509 * [simplify]: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122456.509 * * [simplify]: iters left: 6 (9 enodes)
1552122456.512 * * [simplify]: iters left: 5 (30 enodes)
1552122456.516 * * [simplify]: iters left: 4 (40 enodes)
1552122456.522 * * [simplify]: iters left: 3 (47 enodes)
1552122456.531 * * [simplify]: iters left: 2 (55 enodes)
1552122456.547 * * [simplify]: iters left: 1 (64 enodes)
1552122456.562 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.562 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.562 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.562 * * [simplify]: Extracting #3: cost 15 inf + 1
1552122456.563 * * [simplify]: Extracting #4: cost 14 inf + 330
1552122456.563 * * [simplify]: Extracting #5: cost 7 inf + 953
1552122456.564 * * [simplify]: Extracting #6: cost 0 inf + 2319
1552122456.564 * [simplify]: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k)))
1552122456.564 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (- 1/2 (* k 1/2))) (cbrt (sqrt k)))))
1552122456.564 * * * * [progress]: [ 94 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122456.565 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.565 * * [simplify]: iters left: 6 (13 enodes)
1552122456.571 * * [simplify]: iters left: 5 (45 enodes)
1552122456.582 * * [simplify]: iters left: 4 (62 enodes)
1552122456.591 * * [simplify]: iters left: 3 (71 enodes)
1552122456.601 * * [simplify]: iters left: 2 (79 enodes)
1552122456.625 * * [simplify]: iters left: 1 (88 enodes)
1552122456.644 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.644 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.644 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.645 * * [simplify]: Extracting #3: cost 23 inf + 0
1552122456.645 * * [simplify]: Extracting #4: cost 20 inf + 294
1552122456.645 * * [simplify]: Extracting #5: cost 8 inf + 1086
1552122456.645 * * [simplify]: Extracting #6: cost 1 inf + 2121
1552122456.646 * * [simplify]: Extracting #7: cost 0 inf + 2574
1552122456.646 * [simplify]: Simplified to (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.646 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122456.646 * [simplify]: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122456.646 * * [simplify]: iters left: 6 (9 enodes)
1552122456.649 * * [simplify]: iters left: 5 (30 enodes)
1552122456.653 * * [simplify]: iters left: 4 (40 enodes)
1552122456.659 * * [simplify]: iters left: 3 (47 enodes)
1552122456.665 * * [simplify]: iters left: 2 (55 enodes)
1552122456.673 * * [simplify]: iters left: 1 (64 enodes)
1552122456.691 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.691 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.691 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.691 * * [simplify]: Extracting #3: cost 15 inf + 1
1552122456.691 * * [simplify]: Extracting #4: cost 14 inf + 290
1552122456.691 * * [simplify]: Extracting #5: cost 7 inf + 873
1552122456.692 * * [simplify]: Extracting #6: cost 0 inf + 2159
1552122456.692 * [simplify]: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))
1552122456.692 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt (sqrt k)))))
1552122456.692 * * * * [progress]: [ 95 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) 1) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122456.692 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) 1)
1552122456.693 * * [simplify]: iters left: 6 (12 enodes)
1552122456.696 * * [simplify]: iters left: 5 (42 enodes)
1552122456.704 * * [simplify]: iters left: 4 (61 enodes)
1552122456.717 * * [simplify]: iters left: 3 (69 enodes)
1552122456.727 * * [simplify]: iters left: 2 (73 enodes)
1552122456.748 * * [simplify]: iters left: 1 (80 enodes)
1552122456.760 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.761 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122456.761 * * [simplify]: Extracting #2: cost 16 inf + 1
1552122456.761 * * [simplify]: Extracting #3: cost 19 inf + 6
1552122456.761 * * [simplify]: Extracting #4: cost 4 inf + 675
1552122456.761 * * [simplify]: Extracting #5: cost 1 inf + 1091
1552122456.761 * * [simplify]: Extracting #6: cost 0 inf + 1424
1552122456.762 * [simplify]: Simplified to (pow (/ PI 1/2) (- 1/2 (* 1/2 k)))
1552122456.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k))))
1552122456.762 * [simplify]: Simplifying (/ (pow n (- 1/2 (* 1/2 k))) (sqrt k))
1552122456.762 * * [simplify]: iters left: 6 (8 enodes)
1552122456.764 * * [simplify]: iters left: 5 (27 enodes)
1552122456.768 * * [simplify]: iters left: 4 (37 enodes)
1552122456.773 * * [simplify]: iters left: 3 (44 enodes)
1552122456.779 * * [simplify]: iters left: 2 (52 enodes)
1552122456.793 * * [simplify]: iters left: 1 (61 enodes)
1552122456.800 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.800 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122456.800 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122456.800 * * [simplify]: Extracting #3: cost 11 inf + 43
1552122456.801 * * [simplify]: Extracting #4: cost 14 inf + 127
1552122456.801 * * [simplify]: Extracting #5: cost 5 inf + 1206
1552122456.801 * * [simplify]: Extracting #6: cost 1 inf + 1875
1552122456.801 * * [simplify]: Extracting #7: cost 0 inf + 1917
1552122456.802 * [simplify]: Simplified to (/ (pow n (- 1/2 (* k 1/2))) (sqrt k))
1552122456.802 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (/ PI 1/2) (- 1/2 (* 1/2 k))) (/ (pow n (- 1/2 (* k 1/2))) (sqrt k))))
1552122456.802 * * * * [progress]: [ 96 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))>
1552122456.802 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122456.802 * * [simplify]: iters left: 6 (18 enodes)
1552122456.806 * * [simplify]: iters left: 5 (68 enodes)
1552122456.817 * * [simplify]: iters left: 4 (110 enodes)
1552122456.842 * * [simplify]: iters left: 3 (154 enodes)
1552122456.863 * * [simplify]: iters left: 2 (195 enodes)
1552122456.897 * * [simplify]: iters left: 1 (229 enodes)
1552122456.946 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122456.946 * * [simplify]: Extracting #1: cost 11 inf + 0
1552122456.946 * * [simplify]: Extracting #2: cost 22 inf + 0
1552122456.946 * * [simplify]: Extracting #3: cost 27 inf + 0
1552122456.946 * * [simplify]: Extracting #4: cost 53 inf + 1
1552122456.947 * * [simplify]: Extracting #5: cost 58 inf + 785
1552122456.947 * * [simplify]: Extracting #6: cost 29 inf + 2325
1552122456.949 * * [simplify]: Extracting #7: cost 7 inf + 8822
1552122456.951 * * [simplify]: Extracting #8: cost 2 inf + 12012
1552122456.953 * * [simplify]: Extracting #9: cost 0 inf + 13240
1552122456.955 * [simplify]: Simplified to (* (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))))
1552122456.955 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))
1552122456.955 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
1552122456.955 * * [simplify]: iters left: 6 (16 enodes)
1552122456.959 * * [simplify]: iters left: 5 (56 enodes)
1552122456.977 * * [simplify]: iters left: 4 (83 enodes)
1552122456.998 * * [simplify]: iters left: 3 (120 enodes)
1552122457.014 * * [simplify]: iters left: 2 (158 enodes)
1552122457.040 * * [simplify]: iters left: 1 (191 enodes)
1552122457.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.068 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122457.068 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122457.068 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122457.068 * * [simplify]: Extracting #4: cost 38 inf + 42
1552122457.069 * * [simplify]: Extracting #5: cost 45 inf + 541
1552122457.069 * * [simplify]: Extracting #6: cost 13 inf + 2291
1552122457.071 * * [simplify]: Extracting #7: cost 0 inf + 5476
1552122457.073 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
1552122457.073 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))
1552122457.074 * * * * [progress]: [ 97 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
1552122457.074 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
1552122457.074 * * [simplify]: iters left: 6 (17 enodes)
1552122457.082 * * [simplify]: iters left: 5 (61 enodes)
1552122457.099 * * [simplify]: iters left: 4 (92 enodes)
1552122457.113 * * [simplify]: iters left: 3 (132 enodes)
1552122457.131 * * [simplify]: iters left: 2 (170 enodes)
1552122457.178 * * [simplify]: iters left: 1 (203 enodes)
1552122457.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.203 * * [simplify]: Extracting #1: cost 7 inf + 0
1552122457.203 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122457.204 * * [simplify]: Extracting #3: cost 19 inf + 0
1552122457.204 * * [simplify]: Extracting #4: cost 42 inf + 164
1552122457.204 * * [simplify]: Extracting #5: cost 47 inf + 670
1552122457.205 * * [simplify]: Extracting #6: cost 18 inf + 2212
1552122457.206 * * [simplify]: Extracting #7: cost 5 inf + 6304
1552122457.209 * * [simplify]: Extracting #8: cost 0 inf + 8686
1552122457.212 * [simplify]: Simplified to (/ (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k)))
1552122457.212 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* 2 (* PI n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))
1552122457.212 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122457.213 * * [simplify]: iters left: 6 (16 enodes)
1552122457.220 * * [simplify]: iters left: 5 (56 enodes)
1552122457.238 * * [simplify]: iters left: 4 (83 enodes)
1552122457.261 * * [simplify]: iters left: 3 (120 enodes)
1552122457.280 * * [simplify]: iters left: 2 (158 enodes)
1552122457.313 * * [simplify]: iters left: 1 (191 enodes)
1552122457.348 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.348 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122457.348 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122457.348 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122457.348 * * [simplify]: Extracting #4: cost 38 inf + 42
1552122457.349 * * [simplify]: Extracting #5: cost 45 inf + 461
1552122457.349 * * [simplify]: Extracting #6: cost 13 inf + 2211
1552122457.350 * * [simplify]: Extracting #7: cost 0 inf + 5316
1552122457.351 * [simplify]: Simplified to (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122457.351 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))
1552122457.352 * * * * [progress]: [ 98 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))))>
1552122457.352 * [simplify]: Simplifying (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1)
1552122457.352 * * [simplify]: iters left: 6 (16 enodes)
1552122457.359 * * [simplify]: iters left: 5 (58 enodes)
1552122457.381 * * [simplify]: iters left: 4 (95 enodes)
1552122457.408 * * [simplify]: iters left: 3 (132 enodes)
1552122457.425 * * [simplify]: iters left: 2 (166 enodes)
1552122457.447 * * [simplify]: iters left: 1 (198 enodes)
1552122457.479 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.479 * * [simplify]: Extracting #1: cost 5 inf + 0
1552122457.479 * * [simplify]: Extracting #2: cost 7 inf + 1
1552122457.479 * * [simplify]: Extracting #3: cost 10 inf + 1
1552122457.479 * * [simplify]: Extracting #4: cost 37 inf + 1
1552122457.479 * * [simplify]: Extracting #5: cost 47 inf + 258
1552122457.480 * * [simplify]: Extracting #6: cost 22 inf + 1555
1552122457.481 * * [simplify]: Extracting #7: cost 2 inf + 5361
1552122457.482 * * [simplify]: Extracting #8: cost 0 inf + 5896
1552122457.483 * [simplify]: Simplified to (* (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))))
1552122457.483 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (cbrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k))))) (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
1552122457.484 * [simplify]: Simplifying (/ (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122457.484 * * [simplify]: iters left: 6 (15 enodes)
1552122457.488 * * [simplify]: iters left: 5 (53 enodes)
1552122457.496 * * [simplify]: iters left: 4 (80 enodes)
1552122457.515 * * [simplify]: iters left: 3 (117 enodes)
1552122457.549 * * [simplify]: iters left: 2 (155 enodes)
1552122457.595 * * [simplify]: iters left: 1 (189 enodes)
1552122457.630 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.631 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122457.631 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122457.631 * * [simplify]: Extracting #3: cost 9 inf + 42
1552122457.631 * * [simplify]: Extracting #4: cost 35 inf + 83
1552122457.631 * * [simplify]: Extracting #5: cost 43 inf + 383
1552122457.631 * * [simplify]: Extracting #6: cost 16 inf + 1882
1552122457.632 * * [simplify]: Extracting #7: cost 1 inf + 4539
1552122457.633 * * [simplify]: Extracting #8: cost 0 inf + 5074
1552122457.634 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122457.635 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) 1) (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k))))
1552122457.635 * * * * [progress]: [ 99 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))>
1552122457.635 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122457.635 * * [simplify]: iters left: 6 (17 enodes)
1552122457.639 * * [simplify]: iters left: 5 (61 enodes)
1552122457.651 * * [simplify]: iters left: 4 (90 enodes)
1552122457.670 * * [simplify]: iters left: 3 (127 enodes)
1552122457.690 * * [simplify]: iters left: 2 (165 enodes)
1552122457.721 * * [simplify]: iters left: 1 (199 enodes)
1552122457.751 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.751 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122457.751 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122457.751 * * [simplify]: Extracting #3: cost 17 inf + 0
1552122457.752 * * [simplify]: Extracting #4: cost 42 inf + 42
1552122457.752 * * [simplify]: Extracting #5: cost 47 inf + 863
1552122457.753 * * [simplify]: Extracting #6: cost 22 inf + 2159
1552122457.756 * * [simplify]: Extracting #7: cost 2 inf + 5632
1552122457.758 * * [simplify]: Extracting #8: cost 0 inf + 6860
1552122457.762 * [simplify]: Simplified to (/ (sqrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122457.762 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* PI (/ n 1/2)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))
1552122457.762 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
1552122457.762 * * [simplify]: iters left: 6 (16 enodes)
1552122457.773 * * [simplify]: iters left: 5 (56 enodes)
1552122457.791 * * [simplify]: iters left: 4 (83 enodes)
1552122457.819 * * [simplify]: iters left: 3 (120 enodes)
1552122457.835 * * [simplify]: iters left: 2 (158 enodes)
1552122457.864 * * [simplify]: iters left: 1 (191 enodes)
1552122457.917 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122457.917 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122457.917 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122457.917 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122457.917 * * [simplify]: Extracting #4: cost 38 inf + 42
1552122457.918 * * [simplify]: Extracting #5: cost 45 inf + 541
1552122457.918 * * [simplify]: Extracting #6: cost 13 inf + 2291
1552122457.919 * * [simplify]: Extracting #7: cost 0 inf + 5316
1552122457.920 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))
1552122457.920 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (sqrt k)))))
1552122457.920 * * * * [progress]: [ 100 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))>
1552122457.921 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122457.921 * * [simplify]: iters left: 6 (16 enodes)
1552122457.925 * * [simplify]: iters left: 5 (56 enodes)
1552122457.934 * * [simplify]: iters left: 4 (83 enodes)
1552122457.946 * * [simplify]: iters left: 3 (120 enodes)
1552122457.972 * * [simplify]: iters left: 2 (158 enodes)
1552122458.004 * * [simplify]: iters left: 1 (191 enodes)
1552122458.052 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.052 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.052 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122458.052 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122458.052 * * [simplify]: Extracting #4: cost 38 inf + 42
1552122458.053 * * [simplify]: Extracting #5: cost 45 inf + 461
1552122458.054 * * [simplify]: Extracting #6: cost 13 inf + 2211
1552122458.056 * * [simplify]: Extracting #7: cost 0 inf + 5156
1552122458.058 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122458.058 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))
1552122458.058 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122458.058 * * [simplify]: iters left: 6 (16 enodes)
1552122458.066 * * [simplify]: iters left: 5 (56 enodes)
1552122458.084 * * [simplify]: iters left: 4 (83 enodes)
1552122458.102 * * [simplify]: iters left: 3 (120 enodes)
1552122458.121 * * [simplify]: iters left: 2 (158 enodes)
1552122458.158 * * [simplify]: iters left: 1 (191 enodes)
1552122458.205 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.205 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.205 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122458.205 * * [simplify]: Extracting #3: cost 13 inf + 0
1552122458.205 * * [simplify]: Extracting #4: cost 38 inf + 42
1552122458.206 * * [simplify]: Extracting #5: cost 45 inf + 461
1552122458.207 * * [simplify]: Extracting #6: cost 13 inf + 2211
1552122458.209 * * [simplify]: Extracting #7: cost 0 inf + 5156
1552122458.211 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))
1552122458.211 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (sqrt (sqrt k)))))
1552122458.211 * * * * [progress]: [ 101 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))))>
1552122458.212 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1)
1552122458.212 * * [simplify]: iters left: 6 (15 enodes)
1552122458.220 * * [simplify]: iters left: 5 (53 enodes)
1552122458.241 * * [simplify]: iters left: 4 (82 enodes)
1552122458.266 * * [simplify]: iters left: 3 (118 enodes)
1552122458.298 * * [simplify]: iters left: 2 (152 enodes)
1552122458.339 * * [simplify]: iters left: 1 (184 enodes)
1552122458.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.387 * * [simplify]: Extracting #2: cost 6 inf + 1
1552122458.387 * * [simplify]: Extracting #3: cost 33 inf + 1
1552122458.388 * * [simplify]: Extracting #4: cost 41 inf + 301
1552122458.388 * * [simplify]: Extracting #5: cost 17 inf + 1515
1552122458.389 * * [simplify]: Extracting #6: cost 2 inf + 3382
1552122458.390 * * [simplify]: Extracting #7: cost 0 inf + 3838
1552122458.391 * [simplify]: Simplified to (sqrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k))))
1552122458.391 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (/ PI 1/2)) (- 1/2 (* 1/2 k)))) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))))
1552122458.391 * [simplify]: Simplifying (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122458.391 * * [simplify]: iters left: 6 (15 enodes)
1552122458.395 * * [simplify]: iters left: 5 (53 enodes)
1552122458.403 * * [simplify]: iters left: 4 (80 enodes)
1552122458.416 * * [simplify]: iters left: 3 (117 enodes)
1552122458.432 * * [simplify]: iters left: 2 (155 enodes)
1552122458.466 * * [simplify]: iters left: 1 (189 enodes)
1552122458.514 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.514 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.514 * * [simplify]: Extracting #2: cost 8 inf + 0
1552122458.514 * * [simplify]: Extracting #3: cost 9 inf + 42
1552122458.514 * * [simplify]: Extracting #4: cost 35 inf + 83
1552122458.515 * * [simplify]: Extracting #5: cost 43 inf + 383
1552122458.516 * * [simplify]: Extracting #6: cost 16 inf + 1882
1552122458.518 * * [simplify]: Extracting #7: cost 1 inf + 4419
1552122458.520 * * [simplify]: Extracting #8: cost 0 inf + 4914
1552122458.522 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k))
1552122458.522 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) 1) (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (* 1/2 k)))) (sqrt k))))
1552122458.522 * * * * [progress]: [ 102 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))>
1552122458.523 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122458.523 * * [simplify]: iters left: 6 (6 enodes)
1552122458.526 * * [simplify]: iters left: 5 (22 enodes)
1552122458.533 * * [simplify]: iters left: 4 (26 enodes)
1552122458.540 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.540 * * [simplify]: Extracting #1: cost 6 inf + 0
1552122458.540 * * [simplify]: Extracting #2: cost 9 inf + 1
1552122458.540 * * [simplify]: Extracting #3: cost 11 inf + 1
1552122458.541 * * [simplify]: Extracting #4: cost 8 inf + 84
1552122458.541 * * [simplify]: Extracting #5: cost 2 inf + 1013
1552122458.541 * * [simplify]: Extracting #6: cost 0 inf + 1376
1552122458.541 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1552122458.542 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122458.542 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122458.542 * * [simplify]: iters left: 6 (15 enodes)
1552122458.549 * * [simplify]: iters left: 5 (53 enodes)
1552122458.567 * * [simplify]: iters left: 4 (80 enodes)
1552122458.587 * * [simplify]: iters left: 3 (117 enodes)
1552122458.607 * * [simplify]: iters left: 2 (155 enodes)
1552122458.628 * * [simplify]: iters left: 1 (189 enodes)
1552122458.667 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.667 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.667 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122458.667 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122458.668 * * [simplify]: Extracting #4: cost 45 inf + 342
1552122458.669 * * [simplify]: Extracting #5: cost 19 inf + 1754
1552122458.670 * * [simplify]: Extracting #6: cost 1 inf + 3871
1552122458.672 * * [simplify]: Extracting #7: cost 0 inf + 4406
1552122458.674 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))
1552122458.675 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (cbrt (sqrt k)))))
1552122458.675 * * * * [progress]: [ 103 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))>
1552122458.675 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1552122458.675 * * [simplify]: iters left: 4 (5 enodes)
1552122458.678 * * [simplify]: iters left: 3 (17 enodes)
1552122458.684 * * [simplify]: iters left: 2 (19 enodes)
1552122458.693 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.693 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.693 * * [simplify]: Extracting #2: cost 5 inf + 1
1552122458.694 * * [simplify]: Extracting #3: cost 7 inf + 1
1552122458.694 * * [simplify]: Extracting #4: cost 0 inf + 490
1552122458.694 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1552122458.694 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122458.694 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122458.695 * * [simplify]: iters left: 6 (15 enodes)
1552122458.702 * * [simplify]: iters left: 5 (53 enodes)
1552122458.716 * * [simplify]: iters left: 4 (80 enodes)
1552122458.733 * * [simplify]: iters left: 3 (117 enodes)
1552122458.749 * * [simplify]: iters left: 2 (155 enodes)
1552122458.771 * * [simplify]: iters left: 1 (189 enodes)
1552122458.812 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.813 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.813 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122458.813 * * [simplify]: Extracting #3: cost 38 inf + 0
1552122458.814 * * [simplify]: Extracting #4: cost 45 inf + 342
1552122458.815 * * [simplify]: Extracting #5: cost 19 inf + 1674
1552122458.818 * * [simplify]: Extracting #6: cost 1 inf + 3751
1552122458.821 * * [simplify]: Extracting #7: cost 0 inf + 4246
1552122458.823 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))
1552122458.823 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))
1552122458.823 * * * * [progress]: [ 104 / 135 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122458.824 * [simplify]: Simplifying (/ 1 1)
1552122458.824 * * [simplify]: iters left: 2 (2 enodes)
1552122458.825 * * [simplify]: iters left: 1 (6 enodes)
1552122458.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.828 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122458.828 * [simplify]: Simplified to 1
1552122458.828 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122458.828 * [simplify]: Simplifying (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))
1552122458.828 * * [simplify]: iters left: 6 (14 enodes)
1552122458.835 * * [simplify]: iters left: 5 (50 enodes)
1552122458.852 * * [simplify]: iters left: 4 (77 enodes)
1552122458.875 * * [simplify]: iters left: 3 (114 enodes)
1552122458.906 * * [simplify]: iters left: 2 (152 enodes)
1552122458.952 * * [simplify]: iters left: 1 (186 enodes)
1552122458.999 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122458.999 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122458.999 * * [simplify]: Extracting #2: cost 9 inf + 0
1552122458.999 * * [simplify]: Extracting #3: cost 33 inf + 83
1552122458.999 * * [simplify]: Extracting #4: cost 44 inf + 257
1552122459.000 * * [simplify]: Extracting #5: cost 15 inf + 1882
1552122459.002 * * [simplify]: Extracting #6: cost 2 inf + 3627
1552122459.004 * * [simplify]: Extracting #7: cost 0 inf + 4004
1552122459.006 * [simplify]: Simplified to (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))
1552122459.006 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k))))
1552122459.006 * * * * [progress]: [ 105 / 135 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k))))>
1552122459.006 * * * * [progress]: [ 106 / 135 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (/ 1 (sqrt k))))>
1552122459.007 * * * * [progress]: [ 107 / 135 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))>
1552122459.007 * * * * [progress]: [ 108 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1552122459.007 * [simplify]: Simplifying (cbrt (sqrt k))
1552122459.007 * * [simplify]: iters left: 2 (3 enodes)
1552122459.008 * * [simplify]: iters left: 1 (9 enodes)
1552122459.010 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.010 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122459.010 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122459.010 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122459.011 * * [simplify]: Extracting #4: cost 0 inf + 325
1552122459.011 * [simplify]: Simplified to (cbrt (sqrt k))
1552122459.011 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1552122459.011 * * * * [progress]: [ 109 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1552122459.011 * [simplify]: Simplifying (sqrt (sqrt k))
1552122459.011 * * [simplify]: iters left: 2 (3 enodes)
1552122459.012 * * [simplify]: iters left: 1 (9 enodes)
1552122459.015 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.015 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122459.015 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122459.015 * * [simplify]: Extracting #3: cost 4 inf + 1
1552122459.015 * * [simplify]: Extracting #4: cost 0 inf + 245
1552122459.015 * [simplify]: Simplified to (sqrt (sqrt k))
1552122459.015 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1552122459.015 * * * * [progress]: [ 110 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1) (sqrt k)))>
1552122459.015 * [simplify]: Simplifying (sqrt k)
1552122459.016 * * [simplify]: iters left: 1 (2 enodes)
1552122459.016 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.016 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122459.016 * * [simplify]: Extracting #2: cost 2 inf + 1
1552122459.016 * * [simplify]: Extracting #3: cost 0 inf + 83
1552122459.017 * [simplify]: Simplified to (sqrt k)
1552122459.017 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) 1) (sqrt k)))
1552122459.017 * * * * [progress]: [ 111 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))))))>
1552122459.017 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2)
1552122459.017 * * [simplify]: iters left: 5 (9 enodes)
1552122459.022 * * [simplify]: iters left: 4 (33 enodes)
1552122459.033 * * [simplify]: iters left: 3 (50 enodes)
1552122459.048 * * [simplify]: iters left: 2 (80 enodes)
1552122459.074 * * [simplify]: iters left: 1 (110 enodes)
1552122459.102 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.102 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.102 * * [simplify]: Extracting #2: cost 28 inf + 1
1552122459.102 * * [simplify]: Extracting #3: cost 31 inf + 299
1552122459.103 * * [simplify]: Extracting #4: cost 2 inf + 2089
1552122459.105 * * [simplify]: Extracting #5: cost 0 inf + 2173
1552122459.106 * [simplify]: Simplified to (sqrt (/ (* PI n) 1/2))
1552122459.106 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))))))
1552122459.106 * * * * [progress]: [ 112 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))))))>
1552122459.107 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2)
1552122459.107 * * [simplify]: iters left: 5 (9 enodes)
1552122459.112 * * [simplify]: iters left: 4 (33 enodes)
1552122459.122 * * [simplify]: iters left: 3 (50 enodes)
1552122459.134 * * [simplify]: iters left: 2 (80 enodes)
1552122459.145 * * [simplify]: iters left: 1 (110 enodes)
1552122459.160 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.160 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.160 * * [simplify]: Extracting #2: cost 28 inf + 1
1552122459.160 * * [simplify]: Extracting #3: cost 31 inf + 299
1552122459.160 * * [simplify]: Extracting #4: cost 2 inf + 2089
1552122459.161 * * [simplify]: Extracting #5: cost 0 inf + 2173
1552122459.162 * [simplify]: Simplified to (sqrt (/ (* PI n) 1/2))
1552122459.162 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- (* 1/2 k))))))
1552122459.162 * * * * [progress]: [ 113 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))))))>
1552122459.162 * [simplify]: Simplifying (pow (* (cbrt (/ (* -2 PI) (/ -1 n))) (cbrt (/ (* -2 PI) (/ -1 n)))) (- 1/2 (* 1/2 k)))
1552122459.162 * * [simplify]: iters left: 6 (14 enodes)
1552122459.169 * * [simplify]: iters left: 5 (50 enodes)
1552122459.185 * * [simplify]: iters left: 4 (77 enodes)
1552122459.209 * * [simplify]: iters left: 3 (114 enodes)
1552122459.238 * * [simplify]: iters left: 2 (152 enodes)
1552122459.280 * * [simplify]: iters left: 1 (186 enodes)
1552122459.331 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.331 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.331 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122459.332 * * [simplify]: Extracting #3: cost 19 inf + 1
1552122459.332 * * [simplify]: Extracting #4: cost 37 inf + 88
1552122459.332 * * [simplify]: Extracting #5: cost 39 inf + 509
1552122459.333 * * [simplify]: Extracting #6: cost 11 inf + 2293
1552122459.335 * * [simplify]: Extracting #7: cost 0 inf + 3982
1552122459.337 * [simplify]: Simplified to (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k)))
1552122459.337 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (cbrt (/ (* PI n) 1/2)) (cbrt (/ (* PI n) 1/2))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (cbrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))))))
1552122459.337 * * * * [progress]: [ 114 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))))))>
1552122459.338 * [simplify]: Simplifying (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122459.338 * * [simplify]: iters left: 6 (13 enodes)
1552122459.344 * * [simplify]: iters left: 5 (47 enodes)
1552122459.359 * * [simplify]: iters left: 4 (74 enodes)
1552122459.382 * * [simplify]: iters left: 3 (111 enodes)
1552122459.413 * * [simplify]: iters left: 2 (149 enodes)
1552122459.451 * * [simplify]: iters left: 1 (183 enodes)
1552122459.474 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.475 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.475 * * [simplify]: Extracting #2: cost 11 inf + 0
1552122459.475 * * [simplify]: Extracting #3: cost 39 inf + 1
1552122459.475 * * [simplify]: Extracting #4: cost 41 inf + 261
1552122459.476 * * [simplify]: Extracting #5: cost 9 inf + 2011
1552122459.477 * * [simplify]: Extracting #6: cost 1 inf + 2923
1552122459.478 * * [simplify]: Extracting #7: cost 0 inf + 3338
1552122459.479 * [simplify]: Simplified to (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2)))
1552122459.479 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (sqrt (* 2 (* PI n))) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (sqrt (/ (* -2 PI) (/ -1 n))) (- 1/2 (* 1/2 k))))))
1552122459.480 * * * * [progress]: [ 115 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))))))>
1552122459.480 * [simplify]: Simplifying (pow (/ -2 (* (cbrt (/ -1 n)) (cbrt (/ -1 n)))) (- 1/2 (* 1/2 k)))
1552122459.480 * * [simplify]: iters left: 6 (12 enodes)
1552122459.487 * * [simplify]: iters left: 5 (41 enodes)
1552122459.500 * * [simplify]: iters left: 4 (53 enodes)
1552122459.515 * * [simplify]: iters left: 3 (60 enodes)
1552122459.533 * * [simplify]: iters left: 2 (68 enodes)
1552122459.552 * * [simplify]: iters left: 1 (77 enodes)
1552122459.564 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.564 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.564 * * [simplify]: Extracting #2: cost 14 inf + 0
1552122459.564 * * [simplify]: Extracting #3: cost 23 inf + 2
1552122459.564 * * [simplify]: Extracting #4: cost 19 inf + 214
1552122459.565 * * [simplify]: Extracting #5: cost 12 inf + 505
1552122459.565 * * [simplify]: Extracting #6: cost 6 inf + 1198
1552122459.565 * * [simplify]: Extracting #7: cost 1 inf + 2384
1552122459.566 * * [simplify]: Extracting #8: cost 0 inf + 2879
1552122459.566 * [simplify]: Simplified to (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122459.566 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (/ -2 (cbrt (/ -1 n))) (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (cbrt (/ -1 n))) (- 1/2 (* 1/2 k))))))
1552122459.566 * * * * [progress]: [ 116 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))))))>
1552122459.567 * [simplify]: Simplifying (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* 1/2 k)))
1552122459.567 * * [simplify]: iters left: 6 (11 enodes)
1552122459.570 * * [simplify]: iters left: 5 (36 enodes)
1552122459.581 * * [simplify]: iters left: 4 (46 enodes)
1552122459.594 * * [simplify]: iters left: 3 (53 enodes)
1552122459.610 * * [simplify]: iters left: 2 (61 enodes)
1552122459.629 * * [simplify]: iters left: 1 (70 enodes)
1552122459.646 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.646 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.646 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122459.646 * * [simplify]: Extracting #3: cost 19 inf + 2
1552122459.646 * * [simplify]: Extracting #4: cost 19 inf + 47
1552122459.646 * * [simplify]: Extracting #5: cost 11 inf + 340
1552122459.647 * * [simplify]: Extracting #6: cost 4 inf + 794
1552122459.647 * * [simplify]: Extracting #7: cost 0 inf + 1829
1552122459.648 * [simplify]: Simplified to (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2)))
1552122459.648 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ -2 (sqrt (/ -1 n))) (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (/ PI (sqrt (/ -1 n))) (- 1/2 (* 1/2 k))))))
1552122459.648 * * * * [progress]: [ 117 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 1) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))))))>
1552122459.648 * [simplify]: Simplifying (pow (/ -2 1) (- 1/2 (* 1/2 k)))
1552122459.648 * * [simplify]: iters left: 5 (8 enodes)
1552122459.653 * * [simplify]: iters left: 4 (27 enodes)
1552122459.662 * * [simplify]: iters left: 3 (39 enodes)
1552122459.673 * * [simplify]: iters left: 2 (45 enodes)
1552122459.686 * * [simplify]: iters left: 1 (49 enodes)
1552122459.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.696 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.696 * * [simplify]: Extracting #2: cost 8 inf + 1
1552122459.696 * * [simplify]: Extracting #3: cost 14 inf + 2
1552122459.696 * * [simplify]: Extracting #4: cost 9 inf + 130
1552122459.697 * * [simplify]: Extracting #5: cost 1 inf + 796
1552122459.700 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122459.700 * [simplify]: Simplified to (pow -2 (- 1/2 (* 1/2 k)))
1552122459.700 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow -2 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ -1 n)) (- 1/2 (* 1/2 k))))))
1552122459.700 * * * * [progress]: [ 118 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ -2 -1) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))))))>
1552122459.700 * [simplify]: Simplifying (pow (/ -2 -1) (- 1/2 (* 1/2 k)))
1552122459.700 * * [simplify]: iters left: 5 (8 enodes)
1552122459.704 * * [simplify]: iters left: 4 (28 enodes)
1552122459.708 * * [simplify]: iters left: 3 (38 enodes)
1552122459.719 * * [simplify]: iters left: 2 (45 enodes)
1552122459.732 * * [simplify]: iters left: 1 (53 enodes)
1552122459.745 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.746 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.746 * * [simplify]: Extracting #2: cost 8 inf + 1
1552122459.746 * * [simplify]: Extracting #3: cost 14 inf + 2
1552122459.746 * * [simplify]: Extracting #4: cost 9 inf + 130
1552122459.746 * * [simplify]: Extracting #5: cost 2 inf + 754
1552122459.746 * * [simplify]: Extracting #6: cost 0 inf + 1089
1552122459.746 * [simplify]: Simplified to (pow 2 (- 1/2 (* 1/2 k)))
1552122459.746 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow 2 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ PI (/ 1 n)) (- 1/2 (* 1/2 k))))))
1552122459.747 * * * * [progress]: [ 119 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow 1 (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))>
1552122459.747 * [simplify]: Simplifying (pow 1 (- 1/2 (* 1/2 k)))
1552122459.747 * * [simplify]: iters left: 5 (6 enodes)
1552122459.749 * * [simplify]: iters left: 4 (21 enodes)
1552122459.752 * * [simplify]: iters left: 3 (33 enodes)
1552122459.758 * * [simplify]: iters left: 2 (39 enodes)
1552122459.763 * * [simplify]: iters left: 1 (43 enodes)
1552122459.770 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.770 * * [simplify]: Extracting #1: cost 0 inf + 1
1552122459.770 * [simplify]: Simplified to 1
1552122459.770 * [simplify]: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))
1552122459.770 * * * * [progress]: [ 120 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))))))>
1552122459.770 * [simplify]: Simplifying (pow (* -2 PI) (- 1/2 (* 1/2 k)))
1552122459.770 * * [simplify]: iters left: 5 (8 enodes)
1552122459.772 * * [simplify]: iters left: 4 (28 enodes)
1552122459.780 * * [simplify]: iters left: 3 (38 enodes)
1552122459.791 * * [simplify]: iters left: 2 (45 enodes)
1552122459.803 * * [simplify]: iters left: 1 (53 enodes)
1552122459.820 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.820 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.820 * * [simplify]: Extracting #2: cost 12 inf + 0
1552122459.820 * * [simplify]: Extracting #3: cost 16 inf + 3
1552122459.820 * * [simplify]: Extracting #4: cost 9 inf + 215
1552122459.820 * * [simplify]: Extracting #5: cost 2 inf + 880
1552122459.821 * * [simplify]: Extracting #6: cost 0 inf + 1256
1552122459.821 * [simplify]: Simplified to (pow (* -2 PI) (- 1/2 (* 1/2 k)))
1552122459.821 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* -2 PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow (/ 1 (/ -1 n)) (- 1/2 (* 1/2 k))))))
1552122459.821 * * * * [progress]: [ 121 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))>
1552122459.821 * [simplify]: Simplifying (pow (/ (* -2 PI) -1) (- 1/2 (* 1/2 k)))
1552122459.821 * * [simplify]: iters left: 5 (10 enodes)
1552122459.824 * * [simplify]: iters left: 4 (36 enodes)
1552122459.831 * * [simplify]: iters left: 3 (53 enodes)
1552122459.838 * * [simplify]: iters left: 2 (62 enodes)
1552122459.851 * * [simplify]: iters left: 1 (70 enodes)
1552122459.871 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122459.871 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122459.871 * * [simplify]: Extracting #2: cost 16 inf + 0
1552122459.872 * * [simplify]: Extracting #3: cost 20 inf + 5
1552122459.872 * * [simplify]: Extracting #4: cost 4 inf + 967
1552122459.873 * * [simplify]: Extracting #5: cost 0 inf + 1426
1552122459.873 * [simplify]: Simplified to (pow (* 2 PI) (- 1/2 (* 1/2 k)))
1552122459.873 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (- 1/2 (* 1/2 k))) (/ (sqrt k) (pow n (- 1/2 (* 1/2 k))))))
1552122459.873 * * * * [progress]: [ 122 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))))>
1552122459.874 * [simplify]: Simplifying (* (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))
1552122459.874 * * [simplify]: iters left: 6 (14 enodes)
1552122459.881 * * [simplify]: iters left: 5 (50 enodes)
1552122459.897 * * [simplify]: iters left: 4 (77 enodes)
1552122459.922 * * [simplify]: iters left: 3 (114 enodes)
1552122459.958 * * [simplify]: iters left: 2 (152 enodes)
1552122459.983 * * [simplify]: iters left: 1 (186 enodes)
1552122460.006 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122460.006 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122460.006 * * [simplify]: Extracting #2: cost 5 inf + 0
1552122460.006 * * [simplify]: Extracting #3: cost 8 inf + 0
1552122460.006 * * [simplify]: Extracting #4: cost 35 inf + 0
1552122460.006 * * [simplify]: Extracting #5: cost 48 inf + 132
1552122460.007 * * [simplify]: Extracting #6: cost 22 inf + 1471
1552122460.008 * * [simplify]: Extracting #7: cost 3 inf + 4453
1552122460.009 * * [simplify]: Extracting #8: cost 0 inf + 4912
1552122460.010 * [simplify]: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))))
1552122460.010 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))))) (/ (sqrt k) (cbrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))))
1552122460.010 * * * * [progress]: [ 123 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))))>
1552122460.010 * [simplify]: Simplifying (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))
1552122460.010 * * [simplify]: iters left: 6 (13 enodes)
1552122460.014 * * [simplify]: iters left: 5 (47 enodes)
1552122460.030 * * [simplify]: iters left: 4 (74 enodes)
1552122460.055 * * [simplify]: iters left: 3 (111 enodes)
1552122460.071 * * [simplify]: iters left: 2 (149 enodes)
1552122460.099 * * [simplify]: iters left: 1 (183 enodes)
1552122460.144 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122460.144 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122460.144 * * [simplify]: Extracting #2: cost 6 inf + 0
1552122460.145 * * [simplify]: Extracting #3: cost 33 inf + 0
1552122460.145 * * [simplify]: Extracting #4: cost 43 inf + 299
1552122460.146 * * [simplify]: Extracting #5: cost 17 inf + 1556
1552122460.151 * * [simplify]: Extracting #6: cost 3 inf + 3008
1552122460.153 * * [simplify]: Extracting #7: cost 0 inf + 3838
1552122460.154 * [simplify]: Simplified to (sqrt (pow (/ (* PI n) 1/2) (- 1/2 (* 1/2 k))))
1552122460.155 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (/ (* PI n) 1/2) (- 1/2 (* 1/2 k)))) (/ (sqrt k) (sqrt (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))))))
1552122460.155 * * * * [progress]: [ 124 / 135 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))>
1552122460.155 * * * * [progress]: [ 125 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) 1/2) (* (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k)))))>
1552122460.155 * [simplify]: Simplifying (pow (/ (* -2 PI) (/ -1 n)) 1/2)
1552122460.155 * * [simplify]: iters left: 5 (9 enodes)
1552122460.159 * * [simplify]: iters left: 4 (33 enodes)
1552122460.164 * * [simplify]: iters left: 3 (50 enodes)
1552122460.173 * * [simplify]: iters left: 2 (80 enodes)
1552122460.184 * * [simplify]: iters left: 1 (110 enodes)
1552122460.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122460.203 * * [simplify]: Extracting #1: cost 4 inf + 0
1552122460.203 * * [simplify]: Extracting #2: cost 28 inf + 1
1552122460.204 * * [simplify]: Extracting #3: cost 31 inf + 299
1552122460.205 * * [simplify]: Extracting #4: cost 2 inf + 2089
1552122460.206 * * [simplify]: Extracting #5: cost 0 inf + 2173
1552122460.207 * [simplify]: Simplified to (sqrt (/ (* PI n) 1/2))
1552122460.208 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (* PI n) 1/2)) (* (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (* 1/2 k)))))
1552122460.208 * * * * [progress]: [ 126 / 135 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))))>
1552122460.208 * * * * [progress]: [ 127 / 135 ] 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)))>
1552122460.208 * [simplify]: Simplifying (- (+ (* 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)))))
1552122460.209 * * [simplify]: iters left: 6 (37 enodes)
1552122460.229 * * [simplify]: iters left: 5 (179 enodes)
1552122460.298 * * [simplify]: iters left: 4 (458 enodes)
1552122460.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122460.506 * * [simplify]: Extracting #1: cost 57 inf + 0
1552122460.506 * * [simplify]: Extracting #2: cost 287 inf + 0
1552122460.508 * * [simplify]: Extracting #3: cost 485 inf + 158
1552122460.510 * * [simplify]: Extracting #4: cost 473 inf + 4949
1552122460.523 * * [simplify]: Extracting #5: cost 294 inf + 68227
1552122460.601 * * [simplify]: Extracting #6: cost 43 inf + 204764
1552122460.674 * * [simplify]: Extracting #7: cost 0 inf + 227627
1552122461.085 * * [simplify]: Extracting #8: cost 0 inf + 222950
1552122461.153 * * [simplify]: Extracting #9: cost 0 inf + 222310
1552122461.224 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1552122461.224 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k)))
1552122461.225 * * * * [progress]: [ 128 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1552122461.225 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1552122461.225 * * [simplify]: iters left: 6 (15 enodes)
1552122461.234 * * [simplify]: iters left: 5 (63 enodes)
1552122461.255 * * [simplify]: iters left: 4 (108 enodes)
1552122461.292 * * [simplify]: iters left: 3 (260 enodes)
1552122461.373 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122461.373 * * [simplify]: Extracting #1: cost 17 inf + 0
1552122461.373 * * [simplify]: Extracting #2: cost 115 inf + 0
1552122461.374 * * [simplify]: Extracting #3: cost 221 inf + 4
1552122461.375 * * [simplify]: Extracting #4: cost 174 inf + 5827
1552122461.380 * * [simplify]: Extracting #5: cost 46 inf + 35251
1552122461.398 * * [simplify]: Extracting #6: cost 0 inf + 47711
1552122461.416 * * [simplify]: Extracting #7: cost 0 inf + 47571
1552122461.425 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1552122461.425 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122461.425 * * * * [progress]: [ 129 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1552122461.425 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1552122461.425 * * [simplify]: iters left: 6 (15 enodes)
1552122461.430 * * [simplify]: iters left: 5 (60 enodes)
1552122461.439 * * [simplify]: iters left: 4 (111 enodes)
1552122461.469 * * [simplify]: iters left: 3 (294 enodes)
1552122461.611 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122461.611 * * [simplify]: Extracting #1: cost 16 inf + 0
1552122461.611 * * [simplify]: Extracting #2: cost 142 inf + 0
1552122461.612 * * [simplify]: Extracting #3: cost 317 inf + 187
1552122461.614 * * [simplify]: Extracting #4: cost 290 inf + 2919
1552122461.620 * * [simplify]: Extracting #5: cost 105 inf + 47243
1552122461.635 * * [simplify]: Extracting #6: cost 3 inf + 79409
1552122461.656 * * [simplify]: Extracting #7: cost 0 inf + 77357
1552122461.670 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1552122461.670 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122461.671 * * * * [progress]: [ 130 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122461.671 * [simplify]: Simplifying (* 2 (* n PI))
1552122461.671 * * [simplify]: iters left: 4 (5 enodes)
1552122461.672 * * [simplify]: iters left: 3 (19 enodes)
1552122461.675 * * [simplify]: iters left: 2 (27 enodes)
1552122461.679 * * [simplify]: iters left: 1 (32 enodes)
1552122461.683 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122461.683 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122461.684 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122461.684 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122461.684 * [simplify]: Simplified to (* (* PI n) 2)
1552122461.684 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122461.684 * * * * [progress]: [ 131 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122461.684 * [simplify]: Simplifying (* 2 (* n PI))
1552122461.685 * * [simplify]: iters left: 4 (5 enodes)
1552122461.687 * * [simplify]: iters left: 3 (19 enodes)
1552122461.694 * * [simplify]: iters left: 2 (27 enodes)
1552122461.702 * * [simplify]: iters left: 1 (32 enodes)
1552122461.710 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122461.710 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122461.710 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122461.710 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122461.710 * [simplify]: Simplified to (* (* PI n) 2)
1552122461.710 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122461.711 * * * * [progress]: [ 132 / 135 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt k)))>
1552122461.711 * [simplify]: Simplifying (* 2 (* n PI))
1552122461.711 * * [simplify]: iters left: 4 (5 enodes)
1552122461.714 * * [simplify]: iters left: 3 (19 enodes)
1552122461.716 * * [simplify]: iters left: 2 (27 enodes)
1552122461.720 * * [simplify]: iters left: 1 (32 enodes)
1552122461.724 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122461.724 * * [simplify]: Extracting #1: cost 8 inf + 0
1552122461.724 * * [simplify]: Extracting #2: cost 7 inf + 45
1552122461.724 * * [simplify]: Extracting #3: cost 0 inf + 421
1552122461.724 * [simplify]: Simplified to (* (* PI n) 2)
1552122461.724 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (* 1/2 k))) (sqrt k)))
1552122461.724 * * * * [progress]: [ 133 / 135 ] 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)))))))))))))))))))))))>
1552122461.724 * [simplify]: Simplifying (- (+ (* +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))))))))))))))))))))))
1552122461.725 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122461.725 * * * * [progress]: [ 134 / 135 ] 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)))))))))>
1552122461.725 * [simplify]: Simplifying (- (+ (* +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))))))))
1552122461.725 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122461.725 * * * * [progress]: [ 135 / 135 ] 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))))))))))))>
1552122461.725 * [simplify]: Simplifying (- (+ (* +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)))))))))))
1552122461.725 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1552122461.726 * * * [progress]: adding candidates to table
1552122463.265 * [progress]: [Phase 3 of 3] Extracting.
1552122463.265 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>)
1552122463.265 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1552122463.265 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>)
1552122463.319 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- 1/2 (* 1/2 k))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (pow 2 (- 1/2 (* 1/2 k))) (/ (pow (* PI n) (- 1/2 (* 1/2 k))) (sqrt k))))> #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))> #<alt (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>)
1552122463.375 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
1552122463.375 * [simplify]: Simplifying (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122463.375 * * [simplify]: iters left: 6 (15 enodes)
1552122463.376 * * [simplify]: iters left: 5 (20 enodes)
1552122463.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1552122463.377 * * [simplify]: Extracting #1: cost 3 inf + 0
1552122463.377 * * [simplify]: Extracting #2: cost 4 inf + 1
1552122463.377 * * [simplify]: Extracting #3: cost 6 inf + 1
1552122463.377 * * [simplify]: Extracting #4: cost 6 inf + 43
1552122463.377 * * [simplify]: Extracting #5: cost 10 inf + 43
1552122463.377 * * [simplify]: Extracting #6: cost 10 inf + 45
1552122463.377 * * [simplify]: Extracting #7: cost 5 inf + 214
1552122463.377 * * [simplify]: Extracting #8: cost 3 inf + 672
1552122463.377 * * [simplify]: Extracting #9: cost 1 inf + 1584
1552122463.377 * * [simplify]: Extracting #10: cost 0 inf + 2120
1552122463.378 * [simplify]: Simplified to (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1552122471.305 * [regime-testing]: Baseline error score: 0.3798797952586082
1552122471.306 * [regime-testing]: Oracle error score: 0.04905874697740284
1552122471.308 * [regime-testing]: End program error score: 0.3798797952586082