1553948553.412 * [progress]: [Phase 1 of 3] Setting up.
1553948553.412 * * * [progress]: [1/2] Preparing points
1553948553.566 * * * [progress]: [2/2] Setting up program.
1553948553.572 * [progress]: [Phase 2 of 3] Improving.
1553948553.572 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1553948553.573 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1553948553.573 * * [simplify]: iters left: 6 (13 enodes)
1553948553.580 * * [simplify]: iters left: 5 (54 enodes)
1553948553.597 * * [simplify]: iters left: 4 (75 enodes)
1553948553.619 * * [simplify]: iters left: 3 (94 enodes)
1553948553.662 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948553.662 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948553.662 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948553.662 * * [simplify]: Extracting #3: cost 23 inf + 2
1553948553.662 * * [simplify]: Extracting #4: cost 18 inf + 378
1553948553.663 * * [simplify]: Extracting #5: cost 6 inf + 1792
1553948553.664 * * [simplify]: Extracting #6: cost 1 inf + 3201
1553948553.665 * * [simplify]: Extracting #7: cost 0 inf + 3656
1553948553.667 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553948553.667 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
1553948553.681 * * [progress]: iteration 1 / 4
1553948553.681 * * * [progress]: picking best candidate
1553948553.692 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1553948553.692 * * * [progress]: localizing error
1553948553.716 * * * [progress]: generating rewritten candidates
1553948553.716 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1553948553.722 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1553948553.727 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1553948553.741 * * * [progress]: generating series expansions
1553948553.742 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1553948553.742 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553948553.742 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553948553.742 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948553.742 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948553.742 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948553.742 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948553.742 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.742 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.742 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948553.742 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.742 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.742 * [taylor]: Taking taylor expansion of k in k
1553948553.742 * [backup-simplify]: Simplify 0 into 0
1553948553.742 * [backup-simplify]: Simplify 1 into 1
1553948553.742 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948553.742 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948553.742 * [taylor]: Taking taylor expansion of 2 in k
1553948553.742 * [backup-simplify]: Simplify 2 into 2
1553948553.742 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948553.742 * [taylor]: Taking taylor expansion of n in k
1553948553.742 * [backup-simplify]: Simplify n into n
1553948553.742 * [taylor]: Taking taylor expansion of PI in k
1553948553.742 * [backup-simplify]: Simplify PI into PI
1553948553.743 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948553.743 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948553.743 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948553.743 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948553.744 * [backup-simplify]: Simplify (- 0) into 0
1553948553.744 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.744 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948553.745 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948553.745 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948553.745 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948553.745 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948553.745 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948553.745 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.745 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.745 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948553.745 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.745 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.745 * [taylor]: Taking taylor expansion of k in n
1553948553.745 * [backup-simplify]: Simplify k into k
1553948553.745 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948553.745 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.745 * [taylor]: Taking taylor expansion of 2 in n
1553948553.745 * [backup-simplify]: Simplify 2 into 2
1553948553.745 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.745 * [taylor]: Taking taylor expansion of n in n
1553948553.745 * [backup-simplify]: Simplify 0 into 0
1553948553.745 * [backup-simplify]: Simplify 1 into 1
1553948553.745 * [taylor]: Taking taylor expansion of PI in n
1553948553.745 * [backup-simplify]: Simplify PI into PI
1553948553.746 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948553.746 * [backup-simplify]: Simplify (* 2 0) into 0
1553948553.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948553.749 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948553.750 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.750 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948553.750 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948553.751 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948553.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.753 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948553.754 * [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)))))
1553948553.754 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948553.754 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948553.754 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948553.754 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948553.754 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.754 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.754 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948553.754 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.754 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.754 * [taylor]: Taking taylor expansion of k in n
1553948553.754 * [backup-simplify]: Simplify k into k
1553948553.754 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948553.754 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.754 * [taylor]: Taking taylor expansion of 2 in n
1553948553.754 * [backup-simplify]: Simplify 2 into 2
1553948553.754 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.754 * [taylor]: Taking taylor expansion of n in n
1553948553.754 * [backup-simplify]: Simplify 0 into 0
1553948553.755 * [backup-simplify]: Simplify 1 into 1
1553948553.755 * [taylor]: Taking taylor expansion of PI in n
1553948553.755 * [backup-simplify]: Simplify PI into PI
1553948553.755 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948553.755 * [backup-simplify]: Simplify (* 2 0) into 0
1553948553.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948553.759 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948553.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.760 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948553.760 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948553.760 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948553.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.762 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948553.764 * [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)))))
1553948553.764 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948553.764 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948553.764 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948553.764 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.764 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.764 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948553.764 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.764 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.764 * [taylor]: Taking taylor expansion of k in k
1553948553.764 * [backup-simplify]: Simplify 0 into 0
1553948553.764 * [backup-simplify]: Simplify 1 into 1
1553948553.764 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948553.764 * [taylor]: Taking taylor expansion of (log n) in k
1553948553.764 * [taylor]: Taking taylor expansion of n in k
1553948553.765 * [backup-simplify]: Simplify n into n
1553948553.765 * [backup-simplify]: Simplify (log n) into (log n)
1553948553.765 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948553.765 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948553.765 * [taylor]: Taking taylor expansion of 2 in k
1553948553.765 * [backup-simplify]: Simplify 2 into 2
1553948553.765 * [taylor]: Taking taylor expansion of PI in k
1553948553.765 * [backup-simplify]: Simplify PI into PI
1553948553.765 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.766 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.767 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948553.767 * [backup-simplify]: Simplify (- 0) into 0
1553948553.767 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.768 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.769 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948553.770 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948553.771 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948553.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948553.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948553.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948553.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948553.782 * [backup-simplify]: Simplify (- 0) into 0
1553948553.783 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.784 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948553.785 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948553.785 * [taylor]: Taking taylor expansion of 0 in k
1553948553.785 * [backup-simplify]: Simplify 0 into 0
1553948553.785 * [backup-simplify]: Simplify 0 into 0
1553948553.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948553.786 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948553.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948553.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.788 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948553.788 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948553.789 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948553.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948553.792 * [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)))))))
1553948553.793 * [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)))))))
1553948553.794 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948553.796 * [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
1553948553.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948553.797 * [backup-simplify]: Simplify (- 0) into 0
1553948553.797 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.798 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.799 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948553.800 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948553.800 * [taylor]: Taking taylor expansion of 0 in k
1553948553.800 * [backup-simplify]: Simplify 0 into 0
1553948553.800 * [backup-simplify]: Simplify 0 into 0
1553948553.800 * [backup-simplify]: Simplify 0 into 0
1553948553.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948553.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948553.806 * [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
1553948553.807 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948553.808 * [backup-simplify]: Simplify (- 0) into 0
1553948553.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948553.814 * [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)))))
1553948553.819 * [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)))))
1553948553.829 * [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)))))
1553948553.829 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553948553.829 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553948553.829 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948553.830 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948553.830 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948553.830 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948553.830 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.830 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948553.830 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.830 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.830 * [taylor]: Taking taylor expansion of k in k
1553948553.830 * [backup-simplify]: Simplify 0 into 0
1553948553.830 * [backup-simplify]: Simplify 1 into 1
1553948553.830 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.830 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948553.830 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948553.830 * [taylor]: Taking taylor expansion of 2 in k
1553948553.830 * [backup-simplify]: Simplify 2 into 2
1553948553.830 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948553.830 * [taylor]: Taking taylor expansion of PI in k
1553948553.830 * [backup-simplify]: Simplify PI into PI
1553948553.830 * [taylor]: Taking taylor expansion of n in k
1553948553.831 * [backup-simplify]: Simplify n into n
1553948553.831 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948553.831 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948553.831 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948553.831 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948553.832 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948553.832 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948553.832 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948553.832 * [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))))
1553948553.832 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948553.832 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948553.832 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948553.832 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948553.832 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.833 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948553.833 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.833 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.833 * [taylor]: Taking taylor expansion of k in n
1553948553.833 * [backup-simplify]: Simplify k into k
1553948553.833 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.833 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948553.833 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948553.833 * [taylor]: Taking taylor expansion of 2 in n
1553948553.833 * [backup-simplify]: Simplify 2 into 2
1553948553.833 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.833 * [taylor]: Taking taylor expansion of PI in n
1553948553.833 * [backup-simplify]: Simplify PI into PI
1553948553.833 * [taylor]: Taking taylor expansion of n in n
1553948553.833 * [backup-simplify]: Simplify 0 into 0
1553948553.833 * [backup-simplify]: Simplify 1 into 1
1553948553.833 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.834 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.835 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.835 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948553.835 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948553.835 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948553.836 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948553.838 * [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)))
1553948553.839 * [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))))
1553948553.839 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948553.839 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948553.839 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948553.839 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948553.839 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.839 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948553.839 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.839 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.839 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.839 * [taylor]: Taking taylor expansion of k in n
1553948553.839 * [backup-simplify]: Simplify k into k
1553948553.839 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.839 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948553.839 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948553.839 * [taylor]: Taking taylor expansion of 2 in n
1553948553.839 * [backup-simplify]: Simplify 2 into 2
1553948553.839 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.839 * [taylor]: Taking taylor expansion of PI in n
1553948553.839 * [backup-simplify]: Simplify PI into PI
1553948553.839 * [taylor]: Taking taylor expansion of n in n
1553948553.839 * [backup-simplify]: Simplify 0 into 0
1553948553.839 * [backup-simplify]: Simplify 1 into 1
1553948553.840 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.840 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.841 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948553.841 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948553.842 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948553.843 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948553.844 * [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)))
1553948553.845 * [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))))
1553948553.845 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948553.845 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948553.845 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948553.845 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.845 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948553.845 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.845 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.845 * [taylor]: Taking taylor expansion of k in k
1553948553.845 * [backup-simplify]: Simplify 0 into 0
1553948553.846 * [backup-simplify]: Simplify 1 into 1
1553948553.846 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.846 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948553.846 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948553.846 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948553.846 * [taylor]: Taking taylor expansion of 2 in k
1553948553.846 * [backup-simplify]: Simplify 2 into 2
1553948553.846 * [taylor]: Taking taylor expansion of PI in k
1553948553.846 * [backup-simplify]: Simplify PI into PI
1553948553.846 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.847 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.848 * [taylor]: Taking taylor expansion of (log n) in k
1553948553.848 * [taylor]: Taking taylor expansion of n in k
1553948553.848 * [backup-simplify]: Simplify n into n
1553948553.848 * [backup-simplify]: Simplify (log n) into (log n)
1553948553.848 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948553.848 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948553.849 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948553.849 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948553.850 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948553.852 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948553.853 * [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))))
1553948553.854 * [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))))
1553948553.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948553.856 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948553.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948553.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948553.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948553.859 * [backup-simplify]: Simplify (- 0) into 0
1553948553.859 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.861 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948553.862 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948553.864 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948553.864 * [taylor]: Taking taylor expansion of 0 in k
1553948553.864 * [backup-simplify]: Simplify 0 into 0
1553948553.864 * [backup-simplify]: Simplify 0 into 0
1553948553.864 * [backup-simplify]: Simplify 0 into 0
1553948553.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948553.869 * [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
1553948553.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948553.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948553.871 * [backup-simplify]: Simplify (- 0) into 0
1553948553.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948553.874 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948553.877 * [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
1553948553.877 * [taylor]: Taking taylor expansion of 0 in k
1553948553.877 * [backup-simplify]: Simplify 0 into 0
1553948553.877 * [backup-simplify]: Simplify 0 into 0
1553948553.877 * [backup-simplify]: Simplify 0 into 0
1553948553.877 * [backup-simplify]: Simplify 0 into 0
1553948553.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.879 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.885 * [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
1553948553.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948553.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948553.887 * [backup-simplify]: Simplify (- 0) into 0
1553948553.888 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948553.890 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948553.892 * [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
1553948553.892 * [taylor]: Taking taylor expansion of 0 in k
1553948553.892 * [backup-simplify]: Simplify 0 into 0
1553948553.892 * [backup-simplify]: Simplify 0 into 0
1553948553.892 * [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)))))
1553948553.892 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553948553.892 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553948553.893 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948553.893 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948553.893 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948553.893 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948553.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948553.893 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.893 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.893 * [taylor]: Taking taylor expansion of k in k
1553948553.893 * [backup-simplify]: Simplify 0 into 0
1553948553.893 * [backup-simplify]: Simplify 1 into 1
1553948553.893 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.893 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.893 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.893 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948553.893 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948553.893 * [taylor]: Taking taylor expansion of -2 in k
1553948553.893 * [backup-simplify]: Simplify -2 into -2
1553948553.893 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948553.893 * [taylor]: Taking taylor expansion of PI in k
1553948553.893 * [backup-simplify]: Simplify PI into PI
1553948553.893 * [taylor]: Taking taylor expansion of n in k
1553948553.893 * [backup-simplify]: Simplify n into n
1553948553.893 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948553.893 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948553.893 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948553.894 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948553.894 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.894 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948553.894 * [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)))
1553948553.894 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948553.894 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948553.894 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948553.894 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948553.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948553.894 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.894 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.894 * [taylor]: Taking taylor expansion of k in n
1553948553.894 * [backup-simplify]: Simplify k into k
1553948553.894 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.894 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.894 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.894 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948553.894 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948553.894 * [taylor]: Taking taylor expansion of -2 in n
1553948553.894 * [backup-simplify]: Simplify -2 into -2
1553948553.894 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.894 * [taylor]: Taking taylor expansion of PI in n
1553948553.894 * [backup-simplify]: Simplify PI into PI
1553948553.894 * [taylor]: Taking taylor expansion of n in n
1553948553.894 * [backup-simplify]: Simplify 0 into 0
1553948553.894 * [backup-simplify]: Simplify 1 into 1
1553948553.895 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.895 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948553.896 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948553.896 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948553.896 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948553.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948553.897 * [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)))
1553948553.898 * [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))))
1553948553.898 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948553.898 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948553.898 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948553.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948553.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948553.898 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.898 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.898 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.898 * [taylor]: Taking taylor expansion of k in n
1553948553.898 * [backup-simplify]: Simplify k into k
1553948553.898 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.898 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.898 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.898 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948553.898 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948553.898 * [taylor]: Taking taylor expansion of -2 in n
1553948553.898 * [backup-simplify]: Simplify -2 into -2
1553948553.898 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.898 * [taylor]: Taking taylor expansion of PI in n
1553948553.898 * [backup-simplify]: Simplify PI into PI
1553948553.898 * [taylor]: Taking taylor expansion of n in n
1553948553.898 * [backup-simplify]: Simplify 0 into 0
1553948553.898 * [backup-simplify]: Simplify 1 into 1
1553948553.899 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.899 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948553.900 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948553.900 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948553.900 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948553.901 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948553.903 * [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)))
1553948553.904 * [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))))
1553948553.904 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948553.904 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948553.904 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948553.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948553.904 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.904 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.904 * [taylor]: Taking taylor expansion of k in k
1553948553.904 * [backup-simplify]: Simplify 0 into 0
1553948553.904 * [backup-simplify]: Simplify 1 into 1
1553948553.904 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.904 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.904 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.904 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948553.904 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948553.904 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948553.904 * [taylor]: Taking taylor expansion of -2 in k
1553948553.904 * [backup-simplify]: Simplify -2 into -2
1553948553.904 * [taylor]: Taking taylor expansion of PI in k
1553948553.904 * [backup-simplify]: Simplify PI into PI
1553948553.905 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948553.905 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948553.905 * [taylor]: Taking taylor expansion of (log n) in k
1553948553.905 * [taylor]: Taking taylor expansion of n in k
1553948553.905 * [backup-simplify]: Simplify n into n
1553948553.905 * [backup-simplify]: Simplify (log n) into (log n)
1553948553.906 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948553.906 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.906 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948553.907 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948553.907 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948553.908 * [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))))
1553948553.909 * [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))))
1553948553.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948553.910 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948553.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948553.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948553.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948553.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.912 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948553.913 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948553.914 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948553.914 * [taylor]: Taking taylor expansion of 0 in k
1553948553.914 * [backup-simplify]: Simplify 0 into 0
1553948553.914 * [backup-simplify]: Simplify 0 into 0
1553948553.914 * [backup-simplify]: Simplify 0 into 0
1553948553.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.915 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948553.917 * [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
1553948553.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948553.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948553.919 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.920 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948553.922 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948553.924 * [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
1553948553.924 * [taylor]: Taking taylor expansion of 0 in k
1553948553.924 * [backup-simplify]: Simplify 0 into 0
1553948553.924 * [backup-simplify]: Simplify 0 into 0
1553948553.924 * [backup-simplify]: Simplify 0 into 0
1553948553.924 * [backup-simplify]: Simplify 0 into 0
1553948553.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.926 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.932 * [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
1553948553.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948553.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948553.934 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948553.934 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948553.936 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553948553.937 * [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
1553948553.937 * [taylor]: Taking taylor expansion of 0 in k
1553948553.937 * [backup-simplify]: Simplify 0 into 0
1553948553.937 * [backup-simplify]: Simplify 0 into 0
1553948553.938 * [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)))))
1553948553.938 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1553948553.938 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553948553.938 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553948553.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.938 * [taylor]: Taking taylor expansion of 2 in n
1553948553.938 * [backup-simplify]: Simplify 2 into 2
1553948553.938 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.938 * [taylor]: Taking taylor expansion of n in n
1553948553.938 * [backup-simplify]: Simplify 0 into 0
1553948553.938 * [backup-simplify]: Simplify 1 into 1
1553948553.938 * [taylor]: Taking taylor expansion of PI in n
1553948553.938 * [backup-simplify]: Simplify PI into PI
1553948553.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.938 * [taylor]: Taking taylor expansion of 2 in n
1553948553.938 * [backup-simplify]: Simplify 2 into 2
1553948553.938 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.938 * [taylor]: Taking taylor expansion of n in n
1553948553.938 * [backup-simplify]: Simplify 0 into 0
1553948553.938 * [backup-simplify]: Simplify 1 into 1
1553948553.938 * [taylor]: Taking taylor expansion of PI in n
1553948553.938 * [backup-simplify]: Simplify PI into PI
1553948553.939 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948553.939 * [backup-simplify]: Simplify (* 2 0) into 0
1553948553.939 * [backup-simplify]: Simplify 0 into 0
1553948553.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948553.941 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948553.941 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948553.942 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948553.942 * [backup-simplify]: Simplify 0 into 0
1553948553.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.943 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948553.943 * [backup-simplify]: Simplify 0 into 0
1553948553.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948553.945 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553948553.945 * [backup-simplify]: Simplify 0 into 0
1553948553.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948553.947 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553948553.947 * [backup-simplify]: Simplify 0 into 0
1553948553.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948553.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553948553.949 * [backup-simplify]: Simplify 0 into 0
1553948553.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553948553.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553948553.952 * [backup-simplify]: Simplify 0 into 0
1553948553.952 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553948553.952 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553948553.952 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553948553.952 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948553.952 * [taylor]: Taking taylor expansion of 2 in n
1553948553.952 * [backup-simplify]: Simplify 2 into 2
1553948553.952 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.952 * [taylor]: Taking taylor expansion of PI in n
1553948553.952 * [backup-simplify]: Simplify PI into PI
1553948553.952 * [taylor]: Taking taylor expansion of n in n
1553948553.952 * [backup-simplify]: Simplify 0 into 0
1553948553.952 * [backup-simplify]: Simplify 1 into 1
1553948553.952 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.952 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948553.952 * [taylor]: Taking taylor expansion of 2 in n
1553948553.952 * [backup-simplify]: Simplify 2 into 2
1553948553.952 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.952 * [taylor]: Taking taylor expansion of PI in n
1553948553.952 * [backup-simplify]: Simplify PI into PI
1553948553.952 * [taylor]: Taking taylor expansion of n in n
1553948553.953 * [backup-simplify]: Simplify 0 into 0
1553948553.953 * [backup-simplify]: Simplify 1 into 1
1553948553.953 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.953 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948553.954 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948553.955 * [backup-simplify]: Simplify 0 into 0
1553948553.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948553.956 * [backup-simplify]: Simplify 0 into 0
1553948553.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.957 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.957 * [backup-simplify]: Simplify 0 into 0
1553948553.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948553.959 * [backup-simplify]: Simplify 0 into 0
1553948553.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.960 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948553.960 * [backup-simplify]: Simplify 0 into 0
1553948553.961 * [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
1553948553.963 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948553.963 * [backup-simplify]: Simplify 0 into 0
1553948553.964 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553948553.964 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553948553.964 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553948553.964 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948553.964 * [taylor]: Taking taylor expansion of -2 in n
1553948553.964 * [backup-simplify]: Simplify -2 into -2
1553948553.964 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.964 * [taylor]: Taking taylor expansion of PI in n
1553948553.964 * [backup-simplify]: Simplify PI into PI
1553948553.964 * [taylor]: Taking taylor expansion of n in n
1553948553.964 * [backup-simplify]: Simplify 0 into 0
1553948553.964 * [backup-simplify]: Simplify 1 into 1
1553948553.964 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.964 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948553.965 * [taylor]: Taking taylor expansion of -2 in n
1553948553.965 * [backup-simplify]: Simplify -2 into -2
1553948553.965 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948553.965 * [taylor]: Taking taylor expansion of PI in n
1553948553.965 * [backup-simplify]: Simplify PI into PI
1553948553.965 * [taylor]: Taking taylor expansion of n in n
1553948553.965 * [backup-simplify]: Simplify 0 into 0
1553948553.965 * [backup-simplify]: Simplify 1 into 1
1553948553.965 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948553.966 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948553.966 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948553.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948553.968 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948553.968 * [backup-simplify]: Simplify 0 into 0
1553948553.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.970 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948553.970 * [backup-simplify]: Simplify 0 into 0
1553948553.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.972 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948553.972 * [backup-simplify]: Simplify 0 into 0
1553948553.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.974 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948553.974 * [backup-simplify]: Simplify 0 into 0
1553948553.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948553.977 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948553.977 * [backup-simplify]: Simplify 0 into 0
1553948553.978 * [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
1553948553.978 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948553.978 * [backup-simplify]: Simplify 0 into 0
1553948553.979 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553948553.979 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1553948553.979 * [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))))
1553948553.979 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1553948553.979 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948553.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948553.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.979 * [taylor]: Taking taylor expansion of k in k
1553948553.979 * [backup-simplify]: Simplify 0 into 0
1553948553.979 * [backup-simplify]: Simplify 1 into 1
1553948553.979 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.980 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948553.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948553.981 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948553.981 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948553.981 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948553.981 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948553.981 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.981 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.981 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948553.981 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.981 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.981 * [taylor]: Taking taylor expansion of k in k
1553948553.981 * [backup-simplify]: Simplify 0 into 0
1553948553.981 * [backup-simplify]: Simplify 1 into 1
1553948553.981 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948553.981 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948553.981 * [taylor]: Taking taylor expansion of 2 in k
1553948553.981 * [backup-simplify]: Simplify 2 into 2
1553948553.981 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948553.981 * [taylor]: Taking taylor expansion of n in k
1553948553.981 * [backup-simplify]: Simplify n into n
1553948553.981 * [taylor]: Taking taylor expansion of PI in k
1553948553.981 * [backup-simplify]: Simplify PI into PI
1553948553.981 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948553.981 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948553.981 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948553.981 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948553.982 * [backup-simplify]: Simplify (- 0) into 0
1553948553.982 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.982 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948553.982 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948553.982 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948553.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948553.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.982 * [taylor]: Taking taylor expansion of k in n
1553948553.982 * [backup-simplify]: Simplify k into k
1553948553.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.982 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948553.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948553.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948553.982 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948553.982 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948553.982 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948553.982 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948553.982 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.982 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.982 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948553.982 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.982 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.983 * [taylor]: Taking taylor expansion of k in n
1553948553.983 * [backup-simplify]: Simplify k into k
1553948553.983 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948553.983 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.983 * [taylor]: Taking taylor expansion of 2 in n
1553948553.983 * [backup-simplify]: Simplify 2 into 2
1553948553.983 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.983 * [taylor]: Taking taylor expansion of n in n
1553948553.983 * [backup-simplify]: Simplify 0 into 0
1553948553.983 * [backup-simplify]: Simplify 1 into 1
1553948553.983 * [taylor]: Taking taylor expansion of PI in n
1553948553.983 * [backup-simplify]: Simplify PI into PI
1553948553.983 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948553.983 * [backup-simplify]: Simplify (* 2 0) into 0
1553948553.984 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948553.985 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948553.986 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.986 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948553.986 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948553.986 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948553.987 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.987 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948553.988 * [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)))))
1553948553.988 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948553.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948553.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948553.988 * [taylor]: Taking taylor expansion of k in n
1553948553.988 * [backup-simplify]: Simplify k into k
1553948553.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948553.988 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948553.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948553.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948553.988 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948553.988 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948553.988 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948553.988 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948553.988 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.988 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.988 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948553.988 * [taylor]: Taking taylor expansion of 1/2 in n
1553948553.988 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.988 * [taylor]: Taking taylor expansion of k in n
1553948553.988 * [backup-simplify]: Simplify k into k
1553948553.988 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948553.988 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948553.988 * [taylor]: Taking taylor expansion of 2 in n
1553948553.988 * [backup-simplify]: Simplify 2 into 2
1553948553.988 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948553.988 * [taylor]: Taking taylor expansion of n in n
1553948553.988 * [backup-simplify]: Simplify 0 into 0
1553948553.989 * [backup-simplify]: Simplify 1 into 1
1553948553.989 * [taylor]: Taking taylor expansion of PI in n
1553948553.989 * [backup-simplify]: Simplify PI into PI
1553948553.989 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948553.989 * [backup-simplify]: Simplify (* 2 0) into 0
1553948553.990 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948553.991 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948553.991 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.991 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948553.991 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948553.992 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948553.992 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.993 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948553.994 * [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)))))
1553948553.994 * [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)))
1553948553.994 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1553948553.994 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948553.995 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948553.995 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948553.995 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.995 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.995 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948553.995 * [taylor]: Taking taylor expansion of 1/2 in k
1553948553.995 * [backup-simplify]: Simplify 1/2 into 1/2
1553948553.995 * [taylor]: Taking taylor expansion of k in k
1553948553.995 * [backup-simplify]: Simplify 0 into 0
1553948553.995 * [backup-simplify]: Simplify 1 into 1
1553948553.995 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948553.995 * [taylor]: Taking taylor expansion of (log n) in k
1553948553.995 * [taylor]: Taking taylor expansion of n in k
1553948553.995 * [backup-simplify]: Simplify n into n
1553948553.995 * [backup-simplify]: Simplify (log n) into (log n)
1553948553.995 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948553.995 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948553.995 * [taylor]: Taking taylor expansion of 2 in k
1553948553.995 * [backup-simplify]: Simplify 2 into 2
1553948553.995 * [taylor]: Taking taylor expansion of PI in k
1553948553.995 * [backup-simplify]: Simplify PI into PI
1553948553.995 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948553.996 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948553.996 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948553.996 * [backup-simplify]: Simplify (- 0) into 0
1553948553.996 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948553.997 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948553.998 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948553.998 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948553.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948553.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948553.998 * [taylor]: Taking taylor expansion of k in k
1553948553.998 * [backup-simplify]: Simplify 0 into 0
1553948553.998 * [backup-simplify]: Simplify 1 into 1
1553948553.999 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948553.999 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948554.000 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948554.000 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1553948554.000 * [backup-simplify]: Simplify 0 into 0
1553948554.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948554.003 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948554.004 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948554.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948554.005 * [backup-simplify]: Simplify (- 0) into 0
1553948554.005 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.006 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948554.008 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948554.010 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948554.011 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1553948554.011 * [taylor]: Taking taylor expansion of 0 in k
1553948554.011 * [backup-simplify]: Simplify 0 into 0
1553948554.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948554.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948554.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948554.015 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.016 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948554.016 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948554.016 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948554.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948554.021 * [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)))))))
1553948554.025 * [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)))))))
1553948554.026 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1553948554.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948554.028 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948554.032 * [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
1553948554.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948554.033 * [backup-simplify]: Simplify (- 0) into 0
1553948554.033 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.035 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948554.036 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948554.038 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948554.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.039 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1553948554.041 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1553948554.041 * [taylor]: Taking taylor expansion of 0 in k
1553948554.041 * [backup-simplify]: Simplify 0 into 0
1553948554.041 * [backup-simplify]: Simplify 0 into 0
1553948554.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948554.045 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948554.046 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948554.046 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948554.048 * [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
1553948554.048 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948554.049 * [backup-simplify]: Simplify (- 0) into 0
1553948554.049 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948554.053 * [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)))))
1553948554.058 * [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))))))))
1553948554.061 * [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))))))))
1553948554.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948554.062 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553948554.065 * [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
1553948554.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1553948554.066 * [backup-simplify]: Simplify (- 0) into 0
1553948554.067 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.067 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948554.068 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1553948554.070 * [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
1553948554.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1553948554.072 * [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
1553948554.072 * [taylor]: Taking taylor expansion of 0 in k
1553948554.072 * [backup-simplify]: Simplify 0 into 0
1553948554.072 * [backup-simplify]: Simplify 0 into 0
1553948554.072 * [backup-simplify]: Simplify 0 into 0
1553948554.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948554.077 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948554.080 * [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
1553948554.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948554.086 * [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
1553948554.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553948554.088 * [backup-simplify]: Simplify (- 0) into 0
1553948554.089 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1553948554.097 * [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)))))))
1553948554.109 * [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))))))))))))))
1553948554.118 * [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))))))))))))))
1553948554.128 * [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))))))))))))))))))))))
1553948554.129 * [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)))))
1553948554.129 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1553948554.129 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948554.129 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948554.129 * [taylor]: Taking taylor expansion of k in k
1553948554.129 * [backup-simplify]: Simplify 0 into 0
1553948554.129 * [backup-simplify]: Simplify 1 into 1
1553948554.129 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948554.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948554.130 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948554.130 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948554.130 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948554.130 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948554.130 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.130 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.130 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948554.130 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.130 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948554.130 * [taylor]: Taking taylor expansion of k in k
1553948554.130 * [backup-simplify]: Simplify 0 into 0
1553948554.130 * [backup-simplify]: Simplify 1 into 1
1553948554.130 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948554.130 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948554.130 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948554.130 * [taylor]: Taking taylor expansion of 2 in k
1553948554.130 * [backup-simplify]: Simplify 2 into 2
1553948554.130 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948554.130 * [taylor]: Taking taylor expansion of PI in k
1553948554.130 * [backup-simplify]: Simplify PI into PI
1553948554.130 * [taylor]: Taking taylor expansion of n in k
1553948554.131 * [backup-simplify]: Simplify n into n
1553948554.131 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948554.131 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948554.131 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948554.131 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948554.131 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948554.131 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948554.131 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948554.132 * [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))))
1553948554.132 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948554.132 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948554.132 * [taylor]: Taking taylor expansion of k in n
1553948554.132 * [backup-simplify]: Simplify k into k
1553948554.132 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948554.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948554.132 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948554.132 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948554.132 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948554.132 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948554.132 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.132 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948554.132 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.132 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948554.132 * [taylor]: Taking taylor expansion of k in n
1553948554.132 * [backup-simplify]: Simplify k into k
1553948554.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948554.132 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948554.132 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948554.132 * [taylor]: Taking taylor expansion of 2 in n
1553948554.132 * [backup-simplify]: Simplify 2 into 2
1553948554.132 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948554.132 * [taylor]: Taking taylor expansion of PI in n
1553948554.132 * [backup-simplify]: Simplify PI into PI
1553948554.132 * [taylor]: Taking taylor expansion of n in n
1553948554.132 * [backup-simplify]: Simplify 0 into 0
1553948554.132 * [backup-simplify]: Simplify 1 into 1
1553948554.132 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948554.133 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948554.134 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948554.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948554.134 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948554.134 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948554.135 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948554.136 * [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)))
1553948554.137 * [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))))
1553948554.138 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948554.138 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948554.138 * [taylor]: Taking taylor expansion of k in n
1553948554.138 * [backup-simplify]: Simplify k into k
1553948554.138 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948554.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948554.138 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948554.138 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948554.138 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948554.138 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948554.138 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.138 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948554.138 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.138 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.138 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948554.138 * [taylor]: Taking taylor expansion of k in n
1553948554.138 * [backup-simplify]: Simplify k into k
1553948554.138 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948554.138 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948554.138 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948554.138 * [taylor]: Taking taylor expansion of 2 in n
1553948554.138 * [backup-simplify]: Simplify 2 into 2
1553948554.138 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948554.138 * [taylor]: Taking taylor expansion of PI in n
1553948554.138 * [backup-simplify]: Simplify PI into PI
1553948554.138 * [taylor]: Taking taylor expansion of n in n
1553948554.138 * [backup-simplify]: Simplify 0 into 0
1553948554.138 * [backup-simplify]: Simplify 1 into 1
1553948554.139 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948554.139 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948554.140 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948554.140 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948554.140 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948554.141 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948554.142 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948554.143 * [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)))
1553948554.144 * [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))))
1553948554.145 * [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))
1553948554.145 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1553948554.145 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948554.146 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948554.146 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948554.146 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.146 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948554.146 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.146 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.146 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948554.146 * [taylor]: Taking taylor expansion of k in k
1553948554.146 * [backup-simplify]: Simplify 0 into 0
1553948554.146 * [backup-simplify]: Simplify 1 into 1
1553948554.146 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948554.146 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948554.146 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948554.146 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948554.146 * [taylor]: Taking taylor expansion of 2 in k
1553948554.146 * [backup-simplify]: Simplify 2 into 2
1553948554.146 * [taylor]: Taking taylor expansion of PI in k
1553948554.146 * [backup-simplify]: Simplify PI into PI
1553948554.147 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948554.148 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948554.148 * [taylor]: Taking taylor expansion of (log n) in k
1553948554.148 * [taylor]: Taking taylor expansion of n in k
1553948554.148 * [backup-simplify]: Simplify n into n
1553948554.148 * [backup-simplify]: Simplify (log n) into (log n)
1553948554.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948554.149 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948554.149 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948554.149 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948554.150 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948554.151 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948554.152 * [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))))
1553948554.152 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948554.152 * [taylor]: Taking taylor expansion of k in k
1553948554.152 * [backup-simplify]: Simplify 0 into 0
1553948554.152 * [backup-simplify]: Simplify 1 into 1
1553948554.153 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948554.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948554.155 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1553948554.155 * [backup-simplify]: Simplify 0 into 0
1553948554.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948554.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948554.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948554.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948554.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948554.160 * [backup-simplify]: Simplify (- 0) into 0
1553948554.161 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948554.163 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948554.165 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948554.166 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553948554.166 * [taylor]: Taking taylor expansion of 0 in k
1553948554.166 * [backup-simplify]: Simplify 0 into 0
1553948554.166 * [backup-simplify]: Simplify 0 into 0
1553948554.168 * [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))))))
1553948554.169 * [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))))))
1553948554.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948554.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948554.175 * [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
1553948554.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948554.176 * [backup-simplify]: Simplify (- 0) into 0
1553948554.176 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.178 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948554.179 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948554.181 * [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
1553948554.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1553948554.182 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1553948554.183 * [taylor]: Taking taylor expansion of 0 in k
1553948554.183 * [backup-simplify]: Simplify 0 into 0
1553948554.183 * [backup-simplify]: Simplify 0 into 0
1553948554.183 * [backup-simplify]: Simplify 0 into 0
1553948554.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948554.185 * [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))))))
1553948554.186 * [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))))))
1553948554.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948554.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948554.191 * [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
1553948554.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948554.192 * [backup-simplify]: Simplify (- 0) into 0
1553948554.192 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.193 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948554.194 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948554.195 * [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
1553948554.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1553948554.197 * [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
1553948554.197 * [taylor]: Taking taylor expansion of 0 in k
1553948554.197 * [backup-simplify]: Simplify 0 into 0
1553948554.197 * [backup-simplify]: Simplify 0 into 0
1553948554.197 * [backup-simplify]: Simplify 0 into 0
1553948554.197 * [backup-simplify]: Simplify 0 into 0
1553948554.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948554.201 * [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))))))
1553948554.201 * [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))))))
1553948554.204 * [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))))))))
1553948554.204 * [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)))
1553948554.204 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1553948554.204 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553948554.204 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948554.204 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948554.204 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948554.204 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948554.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948554.204 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.204 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.204 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948554.204 * [taylor]: Taking taylor expansion of k in k
1553948554.204 * [backup-simplify]: Simplify 0 into 0
1553948554.204 * [backup-simplify]: Simplify 1 into 1
1553948554.204 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948554.204 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.205 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.205 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948554.205 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948554.205 * [taylor]: Taking taylor expansion of -2 in k
1553948554.205 * [backup-simplify]: Simplify -2 into -2
1553948554.205 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948554.205 * [taylor]: Taking taylor expansion of PI in k
1553948554.205 * [backup-simplify]: Simplify PI into PI
1553948554.205 * [taylor]: Taking taylor expansion of n in k
1553948554.205 * [backup-simplify]: Simplify n into n
1553948554.205 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948554.205 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948554.205 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948554.205 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948554.205 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948554.205 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948554.206 * [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)))
1553948554.206 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948554.206 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948554.206 * [taylor]: Taking taylor expansion of -1 in k
1553948554.206 * [backup-simplify]: Simplify -1 into -1
1553948554.206 * [taylor]: Taking taylor expansion of k in k
1553948554.206 * [backup-simplify]: Simplify 0 into 0
1553948554.206 * [backup-simplify]: Simplify 1 into 1
1553948554.206 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948554.206 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948554.207 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948554.207 * [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))))
1553948554.207 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553948554.207 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948554.207 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948554.207 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948554.207 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948554.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948554.207 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.207 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948554.207 * [taylor]: Taking taylor expansion of k in n
1553948554.207 * [backup-simplify]: Simplify k into k
1553948554.207 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948554.207 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.207 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.207 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948554.207 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948554.207 * [taylor]: Taking taylor expansion of -2 in n
1553948554.207 * [backup-simplify]: Simplify -2 into -2
1553948554.207 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948554.207 * [taylor]: Taking taylor expansion of PI in n
1553948554.207 * [backup-simplify]: Simplify PI into PI
1553948554.207 * [taylor]: Taking taylor expansion of n in n
1553948554.208 * [backup-simplify]: Simplify 0 into 0
1553948554.208 * [backup-simplify]: Simplify 1 into 1
1553948554.208 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948554.208 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948554.209 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948554.209 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948554.209 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948554.210 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948554.210 * [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)))
1553948554.211 * [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))))
1553948554.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553948554.211 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553948554.211 * [taylor]: Taking taylor expansion of -1 in n
1553948554.211 * [backup-simplify]: Simplify -1 into -1
1553948554.211 * [taylor]: Taking taylor expansion of k in n
1553948554.211 * [backup-simplify]: Simplify k into k
1553948554.211 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553948554.211 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553948554.211 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553948554.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553948554.212 * [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)))
1553948554.212 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553948554.212 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948554.212 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948554.212 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948554.212 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948554.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948554.212 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.212 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.212 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948554.212 * [taylor]: Taking taylor expansion of k in n
1553948554.212 * [backup-simplify]: Simplify k into k
1553948554.212 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948554.212 * [taylor]: Taking taylor expansion of 1/2 in n
1553948554.212 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.212 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948554.212 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948554.212 * [taylor]: Taking taylor expansion of -2 in n
1553948554.213 * [backup-simplify]: Simplify -2 into -2
1553948554.213 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948554.213 * [taylor]: Taking taylor expansion of PI in n
1553948554.213 * [backup-simplify]: Simplify PI into PI
1553948554.213 * [taylor]: Taking taylor expansion of n in n
1553948554.213 * [backup-simplify]: Simplify 0 into 0
1553948554.213 * [backup-simplify]: Simplify 1 into 1
1553948554.213 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948554.213 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948554.214 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948554.214 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948554.214 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948554.216 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948554.217 * [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)))
1553948554.218 * [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))))
1553948554.218 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553948554.218 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553948554.218 * [taylor]: Taking taylor expansion of -1 in n
1553948554.218 * [backup-simplify]: Simplify -1 into -1
1553948554.218 * [taylor]: Taking taylor expansion of k in n
1553948554.218 * [backup-simplify]: Simplify k into k
1553948554.218 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553948554.218 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553948554.218 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553948554.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553948554.219 * [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)))
1553948554.219 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1553948554.219 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948554.219 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948554.219 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948554.219 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948554.219 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.219 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.219 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948554.219 * [taylor]: Taking taylor expansion of k in k
1553948554.219 * [backup-simplify]: Simplify 0 into 0
1553948554.219 * [backup-simplify]: Simplify 1 into 1
1553948554.219 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948554.220 * [taylor]: Taking taylor expansion of 1/2 in k
1553948554.220 * [backup-simplify]: Simplify 1/2 into 1/2
1553948554.220 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948554.220 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948554.220 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948554.220 * [taylor]: Taking taylor expansion of -2 in k
1553948554.220 * [backup-simplify]: Simplify -2 into -2
1553948554.220 * [taylor]: Taking taylor expansion of PI in k
1553948554.220 * [backup-simplify]: Simplify PI into PI
1553948554.220 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948554.221 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948554.221 * [taylor]: Taking taylor expansion of (log n) in k
1553948554.221 * [taylor]: Taking taylor expansion of n in k
1553948554.221 * [backup-simplify]: Simplify n into n
1553948554.221 * [backup-simplify]: Simplify (log n) into (log n)
1553948554.221 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948554.221 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948554.221 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948554.222 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948554.222 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948554.223 * [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))))
1553948554.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948554.223 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948554.223 * [taylor]: Taking taylor expansion of -1 in k
1553948554.223 * [backup-simplify]: Simplify -1 into -1
1553948554.223 * [taylor]: Taking taylor expansion of k in k
1553948554.223 * [backup-simplify]: Simplify 0 into 0
1553948554.223 * [backup-simplify]: Simplify 1 into 1
1553948554.223 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948554.224 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948554.225 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948554.226 * [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)))))
1553948554.227 * [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)))))
1553948554.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948554.228 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948554.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948554.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948554.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948554.231 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948554.233 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948554.235 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948554.236 * [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
1553948554.236 * [taylor]: Taking taylor expansion of 0 in k
1553948554.236 * [backup-simplify]: Simplify 0 into 0
1553948554.236 * [backup-simplify]: Simplify 0 into 0
1553948554.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553948554.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948554.241 * [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))))))
1553948554.242 * [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))))))
1553948554.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948554.244 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948554.247 * [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
1553948554.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948554.248 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948554.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948554.251 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948554.253 * [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
1553948554.253 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948554.254 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1553948554.255 * [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
1553948554.255 * [taylor]: Taking taylor expansion of 0 in k
1553948554.255 * [backup-simplify]: Simplify 0 into 0
1553948554.255 * [backup-simplify]: Simplify 0 into 0
1553948554.255 * [backup-simplify]: Simplify 0 into 0
1553948554.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948554.259 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948554.263 * [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))))))
1553948554.264 * [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))))))
1553948554.268 * [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)))))))))))
1553948554.268 * * * [progress]: simplifying candidates
1553948554.268 * * * * [progress]: [ 1 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553948554.268 * * * * [progress]: [ 2 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553948554.268 * * * * [progress]: [ 3 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.269 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553948554.269 * * [simplify]: iters left: 6 (11 enodes)
1553948554.274 * * [simplify]: iters left: 5 (43 enodes)
1553948554.287 * * [simplify]: iters left: 4 (79 enodes)
1553948554.314 * * [simplify]: iters left: 3 (178 enodes)
1553948554.379 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.380 * * [simplify]: Extracting #1: cost 49 inf + 0
1553948554.380 * * [simplify]: Extracting #2: cost 115 inf + 1
1553948554.380 * * [simplify]: Extracting #3: cost 122 inf + 547
1553948554.382 * * [simplify]: Extracting #4: cost 98 inf + 3382
1553948554.387 * * [simplify]: Extracting #5: cost 29 inf + 17882
1553948554.392 * * [simplify]: Extracting #6: cost 1 inf + 26098
1553948554.399 * * [simplify]: Extracting #7: cost 0 inf + 26523
1553948554.405 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553948554.405 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
1553948554.405 * * * * [progress]: [ 4 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.405 * * * * [progress]: [ 5 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.405 * [simplify]: Simplifying (* (* n 2) PI)
1553948554.405 * * [simplify]: iters left: 4 (5 enodes)
1553948554.407 * * [simplify]: iters left: 3 (19 enodes)
1553948554.410 * * [simplify]: iters left: 2 (27 enodes)
1553948554.418 * * [simplify]: iters left: 1 (32 enodes)
1553948554.426 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.429 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948554.429 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948554.429 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948554.430 * [simplify]: Simplified to (* (* n 2) PI)
1553948554.430 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1553948554.430 * * * * [progress]: [ 6 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1553948554.430 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948554.430 * * [simplify]: iters left: 5 (8 enodes)
1553948554.434 * * [simplify]: iters left: 4 (28 enodes)
1553948554.440 * * [simplify]: iters left: 3 (36 enodes)
1553948554.445 * * [simplify]: iters left: 2 (41 enodes)
1553948554.450 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.450 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948554.450 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948554.450 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948554.450 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948554.450 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948554.450 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948554.450 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1553948554.450 * * * * [progress]: [ 7 / 86 ] 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)))>
1553948554.451 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553948554.451 * * [simplify]: iters left: 5 (6 enodes)
1553948554.452 * * [simplify]: iters left: 4 (20 enodes)
1553948554.456 * * [simplify]: iters left: 3 (25 enodes)
1553948554.459 * * [simplify]: iters left: 2 (27 enodes)
1553948554.463 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.463 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948554.463 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948554.463 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948554.463 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948554.464 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948554.464 * * [simplify]: Extracting #6: cost 1 inf + 662
1553948554.464 * * [simplify]: Extracting #7: cost 0 inf + 825
1553948554.464 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553948554.464 * [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)))
1553948554.464 * * * * [progress]: [ 8 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.464 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553948554.464 * * [simplify]: iters left: 5 (6 enodes)
1553948554.466 * * [simplify]: iters left: 4 (20 enodes)
1553948554.470 * * [simplify]: iters left: 3 (25 enodes)
1553948554.478 * * [simplify]: iters left: 2 (27 enodes)
1553948554.486 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.486 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948554.486 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948554.486 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948554.486 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948554.486 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948554.487 * * [simplify]: Extracting #6: cost 1 inf + 622
1553948554.487 * * [simplify]: Extracting #7: cost 0 inf + 745
1553948554.487 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553948554.487 * [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)))
1553948554.487 * * * * [progress]: [ 9 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.488 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553948554.488 * * [simplify]: iters left: 4 (5 enodes)
1553948554.491 * * [simplify]: iters left: 3 (17 enodes)
1553948554.496 * * [simplify]: iters left: 2 (22 enodes)
1553948554.503 * * [simplify]: iters left: 1 (24 enodes)
1553948554.510 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.510 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948554.510 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948554.510 * * [simplify]: Extracting #3: cost 1 inf + 458
1553948554.510 * * [simplify]: Extracting #4: cost 0 inf + 499
1553948554.511 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553948554.511 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))
1553948554.511 * * * * [progress]: [ 10 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1553948554.511 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948554.511 * * [simplify]: iters left: 5 (9 enodes)
1553948554.514 * * [simplify]: iters left: 4 (33 enodes)
1553948554.519 * * [simplify]: iters left: 3 (43 enodes)
1553948554.525 * * [simplify]: iters left: 2 (48 enodes)
1553948554.531 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.531 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948554.531 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948554.531 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948554.531 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948554.531 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948554.533 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948554.533 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948554.533 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1553948554.533 * * * * [progress]: [ 11 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1553948554.533 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948554.533 * * [simplify]: iters left: 5 (9 enodes)
1553948554.536 * * [simplify]: iters left: 4 (33 enodes)
1553948554.540 * * [simplify]: iters left: 3 (43 enodes)
1553948554.547 * * [simplify]: iters left: 2 (48 enodes)
1553948554.555 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.555 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948554.555 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948554.555 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948554.556 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948554.556 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948554.556 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948554.556 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948554.556 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1553948554.556 * * * * [progress]: [ 12 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.557 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553948554.557 * * [simplify]: iters left: 5 (8 enodes)
1553948554.559 * * [simplify]: iters left: 4 (27 enodes)
1553948554.563 * * [simplify]: iters left: 3 (32 enodes)
1553948554.567 * * [simplify]: iters left: 2 (34 enodes)
1553948554.572 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.572 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948554.572 * * [simplify]: Extracting #2: cost 11 inf + 0
1553948554.572 * * [simplify]: Extracting #3: cost 12 inf + 3
1553948554.572 * * [simplify]: Extracting #4: cost 8 inf + 171
1553948554.573 * * [simplify]: Extracting #5: cost 1 inf + 918
1553948554.573 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553948554.573 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948554.573 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
1553948554.573 * * * * [progress]: [ 13 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 14 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 15 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 16 / 86 ] 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)))>
1553948554.574 * * * * [progress]: [ 17 / 86 ] 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)))>
1553948554.574 * * * * [progress]: [ 18 / 86 ] 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)))>
1553948554.574 * * * * [progress]: [ 19 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 20 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 21 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 22 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 23 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 24 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 25 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 26 / 86 ] 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)))>
1553948554.574 * * * * [progress]: [ 27 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 28 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.574 * * * * [progress]: [ 29 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.575 * * * * [progress]: [ 30 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.575 * * * * [progress]: [ 31 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.575 * * * * [progress]: [ 32 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948554.575 * * * * [progress]: [ 33 / 86 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948554.575 * * * * [progress]: [ 34 / 86 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948554.575 * * * * [progress]: [ 35 / 86 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1553948554.575 * * * * [progress]: [ 36 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1553948554.575 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553948554.575 * * [simplify]: iters left: 6 (14 enodes)
1553948554.582 * * [simplify]: iters left: 5 (55 enodes)
1553948554.600 * * [simplify]: iters left: 4 (95 enodes)
1553948554.621 * * [simplify]: iters left: 3 (217 enodes)
1553948554.717 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.717 * * [simplify]: Extracting #1: cost 44 inf + 0
1553948554.717 * * [simplify]: Extracting #2: cost 144 inf + 1
1553948554.720 * * [simplify]: Extracting #3: cost 177 inf + 2
1553948554.721 * * [simplify]: Extracting #4: cost 168 inf + 620
1553948554.723 * * [simplify]: Extracting #5: cost 111 inf + 10524
1553948554.730 * * [simplify]: Extracting #6: cost 13 inf + 42678
1553948554.739 * * [simplify]: Extracting #7: cost 0 inf + 45688
1553948554.753 * * [simplify]: Extracting #8: cost 0 inf + 45673
1553948554.772 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1553948554.772 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1553948554.773 * * * * [progress]: [ 37 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1553948554.773 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553948554.774 * * [simplify]: iters left: 6 (14 enodes)
1553948554.781 * * [simplify]: iters left: 5 (55 enodes)
1553948554.798 * * [simplify]: iters left: 4 (95 enodes)
1553948554.823 * * [simplify]: iters left: 3 (217 enodes)
1553948554.924 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948554.924 * * [simplify]: Extracting #1: cost 44 inf + 0
1553948554.925 * * [simplify]: Extracting #2: cost 144 inf + 1
1553948554.926 * * [simplify]: Extracting #3: cost 177 inf + 2
1553948554.928 * * [simplify]: Extracting #4: cost 168 inf + 620
1553948554.932 * * [simplify]: Extracting #5: cost 111 inf + 10524
1553948554.943 * * [simplify]: Extracting #6: cost 13 inf + 42678
1553948554.952 * * [simplify]: Extracting #7: cost 0 inf + 45688
1553948554.962 * * [simplify]: Extracting #8: cost 0 inf + 45673
1553948554.975 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1553948554.975 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1553948554.975 * * * * [progress]: [ 38 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1553948554.975 * [simplify]: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
1553948554.975 * * [simplify]: iters left: 6 (14 enodes)
1553948554.983 * * [simplify]: iters left: 5 (52 enodes)
1553948554.999 * * [simplify]: iters left: 4 (79 enodes)
1553948555.022 * * [simplify]: iters left: 3 (130 enodes)
1553948555.076 * * [simplify]: iters left: 2 (312 enodes)
1553948555.250 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.250 * * [simplify]: Extracting #1: cost 82 inf + 0
1553948555.252 * * [simplify]: Extracting #2: cost 238 inf + 1
1553948555.258 * * [simplify]: Extracting #3: cost 241 inf + 729
1553948555.265 * * [simplify]: Extracting #4: cost 179 inf + 13186
1553948555.289 * * [simplify]: Extracting #5: cost 28 inf + 65958
1553948555.323 * * [simplify]: Extracting #6: cost 0 inf + 76840
1553948555.356 * * [simplify]: Extracting #7: cost 0 inf + 76795
1553948555.389 * [simplify]: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553948555.389 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1553948555.390 * * * * [progress]: [ 39 / 86 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948555.390 * * * * [progress]: [ 40 / 86 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948555.390 * * * * [progress]: [ 41 / 86 ] 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)))))>
1553948555.390 * [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)))
1553948555.390 * * [simplify]: iters left: 6 (16 enodes)
1553948555.399 * * [simplify]: iters left: 5 (61 enodes)
1553948555.421 * * [simplify]: iters left: 4 (113 enodes)
1553948555.457 * * [simplify]: iters left: 3 (185 enodes)
1553948555.487 * * [simplify]: iters left: 2 (215 enodes)
1553948555.517 * * [simplify]: iters left: 1 (221 enodes)
1553948555.544 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.544 * * [simplify]: Extracting #1: cost 22 inf + 0
1553948555.544 * * [simplify]: Extracting #2: cost 41 inf + 123
1553948555.544 * * [simplify]: Extracting #3: cost 49 inf + 246
1553948555.544 * * [simplify]: Extracting #4: cost 51 inf + 250
1553948555.545 * * [simplify]: Extracting #5: cost 39 inf + 1291
1553948555.547 * * [simplify]: Extracting #6: cost 5 inf + 15749
1553948555.551 * * [simplify]: Extracting #7: cost 0 inf + 18264
1553948555.554 * [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))
1553948555.554 * [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))))
1553948555.554 * * * * [progress]: [ 42 / 86 ] 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)))))>
1553948555.555 * * * * [progress]: [ 43 / 86 ] 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)))))>
1553948555.555 * * * * [progress]: [ 44 / 86 ] 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)))))>
1553948555.555 * * * * [progress]: [ 45 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1553948555.555 * * * * [progress]: [ 46 / 86 ] 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)))))>
1553948555.555 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948555.555 * * [simplify]: iters left: 6 (12 enodes)
1553948555.558 * * [simplify]: iters left: 5 (43 enodes)
1553948555.567 * * [simplify]: iters left: 4 (53 enodes)
1553948555.584 * * [simplify]: iters left: 3 (59 enodes)
1553948555.599 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.599 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948555.600 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948555.600 * * [simplify]: Extracting #3: cost 21 inf + 1
1553948555.600 * * [simplify]: Extracting #4: cost 19 inf + 47
1553948555.600 * * [simplify]: Extracting #5: cost 12 inf + 460
1553948555.601 * * [simplify]: Extracting #6: cost 2 inf + 1923
1553948555.601 * * [simplify]: Extracting #7: cost 0 inf + 2531
1553948555.602 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948555.602 * [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)))))
1553948555.603 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1553948555.603 * * [simplify]: iters left: 6 (12 enodes)
1553948555.608 * * [simplify]: iters left: 5 (42 enodes)
1553948555.620 * * [simplify]: iters left: 4 (52 enodes)
1553948555.634 * * [simplify]: iters left: 3 (58 enodes)
1553948555.649 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.649 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.649 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.649 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948555.649 * * [simplify]: Extracting #4: cost 19 inf + 128
1553948555.649 * * [simplify]: Extracting #5: cost 4 inf + 1367
1553948555.650 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948555.651 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948555.652 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1553948555.652 * [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)))))
1553948555.652 * * * * [progress]: [ 47 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1553948555.652 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1553948555.652 * * [simplify]: iters left: 6 (11 enodes)
1553948555.657 * * [simplify]: iters left: 5 (38 enodes)
1553948555.668 * * [simplify]: iters left: 4 (46 enodes)
1553948555.681 * * [simplify]: iters left: 3 (51 enodes)
1553948555.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.694 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.694 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.694 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948555.695 * * [simplify]: Extracting #4: cost 16 inf + 5
1553948555.695 * * [simplify]: Extracting #5: cost 2 inf + 913
1553948555.695 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553948555.696 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553948555.697 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1553948555.697 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1553948555.697 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1553948555.697 * * [simplify]: iters left: 6 (12 enodes)
1553948555.703 * * [simplify]: iters left: 5 (42 enodes)
1553948555.714 * * [simplify]: iters left: 4 (52 enodes)
1553948555.730 * * [simplify]: iters left: 3 (58 enodes)
1553948555.745 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.745 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.745 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.745 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948555.745 * * [simplify]: Extracting #4: cost 19 inf + 128
1553948555.745 * * [simplify]: Extracting #5: cost 4 inf + 1287
1553948555.746 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948555.746 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948555.747 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1553948555.747 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1553948555.747 * * * * [progress]: [ 48 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1553948555.747 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1553948555.747 * * [simplify]: iters left: 6 (9 enodes)
1553948555.750 * * [simplify]: iters left: 5 (32 enodes)
1553948555.755 * * [simplify]: iters left: 4 (44 enodes)
1553948555.761 * * [simplify]: iters left: 3 (49 enodes)
1553948555.767 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.767 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948555.768 * * [simplify]: Extracting #2: cost 10 inf + 2
1553948555.768 * * [simplify]: Extracting #3: cost 9 inf + 47
1553948555.768 * * [simplify]: Extracting #4: cost 0 inf + 669
1553948555.768 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1553948555.768 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553948555.768 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553948555.768 * * [simplify]: iters left: 6 (11 enodes)
1553948555.771 * * [simplify]: iters left: 5 (39 enodes)
1553948555.776 * * [simplify]: iters left: 4 (49 enodes)
1553948555.790 * * [simplify]: iters left: 3 (54 enodes)
1553948555.803 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.803 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.803 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.804 * * [simplify]: Extracting #3: cost 16 inf + 83
1553948555.804 * * [simplify]: Extracting #4: cost 16 inf + 169
1553948555.804 * * [simplify]: Extracting #5: cost 3 inf + 1500
1553948555.805 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948555.806 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553948555.806 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553948555.806 * * * * [progress]: [ 49 / 86 ] 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)))))>
1553948555.806 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948555.806 * * [simplify]: iters left: 6 (12 enodes)
1553948555.812 * * [simplify]: iters left: 5 (43 enodes)
1553948555.825 * * [simplify]: iters left: 4 (53 enodes)
1553948555.839 * * [simplify]: iters left: 3 (59 enodes)
1553948555.856 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.856 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948555.856 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948555.856 * * [simplify]: Extracting #3: cost 21 inf + 1
1553948555.857 * * [simplify]: Extracting #4: cost 19 inf + 47
1553948555.857 * * [simplify]: Extracting #5: cost 12 inf + 460
1553948555.857 * * [simplify]: Extracting #6: cost 2 inf + 1923
1553948555.858 * * [simplify]: Extracting #7: cost 0 inf + 2531
1553948555.859 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948555.859 * [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)))))
1553948555.860 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1553948555.860 * * [simplify]: iters left: 6 (12 enodes)
1553948555.865 * * [simplify]: iters left: 5 (42 enodes)
1553948555.877 * * [simplify]: iters left: 4 (52 enodes)
1553948555.891 * * [simplify]: iters left: 3 (58 enodes)
1553948555.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.905 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.906 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.906 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948555.906 * * [simplify]: Extracting #4: cost 19 inf + 128
1553948555.906 * * [simplify]: Extracting #5: cost 4 inf + 1367
1553948555.907 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948555.908 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948555.908 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1553948555.908 * [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)))))
1553948555.909 * * * * [progress]: [ 50 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1553948555.909 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1553948555.909 * * [simplify]: iters left: 6 (11 enodes)
1553948555.915 * * [simplify]: iters left: 5 (38 enodes)
1553948555.926 * * [simplify]: iters left: 4 (46 enodes)
1553948555.939 * * [simplify]: iters left: 3 (51 enodes)
1553948555.952 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948555.952 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948555.952 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948555.952 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948555.952 * * [simplify]: Extracting #4: cost 16 inf + 5
1553948555.952 * * [simplify]: Extracting #5: cost 2 inf + 913
1553948555.953 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553948555.953 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553948555.954 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1553948555.954 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1553948555.954 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1553948555.954 * * [simplify]: iters left: 6 (12 enodes)
1553948555.960 * * [simplify]: iters left: 5 (42 enodes)
1553948555.972 * * [simplify]: iters left: 4 (52 enodes)
1553948555.986 * * [simplify]: iters left: 3 (58 enodes)
1553948556.003 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.003 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.003 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.003 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948556.003 * * [simplify]: Extracting #4: cost 19 inf + 128
1553948556.004 * * [simplify]: Extracting #5: cost 4 inf + 1287
1553948556.004 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948556.005 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948556.006 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1553948556.006 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1553948556.006 * * * * [progress]: [ 51 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1553948556.007 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1553948556.007 * * [simplify]: iters left: 6 (9 enodes)
1553948556.012 * * [simplify]: iters left: 5 (32 enodes)
1553948556.022 * * [simplify]: iters left: 4 (44 enodes)
1553948556.034 * * [simplify]: iters left: 3 (49 enodes)
1553948556.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.046 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948556.046 * * [simplify]: Extracting #2: cost 10 inf + 2
1553948556.046 * * [simplify]: Extracting #3: cost 9 inf + 47
1553948556.047 * * [simplify]: Extracting #4: cost 0 inf + 669
1553948556.047 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1553948556.047 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553948556.048 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553948556.048 * * [simplify]: iters left: 6 (11 enodes)
1553948556.053 * * [simplify]: iters left: 5 (39 enodes)
1553948556.064 * * [simplify]: iters left: 4 (49 enodes)
1553948556.078 * * [simplify]: iters left: 3 (54 enodes)
1553948556.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.091 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.091 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.091 * * [simplify]: Extracting #3: cost 16 inf + 83
1553948556.091 * * [simplify]: Extracting #4: cost 16 inf + 169
1553948556.092 * * [simplify]: Extracting #5: cost 3 inf + 1500
1553948556.092 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948556.093 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553948556.093 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553948556.093 * * * * [progress]: [ 52 / 86 ] 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)))))>
1553948556.094 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.094 * * [simplify]: iters left: 6 (12 enodes)
1553948556.100 * * [simplify]: iters left: 5 (41 enodes)
1553948556.112 * * [simplify]: iters left: 4 (48 enodes)
1553948556.125 * * [simplify]: iters left: 3 (50 enodes)
1553948556.139 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.139 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948556.139 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948556.139 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948556.139 * * [simplify]: Extracting #4: cost 20 inf + 46
1553948556.139 * * [simplify]: Extracting #5: cost 8 inf + 1494
1553948556.140 * * [simplify]: Extracting #6: cost 2 inf + 2926
1553948556.141 * * [simplify]: Extracting #7: cost 0 inf + 3954
1553948556.142 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.142 * [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)))))
1553948556.142 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553948556.142 * * [simplify]: iters left: 6 (10 enodes)
1553948556.149 * * [simplify]: iters left: 5 (32 enodes)
1553948556.156 * * [simplify]: iters left: 4 (37 enodes)
1553948556.161 * * [simplify]: iters left: 3 (39 enodes)
1553948556.167 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.167 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.167 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.167 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948556.167 * * [simplify]: Extracting #4: cost 14 inf + 85
1553948556.167 * * [simplify]: Extracting #5: cost 11 inf + 369
1553948556.167 * * [simplify]: Extracting #6: cost 6 inf + 659
1553948556.167 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553948556.167 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553948556.168 * [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)))))
1553948556.168 * * * * [progress]: [ 53 / 86 ] 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)))))>
1553948556.168 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.168 * * [simplify]: iters left: 6 (11 enodes)
1553948556.171 * * [simplify]: iters left: 5 (36 enodes)
1553948556.176 * * [simplify]: iters left: 4 (41 enodes)
1553948556.182 * * [simplify]: iters left: 3 (43 enodes)
1553948556.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.194 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.194 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.194 * * [simplify]: Extracting #3: cost 18 inf + 0
1553948556.194 * * [simplify]: Extracting #4: cost 12 inf + 291
1553948556.194 * * [simplify]: Extracting #5: cost 4 inf + 1121
1553948556.195 * * [simplify]: Extracting #6: cost 0 inf + 2404
1553948556.196 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.196 * [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)))))
1553948556.196 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.196 * * [simplify]: iters left: 6 (10 enodes)
1553948556.199 * * [simplify]: iters left: 5 (32 enodes)
1553948556.204 * * [simplify]: iters left: 4 (37 enodes)
1553948556.209 * * [simplify]: iters left: 3 (39 enodes)
1553948556.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.215 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.215 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.215 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948556.215 * * [simplify]: Extracting #4: cost 14 inf + 85
1553948556.215 * * [simplify]: Extracting #5: cost 11 inf + 289
1553948556.215 * * [simplify]: Extracting #6: cost 6 inf + 579
1553948556.216 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553948556.216 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.216 * [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)))))
1553948556.216 * * * * [progress]: [ 54 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
1553948556.216 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
1553948556.216 * * [simplify]: iters left: 6 (10 enodes)
1553948556.221 * * [simplify]: iters left: 5 (33 enodes)
1553948556.231 * * [simplify]: iters left: 4 (40 enodes)
1553948556.243 * * [simplify]: iters left: 3 (42 enodes)
1553948556.257 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.257 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948556.257 * * [simplify]: Extracting #2: cost 11 inf + 1
1553948556.257 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948556.257 * * [simplify]: Extracting #4: cost 7 inf + 214
1553948556.257 * * [simplify]: Extracting #5: cost 0 inf + 1253
1553948556.258 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948556.258 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1553948556.258 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1553948556.258 * * [simplify]: iters left: 6 (9 enodes)
1553948556.263 * * [simplify]: iters left: 5 (29 enodes)
1553948556.271 * * [simplify]: iters left: 4 (34 enodes)
1553948556.276 * * [simplify]: iters left: 3 (36 enodes)
1553948556.280 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.281 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.281 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.281 * * [simplify]: Extracting #3: cost 9 inf + 84
1553948556.281 * * [simplify]: Extracting #4: cost 12 inf + 85
1553948556.281 * * [simplify]: Extracting #5: cost 10 inf + 209
1553948556.281 * * [simplify]: Extracting #6: cost 6 inf + 457
1553948556.281 * * [simplify]: Extracting #7: cost 1 inf + 1624
1553948556.281 * * [simplify]: Extracting #8: cost 0 inf + 1918
1553948556.282 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1553948556.282 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1553948556.282 * * * * [progress]: [ 55 / 86 ] 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)))))>
1553948556.282 * [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))))
1553948556.282 * * [simplify]: iters left: 6 (16 enodes)
1553948556.286 * * [simplify]: iters left: 5 (60 enodes)
1553948556.295 * * [simplify]: iters left: 4 (88 enodes)
1553948556.308 * * [simplify]: iters left: 3 (102 enodes)
1553948556.322 * * [simplify]: iters left: 2 (105 enodes)
1553948556.335 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.335 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948556.335 * * [simplify]: Extracting #2: cost 22 inf + 0
1553948556.335 * * [simplify]: Extracting #3: cost 27 inf + 0
1553948556.335 * * [simplify]: Extracting #4: cost 35 inf + 163
1553948556.335 * * [simplify]: Extracting #5: cost 32 inf + 693
1553948556.335 * * [simplify]: Extracting #6: cost 20 inf + 1775
1553948556.338 * * [simplify]: Extracting #7: cost 3 inf + 10110
1553948556.339 * * [simplify]: Extracting #8: cost 0 inf + 11915
1553948556.341 * [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))))
1553948556.341 * [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)))))
1553948556.341 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553948556.342 * * [simplify]: iters left: 6 (14 enodes)
1553948556.345 * * [simplify]: iters left: 5 (48 enodes)
1553948556.352 * * [simplify]: iters left: 4 (61 enodes)
1553948556.360 * * [simplify]: iters left: 3 (69 enodes)
1553948556.370 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.371 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.371 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.371 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948556.371 * * [simplify]: Extracting #4: cost 22 inf + 42
1553948556.371 * * [simplify]: Extracting #5: cost 20 inf + 371
1553948556.371 * * [simplify]: Extracting #6: cost 7 inf + 1535
1553948556.372 * * [simplify]: Extracting #7: cost 1 inf + 3518
1553948556.373 * * [simplify]: Extracting #8: cost 0 inf + 4133
1553948556.374 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553948556.375 * [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)))))
1553948556.375 * * * * [progress]: [ 56 / 86 ] 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)))))>
1553948556.375 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1553948556.375 * * [simplify]: iters left: 6 (15 enodes)
1553948556.382 * * [simplify]: iters left: 5 (53 enodes)
1553948556.398 * * [simplify]: iters left: 4 (70 enodes)
1553948556.418 * * [simplify]: iters left: 3 (80 enodes)
1553948556.438 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.438 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948556.439 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948556.439 * * [simplify]: Extracting #3: cost 19 inf + 0
1553948556.439 * * [simplify]: Extracting #4: cost 25 inf + 245
1553948556.439 * * [simplify]: Extracting #5: cost 27 inf + 249
1553948556.440 * * [simplify]: Extracting #6: cost 15 inf + 1542
1553948556.441 * * [simplify]: Extracting #7: cost 1 inf + 6768
1553948556.443 * * [simplify]: Extracting #8: cost 0 inf + 7343
1553948556.445 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
1553948556.445 * [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)))))
1553948556.445 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.445 * * [simplify]: iters left: 6 (14 enodes)
1553948556.452 * * [simplify]: iters left: 5 (48 enodes)
1553948556.468 * * [simplify]: iters left: 4 (61 enodes)
1553948556.479 * * [simplify]: iters left: 3 (69 enodes)
1553948556.488 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.488 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.488 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.488 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948556.488 * * [simplify]: Extracting #4: cost 22 inf + 42
1553948556.488 * * [simplify]: Extracting #5: cost 20 inf + 291
1553948556.488 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553948556.489 * * [simplify]: Extracting #7: cost 1 inf + 3398
1553948556.489 * * [simplify]: Extracting #8: cost 0 inf + 3973
1553948556.490 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.490 * [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)))))
1553948556.490 * * * * [progress]: [ 57 / 86 ] 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))))>
1553948556.490 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
1553948556.490 * * [simplify]: iters left: 6 (14 enodes)
1553948556.494 * * [simplify]: iters left: 5 (50 enodes)
1553948556.503 * * [simplify]: iters left: 4 (73 enodes)
1553948556.524 * * [simplify]: iters left: 3 (81 enodes)
1553948556.544 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.544 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948556.544 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948556.544 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948556.544 * * [simplify]: Extracting #4: cost 21 inf + 1
1553948556.545 * * [simplify]: Extracting #5: cost 24 inf + 5
1553948556.545 * * [simplify]: Extracting #6: cost 12 inf + 1046
1553948556.545 * * [simplify]: Extracting #7: cost 2 inf + 3571
1553948556.546 * * [simplify]: Extracting #8: cost 0 inf + 4562
1553948556.547 * [simplify]: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1553948556.547 * [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))))
1553948556.547 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553948556.547 * * [simplify]: iters left: 6 (13 enodes)
1553948556.550 * * [simplify]: iters left: 5 (45 enodes)
1553948556.557 * * [simplify]: iters left: 4 (58 enodes)
1553948556.568 * * [simplify]: iters left: 3 (65 enodes)
1553948556.584 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.584 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.584 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.584 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948556.584 * * [simplify]: Extracting #4: cost 20 inf + 42
1553948556.585 * * [simplify]: Extracting #5: cost 18 inf + 253
1553948556.585 * * [simplify]: Extracting #6: cost 8 inf + 1169
1553948556.586 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553948556.587 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553948556.588 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553948556.588 * [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))))
1553948556.588 * * * * [progress]: [ 58 / 86 ] 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)))))>
1553948556.588 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.589 * * [simplify]: iters left: 6 (15 enodes)
1553948556.592 * * [simplify]: iters left: 5 (53 enodes)
1553948556.600 * * [simplify]: iters left: 4 (68 enodes)
1553948556.610 * * [simplify]: iters left: 3 (75 enodes)
1553948556.622 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.622 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948556.622 * * [simplify]: Extracting #2: cost 12 inf + 0
1553948556.622 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948556.623 * * [simplify]: Extracting #4: cost 26 inf + 42
1553948556.623 * * [simplify]: Extracting #5: cost 24 inf + 530
1553948556.623 * * [simplify]: Extracting #6: cost 11 inf + 1944
1553948556.624 * * [simplify]: Extracting #7: cost 0 inf + 5525
1553948556.626 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.626 * [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)))))
1553948556.626 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553948556.626 * * [simplify]: iters left: 6 (14 enodes)
1553948556.633 * * [simplify]: iters left: 5 (48 enodes)
1553948556.647 * * [simplify]: iters left: 4 (61 enodes)
1553948556.664 * * [simplify]: iters left: 3 (69 enodes)
1553948556.685 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.685 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.685 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.685 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948556.685 * * [simplify]: Extracting #4: cost 22 inf + 42
1553948556.685 * * [simplify]: Extracting #5: cost 20 inf + 371
1553948556.686 * * [simplify]: Extracting #6: cost 7 inf + 1535
1553948556.686 * * [simplify]: Extracting #7: cost 1 inf + 3398
1553948556.687 * * [simplify]: Extracting #8: cost 0 inf + 3973
1553948556.687 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553948556.687 * [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)))))
1553948556.687 * * * * [progress]: [ 59 / 86 ] 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)))))>
1553948556.688 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.688 * * [simplify]: iters left: 6 (14 enodes)
1553948556.691 * * [simplify]: iters left: 5 (48 enodes)
1553948556.698 * * [simplify]: iters left: 4 (61 enodes)
1553948556.707 * * [simplify]: iters left: 3 (69 enodes)
1553948556.718 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.718 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.718 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.718 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948556.718 * * [simplify]: Extracting #4: cost 22 inf + 42
1553948556.718 * * [simplify]: Extracting #5: cost 20 inf + 291
1553948556.719 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553948556.720 * * [simplify]: Extracting #7: cost 1 inf + 3278
1553948556.721 * * [simplify]: Extracting #8: cost 0 inf + 3813
1553948556.722 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.722 * [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)))))
1553948556.722 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.722 * * [simplify]: iters left: 6 (14 enodes)
1553948556.729 * * [simplify]: iters left: 5 (48 enodes)
1553948556.742 * * [simplify]: iters left: 4 (61 enodes)
1553948556.751 * * [simplify]: iters left: 3 (69 enodes)
1553948556.760 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.760 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.760 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.760 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948556.760 * * [simplify]: Extracting #4: cost 22 inf + 42
1553948556.760 * * [simplify]: Extracting #5: cost 20 inf + 291
1553948556.760 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553948556.761 * * [simplify]: Extracting #7: cost 1 inf + 3278
1553948556.761 * * [simplify]: Extracting #8: cost 0 inf + 3813
1553948556.762 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553948556.762 * [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)))))
1553948556.762 * * * * [progress]: [ 60 / 86 ] 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))))>
1553948556.762 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
1553948556.762 * * [simplify]: iters left: 6 (13 enodes)
1553948556.766 * * [simplify]: iters left: 5 (45 enodes)
1553948556.778 * * [simplify]: iters left: 4 (60 enodes)
1553948556.792 * * [simplify]: iters left: 3 (67 enodes)
1553948556.801 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.801 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.801 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948556.801 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948556.801 * * [simplify]: Extracting #4: cost 19 inf + 47
1553948556.801 * * [simplify]: Extracting #5: cost 4 inf + 1254
1553948556.802 * * [simplify]: Extracting #6: cost 1 inf + 2085
1553948556.802 * * [simplify]: Extracting #7: cost 0 inf + 2500
1553948556.803 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1553948556.803 * [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))))
1553948556.803 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553948556.803 * * [simplify]: iters left: 6 (13 enodes)
1553948556.806 * * [simplify]: iters left: 5 (45 enodes)
1553948556.816 * * [simplify]: iters left: 4 (58 enodes)
1553948556.824 * * [simplify]: iters left: 3 (65 enodes)
1553948556.832 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.832 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.832 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948556.832 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948556.832 * * [simplify]: Extracting #4: cost 20 inf + 42
1553948556.832 * * [simplify]: Extracting #5: cost 18 inf + 253
1553948556.833 * * [simplify]: Extracting #6: cost 8 inf + 1169
1553948556.834 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553948556.835 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553948556.836 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553948556.836 * [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))))
1553948556.836 * * * * [progress]: [ 61 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1553948556.836 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.836 * * [simplify]: iters left: 6 (6 enodes)
1553948556.839 * * [simplify]: iters left: 5 (22 enodes)
1553948556.846 * * [simplify]: iters left: 4 (26 enodes)
1553948556.849 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.850 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948556.850 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948556.850 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948556.850 * * [simplify]: Extracting #4: cost 8 inf + 84
1553948556.850 * * [simplify]: Extracting #5: cost 2 inf + 1013
1553948556.850 * * [simplify]: Extracting #6: cost 0 inf + 1376
1553948556.850 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553948556.850 * [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)))))
1553948556.850 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553948556.851 * * [simplify]: iters left: 6 (13 enodes)
1553948556.854 * * [simplify]: iters left: 5 (45 enodes)
1553948556.860 * * [simplify]: iters left: 4 (58 enodes)
1553948556.870 * * [simplify]: iters left: 3 (65 enodes)
1553948556.879 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.879 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.879 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.879 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948556.879 * * [simplify]: Extracting #4: cost 18 inf + 333
1553948556.879 * * [simplify]: Extracting #5: cost 6 inf + 1411
1553948556.880 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553948556.880 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553948556.881 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553948556.881 * [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)))))
1553948556.881 * * * * [progress]: [ 62 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1553948556.881 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1553948556.881 * * [simplify]: iters left: 4 (5 enodes)
1553948556.883 * * [simplify]: iters left: 3 (17 enodes)
1553948556.885 * * [simplify]: iters left: 2 (19 enodes)
1553948556.888 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.888 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.888 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948556.888 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948556.888 * * [simplify]: Extracting #4: cost 0 inf + 490
1553948556.888 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1553948556.888 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1553948556.889 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.889 * * [simplify]: iters left: 6 (13 enodes)
1553948556.892 * * [simplify]: iters left: 5 (45 enodes)
1553948556.898 * * [simplify]: iters left: 4 (58 enodes)
1553948556.907 * * [simplify]: iters left: 3 (65 enodes)
1553948556.915 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.915 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.915 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.915 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948556.915 * * [simplify]: Extracting #4: cost 18 inf + 293
1553948556.915 * * [simplify]: Extracting #5: cost 6 inf + 1331
1553948556.916 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553948556.916 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553948556.916 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553948556.916 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1553948556.917 * * * * [progress]: [ 63 / 86 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1553948556.917 * [simplify]: Simplifying (/ 1 1)
1553948556.917 * * [simplify]: iters left: 2 (2 enodes)
1553948556.918 * * [simplify]: iters left: 1 (6 enodes)
1553948556.919 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.919 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948556.919 * [simplify]: Simplified to 1
1553948556.919 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1553948556.919 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553948556.919 * * [simplify]: iters left: 6 (12 enodes)
1553948556.922 * * [simplify]: iters left: 5 (42 enodes)
1553948556.928 * * [simplify]: iters left: 4 (55 enodes)
1553948556.939 * * [simplify]: iters left: 3 (62 enodes)
1553948556.954 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.954 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948556.954 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948556.954 * * [simplify]: Extracting #3: cost 18 inf + 42
1553948556.954 * * [simplify]: Extracting #4: cost 18 inf + 129
1553948556.955 * * [simplify]: Extracting #5: cost 6 inf + 1502
1553948556.957 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553948556.958 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553948556.959 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553948556.959 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1553948556.959 * * * * [progress]: [ 64 / 86 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1553948556.959 * * * * [progress]: [ 65 / 86 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1553948556.959 * * * * [progress]: [ 66 / 86 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948556.959 * * * * [progress]: [ 67 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1553948556.959 * [simplify]: Simplifying (cbrt (sqrt k))
1553948556.959 * * [simplify]: iters left: 2 (3 enodes)
1553948556.961 * * [simplify]: iters left: 1 (9 enodes)
1553948556.963 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.963 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948556.963 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948556.963 * * [simplify]: Extracting #3: cost 4 inf + 1
1553948556.963 * * [simplify]: Extracting #4: cost 0 inf + 325
1553948556.963 * [simplify]: Simplified to (cbrt (sqrt k))
1553948556.963 * [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))))
1553948556.963 * * * * [progress]: [ 68 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1553948556.964 * [simplify]: Simplifying (sqrt (sqrt k))
1553948556.964 * * [simplify]: iters left: 2 (3 enodes)
1553948556.965 * * [simplify]: iters left: 1 (9 enodes)
1553948556.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.968 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948556.968 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948556.968 * * [simplify]: Extracting #3: cost 4 inf + 1
1553948556.968 * * [simplify]: Extracting #4: cost 0 inf + 245
1553948556.968 * [simplify]: Simplified to (sqrt (sqrt k))
1553948556.968 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1553948556.968 * * * * [progress]: [ 69 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1553948556.968 * [simplify]: Simplifying (sqrt k)
1553948556.968 * * [simplify]: iters left: 1 (2 enodes)
1553948556.969 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948556.969 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948556.969 * * [simplify]: Extracting #2: cost 2 inf + 1
1553948556.969 * * [simplify]: Extracting #3: cost 0 inf + 83
1553948556.969 * [simplify]: Simplified to (sqrt k)
1553948556.969 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))
1553948556.970 * * * * [progress]: [ 70 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948556.970 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553948556.970 * * [simplify]: iters left: 5 (7 enodes)
1553948556.974 * * [simplify]: iters left: 4 (26 enodes)
1553948556.982 * * [simplify]: iters left: 3 (34 enodes)
1553948556.992 * * [simplify]: iters left: 2 (39 enodes)
1553948557.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.001 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948557.001 * * [simplify]: Extracting #2: cost 10 inf + 1
1553948557.001 * * [simplify]: Extracting #3: cost 9 inf + 46
1553948557.002 * * [simplify]: Extracting #4: cost 1 inf + 626
1553948557.002 * * [simplify]: Extracting #5: cost 0 inf + 668
1553948557.003 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553948557.003 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1553948557.003 * * * * [progress]: [ 71 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948557.003 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553948557.003 * * [simplify]: iters left: 5 (7 enodes)
1553948557.007 * * [simplify]: iters left: 4 (26 enodes)
1553948557.015 * * [simplify]: iters left: 3 (34 enodes)
1553948557.025 * * [simplify]: iters left: 2 (39 enodes)
1553948557.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948557.034 * * [simplify]: Extracting #2: cost 10 inf + 1
1553948557.035 * * [simplify]: Extracting #3: cost 9 inf + 46
1553948557.035 * * [simplify]: Extracting #4: cost 1 inf + 626
1553948557.035 * * [simplify]: Extracting #5: cost 0 inf + 668
1553948557.036 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553948557.036 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1553948557.036 * * * * [progress]: [ 72 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1553948557.036 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553948557.036 * * [simplify]: iters left: 5 (8 enodes)
1553948557.040 * * [simplify]: iters left: 4 (27 enodes)
1553948557.049 * * [simplify]: iters left: 3 (32 enodes)
1553948557.058 * * [simplify]: iters left: 2 (34 enodes)
1553948557.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.068 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948557.068 * * [simplify]: Extracting #2: cost 11 inf + 0
1553948557.068 * * [simplify]: Extracting #3: cost 12 inf + 3
1553948557.068 * * [simplify]: Extracting #4: cost 8 inf + 171
1553948557.068 * * [simplify]: Extracting #5: cost 1 inf + 918
1553948557.069 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553948557.069 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948557.069 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1553948557.069 * * * * [progress]: [ 73 / 86 ] 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)))))))>
1553948557.070 * [simplify]: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948557.070 * * [simplify]: iters left: 6 (12 enodes)
1553948557.076 * * [simplify]: iters left: 5 (42 enodes)
1553948557.089 * * [simplify]: iters left: 4 (55 enodes)
1553948557.103 * * [simplify]: iters left: 3 (62 enodes)
1553948557.122 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.122 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948557.122 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948557.122 * * [simplify]: Extracting #3: cost 8 inf + 0
1553948557.122 * * [simplify]: Extracting #4: cost 19 inf + 0
1553948557.122 * * [simplify]: Extracting #5: cost 22 inf + 4
1553948557.123 * * [simplify]: Extracting #6: cost 10 inf + 1256
1553948557.123 * * [simplify]: Extracting #7: cost 1 inf + 3074
1553948557.124 * * [simplify]: Extracting #8: cost 0 inf + 3569
1553948557.125 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948557.125 * [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)))))))
1553948557.125 * * * * [progress]: [ 74 / 86 ] 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)))))))>
1553948557.125 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948557.125 * * [simplify]: iters left: 6 (11 enodes)
1553948557.128 * * [simplify]: iters left: 5 (39 enodes)
1553948557.134 * * [simplify]: iters left: 4 (52 enodes)
1553948557.141 * * [simplify]: iters left: 3 (59 enodes)
1553948557.149 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.149 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948557.149 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948557.149 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948557.149 * * [simplify]: Extracting #4: cost 19 inf + 46
1553948557.149 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553948557.150 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553948557.150 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553948557.150 * [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)))))))
1553948557.150 * * * * [progress]: [ 75 / 86 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948557.150 * * * * [progress]: [ 76 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
1553948557.150 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553948557.150 * * [simplify]: iters left: 5 (7 enodes)
1553948557.153 * * [simplify]: iters left: 4 (26 enodes)
1553948557.156 * * [simplify]: iters left: 3 (34 enodes)
1553948557.166 * * [simplify]: iters left: 2 (39 enodes)
1553948557.176 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.176 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948557.176 * * [simplify]: Extracting #2: cost 10 inf + 1
1553948557.176 * * [simplify]: Extracting #3: cost 9 inf + 46
1553948557.176 * * [simplify]: Extracting #4: cost 1 inf + 626
1553948557.176 * * [simplify]: Extracting #5: cost 0 inf + 668
1553948557.177 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553948557.177 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
1553948557.177 * * * * [progress]: [ 77 / 86 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948557.177 * * * * [progress]: [ 78 / 86 ] 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)))>
1553948557.178 * [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)))))
1553948557.178 * * [simplify]: iters left: 6 (37 enodes)
1553948557.198 * * [simplify]: iters left: 5 (182 enodes)
1553948557.250 * * [simplify]: iters left: 4 (487 enodes)
1553948557.520 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948557.521 * * [simplify]: Extracting #1: cost 74 inf + 0
1553948557.523 * * [simplify]: Extracting #2: cost 339 inf + 3
1553948557.532 * * [simplify]: Extracting #3: cost 496 inf + 559
1553948557.541 * * [simplify]: Extracting #4: cost 330 inf + 53115
1553948557.582 * * [simplify]: Extracting #5: cost 70 inf + 174349
1553948557.663 * * [simplify]: Extracting #6: cost 0 inf + 222643
1553948557.727 * * [simplify]: Extracting #7: cost 0 inf + 219647
1553948557.823 * * [simplify]: Extracting #8: cost 0 inf + 219582
1553948557.896 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1553948557.897 * [simplify]: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))) (sqrt k)))
1553948557.897 * * * * [progress]: [ 79 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1553948557.897 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553948557.897 * * [simplify]: iters left: 6 (15 enodes)
1553948557.906 * * [simplify]: iters left: 5 (63 enodes)
1553948557.928 * * [simplify]: iters left: 4 (108 enodes)
1553948557.952 * * [simplify]: iters left: 3 (268 enodes)
1553948558.066 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948558.067 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948558.067 * * [simplify]: Extracting #2: cost 116 inf + 0
1553948558.069 * * [simplify]: Extracting #3: cost 211 inf + 668
1553948558.073 * * [simplify]: Extracting #4: cost 149 inf + 9715
1553948558.083 * * [simplify]: Extracting #5: cost 42 inf + 34460
1553948558.092 * * [simplify]: Extracting #6: cost 0 inf + 46240
1553948558.101 * * [simplify]: Extracting #7: cost 0 inf + 45870
1553948558.117 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1553948558.117 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma k -1/2 1/2)) (sqrt k)))
1553948558.118 * * * * [progress]: [ 80 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1553948558.118 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553948558.119 * * [simplify]: iters left: 6 (15 enodes)
1553948558.127 * * [simplify]: iters left: 5 (60 enodes)
1553948558.146 * * [simplify]: iters left: 4 (111 enodes)
1553948558.168 * * [simplify]: iters left: 3 (302 enodes)
1553948558.333 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948558.333 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948558.334 * * [simplify]: Extracting #2: cost 144 inf + 0
1553948558.336 * * [simplify]: Extracting #3: cost 312 inf + 558
1553948558.339 * * [simplify]: Extracting #4: cost 279 inf + 4663
1553948558.353 * * [simplify]: Extracting #5: cost 100 inf + 51858
1553948558.383 * * [simplify]: Extracting #6: cost 2 inf + 80601
1553948558.409 * * [simplify]: Extracting #7: cost 0 inf + 76621
1553948558.426 * * [simplify]: Extracting #8: cost 0 inf + 76306
1553948558.442 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1553948558.442 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)) (sqrt k)))
1553948558.442 * * * * [progress]: [ 81 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948558.442 * [simplify]: Simplifying (* 2 (* n PI))
1553948558.442 * * [simplify]: iters left: 4 (5 enodes)
1553948558.445 * * [simplify]: iters left: 3 (19 enodes)
1553948558.451 * * [simplify]: iters left: 2 (27 enodes)
1553948558.459 * * [simplify]: iters left: 1 (32 enodes)
1553948558.466 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948558.466 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948558.466 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948558.467 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948558.467 * [simplify]: Simplified to (* (* PI n) 2)
1553948558.467 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553948558.467 * * * * [progress]: [ 82 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948558.467 * [simplify]: Simplifying (* 2 (* n PI))
1553948558.468 * * [simplify]: iters left: 4 (5 enodes)
1553948558.470 * * [simplify]: iters left: 3 (19 enodes)
1553948558.476 * * [simplify]: iters left: 2 (27 enodes)
1553948558.484 * * [simplify]: iters left: 1 (32 enodes)
1553948558.492 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948558.492 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948558.492 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948558.492 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948558.492 * [simplify]: Simplified to (* (* PI n) 2)
1553948558.492 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553948558.492 * * * * [progress]: [ 83 / 86 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553948558.493 * [simplify]: Simplifying (* 2 (* n PI))
1553948558.493 * * [simplify]: iters left: 4 (5 enodes)
1553948558.496 * * [simplify]: iters left: 3 (19 enodes)
1553948558.502 * * [simplify]: iters left: 2 (27 enodes)
1553948558.509 * * [simplify]: iters left: 1 (32 enodes)
1553948558.517 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948558.517 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948558.518 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948558.518 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948558.518 * [simplify]: Simplified to (* (* PI n) 2)
1553948558.518 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553948558.518 * * * * [progress]: [ 84 / 86 ] 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)))))))))))))))))))))))>
1553948558.519 * [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))))))))))))))))))))))
1553948558.519 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948558.519 * * * * [progress]: [ 85 / 86 ] 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)))))))))>
1553948558.520 * [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))))))))
1553948558.520 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948558.520 * * * * [progress]: [ 86 / 86 ] 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))))))))))))>
1553948558.520 * [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)))))))))))
1553948558.520 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948558.521 * * * [progress]: adding candidates to table
1553948559.371 * * [progress]: iteration 2 / 4
1553948559.371 * * * [progress]: picking best candidate
1553948559.433 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948559.433 * * * [progress]: localizing error
1553948559.444 * * * [progress]: generating rewritten candidates
1553948559.445 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553948559.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553948559.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1553948559.456 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1553948559.461 * * * [progress]: generating series expansions
1553948559.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553948559.461 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553948559.461 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553948559.461 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948559.461 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948559.461 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948559.461 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948559.461 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.461 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.461 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948559.461 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.461 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.461 * [taylor]: Taking taylor expansion of k in k
1553948559.462 * [backup-simplify]: Simplify 0 into 0
1553948559.462 * [backup-simplify]: Simplify 1 into 1
1553948559.462 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948559.462 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948559.462 * [taylor]: Taking taylor expansion of 2 in k
1553948559.462 * [backup-simplify]: Simplify 2 into 2
1553948559.462 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948559.462 * [taylor]: Taking taylor expansion of n in k
1553948559.462 * [backup-simplify]: Simplify n into n
1553948559.462 * [taylor]: Taking taylor expansion of PI in k
1553948559.462 * [backup-simplify]: Simplify PI into PI
1553948559.462 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948559.462 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948559.462 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948559.462 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948559.462 * [backup-simplify]: Simplify (- 0) into 0
1553948559.463 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.463 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948559.463 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948559.463 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948559.463 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948559.463 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948559.463 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948559.463 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.463 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.463 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948559.463 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.463 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.463 * [taylor]: Taking taylor expansion of k in n
1553948559.463 * [backup-simplify]: Simplify k into k
1553948559.463 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948559.463 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.463 * [taylor]: Taking taylor expansion of 2 in n
1553948559.463 * [backup-simplify]: Simplify 2 into 2
1553948559.463 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.463 * [taylor]: Taking taylor expansion of n in n
1553948559.463 * [backup-simplify]: Simplify 0 into 0
1553948559.463 * [backup-simplify]: Simplify 1 into 1
1553948559.463 * [taylor]: Taking taylor expansion of PI in n
1553948559.463 * [backup-simplify]: Simplify PI into PI
1553948559.464 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.464 * [backup-simplify]: Simplify (* 2 0) into 0
1553948559.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.466 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948559.466 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.466 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948559.466 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948559.467 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948559.467 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.468 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948559.469 * [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)))))
1553948559.469 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948559.469 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948559.469 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948559.469 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948559.469 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.469 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.469 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948559.469 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.469 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.469 * [taylor]: Taking taylor expansion of k in n
1553948559.469 * [backup-simplify]: Simplify k into k
1553948559.469 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948559.469 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.469 * [taylor]: Taking taylor expansion of 2 in n
1553948559.469 * [backup-simplify]: Simplify 2 into 2
1553948559.469 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.469 * [taylor]: Taking taylor expansion of n in n
1553948559.469 * [backup-simplify]: Simplify 0 into 0
1553948559.469 * [backup-simplify]: Simplify 1 into 1
1553948559.469 * [taylor]: Taking taylor expansion of PI in n
1553948559.469 * [backup-simplify]: Simplify PI into PI
1553948559.469 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.470 * [backup-simplify]: Simplify (* 2 0) into 0
1553948559.470 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.471 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948559.472 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.472 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948559.472 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948559.472 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948559.473 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.474 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948559.474 * [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)))))
1553948559.474 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948559.474 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948559.474 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948559.474 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.474 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.474 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948559.474 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.474 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.474 * [taylor]: Taking taylor expansion of k in k
1553948559.474 * [backup-simplify]: Simplify 0 into 0
1553948559.474 * [backup-simplify]: Simplify 1 into 1
1553948559.474 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948559.474 * [taylor]: Taking taylor expansion of (log n) in k
1553948559.474 * [taylor]: Taking taylor expansion of n in k
1553948559.475 * [backup-simplify]: Simplify n into n
1553948559.475 * [backup-simplify]: Simplify (log n) into (log n)
1553948559.475 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948559.475 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948559.475 * [taylor]: Taking taylor expansion of 2 in k
1553948559.475 * [backup-simplify]: Simplify 2 into 2
1553948559.475 * [taylor]: Taking taylor expansion of PI in k
1553948559.475 * [backup-simplify]: Simplify PI into PI
1553948559.479 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.480 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.480 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948559.481 * [backup-simplify]: Simplify (- 0) into 0
1553948559.481 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.482 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.483 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948559.484 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948559.485 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948559.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948559.487 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948559.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948559.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948559.490 * [backup-simplify]: Simplify (- 0) into 0
1553948559.490 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.492 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.493 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948559.494 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948559.494 * [taylor]: Taking taylor expansion of 0 in k
1553948559.494 * [backup-simplify]: Simplify 0 into 0
1553948559.494 * [backup-simplify]: Simplify 0 into 0
1553948559.494 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948559.495 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948559.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948559.496 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.497 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948559.497 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.497 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948559.500 * [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)))))))
1553948559.501 * [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)))))))
1553948559.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948559.504 * [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
1553948559.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948559.505 * [backup-simplify]: Simplify (- 0) into 0
1553948559.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.506 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.507 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948559.508 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948559.508 * [taylor]: Taking taylor expansion of 0 in k
1553948559.508 * [backup-simplify]: Simplify 0 into 0
1553948559.508 * [backup-simplify]: Simplify 0 into 0
1553948559.508 * [backup-simplify]: Simplify 0 into 0
1553948559.509 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948559.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.512 * [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
1553948559.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948559.513 * [backup-simplify]: Simplify (- 0) into 0
1553948559.513 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948559.517 * [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)))))
1553948559.520 * [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)))))
1553948559.525 * [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)))))
1553948559.525 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553948559.525 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553948559.525 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948559.525 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948559.525 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948559.525 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948559.526 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.526 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.526 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.526 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.526 * [taylor]: Taking taylor expansion of k in k
1553948559.526 * [backup-simplify]: Simplify 0 into 0
1553948559.526 * [backup-simplify]: Simplify 1 into 1
1553948559.526 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.526 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948559.526 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948559.526 * [taylor]: Taking taylor expansion of 2 in k
1553948559.526 * [backup-simplify]: Simplify 2 into 2
1553948559.526 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.526 * [taylor]: Taking taylor expansion of PI in k
1553948559.526 * [backup-simplify]: Simplify PI into PI
1553948559.526 * [taylor]: Taking taylor expansion of n in k
1553948559.526 * [backup-simplify]: Simplify n into n
1553948559.526 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.526 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948559.526 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948559.526 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.527 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.527 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.527 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948559.527 * [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))))
1553948559.527 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.527 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.527 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.527 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.527 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.527 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.527 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.527 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.527 * [taylor]: Taking taylor expansion of k in n
1553948559.527 * [backup-simplify]: Simplify k into k
1553948559.527 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.527 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.527 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.527 * [taylor]: Taking taylor expansion of 2 in n
1553948559.527 * [backup-simplify]: Simplify 2 into 2
1553948559.527 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.527 * [taylor]: Taking taylor expansion of PI in n
1553948559.527 * [backup-simplify]: Simplify PI into PI
1553948559.528 * [taylor]: Taking taylor expansion of n in n
1553948559.528 * [backup-simplify]: Simplify 0 into 0
1553948559.528 * [backup-simplify]: Simplify 1 into 1
1553948559.528 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.528 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.529 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.529 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.529 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.529 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.530 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.531 * [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)))
1553948559.533 * [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))))
1553948559.533 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.533 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.533 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.533 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.533 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.533 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.533 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.533 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.533 * [taylor]: Taking taylor expansion of k in n
1553948559.533 * [backup-simplify]: Simplify k into k
1553948559.533 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.533 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.533 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.533 * [taylor]: Taking taylor expansion of 2 in n
1553948559.533 * [backup-simplify]: Simplify 2 into 2
1553948559.533 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.533 * [taylor]: Taking taylor expansion of PI in n
1553948559.533 * [backup-simplify]: Simplify PI into PI
1553948559.533 * [taylor]: Taking taylor expansion of n in n
1553948559.533 * [backup-simplify]: Simplify 0 into 0
1553948559.533 * [backup-simplify]: Simplify 1 into 1
1553948559.534 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.534 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.535 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.535 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.535 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.535 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.538 * [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)))
1553948559.539 * [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))))
1553948559.539 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948559.539 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948559.539 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948559.539 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.539 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.539 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.539 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.539 * [taylor]: Taking taylor expansion of k in k
1553948559.539 * [backup-simplify]: Simplify 0 into 0
1553948559.539 * [backup-simplify]: Simplify 1 into 1
1553948559.540 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.540 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948559.540 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948559.540 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948559.540 * [taylor]: Taking taylor expansion of 2 in k
1553948559.540 * [backup-simplify]: Simplify 2 into 2
1553948559.540 * [taylor]: Taking taylor expansion of PI in k
1553948559.540 * [backup-simplify]: Simplify PI into PI
1553948559.540 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.541 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.541 * [taylor]: Taking taylor expansion of (log n) in k
1553948559.541 * [taylor]: Taking taylor expansion of n in k
1553948559.541 * [backup-simplify]: Simplify n into n
1553948559.541 * [backup-simplify]: Simplify (log n) into (log n)
1553948559.542 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.542 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.543 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.543 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948559.544 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948559.545 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948559.546 * [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))))
1553948559.547 * [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))))
1553948559.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.549 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948559.550 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948559.551 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948559.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948559.551 * [backup-simplify]: Simplify (- 0) into 0
1553948559.552 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.553 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.554 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948559.555 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948559.555 * [taylor]: Taking taylor expansion of 0 in k
1553948559.555 * [backup-simplify]: Simplify 0 into 0
1553948559.555 * [backup-simplify]: Simplify 0 into 0
1553948559.555 * [backup-simplify]: Simplify 0 into 0
1553948559.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.556 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.558 * [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
1553948559.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948559.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948559.559 * [backup-simplify]: Simplify (- 0) into 0
1553948559.559 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.561 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948559.562 * [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
1553948559.562 * [taylor]: Taking taylor expansion of 0 in k
1553948559.563 * [backup-simplify]: Simplify 0 into 0
1553948559.563 * [backup-simplify]: Simplify 0 into 0
1553948559.563 * [backup-simplify]: Simplify 0 into 0
1553948559.563 * [backup-simplify]: Simplify 0 into 0
1553948559.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.567 * [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
1553948559.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948559.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948559.568 * [backup-simplify]: Simplify (- 0) into 0
1553948559.569 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.569 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.570 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948559.572 * [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
1553948559.572 * [taylor]: Taking taylor expansion of 0 in k
1553948559.572 * [backup-simplify]: Simplify 0 into 0
1553948559.572 * [backup-simplify]: Simplify 0 into 0
1553948559.573 * [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)))))
1553948559.573 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553948559.573 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553948559.573 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948559.573 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948559.573 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948559.573 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948559.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.573 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.573 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.573 * [taylor]: Taking taylor expansion of k in k
1553948559.573 * [backup-simplify]: Simplify 0 into 0
1553948559.573 * [backup-simplify]: Simplify 1 into 1
1553948559.573 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.573 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.573 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.573 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948559.573 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948559.573 * [taylor]: Taking taylor expansion of -2 in k
1553948559.573 * [backup-simplify]: Simplify -2 into -2
1553948559.573 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.573 * [taylor]: Taking taylor expansion of PI in k
1553948559.573 * [backup-simplify]: Simplify PI into PI
1553948559.573 * [taylor]: Taking taylor expansion of n in k
1553948559.573 * [backup-simplify]: Simplify n into n
1553948559.574 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.574 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948559.574 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948559.574 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.574 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.574 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948559.574 * [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)))
1553948559.574 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.574 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948559.574 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948559.574 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.575 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.575 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.575 * [taylor]: Taking taylor expansion of k in n
1553948559.575 * [backup-simplify]: Simplify k into k
1553948559.575 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.575 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.575 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.575 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.575 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.575 * [taylor]: Taking taylor expansion of -2 in n
1553948559.575 * [backup-simplify]: Simplify -2 into -2
1553948559.575 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.575 * [taylor]: Taking taylor expansion of PI in n
1553948559.575 * [backup-simplify]: Simplify PI into PI
1553948559.575 * [taylor]: Taking taylor expansion of n in n
1553948559.575 * [backup-simplify]: Simplify 0 into 0
1553948559.575 * [backup-simplify]: Simplify 1 into 1
1553948559.575 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.575 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.579 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.579 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.580 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.581 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.581 * [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)))
1553948559.582 * [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))))
1553948559.582 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.582 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948559.582 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948559.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.582 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.582 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.582 * [taylor]: Taking taylor expansion of k in n
1553948559.582 * [backup-simplify]: Simplify k into k
1553948559.582 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.582 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.582 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.582 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.582 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.582 * [taylor]: Taking taylor expansion of -2 in n
1553948559.582 * [backup-simplify]: Simplify -2 into -2
1553948559.582 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.582 * [taylor]: Taking taylor expansion of PI in n
1553948559.582 * [backup-simplify]: Simplify PI into PI
1553948559.582 * [taylor]: Taking taylor expansion of n in n
1553948559.582 * [backup-simplify]: Simplify 0 into 0
1553948559.582 * [backup-simplify]: Simplify 1 into 1
1553948559.583 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.583 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.584 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.584 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.584 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.585 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.586 * [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)))
1553948559.586 * [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))))
1553948559.586 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948559.586 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948559.586 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948559.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.586 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.586 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.587 * [taylor]: Taking taylor expansion of k in k
1553948559.587 * [backup-simplify]: Simplify 0 into 0
1553948559.587 * [backup-simplify]: Simplify 1 into 1
1553948559.587 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.587 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.587 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.587 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948559.587 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948559.587 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948559.587 * [taylor]: Taking taylor expansion of -2 in k
1553948559.587 * [backup-simplify]: Simplify -2 into -2
1553948559.587 * [taylor]: Taking taylor expansion of PI in k
1553948559.587 * [backup-simplify]: Simplify PI into PI
1553948559.587 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.588 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.588 * [taylor]: Taking taylor expansion of (log n) in k
1553948559.588 * [taylor]: Taking taylor expansion of n in k
1553948559.588 * [backup-simplify]: Simplify n into n
1553948559.588 * [backup-simplify]: Simplify (log n) into (log n)
1553948559.588 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.588 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.588 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948559.589 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948559.590 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948559.590 * [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))))
1553948559.591 * [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))))
1553948559.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.592 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948559.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948559.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948559.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948559.594 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.594 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.595 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948559.596 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948559.596 * [taylor]: Taking taylor expansion of 0 in k
1553948559.596 * [backup-simplify]: Simplify 0 into 0
1553948559.596 * [backup-simplify]: Simplify 0 into 0
1553948559.596 * [backup-simplify]: Simplify 0 into 0
1553948559.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.597 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.599 * [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
1553948559.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948559.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948559.600 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.601 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.602 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948559.603 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948559.603 * [taylor]: Taking taylor expansion of 0 in k
1553948559.603 * [backup-simplify]: Simplify 0 into 0
1553948559.603 * [backup-simplify]: Simplify 0 into 0
1553948559.604 * [backup-simplify]: Simplify 0 into 0
1553948559.604 * [backup-simplify]: Simplify 0 into 0
1553948559.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.605 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.608 * [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
1553948559.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948559.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948559.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.610 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.611 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553948559.613 * [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
1553948559.613 * [taylor]: Taking taylor expansion of 0 in k
1553948559.613 * [backup-simplify]: Simplify 0 into 0
1553948559.613 * [backup-simplify]: Simplify 0 into 0
1553948559.613 * [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)))))
1553948559.613 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553948559.614 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553948559.614 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553948559.614 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.614 * [taylor]: Taking taylor expansion of 2 in n
1553948559.614 * [backup-simplify]: Simplify 2 into 2
1553948559.614 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.614 * [taylor]: Taking taylor expansion of n in n
1553948559.614 * [backup-simplify]: Simplify 0 into 0
1553948559.614 * [backup-simplify]: Simplify 1 into 1
1553948559.614 * [taylor]: Taking taylor expansion of PI in n
1553948559.614 * [backup-simplify]: Simplify PI into PI
1553948559.614 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.614 * [taylor]: Taking taylor expansion of 2 in n
1553948559.614 * [backup-simplify]: Simplify 2 into 2
1553948559.614 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.614 * [taylor]: Taking taylor expansion of n in n
1553948559.614 * [backup-simplify]: Simplify 0 into 0
1553948559.614 * [backup-simplify]: Simplify 1 into 1
1553948559.614 * [taylor]: Taking taylor expansion of PI in n
1553948559.614 * [backup-simplify]: Simplify PI into PI
1553948559.614 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.614 * [backup-simplify]: Simplify (* 2 0) into 0
1553948559.614 * [backup-simplify]: Simplify 0 into 0
1553948559.616 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.616 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948559.617 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948559.618 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948559.618 * [backup-simplify]: Simplify 0 into 0
1553948559.619 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.619 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948559.619 * [backup-simplify]: Simplify 0 into 0
1553948559.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948559.621 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553948559.621 * [backup-simplify]: Simplify 0 into 0
1553948559.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948559.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553948559.624 * [backup-simplify]: Simplify 0 into 0
1553948559.625 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948559.627 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553948559.627 * [backup-simplify]: Simplify 0 into 0
1553948559.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553948559.631 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553948559.631 * [backup-simplify]: Simplify 0 into 0
1553948559.632 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553948559.632 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553948559.632 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553948559.632 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.632 * [taylor]: Taking taylor expansion of 2 in n
1553948559.632 * [backup-simplify]: Simplify 2 into 2
1553948559.632 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.632 * [taylor]: Taking taylor expansion of PI in n
1553948559.632 * [backup-simplify]: Simplify PI into PI
1553948559.632 * [taylor]: Taking taylor expansion of n in n
1553948559.632 * [backup-simplify]: Simplify 0 into 0
1553948559.632 * [backup-simplify]: Simplify 1 into 1
1553948559.633 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.633 * [taylor]: Taking taylor expansion of 2 in n
1553948559.633 * [backup-simplify]: Simplify 2 into 2
1553948559.633 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.633 * [taylor]: Taking taylor expansion of PI in n
1553948559.633 * [backup-simplify]: Simplify PI into PI
1553948559.633 * [taylor]: Taking taylor expansion of n in n
1553948559.633 * [backup-simplify]: Simplify 0 into 0
1553948559.633 * [backup-simplify]: Simplify 1 into 1
1553948559.633 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.634 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.636 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948559.636 * [backup-simplify]: Simplify 0 into 0
1553948559.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.638 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.638 * [backup-simplify]: Simplify 0 into 0
1553948559.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.640 * [backup-simplify]: Simplify 0 into 0
1553948559.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948559.643 * [backup-simplify]: Simplify 0 into 0
1553948559.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948559.645 * [backup-simplify]: Simplify 0 into 0
1553948559.646 * [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
1553948559.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948559.647 * [backup-simplify]: Simplify 0 into 0
1553948559.647 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553948559.647 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553948559.647 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553948559.647 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.647 * [taylor]: Taking taylor expansion of -2 in n
1553948559.647 * [backup-simplify]: Simplify -2 into -2
1553948559.647 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.647 * [taylor]: Taking taylor expansion of PI in n
1553948559.647 * [backup-simplify]: Simplify PI into PI
1553948559.647 * [taylor]: Taking taylor expansion of n in n
1553948559.647 * [backup-simplify]: Simplify 0 into 0
1553948559.647 * [backup-simplify]: Simplify 1 into 1
1553948559.647 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.648 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.648 * [taylor]: Taking taylor expansion of -2 in n
1553948559.648 * [backup-simplify]: Simplify -2 into -2
1553948559.648 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.648 * [taylor]: Taking taylor expansion of PI in n
1553948559.648 * [backup-simplify]: Simplify PI into PI
1553948559.648 * [taylor]: Taking taylor expansion of n in n
1553948559.648 * [backup-simplify]: Simplify 0 into 0
1553948559.648 * [backup-simplify]: Simplify 1 into 1
1553948559.648 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.648 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.649 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.649 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948559.649 * [backup-simplify]: Simplify 0 into 0
1553948559.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.651 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.651 * [backup-simplify]: Simplify 0 into 0
1553948559.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.652 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948559.652 * [backup-simplify]: Simplify 0 into 0
1553948559.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.653 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948559.653 * [backup-simplify]: Simplify 0 into 0
1553948559.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.655 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948559.655 * [backup-simplify]: Simplify 0 into 0
1553948559.656 * [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
1553948559.657 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948559.657 * [backup-simplify]: Simplify 0 into 0
1553948559.657 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553948559.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1553948559.657 * [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))
1553948559.657 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1553948559.657 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1553948559.657 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948559.657 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948559.657 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948559.657 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948559.657 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948559.657 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.657 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.657 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948559.657 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.657 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.657 * [taylor]: Taking taylor expansion of k in n
1553948559.657 * [backup-simplify]: Simplify k into k
1553948559.657 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948559.658 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.658 * [taylor]: Taking taylor expansion of 2 in n
1553948559.658 * [backup-simplify]: Simplify 2 into 2
1553948559.658 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.658 * [taylor]: Taking taylor expansion of n in n
1553948559.658 * [backup-simplify]: Simplify 0 into 0
1553948559.658 * [backup-simplify]: Simplify 1 into 1
1553948559.658 * [taylor]: Taking taylor expansion of PI in n
1553948559.658 * [backup-simplify]: Simplify PI into PI
1553948559.658 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.658 * [backup-simplify]: Simplify (* 2 0) into 0
1553948559.659 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.660 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948559.661 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.661 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948559.661 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948559.661 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948559.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.663 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948559.663 * [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)))))
1553948559.664 * [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))))))
1553948559.664 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948559.664 * [taylor]: Taking taylor expansion of k in n
1553948559.664 * [backup-simplify]: Simplify k into k
1553948559.664 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948559.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948559.664 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1553948559.664 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948559.664 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948559.664 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948559.664 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948559.664 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948559.664 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.664 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.664 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948559.664 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.664 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.664 * [taylor]: Taking taylor expansion of k in k
1553948559.664 * [backup-simplify]: Simplify 0 into 0
1553948559.664 * [backup-simplify]: Simplify 1 into 1
1553948559.664 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948559.664 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948559.664 * [taylor]: Taking taylor expansion of 2 in k
1553948559.664 * [backup-simplify]: Simplify 2 into 2
1553948559.664 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948559.664 * [taylor]: Taking taylor expansion of n in k
1553948559.664 * [backup-simplify]: Simplify n into n
1553948559.664 * [taylor]: Taking taylor expansion of PI in k
1553948559.664 * [backup-simplify]: Simplify PI into PI
1553948559.664 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948559.664 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948559.664 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948559.665 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948559.665 * [backup-simplify]: Simplify (- 0) into 0
1553948559.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.666 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948559.666 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948559.666 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553948559.666 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948559.666 * [taylor]: Taking taylor expansion of k in k
1553948559.666 * [backup-simplify]: Simplify 0 into 0
1553948559.666 * [backup-simplify]: Simplify 1 into 1
1553948559.666 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948559.667 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1553948559.667 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948559.667 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948559.667 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948559.667 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948559.667 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948559.667 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.667 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.667 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948559.667 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.667 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.667 * [taylor]: Taking taylor expansion of k in k
1553948559.667 * [backup-simplify]: Simplify 0 into 0
1553948559.667 * [backup-simplify]: Simplify 1 into 1
1553948559.667 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948559.667 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948559.667 * [taylor]: Taking taylor expansion of 2 in k
1553948559.667 * [backup-simplify]: Simplify 2 into 2
1553948559.667 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948559.667 * [taylor]: Taking taylor expansion of n in k
1553948559.667 * [backup-simplify]: Simplify n into n
1553948559.667 * [taylor]: Taking taylor expansion of PI in k
1553948559.667 * [backup-simplify]: Simplify PI into PI
1553948559.667 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948559.667 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948559.668 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948559.668 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948559.668 * [backup-simplify]: Simplify (- 0) into 0
1553948559.668 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.668 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948559.668 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948559.669 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553948559.669 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948559.669 * [taylor]: Taking taylor expansion of k in k
1553948559.669 * [backup-simplify]: Simplify 0 into 0
1553948559.669 * [backup-simplify]: Simplify 1 into 1
1553948559.669 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948559.670 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1553948559.670 * [taylor]: Taking taylor expansion of 0 in n
1553948559.670 * [backup-simplify]: Simplify 0 into 0
1553948559.670 * [backup-simplify]: Simplify 0 into 0
1553948559.670 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553948559.671 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553948559.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553948559.671 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948559.672 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.672 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553948559.672 * [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)))))
1553948559.673 * [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)))))
1553948559.675 * [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))))
1553948559.675 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1553948559.675 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1553948559.675 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.675 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1553948559.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553948559.675 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553948559.675 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.675 * [taylor]: Taking taylor expansion of n in n
1553948559.675 * [backup-simplify]: Simplify 0 into 0
1553948559.675 * [backup-simplify]: Simplify 1 into 1
1553948559.675 * [taylor]: Taking taylor expansion of PI in n
1553948559.675 * [backup-simplify]: Simplify PI into PI
1553948559.675 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.677 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553948559.678 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.684 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553948559.684 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553948559.684 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.684 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.684 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553948559.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553948559.686 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.687 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1553948559.690 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.692 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.693 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.693 * [backup-simplify]: Simplify 0 into 0
1553948559.695 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948559.695 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553948559.696 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553948559.697 * [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
1553948559.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948559.698 * [backup-simplify]: Simplify (- 0) into 0
1553948559.698 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553948559.699 * [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)))
1553948559.701 * [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))))))
1553948559.704 * [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))))))
1553948559.705 * [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
1553948559.705 * [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
1553948559.705 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1553948559.705 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.705 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.705 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1553948559.705 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1553948559.705 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948559.705 * [taylor]: Taking taylor expansion of 2 in n
1553948559.705 * [backup-simplify]: Simplify 2 into 2
1553948559.705 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948559.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948559.705 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1553948559.705 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948559.705 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948559.705 * [taylor]: Taking taylor expansion of 2 in n
1553948559.705 * [backup-simplify]: Simplify 2 into 2
1553948559.705 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.705 * [taylor]: Taking taylor expansion of n in n
1553948559.705 * [backup-simplify]: Simplify 0 into 0
1553948559.705 * [backup-simplify]: Simplify 1 into 1
1553948559.706 * [taylor]: Taking taylor expansion of PI in n
1553948559.706 * [backup-simplify]: Simplify PI into PI
1553948559.706 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.706 * [backup-simplify]: Simplify (* 2 0) into 0
1553948559.707 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.708 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948559.708 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.708 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1553948559.708 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553948559.708 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.708 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.709 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553948559.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553948559.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553948559.710 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553948559.710 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.710 * [taylor]: Taking taylor expansion of n in n
1553948559.710 * [backup-simplify]: Simplify 0 into 0
1553948559.710 * [backup-simplify]: Simplify 1 into 1
1553948559.710 * [taylor]: Taking taylor expansion of PI in n
1553948559.710 * [backup-simplify]: Simplify PI into PI
1553948559.710 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.712 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.712 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553948559.712 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.714 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553948559.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1553948559.715 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1553948559.715 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.715 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1553948559.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553948559.715 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553948559.715 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948559.715 * [taylor]: Taking taylor expansion of n in n
1553948559.715 * [backup-simplify]: Simplify 0 into 0
1553948559.715 * [backup-simplify]: Simplify 1 into 1
1553948559.715 * [taylor]: Taking taylor expansion of PI in n
1553948559.715 * [backup-simplify]: Simplify PI into PI
1553948559.715 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948559.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948559.718 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553948559.718 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.720 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553948559.720 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553948559.720 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.720 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.721 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553948559.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553948559.723 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.724 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1553948559.726 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1553948559.728 * [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)))))
1553948559.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948559.730 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1553948559.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948559.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948559.734 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948559.736 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1553948559.738 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1553948559.741 * [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)))))
1553948559.743 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1553948559.755 * [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)))))
1553948559.758 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.759 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1553948559.764 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.767 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553948559.781 * [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)))))))
1553948559.795 * [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)))))))
1553948559.810 * [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)))))))
1553948559.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1553948559.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948559.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1553948559.818 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1553948559.825 * [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))))
1553948559.834 * [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))))
1553948559.839 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1553948559.843 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1553948559.865 * [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)))))))))))
1553948559.866 * [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)))
1553948559.866 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1553948559.866 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.866 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.866 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.866 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.866 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.866 * [taylor]: Taking taylor expansion of k in n
1553948559.866 * [backup-simplify]: Simplify k into k
1553948559.866 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.866 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.866 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.866 * [taylor]: Taking taylor expansion of 2 in n
1553948559.866 * [backup-simplify]: Simplify 2 into 2
1553948559.866 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.866 * [taylor]: Taking taylor expansion of PI in n
1553948559.866 * [backup-simplify]: Simplify PI into PI
1553948559.866 * [taylor]: Taking taylor expansion of n in n
1553948559.866 * [backup-simplify]: Simplify 0 into 0
1553948559.866 * [backup-simplify]: Simplify 1 into 1
1553948559.866 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.867 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.867 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.867 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.867 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.868 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.868 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.869 * [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)))
1553948559.870 * [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))))
1553948559.871 * [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)))))
1553948559.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948559.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.871 * [taylor]: Taking taylor expansion of k in n
1553948559.871 * [backup-simplify]: Simplify k into k
1553948559.871 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.871 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948559.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948559.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948559.871 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1553948559.871 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948559.871 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948559.871 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948559.871 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948559.871 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948559.871 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.871 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.871 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.871 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.871 * [taylor]: Taking taylor expansion of k in k
1553948559.871 * [backup-simplify]: Simplify 0 into 0
1553948559.871 * [backup-simplify]: Simplify 1 into 1
1553948559.871 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.871 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948559.872 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948559.872 * [taylor]: Taking taylor expansion of 2 in k
1553948559.872 * [backup-simplify]: Simplify 2 into 2
1553948559.872 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.872 * [taylor]: Taking taylor expansion of PI in k
1553948559.872 * [backup-simplify]: Simplify PI into PI
1553948559.872 * [taylor]: Taking taylor expansion of n in k
1553948559.872 * [backup-simplify]: Simplify n into n
1553948559.872 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.872 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948559.872 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948559.872 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.872 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.873 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.873 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948559.873 * [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))))
1553948559.873 * [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)))))
1553948559.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948559.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.873 * [taylor]: Taking taylor expansion of k in k
1553948559.873 * [backup-simplify]: Simplify 0 into 0
1553948559.873 * [backup-simplify]: Simplify 1 into 1
1553948559.873 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.873 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.874 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948559.874 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1553948559.874 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948559.874 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948559.874 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948559.874 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948559.874 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948559.874 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.874 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.874 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.875 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.875 * [taylor]: Taking taylor expansion of k in k
1553948559.875 * [backup-simplify]: Simplify 0 into 0
1553948559.875 * [backup-simplify]: Simplify 1 into 1
1553948559.875 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.875 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948559.875 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948559.875 * [taylor]: Taking taylor expansion of 2 in k
1553948559.875 * [backup-simplify]: Simplify 2 into 2
1553948559.875 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.875 * [taylor]: Taking taylor expansion of PI in k
1553948559.875 * [backup-simplify]: Simplify PI into PI
1553948559.875 * [taylor]: Taking taylor expansion of n in k
1553948559.875 * [backup-simplify]: Simplify n into n
1553948559.875 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.875 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948559.875 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948559.875 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.876 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948559.876 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948559.876 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948559.876 * [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))))
1553948559.876 * [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)))))
1553948559.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948559.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.876 * [taylor]: Taking taylor expansion of k in k
1553948559.876 * [backup-simplify]: Simplify 0 into 0
1553948559.876 * [backup-simplify]: Simplify 1 into 1
1553948559.877 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.877 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.878 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948559.878 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1553948559.878 * [taylor]: Taking taylor expansion of 0 in n
1553948559.878 * [backup-simplify]: Simplify 0 into 0
1553948559.878 * [backup-simplify]: Simplify 0 into 0
1553948559.878 * [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
1553948559.879 * [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)))))))
1553948559.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948559.879 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.879 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.879 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.879 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.879 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.879 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.879 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.879 * [taylor]: Taking taylor expansion of k in n
1553948559.879 * [backup-simplify]: Simplify k into k
1553948559.879 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.879 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.879 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.879 * [taylor]: Taking taylor expansion of 2 in n
1553948559.879 * [backup-simplify]: Simplify 2 into 2
1553948559.879 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.879 * [taylor]: Taking taylor expansion of PI in n
1553948559.879 * [backup-simplify]: Simplify PI into PI
1553948559.879 * [taylor]: Taking taylor expansion of n in n
1553948559.879 * [backup-simplify]: Simplify 0 into 0
1553948559.879 * [backup-simplify]: Simplify 1 into 1
1553948559.879 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.880 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.880 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.880 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.880 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.880 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.882 * [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)))
1553948559.883 * [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))))
1553948559.883 * [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)))))
1553948559.884 * [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)))))
1553948559.885 * [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)))))))
1553948559.885 * [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)))))))
1553948559.885 * [backup-simplify]: Simplify 0 into 0
1553948559.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948559.888 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948559.888 * [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
1553948559.889 * [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)))))))
1553948559.889 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948559.889 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.889 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.889 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.889 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.889 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.889 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.889 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.889 * [taylor]: Taking taylor expansion of k in n
1553948559.889 * [backup-simplify]: Simplify k into k
1553948559.889 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.889 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.889 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.889 * [taylor]: Taking taylor expansion of 2 in n
1553948559.889 * [backup-simplify]: Simplify 2 into 2
1553948559.889 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.889 * [taylor]: Taking taylor expansion of PI in n
1553948559.889 * [backup-simplify]: Simplify PI into PI
1553948559.889 * [taylor]: Taking taylor expansion of n in n
1553948559.889 * [backup-simplify]: Simplify 0 into 0
1553948559.889 * [backup-simplify]: Simplify 1 into 1
1553948559.890 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.890 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.891 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.891 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.891 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.891 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.893 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.894 * [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)))
1553948559.895 * [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))))
1553948559.896 * [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)))))
1553948559.897 * [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)))))
1553948559.898 * [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)))))))
1553948559.900 * [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)))))))
1553948559.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.901 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948559.903 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948559.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948559.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948559.904 * [backup-simplify]: Simplify (- 0) into 0
1553948559.904 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.906 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.907 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948559.909 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948559.911 * [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
1553948559.912 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1553948559.913 * [backup-simplify]: Simplify (- 0) into 0
1553948559.913 * [backup-simplify]: Simplify 0 into 0
1553948559.913 * [backup-simplify]: Simplify 0 into 0
1553948559.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948559.923 * [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
1553948559.923 * [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)))))))
1553948559.923 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948559.923 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.923 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.923 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948559.923 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.923 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.923 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.923 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.923 * [taylor]: Taking taylor expansion of k in n
1553948559.923 * [backup-simplify]: Simplify k into k
1553948559.923 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.923 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948559.923 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948559.924 * [taylor]: Taking taylor expansion of 2 in n
1553948559.924 * [backup-simplify]: Simplify 2 into 2
1553948559.924 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.924 * [taylor]: Taking taylor expansion of PI in n
1553948559.924 * [backup-simplify]: Simplify PI into PI
1553948559.924 * [taylor]: Taking taylor expansion of n in n
1553948559.924 * [backup-simplify]: Simplify 0 into 0
1553948559.924 * [backup-simplify]: Simplify 1 into 1
1553948559.924 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.924 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948559.925 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948559.925 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.925 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948559.925 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948559.926 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948559.926 * [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)))
1553948559.927 * [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))))
1553948559.928 * [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)))))
1553948559.929 * [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)))))
1553948559.929 * [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)))))))
1553948559.930 * [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)))))))
1553948559.932 * [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))))))))))))
1553948559.933 * [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)))
1553948559.933 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1553948559.933 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948559.933 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553948559.933 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553948559.933 * [taylor]: Taking taylor expansion of -1 in n
1553948559.933 * [backup-simplify]: Simplify -1 into -1
1553948559.933 * [taylor]: Taking taylor expansion of k in n
1553948559.933 * [backup-simplify]: Simplify k into k
1553948559.933 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553948559.933 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553948559.933 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553948559.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553948559.933 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.933 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948559.933 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948559.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.933 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.933 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.933 * [taylor]: Taking taylor expansion of k in n
1553948559.933 * [backup-simplify]: Simplify k into k
1553948559.933 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.933 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.933 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.933 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.933 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.933 * [taylor]: Taking taylor expansion of -2 in n
1553948559.933 * [backup-simplify]: Simplify -2 into -2
1553948559.933 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.933 * [taylor]: Taking taylor expansion of PI in n
1553948559.933 * [backup-simplify]: Simplify PI into PI
1553948559.933 * [taylor]: Taking taylor expansion of n in n
1553948559.933 * [backup-simplify]: Simplify 0 into 0
1553948559.933 * [backup-simplify]: Simplify 1 into 1
1553948559.934 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.934 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.935 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.935 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.935 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.936 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.936 * [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)))
1553948559.937 * [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))))
1553948559.938 * [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)))))
1553948559.938 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553948559.938 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948559.938 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948559.938 * [taylor]: Taking taylor expansion of -1 in k
1553948559.938 * [backup-simplify]: Simplify -1 into -1
1553948559.938 * [taylor]: Taking taylor expansion of k in k
1553948559.938 * [backup-simplify]: Simplify 0 into 0
1553948559.938 * [backup-simplify]: Simplify 1 into 1
1553948559.938 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948559.939 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.939 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948559.939 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948559.939 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948559.939 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948559.939 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948559.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.939 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.940 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.940 * [taylor]: Taking taylor expansion of k in k
1553948559.940 * [backup-simplify]: Simplify 0 into 0
1553948559.940 * [backup-simplify]: Simplify 1 into 1
1553948559.940 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.940 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.940 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.940 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948559.940 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948559.940 * [taylor]: Taking taylor expansion of -2 in k
1553948559.940 * [backup-simplify]: Simplify -2 into -2
1553948559.940 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.940 * [taylor]: Taking taylor expansion of PI in k
1553948559.940 * [backup-simplify]: Simplify PI into PI
1553948559.940 * [taylor]: Taking taylor expansion of n in k
1553948559.940 * [backup-simplify]: Simplify n into n
1553948559.940 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.940 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948559.940 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948559.940 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.941 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.941 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948559.941 * [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)))
1553948559.941 * [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))))
1553948559.941 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553948559.941 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948559.941 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948559.941 * [taylor]: Taking taylor expansion of -1 in k
1553948559.941 * [backup-simplify]: Simplify -1 into -1
1553948559.941 * [taylor]: Taking taylor expansion of k in k
1553948559.941 * [backup-simplify]: Simplify 0 into 0
1553948559.941 * [backup-simplify]: Simplify 1 into 1
1553948559.941 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948559.942 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948559.942 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948559.942 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948559.942 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948559.942 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948559.942 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948559.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948559.943 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.943 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948559.943 * [taylor]: Taking taylor expansion of k in k
1553948559.943 * [backup-simplify]: Simplify 0 into 0
1553948559.943 * [backup-simplify]: Simplify 1 into 1
1553948559.943 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948559.943 * [taylor]: Taking taylor expansion of 1/2 in k
1553948559.943 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.943 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948559.943 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948559.943 * [taylor]: Taking taylor expansion of -2 in k
1553948559.943 * [backup-simplify]: Simplify -2 into -2
1553948559.943 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948559.943 * [taylor]: Taking taylor expansion of PI in k
1553948559.943 * [backup-simplify]: Simplify PI into PI
1553948559.943 * [taylor]: Taking taylor expansion of n in k
1553948559.943 * [backup-simplify]: Simplify n into n
1553948559.943 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948559.943 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948559.943 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948559.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948559.944 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948559.944 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948559.944 * [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)))
1553948559.944 * [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))))
1553948559.944 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948559.944 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.944 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.944 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948559.944 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.944 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.944 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.944 * [taylor]: Taking taylor expansion of -2 in n
1553948559.944 * [backup-simplify]: Simplify -2 into -2
1553948559.944 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.944 * [taylor]: Taking taylor expansion of PI in n
1553948559.944 * [backup-simplify]: Simplify PI into PI
1553948559.944 * [taylor]: Taking taylor expansion of n in n
1553948559.944 * [backup-simplify]: Simplify 0 into 0
1553948559.944 * [backup-simplify]: Simplify 1 into 1
1553948559.945 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.945 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.946 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.946 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.946 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.946 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.946 * [taylor]: Taking taylor expansion of k in n
1553948559.946 * [backup-simplify]: Simplify k into k
1553948559.946 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.946 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.946 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.947 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.947 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.947 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.947 * [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)))
1553948559.948 * [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))))
1553948559.949 * [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)))))
1553948559.950 * [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)))))
1553948559.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553948559.954 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948559.954 * [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))))))
1553948559.955 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1553948559.955 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948559.955 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.955 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.955 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948559.955 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948559.955 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.955 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.955 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.955 * [taylor]: Taking taylor expansion of -2 in n
1553948559.955 * [backup-simplify]: Simplify -2 into -2
1553948559.955 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.955 * [taylor]: Taking taylor expansion of PI in n
1553948559.955 * [backup-simplify]: Simplify PI into PI
1553948559.955 * [taylor]: Taking taylor expansion of n in n
1553948559.955 * [backup-simplify]: Simplify 0 into 0
1553948559.955 * [backup-simplify]: Simplify 1 into 1
1553948559.956 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.956 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.957 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.957 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.957 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.957 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.957 * [taylor]: Taking taylor expansion of k in n
1553948559.957 * [backup-simplify]: Simplify k into k
1553948559.957 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.957 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.957 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.959 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.959 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.959 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.960 * [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)))
1553948559.961 * [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))))
1553948559.962 * [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)))))
1553948559.963 * [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)))))
1553948559.964 * [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)))))))
1553948559.966 * [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)))))))
1553948559.967 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948559.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948559.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948559.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948559.970 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948559.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948559.973 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553948559.975 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948559.979 * [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
1553948559.979 * [backup-simplify]: Simplify 0 into 0
1553948559.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948559.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948559.985 * [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))))))
1553948559.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1553948559.985 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948559.985 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948559.985 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948559.985 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948559.985 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948559.985 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948559.985 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948559.985 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948559.985 * [taylor]: Taking taylor expansion of -2 in n
1553948559.985 * [backup-simplify]: Simplify -2 into -2
1553948559.985 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948559.986 * [taylor]: Taking taylor expansion of PI in n
1553948559.986 * [backup-simplify]: Simplify PI into PI
1553948559.986 * [taylor]: Taking taylor expansion of n in n
1553948559.986 * [backup-simplify]: Simplify 0 into 0
1553948559.986 * [backup-simplify]: Simplify 1 into 1
1553948559.986 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948559.987 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948559.988 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948559.988 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948559.988 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948559.988 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.988 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948559.988 * [taylor]: Taking taylor expansion of k in n
1553948559.988 * [backup-simplify]: Simplify k into k
1553948559.988 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948559.988 * [taylor]: Taking taylor expansion of 1/2 in n
1553948559.988 * [backup-simplify]: Simplify 1/2 into 1/2
1553948559.990 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948559.990 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948559.990 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948559.991 * [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)))
1553948559.992 * [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))))
1553948559.993 * [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)))))
1553948559.994 * [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)))))
1553948559.995 * [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)))))))
1553948559.997 * [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)))))))
1553948560.001 * [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))))))))))))
1553948560.001 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1553948560.001 * [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))))
1553948560.001 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1553948560.001 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948560.001 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948560.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.001 * [taylor]: Taking taylor expansion of k in n
1553948560.001 * [backup-simplify]: Simplify k into k
1553948560.001 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.001 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948560.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948560.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948560.002 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948560.002 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948560.002 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948560.002 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948560.002 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.002 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.002 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948560.002 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.002 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.002 * [taylor]: Taking taylor expansion of k in n
1553948560.002 * [backup-simplify]: Simplify k into k
1553948560.002 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948560.002 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948560.002 * [taylor]: Taking taylor expansion of 2 in n
1553948560.002 * [backup-simplify]: Simplify 2 into 2
1553948560.002 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.002 * [taylor]: Taking taylor expansion of n in n
1553948560.002 * [backup-simplify]: Simplify 0 into 0
1553948560.002 * [backup-simplify]: Simplify 1 into 1
1553948560.002 * [taylor]: Taking taylor expansion of PI in n
1553948560.002 * [backup-simplify]: Simplify PI into PI
1553948560.003 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.003 * [backup-simplify]: Simplify (* 2 0) into 0
1553948560.005 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.006 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948560.007 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.007 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948560.007 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948560.008 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948560.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.010 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948560.011 * [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)))))
1553948560.011 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948560.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948560.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.011 * [taylor]: Taking taylor expansion of k in k
1553948560.011 * [backup-simplify]: Simplify 0 into 0
1553948560.011 * [backup-simplify]: Simplify 1 into 1
1553948560.012 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.012 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948560.014 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948560.014 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948560.014 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948560.014 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948560.014 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.014 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.014 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948560.014 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.014 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.014 * [taylor]: Taking taylor expansion of k in k
1553948560.014 * [backup-simplify]: Simplify 0 into 0
1553948560.014 * [backup-simplify]: Simplify 1 into 1
1553948560.014 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948560.014 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948560.014 * [taylor]: Taking taylor expansion of 2 in k
1553948560.014 * [backup-simplify]: Simplify 2 into 2
1553948560.014 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948560.014 * [taylor]: Taking taylor expansion of n in k
1553948560.014 * [backup-simplify]: Simplify n into n
1553948560.014 * [taylor]: Taking taylor expansion of PI in k
1553948560.014 * [backup-simplify]: Simplify PI into PI
1553948560.014 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948560.014 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948560.015 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948560.015 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948560.015 * [backup-simplify]: Simplify (- 0) into 0
1553948560.016 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948560.016 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948560.016 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948560.016 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948560.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948560.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.016 * [taylor]: Taking taylor expansion of k in k
1553948560.016 * [backup-simplify]: Simplify 0 into 0
1553948560.016 * [backup-simplify]: Simplify 1 into 1
1553948560.017 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.017 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.018 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948560.018 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948560.018 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948560.019 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948560.019 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948560.019 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.019 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.019 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948560.019 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.019 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.019 * [taylor]: Taking taylor expansion of k in k
1553948560.019 * [backup-simplify]: Simplify 0 into 0
1553948560.019 * [backup-simplify]: Simplify 1 into 1
1553948560.019 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948560.019 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948560.019 * [taylor]: Taking taylor expansion of 2 in k
1553948560.019 * [backup-simplify]: Simplify 2 into 2
1553948560.019 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948560.019 * [taylor]: Taking taylor expansion of n in k
1553948560.019 * [backup-simplify]: Simplify n into n
1553948560.019 * [taylor]: Taking taylor expansion of PI in k
1553948560.019 * [backup-simplify]: Simplify PI into PI
1553948560.019 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948560.019 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948560.019 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948560.020 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948560.020 * [backup-simplify]: Simplify (- 0) into 0
1553948560.021 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948560.021 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948560.021 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948560.021 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1553948560.021 * [taylor]: Taking taylor expansion of 0 in n
1553948560.021 * [backup-simplify]: Simplify 0 into 0
1553948560.021 * [backup-simplify]: Simplify 0 into 0
1553948560.022 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553948560.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553948560.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553948560.024 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948560.024 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948560.024 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948560.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553948560.025 * [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)))))
1553948560.026 * [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)))))
1553948560.026 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948560.026 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948560.026 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.026 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.026 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948560.026 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.026 * [taylor]: Taking taylor expansion of 2 in n
1553948560.026 * [backup-simplify]: Simplify 2 into 2
1553948560.026 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.027 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.027 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.027 * [taylor]: Taking taylor expansion of n in n
1553948560.027 * [backup-simplify]: Simplify 0 into 0
1553948560.027 * [backup-simplify]: Simplify 1 into 1
1553948560.027 * [taylor]: Taking taylor expansion of PI in n
1553948560.027 * [backup-simplify]: Simplify PI into PI
1553948560.028 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.030 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.031 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.031 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948560.032 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.032 * [backup-simplify]: Simplify (- 0) into 0
1553948560.032 * [backup-simplify]: Simplify 0 into 0
1553948560.032 * [backup-simplify]: Simplify 0 into 0
1553948560.033 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553948560.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553948560.036 * [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
1553948560.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948560.037 * [backup-simplify]: Simplify (- 0) into 0
1553948560.037 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553948560.040 * [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)))
1553948560.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948560.043 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948560.044 * [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)))))))
1553948560.044 * [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
1553948560.044 * [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
1553948560.044 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948560.044 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.044 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.045 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948560.045 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948560.045 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.045 * [taylor]: Taking taylor expansion of 2 in n
1553948560.045 * [backup-simplify]: Simplify 2 into 2
1553948560.050 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.052 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948560.052 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948560.052 * [taylor]: Taking taylor expansion of 2 in n
1553948560.052 * [backup-simplify]: Simplify 2 into 2
1553948560.052 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.052 * [taylor]: Taking taylor expansion of n in n
1553948560.052 * [backup-simplify]: Simplify 0 into 0
1553948560.052 * [backup-simplify]: Simplify 1 into 1
1553948560.052 * [taylor]: Taking taylor expansion of PI in n
1553948560.052 * [backup-simplify]: Simplify PI into PI
1553948560.052 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.053 * [backup-simplify]: Simplify (* 2 0) into 0
1553948560.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.056 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948560.057 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.057 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.057 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.057 * [taylor]: Taking taylor expansion of n in n
1553948560.057 * [backup-simplify]: Simplify 0 into 0
1553948560.057 * [backup-simplify]: Simplify 1 into 1
1553948560.057 * [taylor]: Taking taylor expansion of PI in n
1553948560.057 * [backup-simplify]: Simplify PI into PI
1553948560.058 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.060 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.061 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.061 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948560.061 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948560.061 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.061 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.061 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948560.061 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.061 * [taylor]: Taking taylor expansion of 2 in n
1553948560.061 * [backup-simplify]: Simplify 2 into 2
1553948560.062 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.062 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.062 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.062 * [taylor]: Taking taylor expansion of n in n
1553948560.062 * [backup-simplify]: Simplify 0 into 0
1553948560.062 * [backup-simplify]: Simplify 1 into 1
1553948560.063 * [taylor]: Taking taylor expansion of PI in n
1553948560.063 * [backup-simplify]: Simplify PI into PI
1553948560.063 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.065 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.066 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.068 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.070 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948560.071 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948560.071 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.072 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948560.072 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.073 * [backup-simplify]: Simplify (- 0) into 0
1553948560.073 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.073 * [backup-simplify]: Simplify (- 0) into 0
1553948560.074 * [backup-simplify]: Simplify 0 into 0
1553948560.077 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.080 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.081 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.083 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.083 * [backup-simplify]: Simplify 0 into 0
1553948560.084 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948560.084 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553948560.086 * [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
1553948560.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553948560.087 * [backup-simplify]: Simplify (- 0) into 0
1553948560.087 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553948560.089 * [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)))
1553948560.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948560.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948560.093 * [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)))))))))
1553948560.093 * [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
1553948560.093 * [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
1553948560.093 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948560.093 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.093 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.093 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948560.093 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948560.093 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.093 * [taylor]: Taking taylor expansion of 2 in n
1553948560.093 * [backup-simplify]: Simplify 2 into 2
1553948560.093 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.094 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948560.094 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948560.094 * [taylor]: Taking taylor expansion of 2 in n
1553948560.094 * [backup-simplify]: Simplify 2 into 2
1553948560.094 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.094 * [taylor]: Taking taylor expansion of n in n
1553948560.094 * [backup-simplify]: Simplify 0 into 0
1553948560.094 * [backup-simplify]: Simplify 1 into 1
1553948560.094 * [taylor]: Taking taylor expansion of PI in n
1553948560.094 * [backup-simplify]: Simplify PI into PI
1553948560.094 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.094 * [backup-simplify]: Simplify (* 2 0) into 0
1553948560.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.096 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948560.097 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.097 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.097 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.097 * [taylor]: Taking taylor expansion of n in n
1553948560.097 * [backup-simplify]: Simplify 0 into 0
1553948560.097 * [backup-simplify]: Simplify 1 into 1
1553948560.097 * [taylor]: Taking taylor expansion of PI in n
1553948560.097 * [backup-simplify]: Simplify PI into PI
1553948560.097 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.098 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.099 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.099 * [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
1553948560.099 * [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
1553948560.099 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553948560.099 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.099 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.099 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553948560.099 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553948560.099 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.099 * [taylor]: Taking taylor expansion of 2 in n
1553948560.099 * [backup-simplify]: Simplify 2 into 2
1553948560.100 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.100 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553948560.100 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948560.100 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948560.100 * [taylor]: Taking taylor expansion of 2 in n
1553948560.100 * [backup-simplify]: Simplify 2 into 2
1553948560.100 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.100 * [taylor]: Taking taylor expansion of n in n
1553948560.100 * [backup-simplify]: Simplify 0 into 0
1553948560.100 * [backup-simplify]: Simplify 1 into 1
1553948560.100 * [taylor]: Taking taylor expansion of PI in n
1553948560.100 * [backup-simplify]: Simplify PI into PI
1553948560.100 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.101 * [backup-simplify]: Simplify (* 2 0) into 0
1553948560.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.102 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948560.103 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.104 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.104 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.104 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.104 * [taylor]: Taking taylor expansion of n in n
1553948560.104 * [backup-simplify]: Simplify 0 into 0
1553948560.104 * [backup-simplify]: Simplify 1 into 1
1553948560.104 * [taylor]: Taking taylor expansion of PI in n
1553948560.104 * [backup-simplify]: Simplify PI into PI
1553948560.104 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.105 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.105 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.106 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948560.106 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948560.106 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.106 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.106 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948560.106 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948560.106 * [taylor]: Taking taylor expansion of 2 in n
1553948560.106 * [backup-simplify]: Simplify 2 into 2
1553948560.107 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948560.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948560.107 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948560.107 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948560.107 * [taylor]: Taking taylor expansion of n in n
1553948560.107 * [backup-simplify]: Simplify 0 into 0
1553948560.107 * [backup-simplify]: Simplify 1 into 1
1553948560.107 * [taylor]: Taking taylor expansion of PI in n
1553948560.107 * [backup-simplify]: Simplify PI into PI
1553948560.107 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948560.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948560.109 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.110 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948560.112 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.113 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948560.115 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948560.115 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.117 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.118 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.120 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553948560.121 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553948560.123 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553948560.123 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.124 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948560.124 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948560.125 * [backup-simplify]: Simplify (- 0) into 0
1553948560.125 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.125 * [backup-simplify]: Simplify (- 0) into 0
1553948560.126 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.126 * [backup-simplify]: Simplify (- 0) into 0
1553948560.126 * [backup-simplify]: Simplify 0 into 0
1553948560.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948560.128 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948560.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948560.132 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948560.133 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948560.135 * [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))))))))
1553948560.142 * [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))))))))
1553948560.145 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.151 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.154 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948560.163 * [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))))))))))
1553948560.176 * [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)))))))
1553948560.183 * [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)))))))
1553948560.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948560.189 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553948560.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553948560.195 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948560.204 * [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))))
1553948560.209 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948560.212 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948560.225 * [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)))))))))))))
1553948560.226 * [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)))))
1553948560.226 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1553948560.226 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948560.226 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948560.226 * [taylor]: Taking taylor expansion of k in n
1553948560.226 * [backup-simplify]: Simplify k into k
1553948560.226 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948560.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948560.226 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948560.226 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948560.226 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948560.226 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948560.226 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.226 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.226 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.226 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.226 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.226 * [taylor]: Taking taylor expansion of k in n
1553948560.227 * [backup-simplify]: Simplify k into k
1553948560.227 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.227 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948560.227 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948560.227 * [taylor]: Taking taylor expansion of 2 in n
1553948560.227 * [backup-simplify]: Simplify 2 into 2
1553948560.227 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.227 * [taylor]: Taking taylor expansion of PI in n
1553948560.227 * [backup-simplify]: Simplify PI into PI
1553948560.227 * [taylor]: Taking taylor expansion of n in n
1553948560.227 * [backup-simplify]: Simplify 0 into 0
1553948560.227 * [backup-simplify]: Simplify 1 into 1
1553948560.227 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.228 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948560.229 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.229 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.229 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948560.229 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948560.230 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948560.231 * [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)))
1553948560.232 * [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))))
1553948560.232 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948560.232 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948560.232 * [taylor]: Taking taylor expansion of k in k
1553948560.232 * [backup-simplify]: Simplify 0 into 0
1553948560.232 * [backup-simplify]: Simplify 1 into 1
1553948560.232 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948560.233 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948560.233 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948560.233 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948560.233 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948560.233 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.233 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948560.233 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.233 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.233 * [taylor]: Taking taylor expansion of k in k
1553948560.233 * [backup-simplify]: Simplify 0 into 0
1553948560.233 * [backup-simplify]: Simplify 1 into 1
1553948560.233 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.233 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948560.233 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948560.233 * [taylor]: Taking taylor expansion of 2 in k
1553948560.233 * [backup-simplify]: Simplify 2 into 2
1553948560.233 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948560.233 * [taylor]: Taking taylor expansion of PI in k
1553948560.233 * [backup-simplify]: Simplify PI into PI
1553948560.233 * [taylor]: Taking taylor expansion of n in k
1553948560.233 * [backup-simplify]: Simplify n into n
1553948560.233 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948560.233 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948560.234 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948560.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948560.234 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948560.234 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948560.234 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948560.235 * [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))))
1553948560.235 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948560.235 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948560.235 * [taylor]: Taking taylor expansion of k in k
1553948560.235 * [backup-simplify]: Simplify 0 into 0
1553948560.235 * [backup-simplify]: Simplify 1 into 1
1553948560.235 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948560.236 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948560.236 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948560.236 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948560.236 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948560.236 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.236 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948560.236 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.236 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.236 * [taylor]: Taking taylor expansion of k in k
1553948560.236 * [backup-simplify]: Simplify 0 into 0
1553948560.236 * [backup-simplify]: Simplify 1 into 1
1553948560.236 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.236 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948560.236 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948560.236 * [taylor]: Taking taylor expansion of 2 in k
1553948560.236 * [backup-simplify]: Simplify 2 into 2
1553948560.236 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948560.236 * [taylor]: Taking taylor expansion of PI in k
1553948560.236 * [backup-simplify]: Simplify PI into PI
1553948560.236 * [taylor]: Taking taylor expansion of n in k
1553948560.236 * [backup-simplify]: Simplify n into n
1553948560.236 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948560.236 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948560.236 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948560.237 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948560.237 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948560.237 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948560.237 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948560.237 * [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))))
1553948560.238 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1553948560.238 * [taylor]: Taking taylor expansion of 0 in n
1553948560.238 * [backup-simplify]: Simplify 0 into 0
1553948560.238 * [backup-simplify]: Simplify 0 into 0
1553948560.238 * [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))))))
1553948560.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948560.238 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948560.238 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.238 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.238 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948560.238 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948560.238 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948560.238 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948560.238 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.238 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.238 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.238 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.238 * [taylor]: Taking taylor expansion of k in n
1553948560.238 * [backup-simplify]: Simplify k into k
1553948560.238 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.238 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948560.238 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948560.238 * [taylor]: Taking taylor expansion of 2 in n
1553948560.238 * [backup-simplify]: Simplify 2 into 2
1553948560.238 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.238 * [taylor]: Taking taylor expansion of PI in n
1553948560.238 * [backup-simplify]: Simplify PI into PI
1553948560.238 * [taylor]: Taking taylor expansion of n in n
1553948560.238 * [backup-simplify]: Simplify 0 into 0
1553948560.238 * [backup-simplify]: Simplify 1 into 1
1553948560.239 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.239 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948560.240 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.240 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.240 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948560.240 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948560.241 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948560.242 * [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)))
1553948560.242 * [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))))
1553948560.243 * [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)))))
1553948560.244 * [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))))))
1553948560.244 * [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))))))
1553948560.244 * [backup-simplify]: Simplify 0 into 0
1553948560.246 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948560.247 * [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))))))
1553948560.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948560.247 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948560.247 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.247 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.247 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948560.247 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948560.247 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948560.247 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948560.247 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.247 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.247 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.247 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.247 * [taylor]: Taking taylor expansion of k in n
1553948560.247 * [backup-simplify]: Simplify k into k
1553948560.247 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.247 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948560.247 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948560.247 * [taylor]: Taking taylor expansion of 2 in n
1553948560.247 * [backup-simplify]: Simplify 2 into 2
1553948560.247 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.247 * [taylor]: Taking taylor expansion of PI in n
1553948560.247 * [backup-simplify]: Simplify PI into PI
1553948560.247 * [taylor]: Taking taylor expansion of n in n
1553948560.247 * [backup-simplify]: Simplify 0 into 0
1553948560.247 * [backup-simplify]: Simplify 1 into 1
1553948560.248 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.248 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948560.248 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.249 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.249 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948560.249 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948560.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948560.250 * [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)))
1553948560.251 * [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))))
1553948560.252 * [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)))))
1553948560.252 * [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))))))
1553948560.253 * [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))))))
1553948560.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948560.254 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948560.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948560.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948560.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948560.256 * [backup-simplify]: Simplify (- 0) into 0
1553948560.256 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948560.258 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948560.260 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948560.262 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553948560.262 * [backup-simplify]: Simplify (- 0) into 0
1553948560.262 * [backup-simplify]: Simplify 0 into 0
1553948560.262 * [backup-simplify]: Simplify 0 into 0
1553948560.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948560.268 * [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))))))
1553948560.268 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948560.268 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948560.268 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.268 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948560.268 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948560.268 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948560.268 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948560.268 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.268 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.268 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.268 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.268 * [taylor]: Taking taylor expansion of k in n
1553948560.268 * [backup-simplify]: Simplify k into k
1553948560.268 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.268 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948560.268 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948560.268 * [taylor]: Taking taylor expansion of 2 in n
1553948560.269 * [backup-simplify]: Simplify 2 into 2
1553948560.269 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.269 * [taylor]: Taking taylor expansion of PI in n
1553948560.269 * [backup-simplify]: Simplify PI into PI
1553948560.269 * [taylor]: Taking taylor expansion of n in n
1553948560.269 * [backup-simplify]: Simplify 0 into 0
1553948560.269 * [backup-simplify]: Simplify 1 into 1
1553948560.269 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.270 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948560.271 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948560.271 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.271 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948560.271 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948560.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948560.273 * [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)))
1553948560.274 * [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))))
1553948560.276 * [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)))))
1553948560.277 * [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))))))
1553948560.278 * [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))))))
1553948560.282 * [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))))))))
1553948560.282 * [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)))
1553948560.282 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1553948560.282 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553948560.282 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948560.283 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948560.283 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948560.283 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948560.283 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.283 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.283 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.283 * [taylor]: Taking taylor expansion of k in n
1553948560.283 * [backup-simplify]: Simplify k into k
1553948560.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.283 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.283 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.283 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948560.283 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948560.283 * [taylor]: Taking taylor expansion of -2 in n
1553948560.283 * [backup-simplify]: Simplify -2 into -2
1553948560.283 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.283 * [taylor]: Taking taylor expansion of PI in n
1553948560.283 * [backup-simplify]: Simplify PI into PI
1553948560.283 * [taylor]: Taking taylor expansion of n in n
1553948560.283 * [backup-simplify]: Simplify 0 into 0
1553948560.283 * [backup-simplify]: Simplify 1 into 1
1553948560.284 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.284 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948560.285 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948560.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.285 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948560.287 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948560.288 * [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)))
1553948560.289 * [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))))
1553948560.289 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553948560.289 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553948560.289 * [taylor]: Taking taylor expansion of -1 in n
1553948560.289 * [backup-simplify]: Simplify -1 into -1
1553948560.289 * [taylor]: Taking taylor expansion of k in n
1553948560.289 * [backup-simplify]: Simplify k into k
1553948560.289 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553948560.289 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553948560.289 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553948560.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553948560.291 * [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)))
1553948560.291 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553948560.291 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948560.291 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948560.291 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948560.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948560.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948560.291 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.291 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.291 * [taylor]: Taking taylor expansion of k in k
1553948560.291 * [backup-simplify]: Simplify 0 into 0
1553948560.291 * [backup-simplify]: Simplify 1 into 1
1553948560.291 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.292 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.292 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.292 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948560.292 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948560.292 * [taylor]: Taking taylor expansion of -2 in k
1553948560.292 * [backup-simplify]: Simplify -2 into -2
1553948560.292 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948560.292 * [taylor]: Taking taylor expansion of PI in k
1553948560.292 * [backup-simplify]: Simplify PI into PI
1553948560.292 * [taylor]: Taking taylor expansion of n in k
1553948560.292 * [backup-simplify]: Simplify n into n
1553948560.292 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948560.292 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948560.292 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948560.292 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948560.293 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948560.293 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948560.293 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1553948560.293 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948560.293 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948560.293 * [taylor]: Taking taylor expansion of -1 in k
1553948560.293 * [backup-simplify]: Simplify -1 into -1
1553948560.293 * [taylor]: Taking taylor expansion of k in k
1553948560.293 * [backup-simplify]: Simplify 0 into 0
1553948560.293 * [backup-simplify]: Simplify 1 into 1
1553948560.294 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948560.294 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.296 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948560.296 * [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))))
1553948560.296 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553948560.296 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948560.296 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948560.296 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948560.296 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948560.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948560.296 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.297 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948560.297 * [taylor]: Taking taylor expansion of k in k
1553948560.297 * [backup-simplify]: Simplify 0 into 0
1553948560.297 * [backup-simplify]: Simplify 1 into 1
1553948560.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948560.297 * [taylor]: Taking taylor expansion of 1/2 in k
1553948560.297 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.297 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948560.297 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948560.297 * [taylor]: Taking taylor expansion of -2 in k
1553948560.297 * [backup-simplify]: Simplify -2 into -2
1553948560.297 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948560.297 * [taylor]: Taking taylor expansion of PI in k
1553948560.297 * [backup-simplify]: Simplify PI into PI
1553948560.297 * [taylor]: Taking taylor expansion of n in k
1553948560.297 * [backup-simplify]: Simplify n into n
1553948560.297 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948560.297 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948560.298 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948560.298 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948560.303 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948560.304 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948560.304 * [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)))
1553948560.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948560.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948560.304 * [taylor]: Taking taylor expansion of -1 in k
1553948560.304 * [backup-simplify]: Simplify -1 into -1
1553948560.304 * [taylor]: Taking taylor expansion of k in k
1553948560.304 * [backup-simplify]: Simplify 0 into 0
1553948560.304 * [backup-simplify]: Simplify 1 into 1
1553948560.305 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948560.305 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948560.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948560.307 * [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))))
1553948560.307 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948560.307 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.307 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.307 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948560.307 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948560.307 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948560.307 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948560.307 * [taylor]: Taking taylor expansion of -2 in n
1553948560.307 * [backup-simplify]: Simplify -2 into -2
1553948560.307 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.307 * [taylor]: Taking taylor expansion of PI in n
1553948560.307 * [backup-simplify]: Simplify PI into PI
1553948560.307 * [taylor]: Taking taylor expansion of n in n
1553948560.307 * [backup-simplify]: Simplify 0 into 0
1553948560.307 * [backup-simplify]: Simplify 1 into 1
1553948560.308 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.308 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948560.309 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948560.309 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948560.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.310 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.310 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.310 * [taylor]: Taking taylor expansion of k in n
1553948560.310 * [backup-simplify]: Simplify k into k
1553948560.310 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.310 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.310 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.311 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948560.311 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.311 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948560.312 * [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)))
1553948560.314 * [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))))
1553948560.315 * [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)))))
1553948560.316 * [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)))))
1553948560.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553948560.320 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948560.321 * [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)))))
1553948560.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948560.321 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948560.321 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.321 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.321 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948560.321 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948560.321 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948560.321 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948560.321 * [taylor]: Taking taylor expansion of -2 in n
1553948560.321 * [backup-simplify]: Simplify -2 into -2
1553948560.321 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.321 * [taylor]: Taking taylor expansion of PI in n
1553948560.321 * [backup-simplify]: Simplify PI into PI
1553948560.322 * [taylor]: Taking taylor expansion of n in n
1553948560.322 * [backup-simplify]: Simplify 0 into 0
1553948560.322 * [backup-simplify]: Simplify 1 into 1
1553948560.322 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.322 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948560.323 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948560.323 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948560.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.324 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.324 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.324 * [taylor]: Taking taylor expansion of k in n
1553948560.324 * [backup-simplify]: Simplify k into k
1553948560.324 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.324 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.324 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948560.325 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.325 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948560.326 * [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)))
1553948560.327 * [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))))
1553948560.329 * [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)))))
1553948560.330 * [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))))))
1553948560.331 * [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))))))
1553948560.332 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948560.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948560.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948560.333 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948560.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948560.334 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948560.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948560.336 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553948560.337 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948560.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553948560.338 * [backup-simplify]: Simplify 0 into 0
1553948560.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948560.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948560.342 * [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)))))
1553948560.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948560.342 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948560.342 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948560.342 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948560.342 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948560.342 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948560.342 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948560.342 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948560.342 * [taylor]: Taking taylor expansion of -2 in n
1553948560.342 * [backup-simplify]: Simplify -2 into -2
1553948560.342 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948560.342 * [taylor]: Taking taylor expansion of PI in n
1553948560.342 * [backup-simplify]: Simplify PI into PI
1553948560.342 * [taylor]: Taking taylor expansion of n in n
1553948560.343 * [backup-simplify]: Simplify 0 into 0
1553948560.343 * [backup-simplify]: Simplify 1 into 1
1553948560.343 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948560.343 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948560.344 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948560.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948560.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948560.344 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.344 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948560.344 * [taylor]: Taking taylor expansion of k in n
1553948560.344 * [backup-simplify]: Simplify k into k
1553948560.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948560.344 * [taylor]: Taking taylor expansion of 1/2 in n
1553948560.344 * [backup-simplify]: Simplify 1/2 into 1/2
1553948560.345 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948560.345 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948560.345 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948560.346 * [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)))
1553948560.346 * [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))))
1553948560.347 * [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)))))
1553948560.348 * [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))))))
1553948560.349 * [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))))))
1553948560.351 * [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)))))))))))
1553948560.351 * * * [progress]: simplifying candidates
1553948560.351 * * * * [progress]: [ 1 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.351 * * * * [progress]: [ 2 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.351 * * * * [progress]: [ 3 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948560.351 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553948560.351 * * [simplify]: iters left: 6 (11 enodes)
1553948560.354 * * [simplify]: iters left: 5 (43 enodes)
1553948560.361 * * [simplify]: iters left: 4 (79 enodes)
1553948560.381 * * [simplify]: iters left: 3 (178 enodes)
1553948560.455 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.455 * * [simplify]: Extracting #1: cost 49 inf + 0
1553948560.456 * * [simplify]: Extracting #2: cost 115 inf + 1
1553948560.456 * * [simplify]: Extracting #3: cost 122 inf + 547
1553948560.457 * * [simplify]: Extracting #4: cost 98 inf + 3382
1553948560.460 * * [simplify]: Extracting #5: cost 29 inf + 17882
1553948560.471 * * [simplify]: Extracting #6: cost 1 inf + 26098
1553948560.480 * * [simplify]: Extracting #7: cost 0 inf + 26523
1553948560.486 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553948560.487 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553948560.487 * * * * [progress]: [ 4 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948560.487 * * * * [progress]: [ 5 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553948560.487 * [simplify]: Simplifying (* (* n 2) PI)
1553948560.487 * * [simplify]: iters left: 4 (5 enodes)
1553948560.489 * * [simplify]: iters left: 3 (19 enodes)
1553948560.491 * * [simplify]: iters left: 2 (27 enodes)
1553948560.495 * * [simplify]: iters left: 1 (32 enodes)
1553948560.499 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.499 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948560.499 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948560.499 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948560.499 * [simplify]: Simplified to (* (* n 2) PI)
1553948560.499 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553948560.500 * * * * [progress]: [ 6 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553948560.500 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948560.500 * * [simplify]: iters left: 5 (8 enodes)
1553948560.504 * * [simplify]: iters left: 4 (28 enodes)
1553948560.508 * * [simplify]: iters left: 3 (36 enodes)
1553948560.515 * * [simplify]: iters left: 2 (41 enodes)
1553948560.520 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.520 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948560.520 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948560.520 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948560.520 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948560.521 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948560.521 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948560.521 * [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))))))
1553948560.521 * * * * [progress]: [ 7 / 132 ] 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)))))))>
1553948560.521 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553948560.521 * * [simplify]: iters left: 5 (6 enodes)
1553948560.523 * * [simplify]: iters left: 4 (20 enodes)
1553948560.526 * * [simplify]: iters left: 3 (25 enodes)
1553948560.530 * * [simplify]: iters left: 2 (27 enodes)
1553948560.534 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.535 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948560.535 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948560.535 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948560.535 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948560.535 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948560.535 * * [simplify]: Extracting #6: cost 1 inf + 662
1553948560.535 * * [simplify]: Extracting #7: cost 0 inf + 825
1553948560.535 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553948560.535 * [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)))))))
1553948560.535 * * * * [progress]: [ 8 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1553948560.536 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553948560.536 * * [simplify]: iters left: 5 (6 enodes)
1553948560.537 * * [simplify]: iters left: 4 (20 enodes)
1553948560.541 * * [simplify]: iters left: 3 (25 enodes)
1553948560.548 * * [simplify]: iters left: 2 (27 enodes)
1553948560.556 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.556 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948560.556 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948560.557 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948560.557 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948560.557 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948560.557 * * [simplify]: Extracting #6: cost 1 inf + 622
1553948560.557 * * [simplify]: Extracting #7: cost 0 inf + 745
1553948560.558 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553948560.558 * [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)))))))
1553948560.558 * * * * [progress]: [ 9 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948560.558 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553948560.558 * * [simplify]: iters left: 4 (5 enodes)
1553948560.562 * * [simplify]: iters left: 3 (17 enodes)
1553948560.567 * * [simplify]: iters left: 2 (22 enodes)
1553948560.574 * * [simplify]: iters left: 1 (24 enodes)
1553948560.581 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.581 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948560.581 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948560.581 * * [simplify]: Extracting #3: cost 1 inf + 458
1553948560.582 * * [simplify]: Extracting #4: cost 0 inf + 499
1553948560.582 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553948560.582 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1553948560.582 * * * * [progress]: [ 10 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948560.582 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948560.582 * * [simplify]: iters left: 5 (9 enodes)
1553948560.587 * * [simplify]: iters left: 4 (33 enodes)
1553948560.597 * * [simplify]: iters left: 3 (43 enodes)
1553948560.608 * * [simplify]: iters left: 2 (48 enodes)
1553948560.621 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.621 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948560.621 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948560.621 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948560.621 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948560.622 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948560.622 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948560.623 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948560.623 * [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)))))))
1553948560.623 * * * * [progress]: [ 11 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948560.623 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948560.623 * * [simplify]: iters left: 5 (9 enodes)
1553948560.630 * * [simplify]: iters left: 4 (33 enodes)
1553948560.639 * * [simplify]: iters left: 3 (43 enodes)
1553948560.651 * * [simplify]: iters left: 2 (48 enodes)
1553948560.663 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.663 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948560.663 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948560.663 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948560.663 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948560.664 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948560.664 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948560.665 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948560.665 * [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)))))))
1553948560.665 * * * * [progress]: [ 12 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553948560.665 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553948560.665 * * [simplify]: iters left: 5 (8 enodes)
1553948560.670 * * [simplify]: iters left: 4 (27 enodes)
1553948560.676 * * [simplify]: iters left: 3 (32 enodes)
1553948560.681 * * [simplify]: iters left: 2 (34 enodes)
1553948560.685 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.685 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948560.685 * * [simplify]: Extracting #2: cost 11 inf + 0
1553948560.685 * * [simplify]: Extracting #3: cost 12 inf + 3
1553948560.685 * * [simplify]: Extracting #4: cost 8 inf + 171
1553948560.686 * * [simplify]: Extracting #5: cost 1 inf + 918
1553948560.686 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553948560.686 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948560.686 * [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)))))))
1553948560.686 * * * * [progress]: [ 13 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553948560.686 * * * * [progress]: [ 14 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.686 * * * * [progress]: [ 15 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.686 * * * * [progress]: [ 16 / 132 ] 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))))))))>
1553948560.686 * * * * [progress]: [ 17 / 132 ] 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))))))))>
1553948560.686 * * * * [progress]: [ 18 / 132 ] 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))))))))>
1553948560.686 * * * * [progress]: [ 19 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948560.686 * * * * [progress]: [ 20 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.686 * * * * [progress]: [ 21 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.686 * * * * [progress]: [ 22 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 23 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 24 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 25 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 26 / 132 ] 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))))))>
1553948560.687 * * * * [progress]: [ 27 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 28 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 29 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 30 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 31 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 32 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553948560.687 * * * * [progress]: [ 33 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log1p (expm1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.687 * * * * [progress]: [ 34 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (expm1 (log1p (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948560.687 * * * * [progress]: [ 35 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553948560.687 * * * * [progress]: [ 36 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948560.687 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1553948560.687 * * [simplify]: iters left: 6 (14 enodes)
1553948560.691 * * [simplify]: iters left: 5 (54 enodes)
1553948560.700 * * [simplify]: iters left: 4 (99 enodes)
1553948560.734 * * [simplify]: iters left: 3 (259 enodes)
1553948560.853 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948560.853 * * [simplify]: Extracting #1: cost 26 inf + 0
1553948560.853 * * [simplify]: Extracting #2: cost 163 inf + 0
1553948560.854 * * [simplify]: Extracting #3: cost 211 inf + 74
1553948560.856 * * [simplify]: Extracting #4: cost 158 inf + 7862
1553948560.864 * * [simplify]: Extracting #5: cost 36 inf + 34909
1553948560.884 * * [simplify]: Extracting #6: cost 1 inf + 45836
1553948560.904 * * [simplify]: Extracting #7: cost 0 inf + 46030
1553948560.924 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1553948560.924 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948560.924 * * * * [progress]: [ 37 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948560.924 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1553948560.924 * * [simplify]: iters left: 6 (14 enodes)
1553948560.931 * * [simplify]: iters left: 5 (54 enodes)
1553948560.948 * * [simplify]: iters left: 4 (99 enodes)
1553948560.987 * * [simplify]: iters left: 3 (259 enodes)
1553948561.057 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.057 * * [simplify]: Extracting #1: cost 26 inf + 0
1553948561.058 * * [simplify]: Extracting #2: cost 163 inf + 0
1553948561.058 * * [simplify]: Extracting #3: cost 211 inf + 74
1553948561.060 * * [simplify]: Extracting #4: cost 158 inf + 7862
1553948561.067 * * [simplify]: Extracting #5: cost 36 inf + 34909
1553948561.076 * * [simplify]: Extracting #6: cost 1 inf + 45836
1553948561.097 * * [simplify]: Extracting #7: cost 0 inf + 46030
1553948561.117 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1553948561.117 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948561.117 * * * * [progress]: [ 38 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948561.117 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948561.118 * * [simplify]: iters left: 6 (14 enodes)
1553948561.124 * * [simplify]: iters left: 5 (52 enodes)
1553948561.140 * * [simplify]: iters left: 4 (82 enodes)
1553948561.169 * * [simplify]: iters left: 3 (165 enodes)
1553948561.223 * * [simplify]: iters left: 2 (417 enodes)
1553948561.464 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.465 * * [simplify]: Extracting #1: cost 54 inf + 0
1553948561.465 * * [simplify]: Extracting #2: cost 227 inf + 0
1553948561.467 * * [simplify]: Extracting #3: cost 261 inf + 965
1553948561.473 * * [simplify]: Extracting #4: cost 155 inf + 21846
1553948561.486 * * [simplify]: Extracting #5: cost 31 inf + 56378
1553948561.506 * * [simplify]: Extracting #6: cost 0 inf + 66300
1553948561.537 * [simplify]: Simplified to (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))
1553948561.537 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* n 2) PI)) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948561.537 * * * * [progress]: [ 39 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948561.537 * * * * [progress]: [ 40 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948561.537 * * * * [progress]: [ 41 / 132 ] 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))))))))>
1553948561.538 * [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)))))
1553948561.538 * * [simplify]: iters left: 6 (16 enodes)
1553948561.546 * * [simplify]: iters left: 5 (61 enodes)
1553948561.566 * * [simplify]: iters left: 4 (115 enodes)
1553948561.600 * * [simplify]: iters left: 3 (192 enodes)
1553948561.634 * * [simplify]: iters left: 2 (231 enodes)
1553948561.675 * * [simplify]: iters left: 1 (252 enodes)
1553948561.719 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.719 * * [simplify]: Extracting #1: cost 24 inf + 0
1553948561.719 * * [simplify]: Extracting #2: cost 46 inf + 42
1553948561.720 * * [simplify]: Extracting #3: cost 53 inf + 246
1553948561.720 * * [simplify]: Extracting #4: cost 52 inf + 458
1553948561.723 * * [simplify]: Extracting #5: cost 24 inf + 9511
1553948561.730 * * [simplify]: Extracting #6: cost 3 inf + 18519
1553948561.739 * * [simplify]: Extracting #7: cost 0 inf + 19924
1553948561.746 * [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)))))
1553948561.746 * [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))))))))
1553948561.746 * * * * [progress]: [ 42 / 132 ] 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))))))))>
1553948561.746 * * * * [progress]: [ 43 / 132 ] 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))))))))>
1553948561.746 * * * * [progress]: [ 44 / 132 ] 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))))))))>
1553948561.746 * * * * [progress]: [ 45 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948561.747 * * * * [progress]: [ 46 / 132 ] 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)))))))>
1553948561.747 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1553948561.747 * * [simplify]: iters left: 6 (12 enodes)
1553948561.750 * * [simplify]: iters left: 5 (43 enodes)
1553948561.758 * * [simplify]: iters left: 4 (55 enodes)
1553948561.766 * * [simplify]: iters left: 3 (63 enodes)
1553948561.774 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.774 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948561.774 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948561.774 * * [simplify]: Extracting #3: cost 23 inf + 1
1553948561.774 * * [simplify]: Extracting #4: cost 19 inf + 130
1553948561.775 * * [simplify]: Extracting #5: cost 9 inf + 986
1553948561.775 * * [simplify]: Extracting #6: cost 3 inf + 2207
1553948561.775 * * [simplify]: Extracting #7: cost 0 inf + 3099
1553948561.776 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1553948561.776 * [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)))))))
1553948561.776 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948561.776 * * [simplify]: iters left: 6 (12 enodes)
1553948561.781 * * [simplify]: iters left: 5 (42 enodes)
1553948561.793 * * [simplify]: iters left: 4 (52 enodes)
1553948561.807 * * [simplify]: iters left: 3 (57 enodes)
1553948561.814 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.814 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948561.814 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948561.814 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948561.814 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948561.814 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948561.814 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948561.815 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948561.815 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948561.815 * [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))))))
1553948561.815 * * * * [progress]: [ 47 / 132 ] 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)))))))>
1553948561.816 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1553948561.816 * * [simplify]: iters left: 6 (12 enodes)
1553948561.819 * * [simplify]: iters left: 5 (43 enodes)
1553948561.825 * * [simplify]: iters left: 4 (55 enodes)
1553948561.841 * * [simplify]: iters left: 3 (63 enodes)
1553948561.849 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.849 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948561.849 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948561.849 * * [simplify]: Extracting #3: cost 23 inf + 1
1553948561.849 * * [simplify]: Extracting #4: cost 19 inf + 130
1553948561.849 * * [simplify]: Extracting #5: cost 9 inf + 986
1553948561.850 * * [simplify]: Extracting #6: cost 3 inf + 2207
1553948561.850 * * [simplify]: Extracting #7: cost 0 inf + 3099
1553948561.851 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1553948561.851 * [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)))))))
1553948561.851 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948561.851 * * [simplify]: iters left: 6 (12 enodes)
1553948561.854 * * [simplify]: iters left: 5 (42 enodes)
1553948561.861 * * [simplify]: iters left: 4 (52 enodes)
1553948561.868 * * [simplify]: iters left: 3 (57 enodes)
1553948561.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.882 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948561.882 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948561.882 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948561.882 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948561.883 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948561.883 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948561.884 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948561.885 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948561.885 * [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))))))
1553948561.885 * * * * [progress]: [ 48 / 132 ] 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)))))))>
1553948561.885 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1553948561.885 * * [simplify]: iters left: 6 (12 enodes)
1553948561.888 * * [simplify]: iters left: 5 (41 enodes)
1553948561.894 * * [simplify]: iters left: 4 (50 enodes)
1553948561.901 * * [simplify]: iters left: 3 (55 enodes)
1553948561.909 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.909 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948561.909 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948561.909 * * [simplify]: Extracting #3: cost 24 inf + 0
1553948561.909 * * [simplify]: Extracting #4: cost 22 inf + 45
1553948561.909 * * [simplify]: Extracting #5: cost 12 inf + 983
1553948561.910 * * [simplify]: Extracting #6: cost 2 inf + 3914
1553948561.910 * * [simplify]: Extracting #7: cost 0 inf + 4942
1553948561.911 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1553948561.911 * [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)))))))
1553948561.911 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948561.911 * * [simplify]: iters left: 6 (10 enodes)
1553948561.914 * * [simplify]: iters left: 5 (32 enodes)
1553948561.924 * * [simplify]: iters left: 4 (37 enodes)
1553948561.934 * * [simplify]: iters left: 3 (39 enodes)
1553948561.945 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948561.945 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948561.945 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948561.946 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948561.946 * * [simplify]: Extracting #4: cost 16 inf + 3
1553948561.946 * * [simplify]: Extracting #5: cost 14 inf + 86
1553948561.946 * * [simplify]: Extracting #6: cost 5 inf + 742
1553948561.947 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553948561.947 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948561.947 * [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)))))))
1553948561.947 * * * * [progress]: [ 49 / 132 ] 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))))))))>
1553948561.948 * [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))))))
1553948561.948 * * [simplify]: iters left: 6 (16 enodes)
1553948561.956 * * [simplify]: iters left: 5 (60 enodes)
1553948561.973 * * [simplify]: iters left: 4 (88 enodes)
1553948561.986 * * [simplify]: iters left: 3 (102 enodes)
1553948562.001 * * [simplify]: iters left: 2 (105 enodes)
1553948562.026 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.026 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948562.026 * * [simplify]: Extracting #2: cost 22 inf + 0
1553948562.027 * * [simplify]: Extracting #3: cost 27 inf + 0
1553948562.027 * * [simplify]: Extracting #4: cost 36 inf + 42
1553948562.027 * * [simplify]: Extracting #5: cost 32 inf + 693
1553948562.028 * * [simplify]: Extracting #6: cost 23 inf + 1234
1553948562.029 * * [simplify]: Extracting #7: cost 17 inf + 1940
1553948562.031 * * [simplify]: Extracting #8: cost 3 inf + 10070
1553948562.034 * * [simplify]: Extracting #9: cost 0 inf + 11915
1553948562.037 * [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))))))
1553948562.037 * [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))))))))
1553948562.038 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.038 * * [simplify]: iters left: 6 (14 enodes)
1553948562.044 * * [simplify]: iters left: 5 (48 enodes)
1553948562.052 * * [simplify]: iters left: 4 (61 enodes)
1553948562.060 * * [simplify]: iters left: 3 (68 enodes)
1553948562.071 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.071 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.071 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.071 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948562.071 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.071 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948562.072 * * [simplify]: Extracting #6: cost 4 inf + 3019
1553948562.072 * * [simplify]: Extracting #7: cost 0 inf + 4133
1553948562.073 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948562.073 * [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))))))))
1553948562.073 * * * * [progress]: [ 50 / 132 ] 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))))))))>
1553948562.073 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.073 * * [simplify]: iters left: 6 (15 enodes)
1553948562.077 * * [simplify]: iters left: 5 (53 enodes)
1553948562.093 * * [simplify]: iters left: 4 (70 enodes)
1553948562.105 * * [simplify]: iters left: 3 (80 enodes)
1553948562.115 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.115 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948562.115 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948562.115 * * [simplify]: Extracting #3: cost 19 inf + 0
1553948562.115 * * [simplify]: Extracting #4: cost 29 inf + 1
1553948562.115 * * [simplify]: Extracting #5: cost 28 inf + 129
1553948562.116 * * [simplify]: Extracting #6: cost 11 inf + 2482
1553948562.116 * * [simplify]: Extracting #7: cost 1 inf + 6100
1553948562.117 * * [simplify]: Extracting #8: cost 0 inf + 6675
1553948562.118 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
1553948562.118 * [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))))))))
1553948562.118 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.118 * * [simplify]: iters left: 6 (14 enodes)
1553948562.122 * * [simplify]: iters left: 5 (48 enodes)
1553948562.129 * * [simplify]: iters left: 4 (61 enodes)
1553948562.138 * * [simplify]: iters left: 3 (68 enodes)
1553948562.155 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.155 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.155 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.155 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948562.155 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.155 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948562.156 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553948562.157 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553948562.158 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948562.158 * [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))))))))
1553948562.159 * * * * [progress]: [ 51 / 132 ] 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)))))))>
1553948562.159 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1553948562.159 * * [simplify]: iters left: 6 (6 enodes)
1553948562.162 * * [simplify]: iters left: 5 (20 enodes)
1553948562.169 * * [simplify]: iters left: 4 (30 enodes)
1553948562.173 * * [simplify]: iters left: 3 (31 enodes)
1553948562.177 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.177 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948562.177 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948562.177 * * [simplify]: Extracting #3: cost 9 inf + 1
1553948562.177 * * [simplify]: Extracting #4: cost 8 inf + 2
1553948562.177 * * [simplify]: Extracting #5: cost 0 inf + 972
1553948562.178 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553948562.178 * [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)))))))
1553948562.178 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948562.178 * * [simplify]: iters left: 6 (13 enodes)
1553948562.181 * * [simplify]: iters left: 5 (45 enodes)
1553948562.188 * * [simplify]: iters left: 4 (58 enodes)
1553948562.196 * * [simplify]: iters left: 3 (65 enodes)
1553948562.211 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.212 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.212 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.212 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948562.212 * * [simplify]: Extracting #4: cost 20 inf + 172
1553948562.212 * * [simplify]: Extracting #5: cost 13 inf + 587
1553948562.213 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553948562.214 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553948562.215 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948562.215 * [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)))))))
1553948562.215 * * * * [progress]: [ 52 / 132 ] 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)))))))>
1553948562.215 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1553948562.215 * * [simplify]: iters left: 6 (11 enodes)
1553948562.221 * * [simplify]: iters left: 5 (38 enodes)
1553948562.228 * * [simplify]: iters left: 4 (46 enodes)
1553948562.235 * * [simplify]: iters left: 3 (52 enodes)
1553948562.241 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.241 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.241 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.241 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948562.242 * * [simplify]: Extracting #4: cost 10 inf + 501
1553948562.242 * * [simplify]: Extracting #5: cost 5 inf + 710
1553948562.242 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553948562.242 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553948562.243 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1553948562.243 * [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)))))))
1553948562.243 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948562.243 * * [simplify]: iters left: 6 (12 enodes)
1553948562.246 * * [simplify]: iters left: 5 (42 enodes)
1553948562.252 * * [simplify]: iters left: 4 (52 enodes)
1553948562.268 * * [simplify]: iters left: 3 (57 enodes)
1553948562.278 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.278 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.278 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.278 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948562.278 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948562.278 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948562.278 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948562.279 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948562.279 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948562.279 * [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))))))
1553948562.279 * * * * [progress]: [ 53 / 132 ] 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)))))))>
1553948562.279 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1553948562.280 * * [simplify]: iters left: 6 (11 enodes)
1553948562.282 * * [simplify]: iters left: 5 (38 enodes)
1553948562.288 * * [simplify]: iters left: 4 (46 enodes)
1553948562.294 * * [simplify]: iters left: 3 (52 enodes)
1553948562.302 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.302 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.302 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.302 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948562.302 * * [simplify]: Extracting #4: cost 10 inf + 501
1553948562.303 * * [simplify]: Extracting #5: cost 5 inf + 710
1553948562.303 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553948562.304 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553948562.304 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1553948562.304 * [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)))))))
1553948562.305 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948562.305 * * [simplify]: iters left: 6 (12 enodes)
1553948562.310 * * [simplify]: iters left: 5 (42 enodes)
1553948562.322 * * [simplify]: iters left: 4 (52 enodes)
1553948562.335 * * [simplify]: iters left: 3 (57 enodes)
1553948562.342 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.342 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.342 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.342 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948562.342 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948562.342 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948562.343 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948562.343 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948562.343 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948562.343 * [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))))))
1553948562.344 * * * * [progress]: [ 54 / 132 ] 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)))))))>
1553948562.344 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1553948562.344 * * [simplify]: iters left: 6 (11 enodes)
1553948562.347 * * [simplify]: iters left: 5 (36 enodes)
1553948562.352 * * [simplify]: iters left: 4 (41 enodes)
1553948562.358 * * [simplify]: iters left: 3 (43 enodes)
1553948562.370 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.370 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.370 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.370 * * [simplify]: Extracting #3: cost 18 inf + 0
1553948562.370 * * [simplify]: Extracting #4: cost 16 inf + 46
1553948562.371 * * [simplify]: Extracting #5: cost 11 inf + 335
1553948562.371 * * [simplify]: Extracting #6: cost 3 inf + 1162
1553948562.372 * * [simplify]: Extracting #7: cost 0 inf + 2404
1553948562.372 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1553948562.372 * [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)))))))
1553948562.373 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948562.373 * * [simplify]: iters left: 6 (10 enodes)
1553948562.376 * * [simplify]: iters left: 5 (32 enodes)
1553948562.380 * * [simplify]: iters left: 4 (37 enodes)
1553948562.386 * * [simplify]: iters left: 3 (39 enodes)
1553948562.391 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.391 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.391 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.391 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948562.391 * * [simplify]: Extracting #4: cost 16 inf + 3
1553948562.391 * * [simplify]: Extracting #5: cost 14 inf + 86
1553948562.391 * * [simplify]: Extracting #6: cost 5 inf + 662
1553948562.392 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553948562.392 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948562.392 * [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)))))))
1553948562.392 * * * * [progress]: [ 55 / 132 ] 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))))))))>
1553948562.392 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948562.392 * * [simplify]: iters left: 6 (15 enodes)
1553948562.396 * * [simplify]: iters left: 5 (53 enodes)
1553948562.406 * * [simplify]: iters left: 4 (68 enodes)
1553948562.421 * * [simplify]: iters left: 3 (75 enodes)
1553948562.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.431 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948562.431 * * [simplify]: Extracting #2: cost 12 inf + 0
1553948562.431 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948562.431 * * [simplify]: Extracting #4: cost 27 inf + 1
1553948562.431 * * [simplify]: Extracting #5: cost 24 inf + 213
1553948562.432 * * [simplify]: Extracting #6: cost 6 inf + 3317
1553948562.432 * * [simplify]: Extracting #7: cost 0 inf + 6193
1553948562.433 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948562.433 * [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))))))))
1553948562.434 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.434 * * [simplify]: iters left: 6 (14 enodes)
1553948562.437 * * [simplify]: iters left: 5 (48 enodes)
1553948562.444 * * [simplify]: iters left: 4 (61 enodes)
1553948562.463 * * [simplify]: iters left: 3 (68 enodes)
1553948562.471 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.471 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.471 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.471 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948562.471 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.471 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948562.472 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553948562.472 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553948562.473 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948562.473 * [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))))))))
1553948562.473 * * * * [progress]: [ 56 / 132 ] 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))))))))>
1553948562.473 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.473 * * [simplify]: iters left: 6 (14 enodes)
1553948562.477 * * [simplify]: iters left: 5 (48 enodes)
1553948562.484 * * [simplify]: iters left: 4 (61 enodes)
1553948562.494 * * [simplify]: iters left: 3 (68 enodes)
1553948562.508 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.508 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.508 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.508 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948562.509 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.509 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948562.509 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553948562.510 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553948562.510 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948562.510 * [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))))))))
1553948562.510 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.510 * * [simplify]: iters left: 6 (14 enodes)
1553948562.514 * * [simplify]: iters left: 5 (48 enodes)
1553948562.521 * * [simplify]: iters left: 4 (61 enodes)
1553948562.534 * * [simplify]: iters left: 3 (68 enodes)
1553948562.551 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.552 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.552 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.552 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948562.552 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.552 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948562.553 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553948562.554 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553948562.555 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948562.555 * [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))))))))
1553948562.555 * * * * [progress]: [ 57 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948562.555 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1)
1553948562.555 * * [simplify]: iters left: 4 (5 enodes)
1553948562.560 * * [simplify]: iters left: 3 (15 enodes)
1553948562.565 * * [simplify]: iters left: 2 (17 enodes)
1553948562.570 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.571 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.571 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948562.571 * * [simplify]: Extracting #3: cost 4 inf + 2
1553948562.571 * * [simplify]: Extracting #4: cost 1 inf + 165
1553948562.571 * * [simplify]: Extracting #5: cost 0 inf + 246
1553948562.571 * [simplify]: Simplified to (sqrt (sqrt k))
1553948562.571 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948562.572 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948562.572 * * [simplify]: iters left: 6 (13 enodes)
1553948562.578 * * [simplify]: iters left: 5 (45 enodes)
1553948562.591 * * [simplify]: iters left: 4 (58 enodes)
1553948562.607 * * [simplify]: iters left: 3 (65 enodes)
1553948562.623 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.624 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.624 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.624 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948562.624 * * [simplify]: Extracting #4: cost 20 inf + 172
1553948562.624 * * [simplify]: Extracting #5: cost 13 inf + 587
1553948562.625 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553948562.626 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553948562.627 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948562.627 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948562.627 * * * * [progress]: [ 58 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948562.627 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1553948562.627 * * [simplify]: iters left: 6 (9 enodes)
1553948562.632 * * [simplify]: iters left: 5 (34 enodes)
1553948562.643 * * [simplify]: iters left: 4 (44 enodes)
1553948562.655 * * [simplify]: iters left: 3 (49 enodes)
1553948562.668 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.668 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.668 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948562.668 * * [simplify]: Extracting #3: cost 12 inf + 2
1553948562.668 * * [simplify]: Extracting #4: cost 6 inf + 501
1553948562.668 * * [simplify]: Extracting #5: cost 0 inf + 997
1553948562.669 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1553948562.669 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1553948562.669 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553948562.670 * * [simplify]: iters left: 6 (11 enodes)
1553948562.675 * * [simplify]: iters left: 5 (39 enodes)
1553948562.686 * * [simplify]: iters left: 4 (49 enodes)
1553948562.699 * * [simplify]: iters left: 3 (55 enodes)
1553948562.717 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.717 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.717 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.717 * * [simplify]: Extracting #3: cost 18 inf + 1
1553948562.717 * * [simplify]: Extracting #4: cost 15 inf + 211
1553948562.717 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553948562.718 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948562.719 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553948562.719 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1553948562.719 * * * * [progress]: [ 59 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948562.719 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1553948562.719 * * [simplify]: iters left: 6 (9 enodes)
1553948562.724 * * [simplify]: iters left: 5 (34 enodes)
1553948562.732 * * [simplify]: iters left: 4 (44 enodes)
1553948562.739 * * [simplify]: iters left: 3 (49 enodes)
1553948562.745 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.745 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.745 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948562.745 * * [simplify]: Extracting #3: cost 12 inf + 2
1553948562.745 * * [simplify]: Extracting #4: cost 6 inf + 501
1553948562.746 * * [simplify]: Extracting #5: cost 0 inf + 997
1553948562.746 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1553948562.746 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1553948562.746 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553948562.746 * * [simplify]: iters left: 6 (11 enodes)
1553948562.749 * * [simplify]: iters left: 5 (39 enodes)
1553948562.754 * * [simplify]: iters left: 4 (49 enodes)
1553948562.761 * * [simplify]: iters left: 3 (55 enodes)
1553948562.768 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.768 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.768 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.768 * * [simplify]: Extracting #3: cost 18 inf + 1
1553948562.768 * * [simplify]: Extracting #4: cost 15 inf + 211
1553948562.769 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553948562.769 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948562.769 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553948562.769 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1553948562.769 * * * * [progress]: [ 60 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
1553948562.770 * [simplify]: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))
1553948562.770 * * [simplify]: iters left: 6 (10 enodes)
1553948562.773 * * [simplify]: iters left: 5 (35 enodes)
1553948562.778 * * [simplify]: iters left: 4 (42 enodes)
1553948562.784 * * [simplify]: iters left: 3 (44 enodes)
1553948562.791 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.791 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.791 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948562.791 * * [simplify]: Extracting #3: cost 13 inf + 1
1553948562.791 * * [simplify]: Extracting #4: cost 13 inf + 46
1553948562.791 * * [simplify]: Extracting #5: cost 11 inf + 130
1553948562.791 * * [simplify]: Extracting #6: cost 5 inf + 503
1553948562.791 * * [simplify]: Extracting #7: cost 0 inf + 2003
1553948562.792 * [simplify]: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))
1553948562.792 * [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)))))))
1553948562.792 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553948562.792 * * [simplify]: iters left: 6 (9 enodes)
1553948562.794 * * [simplify]: iters left: 5 (29 enodes)
1553948562.803 * * [simplify]: iters left: 4 (34 enodes)
1553948562.813 * * [simplify]: iters left: 3 (36 enodes)
1553948562.824 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.824 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.824 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948562.824 * * [simplify]: Extracting #3: cost 11 inf + 2
1553948562.824 * * [simplify]: Extracting #4: cost 12 inf + 85
1553948562.824 * * [simplify]: Extracting #5: cost 9 inf + 251
1553948562.824 * * [simplify]: Extracting #6: cost 4 inf + 793
1553948562.825 * * [simplify]: Extracting #7: cost 0 inf + 1918
1553948562.825 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553948562.825 * [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)))))))
1553948562.826 * * * * [progress]: [ 61 / 132 ] 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))))))))>
1553948562.826 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948562.826 * * [simplify]: iters left: 6 (14 enodes)
1553948562.833 * * [simplify]: iters left: 5 (52 enodes)
1553948562.849 * * [simplify]: iters left: 4 (69 enodes)
1553948562.868 * * [simplify]: iters left: 3 (77 enodes)
1553948562.888 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.889 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948562.889 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948562.889 * * [simplify]: Extracting #3: cost 12 inf + 1
1553948562.889 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948562.889 * * [simplify]: Extracting #5: cost 23 inf + 172
1553948562.889 * * [simplify]: Extracting #6: cost 14 inf + 713
1553948562.890 * * [simplify]: Extracting #7: cost 4 inf + 3651
1553948562.892 * * [simplify]: Extracting #8: cost 0 inf + 5634
1553948562.893 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553948562.893 * [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))))))))
1553948562.894 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.894 * * [simplify]: iters left: 6 (13 enodes)
1553948562.900 * * [simplify]: iters left: 5 (45 enodes)
1553948562.912 * * [simplify]: iters left: 4 (58 enodes)
1553948562.920 * * [simplify]: iters left: 3 (65 enodes)
1553948562.928 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.928 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.928 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.928 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948562.930 * * [simplify]: Extracting #4: cost 19 inf + 83
1553948562.930 * * [simplify]: Extracting #5: cost 20 inf + 129
1553948562.931 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948562.931 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553948562.932 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553948562.932 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948562.932 * [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))))))))
1553948562.932 * * * * [progress]: [ 62 / 132 ] 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))))))))>
1553948562.932 * [simplify]: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.933 * * [simplify]: iters left: 6 (13 enodes)
1553948562.936 * * [simplify]: iters left: 5 (47 enodes)
1553948562.943 * * [simplify]: iters left: 4 (62 enodes)
1553948562.958 * * [simplify]: iters left: 3 (69 enodes)
1553948562.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.968 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.968 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948562.968 * * [simplify]: Extracting #3: cost 8 inf + 1
1553948562.968 * * [simplify]: Extracting #4: cost 19 inf + 1
1553948562.969 * * [simplify]: Extracting #5: cost 17 inf + 297
1553948562.969 * * [simplify]: Extracting #6: cost 10 inf + 632
1553948562.969 * * [simplify]: Extracting #7: cost 2 inf + 2915
1553948562.970 * * [simplify]: Extracting #8: cost 0 inf + 3412
1553948562.970 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553948562.970 * [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))))))))
1553948562.970 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948562.970 * * [simplify]: iters left: 6 (13 enodes)
1553948562.974 * * [simplify]: iters left: 5 (45 enodes)
1553948562.980 * * [simplify]: iters left: 4 (58 enodes)
1553948562.989 * * [simplify]: iters left: 3 (65 enodes)
1553948562.997 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948562.997 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948562.997 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948562.997 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948562.997 * * [simplify]: Extracting #4: cost 19 inf + 83
1553948562.997 * * [simplify]: Extracting #5: cost 20 inf + 129
1553948562.997 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948562.998 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553948562.998 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553948562.999 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948562.999 * [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))))))))
1553948562.999 * * * * [progress]: [ 63 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948562.999 * [simplify]: Simplifying (/ 1 1)
1553948562.999 * * [simplify]: iters left: 2 (2 enodes)
1553948563.000 * * [simplify]: iters left: 1 (6 enodes)
1553948563.002 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.002 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948563.002 * [simplify]: Simplified to 1
1553948563.002 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948563.002 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.002 * * [simplify]: iters left: 6 (12 enodes)
1553948563.008 * * [simplify]: iters left: 5 (42 enodes)
1553948563.021 * * [simplify]: iters left: 4 (55 enodes)
1553948563.039 * * [simplify]: iters left: 3 (62 enodes)
1553948563.055 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.055 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.055 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.056 * * [simplify]: Extracting #3: cost 19 inf + 1
1553948563.056 * * [simplify]: Extracting #4: cost 20 inf + 46
1553948563.056 * * [simplify]: Extracting #5: cost 12 inf + 504
1553948563.057 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553948563.057 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553948563.058 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553948563.058 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))
1553948563.058 * * * * [progress]: [ 64 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948563.058 * * * * [progress]: [ 65 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948563.059 * * * * [progress]: [ 66 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948563.059 * * * * [progress]: [ 67 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948563.059 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948563.059 * * [simplify]: iters left: 5 (9 enodes)
1553948563.064 * * [simplify]: iters left: 4 (33 enodes)
1553948563.074 * * [simplify]: iters left: 3 (43 enodes)
1553948563.083 * * [simplify]: iters left: 2 (48 enodes)
1553948563.089 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.089 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.089 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948563.089 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948563.089 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948563.090 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948563.090 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948563.090 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948563.090 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553948563.090 * * * * [progress]: [ 68 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948563.090 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948563.091 * * [simplify]: iters left: 5 (9 enodes)
1553948563.093 * * [simplify]: iters left: 4 (33 enodes)
1553948563.098 * * [simplify]: iters left: 3 (43 enodes)
1553948563.103 * * [simplify]: iters left: 2 (48 enodes)
1553948563.110 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.110 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.110 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948563.110 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948563.110 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948563.111 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948563.111 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948563.112 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948563.112 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553948563.112 * * * * [progress]: [ 69 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1553948563.112 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1553948563.112 * * [simplify]: iters left: 5 (7 enodes)
1553948563.115 * * [simplify]: iters left: 4 (23 enodes)
1553948563.122 * * [simplify]: iters left: 3 (28 enodes)
1553948563.129 * * [simplify]: iters left: 2 (30 enodes)
1553948563.137 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.137 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.137 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948563.137 * * [simplify]: Extracting #3: cost 11 inf + 2
1553948563.137 * * [simplify]: Extracting #4: cost 8 inf + 127
1553948563.138 * * [simplify]: Extracting #5: cost 3 inf + 417
1553948563.138 * * [simplify]: Extracting #6: cost 1 inf + 794
1553948563.138 * * [simplify]: Extracting #7: cost 0 inf + 1088
1553948563.139 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1553948563.139 * [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))))))
1553948563.139 * * * * [progress]: [ 70 / 132 ] 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)))))))>
1553948563.139 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.139 * * [simplify]: iters left: 6 (11 enodes)
1553948563.145 * * [simplify]: iters left: 5 (39 enodes)
1553948563.160 * * [simplify]: iters left: 4 (52 enodes)
1553948563.175 * * [simplify]: iters left: 3 (59 enodes)
1553948563.190 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.191 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.191 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948563.191 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948563.191 * * [simplify]: Extracting #4: cost 19 inf + 46
1553948563.191 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553948563.192 * * [simplify]: Extracting #6: cost 0 inf + 2579
1553948563.193 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553948563.193 * [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)))))))
1553948563.193 * * * * [progress]: [ 71 / 132 ] 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)))))))>
1553948563.193 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.193 * * [simplify]: iters left: 6 (11 enodes)
1553948563.199 * * [simplify]: iters left: 5 (39 enodes)
1553948563.212 * * [simplify]: iters left: 4 (52 enodes)
1553948563.226 * * [simplify]: iters left: 3 (59 enodes)
1553948563.233 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.233 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.233 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948563.234 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948563.234 * * [simplify]: Extracting #4: cost 19 inf + 46
1553948563.234 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553948563.234 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553948563.235 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553948563.235 * [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)))))))
1553948563.235 * * * * [progress]: [ 72 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948563.235 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948563.235 * * [simplify]: iters left: 5 (10 enodes)
1553948563.238 * * [simplify]: iters left: 4 (36 enodes)
1553948563.243 * * [simplify]: iters left: 3 (49 enodes)
1553948563.250 * * [simplify]: iters left: 2 (56 enodes)
1553948563.260 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.260 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.260 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948563.260 * * [simplify]: Extracting #3: cost 18 inf + 4
1553948563.261 * * [simplify]: Extracting #4: cost 7 inf + 630
1553948563.261 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553948563.262 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948563.262 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948563.262 * * * * [progress]: [ 73 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1553948563.263 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553948563.263 * * [simplify]: iters left: 4 (4 enodes)
1553948563.264 * * [simplify]: iters left: 3 (12 enodes)
1553948563.267 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.267 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.267 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948563.267 * * [simplify]: Extracting #3: cost 7 inf + 0
1553948563.267 * * [simplify]: Extracting #4: cost 6 inf + 1
1553948563.268 * * [simplify]: Extracting #5: cost 0 inf + 647
1553948563.268 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553948563.268 * [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))))))
1553948563.268 * * * * [progress]: [ 74 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1553948563.268 * [simplify]: Simplifying (sqrt (sqrt k))
1553948563.268 * * [simplify]: iters left: 2 (3 enodes)
1553948563.270 * * [simplify]: iters left: 1 (9 enodes)
1553948563.272 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.272 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.272 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948563.272 * * [simplify]: Extracting #3: cost 4 inf + 1
1553948563.272 * * [simplify]: Extracting #4: cost 0 inf + 245
1553948563.272 * [simplify]: Simplified to (sqrt (sqrt k))
1553948563.272 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))
1553948563.272 * * * * [progress]: [ 75 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553948563.272 * * * * [progress]: [ 76 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948563.273 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948563.275 * * [simplify]: iters left: 5 (8 enodes)
1553948563.279 * * [simplify]: iters left: 4 (28 enodes)
1553948563.288 * * [simplify]: iters left: 3 (36 enodes)
1553948563.298 * * [simplify]: iters left: 2 (41 enodes)
1553948563.308 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.308 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.308 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948563.308 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948563.308 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948563.309 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948563.309 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948563.309 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1553948563.309 * * * * [progress]: [ 77 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.309 * * * * [progress]: [ 78 / 132 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.309 * * * * [progress]: [ 79 / 132 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.310 * * * * [progress]: [ 80 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))>
1553948563.310 * * * * [progress]: [ 81 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 1)))>
1553948563.310 * [simplify]: Simplifying (- 1)
1553948563.310 * * [simplify]: iters left: 2 (2 enodes)
1553948563.312 * * [simplify]: iters left: 1 (9 enodes)
1553948563.315 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.315 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948563.315 * [simplify]: Simplified to -1
1553948563.315 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))
1553948563.316 * * * * [progress]: [ 82 / 132 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553948563.316 * * * * [progress]: [ 83 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948563.316 * * * * [progress]: [ 84 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948563.316 * * * * [progress]: [ 85 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.316 * * * * [progress]: [ 86 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.316 * * * * [progress]: [ 87 / 132 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.316 * * * * [progress]: [ 88 / 132 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948563.316 * * * * [progress]: [ 89 / 132 ] 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))))))))>
1553948563.316 * * * * [progress]: [ 90 / 132 ] 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))))))))>
1553948563.316 * * * * [progress]: [ 91 / 132 ] 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))))))))>
1553948563.316 * * * * [progress]: [ 92 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948563.316 * * * * [progress]: [ 93 / 132 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948563.316 * * * * [progress]: [ 94 / 132 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948563.316 * * * * [progress]: [ 95 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553948563.316 * * * * [progress]: [ 96 / 132 ] 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)))))))>
1553948563.317 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.317 * * [simplify]: iters left: 6 (13 enodes)
1553948563.323 * * [simplify]: iters left: 5 (45 enodes)
1553948563.336 * * [simplify]: iters left: 4 (58 enodes)
1553948563.352 * * [simplify]: iters left: 3 (65 enodes)
1553948563.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.369 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.369 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948563.369 * * [simplify]: Extracting #3: cost 11 inf + 0
1553948563.369 * * [simplify]: Extracting #4: cost 21 inf + 1
1553948563.369 * * [simplify]: Extracting #5: cost 21 inf + 88
1553948563.370 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948563.370 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553948563.372 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553948563.372 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948563.372 * [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)))))))
1553948563.373 * * * * [progress]: [ 97 / 132 ] 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)))))))>
1553948563.373 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.373 * * [simplify]: iters left: 6 (13 enodes)
1553948563.380 * * [simplify]: iters left: 5 (45 enodes)
1553948563.393 * * [simplify]: iters left: 4 (58 enodes)
1553948563.408 * * [simplify]: iters left: 3 (65 enodes)
1553948563.421 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.421 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948563.421 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948563.421 * * [simplify]: Extracting #3: cost 11 inf + 0
1553948563.421 * * [simplify]: Extracting #4: cost 21 inf + 1
1553948563.421 * * [simplify]: Extracting #5: cost 21 inf + 88
1553948563.422 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948563.422 * * [simplify]: Extracting #7: cost 1 inf + 3156
1553948563.422 * * [simplify]: Extracting #8: cost 0 inf + 3651
1553948563.423 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948563.423 * [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)))))))
1553948563.423 * * * * [progress]: [ 98 / 132 ] 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))))))>
1553948563.423 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.424 * * [simplify]: iters left: 6 (12 enodes)
1553948563.426 * * [simplify]: iters left: 5 (42 enodes)
1553948563.432 * * [simplify]: iters left: 4 (52 enodes)
1553948563.440 * * [simplify]: iters left: 3 (57 enodes)
1553948563.448 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.448 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.448 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.448 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948563.448 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948563.448 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948563.449 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948563.450 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948563.451 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948563.451 * [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)))))
1553948563.451 * * * * [progress]: [ 99 / 132 ] 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))))))>
1553948563.451 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.451 * * [simplify]: iters left: 6 (12 enodes)
1553948563.457 * * [simplify]: iters left: 5 (42 enodes)
1553948563.469 * * [simplify]: iters left: 4 (52 enodes)
1553948563.483 * * [simplify]: iters left: 3 (57 enodes)
1553948563.497 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.497 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.498 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.498 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948563.498 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948563.498 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948563.499 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553948563.500 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553948563.500 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948563.501 * [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)))))
1553948563.501 * * * * [progress]: [ 100 / 132 ] 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))))))>
1553948563.501 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948563.501 * * [simplify]: iters left: 6 (10 enodes)
1553948563.506 * * [simplify]: iters left: 5 (32 enodes)
1553948563.516 * * [simplify]: iters left: 4 (37 enodes)
1553948563.527 * * [simplify]: iters left: 3 (39 enodes)
1553948563.537 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.537 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.537 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.537 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948563.537 * * [simplify]: Extracting #4: cost 16 inf + 3
1553948563.538 * * [simplify]: Extracting #5: cost 14 inf + 86
1553948563.538 * * [simplify]: Extracting #6: cost 5 inf + 742
1553948563.538 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553948563.539 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948563.539 * [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))))))
1553948563.539 * * * * [progress]: [ 101 / 132 ] 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)))))))>
1553948563.540 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.540 * * [simplify]: iters left: 6 (14 enodes)
1553948563.549 * * [simplify]: iters left: 5 (48 enodes)
1553948563.558 * * [simplify]: iters left: 4 (61 enodes)
1553948563.567 * * [simplify]: iters left: 3 (68 enodes)
1553948563.575 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.575 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.576 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948563.576 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948563.576 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948563.576 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948563.576 * * [simplify]: Extracting #6: cost 4 inf + 3019
1553948563.577 * * [simplify]: Extracting #7: cost 0 inf + 4133
1553948563.577 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948563.577 * [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)))))))
1553948563.577 * * * * [progress]: [ 102 / 132 ] 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)))))))>
1553948563.578 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.578 * * [simplify]: iters left: 6 (14 enodes)
1553948563.581 * * [simplify]: iters left: 5 (48 enodes)
1553948563.592 * * [simplify]: iters left: 4 (61 enodes)
1553948563.608 * * [simplify]: iters left: 3 (68 enodes)
1553948563.625 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.625 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.625 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948563.625 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948563.625 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948563.626 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948563.626 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553948563.627 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553948563.628 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948563.629 * [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)))))))
1553948563.629 * * * * [progress]: [ 103 / 132 ] 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))))))>
1553948563.629 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.629 * * [simplify]: iters left: 6 (13 enodes)
1553948563.635 * * [simplify]: iters left: 5 (45 enodes)
1553948563.645 * * [simplify]: iters left: 4 (58 enodes)
1553948563.656 * * [simplify]: iters left: 3 (65 enodes)
1553948563.664 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.664 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.664 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.664 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948563.664 * * [simplify]: Extracting #4: cost 20 inf + 172
1553948563.664 * * [simplify]: Extracting #5: cost 13 inf + 587
1553948563.664 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553948563.665 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553948563.665 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.665 * [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))))))
1553948563.666 * * * * [progress]: [ 104 / 132 ] 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))))))>
1553948563.666 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.666 * * [simplify]: iters left: 6 (12 enodes)
1553948563.669 * * [simplify]: iters left: 5 (42 enodes)
1553948563.675 * * [simplify]: iters left: 4 (52 enodes)
1553948563.682 * * [simplify]: iters left: 3 (57 enodes)
1553948563.688 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.689 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.689 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.689 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948563.689 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948563.689 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948563.689 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948563.690 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948563.690 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948563.690 * [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)))))
1553948563.690 * * * * [progress]: [ 105 / 132 ] 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))))))>
1553948563.691 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.691 * * [simplify]: iters left: 6 (12 enodes)
1553948563.694 * * [simplify]: iters left: 5 (42 enodes)
1553948563.705 * * [simplify]: iters left: 4 (52 enodes)
1553948563.712 * * [simplify]: iters left: 3 (57 enodes)
1553948563.719 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.719 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.720 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.720 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948563.720 * * [simplify]: Extracting #4: cost 17 inf + 296
1553948563.720 * * [simplify]: Extracting #5: cost 8 inf + 751
1553948563.720 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553948563.721 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553948563.721 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553948563.721 * [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)))))
1553948563.721 * * * * [progress]: [ 106 / 132 ] 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))))))>
1553948563.721 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948563.721 * * [simplify]: iters left: 6 (10 enodes)
1553948563.724 * * [simplify]: iters left: 5 (32 enodes)
1553948563.729 * * [simplify]: iters left: 4 (37 enodes)
1553948563.734 * * [simplify]: iters left: 3 (39 enodes)
1553948563.747 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.747 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.747 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.747 * * [simplify]: Extracting #3: cost 14 inf + 1
1553948563.747 * * [simplify]: Extracting #4: cost 16 inf + 3
1553948563.747 * * [simplify]: Extracting #5: cost 14 inf + 86
1553948563.747 * * [simplify]: Extracting #6: cost 5 inf + 662
1553948563.748 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553948563.748 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553948563.748 * [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))))))
1553948563.749 * * * * [progress]: [ 107 / 132 ] 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)))))))>
1553948563.749 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.749 * * [simplify]: iters left: 6 (14 enodes)
1553948563.756 * * [simplify]: iters left: 5 (48 enodes)
1553948563.770 * * [simplify]: iters left: 4 (61 enodes)
1553948563.787 * * [simplify]: iters left: 3 (68 enodes)
1553948563.804 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.804 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.804 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948563.804 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948563.804 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948563.804 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948563.805 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553948563.806 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553948563.807 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948563.807 * [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)))))))
1553948563.808 * * * * [progress]: [ 108 / 132 ] 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)))))))>
1553948563.808 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948563.808 * * [simplify]: iters left: 6 (14 enodes)
1553948563.815 * * [simplify]: iters left: 5 (48 enodes)
1553948563.828 * * [simplify]: iters left: 4 (61 enodes)
1553948563.846 * * [simplify]: iters left: 3 (68 enodes)
1553948563.863 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.863 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.863 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948563.863 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948563.863 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948563.863 * * [simplify]: Extracting #5: cost 21 inf + 172
1553948563.864 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553948563.865 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553948563.866 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553948563.866 * [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)))))))
1553948563.866 * * * * [progress]: [ 109 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948563.867 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.867 * * [simplify]: iters left: 6 (13 enodes)
1553948563.873 * * [simplify]: iters left: 5 (45 enodes)
1553948563.882 * * [simplify]: iters left: 4 (58 enodes)
1553948563.890 * * [simplify]: iters left: 3 (65 enodes)
1553948563.898 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.898 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.898 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.898 * * [simplify]: Extracting #3: cost 22 inf + 0
1553948563.898 * * [simplify]: Extracting #4: cost 20 inf + 172
1553948563.898 * * [simplify]: Extracting #5: cost 13 inf + 587
1553948563.899 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553948563.899 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553948563.900 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948563.900 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948563.900 * * * * [progress]: [ 110 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948563.900 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.900 * * [simplify]: iters left: 6 (11 enodes)
1553948563.905 * * [simplify]: iters left: 5 (39 enodes)
1553948563.916 * * [simplify]: iters left: 4 (49 enodes)
1553948563.929 * * [simplify]: iters left: 3 (55 enodes)
1553948563.943 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.943 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.943 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.943 * * [simplify]: Extracting #3: cost 18 inf + 1
1553948563.943 * * [simplify]: Extracting #4: cost 15 inf + 211
1553948563.944 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553948563.945 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948563.945 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553948563.945 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1553948563.945 * * * * [progress]: [ 111 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948563.946 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553948563.946 * * [simplify]: iters left: 6 (11 enodes)
1553948563.951 * * [simplify]: iters left: 5 (39 enodes)
1553948563.962 * * [simplify]: iters left: 4 (49 enodes)
1553948563.976 * * [simplify]: iters left: 3 (55 enodes)
1553948563.990 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948563.990 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948563.990 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948563.990 * * [simplify]: Extracting #3: cost 18 inf + 1
1553948563.990 * * [simplify]: Extracting #4: cost 15 inf + 211
1553948563.991 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553948563.991 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553948563.992 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553948563.992 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1553948563.993 * * * * [progress]: [ 112 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1553948563.993 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553948563.993 * * [simplify]: iters left: 6 (9 enodes)
1553948563.997 * * [simplify]: iters left: 5 (29 enodes)
1553948564.006 * * [simplify]: iters left: 4 (34 enodes)
1553948564.012 * * [simplify]: iters left: 3 (36 enodes)
1553948564.017 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.017 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.018 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948564.018 * * [simplify]: Extracting #3: cost 11 inf + 2
1553948564.018 * * [simplify]: Extracting #4: cost 12 inf + 85
1553948564.018 * * [simplify]: Extracting #5: cost 9 inf + 251
1553948564.018 * * [simplify]: Extracting #6: cost 4 inf + 793
1553948564.018 * * [simplify]: Extracting #7: cost 0 inf + 1918
1553948564.018 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553948564.018 * [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))))))
1553948564.019 * * * * [progress]: [ 113 / 132 ] 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)))))))>
1553948564.019 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948564.019 * * [simplify]: iters left: 6 (13 enodes)
1553948564.022 * * [simplify]: iters left: 5 (45 enodes)
1553948564.029 * * [simplify]: iters left: 4 (58 enodes)
1553948564.037 * * [simplify]: iters left: 3 (65 enodes)
1553948564.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.046 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.046 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948564.046 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948564.046 * * [simplify]: Extracting #4: cost 19 inf + 83
1553948564.046 * * [simplify]: Extracting #5: cost 20 inf + 129
1553948564.047 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948564.047 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553948564.048 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553948564.049 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948564.049 * [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)))))))
1553948564.050 * * * * [progress]: [ 114 / 132 ] 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)))))))>
1553948564.050 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948564.050 * * [simplify]: iters left: 6 (13 enodes)
1553948564.056 * * [simplify]: iters left: 5 (45 enodes)
1553948564.070 * * [simplify]: iters left: 4 (58 enodes)
1553948564.086 * * [simplify]: iters left: 3 (65 enodes)
1553948564.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.098 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.098 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948564.098 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948564.098 * * [simplify]: Extracting #4: cost 19 inf + 83
1553948564.098 * * [simplify]: Extracting #5: cost 20 inf + 129
1553948564.098 * * [simplify]: Extracting #6: cost 11 inf + 711
1553948564.099 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553948564.099 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553948564.100 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553948564.100 * [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)))))))
1553948564.100 * * * * [progress]: [ 115 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948564.100 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948564.100 * * [simplify]: iters left: 6 (12 enodes)
1553948564.103 * * [simplify]: iters left: 5 (42 enodes)
1553948564.111 * * [simplify]: iters left: 4 (55 enodes)
1553948564.126 * * [simplify]: iters left: 3 (62 enodes)
1553948564.137 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.137 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.137 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948564.137 * * [simplify]: Extracting #3: cost 19 inf + 1
1553948564.137 * * [simplify]: Extracting #4: cost 20 inf + 46
1553948564.137 * * [simplify]: Extracting #5: cost 12 inf + 504
1553948564.138 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553948564.138 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553948564.139 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553948564.139 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948564.139 * * * * [progress]: [ 116 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948564.139 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948564.139 * * [simplify]: iters left: 6 (12 enodes)
1553948564.142 * * [simplify]: iters left: 5 (42 enodes)
1553948564.148 * * [simplify]: iters left: 4 (55 enodes)
1553948564.156 * * [simplify]: iters left: 3 (62 enodes)
1553948564.166 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.166 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.166 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948564.166 * * [simplify]: Extracting #3: cost 19 inf + 1
1553948564.167 * * [simplify]: Extracting #4: cost 20 inf + 46
1553948564.167 * * [simplify]: Extracting #5: cost 12 inf + 504
1553948564.168 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553948564.168 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553948564.169 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553948564.169 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948564.169 * * * * [progress]: [ 117 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948564.170 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948564.170 * * [simplify]: iters left: 6 (12 enodes)
1553948564.176 * * [simplify]: iters left: 5 (44 enodes)
1553948564.189 * * [simplify]: iters left: 4 (59 enodes)
1553948564.206 * * [simplify]: iters left: 3 (66 enodes)
1553948564.224 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.224 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.224 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948564.224 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948564.224 * * [simplify]: Extracting #4: cost 15 inf + 297
1553948564.224 * * [simplify]: Extracting #5: cost 8 inf + 673
1553948564.228 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553948564.228 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553948564.229 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948564.229 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948564.230 * * * * [progress]: [ 118 / 132 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553948564.230 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948564.230 * * [simplify]: iters left: 5 (8 enodes)
1553948564.234 * * [simplify]: iters left: 4 (28 enodes)
1553948564.242 * * [simplify]: iters left: 3 (36 enodes)
1553948564.251 * * [simplify]: iters left: 2 (41 enodes)
1553948564.256 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.256 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.256 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948564.256 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948564.256 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948564.256 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948564.257 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948564.257 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1553948564.257 * * * * [progress]: [ 119 / 132 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553948564.257 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948564.257 * * [simplify]: iters left: 5 (10 enodes)
1553948564.260 * * [simplify]: iters left: 4 (36 enodes)
1553948564.265 * * [simplify]: iters left: 3 (49 enodes)
1553948564.272 * * [simplify]: iters left: 2 (56 enodes)
1553948564.279 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.279 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948564.279 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948564.279 * * [simplify]: Extracting #3: cost 18 inf + 4
1553948564.279 * * [simplify]: Extracting #4: cost 7 inf + 630
1553948564.280 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553948564.280 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948564.280 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948564.280 * * * * [progress]: [ 120 / 132 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948564.280 * * * * [progress]: [ 121 / 132 ] 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))))))))>
1553948564.280 * [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)))))
1553948564.281 * * [simplify]: iters left: 6 (37 enodes)
1553948564.296 * * [simplify]: iters left: 5 (182 enodes)
1553948564.369 * * [simplify]: iters left: 4 (487 enodes)
1553948564.625 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948564.625 * * [simplify]: Extracting #1: cost 74 inf + 0
1553948564.626 * * [simplify]: Extracting #2: cost 339 inf + 3
1553948564.629 * * [simplify]: Extracting #3: cost 496 inf + 559
1553948564.652 * * [simplify]: Extracting #4: cost 330 inf + 53115
1553948564.724 * * [simplify]: Extracting #5: cost 70 inf + 174349
1553948564.786 * * [simplify]: Extracting #6: cost 0 inf + 222643
1553948564.861 * * [simplify]: Extracting #7: cost 0 inf + 219647
1553948564.940 * * [simplify]: Extracting #8: cost 0 inf + 219582
1553948565.026 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1553948565.026 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))))))
1553948565.026 * * * * [progress]: [ 122 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553948565.027 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553948565.027 * * [simplify]: iters left: 6 (15 enodes)
1553948565.037 * * [simplify]: iters left: 5 (63 enodes)
1553948565.057 * * [simplify]: iters left: 4 (108 enodes)
1553948565.081 * * [simplify]: iters left: 3 (268 enodes)
1553948565.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948565.196 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948565.196 * * [simplify]: Extracting #2: cost 116 inf + 0
1553948565.198 * * [simplify]: Extracting #3: cost 211 inf + 668
1553948565.201 * * [simplify]: Extracting #4: cost 149 inf + 9715
1553948565.214 * * [simplify]: Extracting #5: cost 42 inf + 34460
1553948565.232 * * [simplify]: Extracting #6: cost 0 inf + 46240
1553948565.250 * * [simplify]: Extracting #7: cost 0 inf + 45870
1553948565.262 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1553948565.262 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 PI) n) (fma k -1/2 1/2)))))
1553948565.262 * * * * [progress]: [ 123 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553948565.262 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553948565.263 * * [simplify]: iters left: 6 (15 enodes)
1553948565.267 * * [simplify]: iters left: 5 (60 enodes)
1553948565.277 * * [simplify]: iters left: 4 (111 enodes)
1553948565.322 * * [simplify]: iters left: 3 (302 enodes)
1553948565.437 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948565.437 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948565.437 * * [simplify]: Extracting #2: cost 144 inf + 0
1553948565.438 * * [simplify]: Extracting #3: cost 312 inf + 558
1553948565.440 * * [simplify]: Extracting #4: cost 279 inf + 4663
1553948565.447 * * [simplify]: Extracting #5: cost 100 inf + 51858
1553948565.468 * * [simplify]: Extracting #6: cost 2 inf + 80601
1553948565.487 * * [simplify]: Extracting #7: cost 0 inf + 76621
1553948565.502 * * [simplify]: Extracting #8: cost 0 inf + 76306
1553948565.519 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1553948565.519 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))
1553948565.520 * * * * [progress]: [ 124 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948565.520 * [simplify]: Simplifying (* 2 (* n PI))
1553948565.520 * * [simplify]: iters left: 4 (5 enodes)
1553948565.522 * * [simplify]: iters left: 3 (19 enodes)
1553948565.525 * * [simplify]: iters left: 2 (27 enodes)
1553948565.528 * * [simplify]: iters left: 1 (32 enodes)
1553948565.532 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948565.533 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948565.533 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948565.533 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948565.533 * [simplify]: Simplified to (* (* PI n) 2)
1553948565.533 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948565.533 * * * * [progress]: [ 125 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948565.534 * [simplify]: Simplifying (* 2 (* n PI))
1553948565.534 * * [simplify]: iters left: 4 (5 enodes)
1553948565.535 * * [simplify]: iters left: 3 (19 enodes)
1553948565.538 * * [simplify]: iters left: 2 (27 enodes)
1553948565.542 * * [simplify]: iters left: 1 (32 enodes)
1553948565.546 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948565.546 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948565.546 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948565.546 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948565.546 * [simplify]: Simplified to (* (* PI n) 2)
1553948565.546 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948565.546 * * * * [progress]: [ 126 / 132 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948565.546 * [simplify]: Simplifying (* 2 (* n PI))
1553948565.546 * * [simplify]: iters left: 4 (5 enodes)
1553948565.548 * * [simplify]: iters left: 3 (19 enodes)
1553948565.551 * * [simplify]: iters left: 2 (27 enodes)
1553948565.555 * * [simplify]: iters left: 1 (32 enodes)
1553948565.559 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948565.559 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948565.559 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948565.559 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948565.559 * [simplify]: Simplified to (* (* PI n) 2)
1553948565.559 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948565.559 * * * * [progress]: [ 127 / 132 ] 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)))))))))))))>
1553948565.560 * [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)))))))))))
1553948565.560 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553948565.560 * * * * [progress]: [ 128 / 132 ] 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))))))))))))))>
1553948565.560 * [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))))))))))))
1553948565.560 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553948565.560 * * * * [progress]: [ 129 / 132 ] 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))))))))))))))>
1553948565.560 * [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))))))))))))
1553948565.560 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553948565.560 * * * * [progress]: [ 130 / 132 ] 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))))))))))))))>
1553948565.561 * [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)))))))))))))
1553948565.561 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948565.561 * * * * [progress]: [ 131 / 132 ] 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)))))))))>
1553948565.561 * [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))))))))
1553948565.561 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948565.561 * * * * [progress]: [ 132 / 132 ] 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))))))))))))>
1553948565.562 * [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)))))))))))
1553948565.562 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948565.562 * * * [progress]: adding candidates to table
1553948567.279 * * [progress]: iteration 3 / 4
1553948567.279 * * * [progress]: picking best candidate
1553948567.325 * * * * [pick]: Picked  #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948567.325 * * * [progress]: localizing error
1553948567.332 * * * [progress]: generating rewritten candidates
1553948567.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553948567.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553948567.338 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
1553948567.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1553948567.347 * * * [progress]: generating series expansions
1553948567.347 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553948567.348 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553948567.348 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553948567.348 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948567.348 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948567.348 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948567.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948567.348 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.348 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.348 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948567.348 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.348 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.348 * [taylor]: Taking taylor expansion of k in k
1553948567.348 * [backup-simplify]: Simplify 0 into 0
1553948567.348 * [backup-simplify]: Simplify 1 into 1
1553948567.348 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948567.348 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948567.348 * [taylor]: Taking taylor expansion of 2 in k
1553948567.348 * [backup-simplify]: Simplify 2 into 2
1553948567.348 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948567.348 * [taylor]: Taking taylor expansion of n in k
1553948567.348 * [backup-simplify]: Simplify n into n
1553948567.348 * [taylor]: Taking taylor expansion of PI in k
1553948567.348 * [backup-simplify]: Simplify PI into PI
1553948567.348 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948567.348 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948567.348 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948567.349 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948567.349 * [backup-simplify]: Simplify (- 0) into 0
1553948567.349 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.349 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948567.349 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948567.349 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948567.349 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948567.349 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948567.349 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948567.349 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.349 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.349 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948567.349 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.349 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.349 * [taylor]: Taking taylor expansion of k in n
1553948567.349 * [backup-simplify]: Simplify k into k
1553948567.349 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.349 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.349 * [taylor]: Taking taylor expansion of 2 in n
1553948567.350 * [backup-simplify]: Simplify 2 into 2
1553948567.350 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.350 * [taylor]: Taking taylor expansion of n in n
1553948567.350 * [backup-simplify]: Simplify 0 into 0
1553948567.350 * [backup-simplify]: Simplify 1 into 1
1553948567.350 * [taylor]: Taking taylor expansion of PI in n
1553948567.350 * [backup-simplify]: Simplify PI into PI
1553948567.350 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.350 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.352 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.353 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.353 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948567.353 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948567.353 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948567.354 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.354 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948567.355 * [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)))))
1553948567.355 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948567.355 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948567.355 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948567.355 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948567.355 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.355 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.355 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948567.355 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.355 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.355 * [taylor]: Taking taylor expansion of k in n
1553948567.355 * [backup-simplify]: Simplify k into k
1553948567.355 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.355 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.355 * [taylor]: Taking taylor expansion of 2 in n
1553948567.355 * [backup-simplify]: Simplify 2 into 2
1553948567.355 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.355 * [taylor]: Taking taylor expansion of n in n
1553948567.355 * [backup-simplify]: Simplify 0 into 0
1553948567.355 * [backup-simplify]: Simplify 1 into 1
1553948567.355 * [taylor]: Taking taylor expansion of PI in n
1553948567.355 * [backup-simplify]: Simplify PI into PI
1553948567.356 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.356 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.358 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.358 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.358 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948567.358 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948567.358 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948567.359 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.360 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948567.361 * [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)))))
1553948567.361 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948567.361 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948567.361 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948567.361 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.361 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.361 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948567.361 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.361 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.361 * [taylor]: Taking taylor expansion of k in k
1553948567.361 * [backup-simplify]: Simplify 0 into 0
1553948567.361 * [backup-simplify]: Simplify 1 into 1
1553948567.361 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948567.361 * [taylor]: Taking taylor expansion of (log n) in k
1553948567.361 * [taylor]: Taking taylor expansion of n in k
1553948567.361 * [backup-simplify]: Simplify n into n
1553948567.361 * [backup-simplify]: Simplify (log n) into (log n)
1553948567.361 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948567.361 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948567.361 * [taylor]: Taking taylor expansion of 2 in k
1553948567.361 * [backup-simplify]: Simplify 2 into 2
1553948567.361 * [taylor]: Taking taylor expansion of PI in k
1553948567.361 * [backup-simplify]: Simplify PI into PI
1553948567.361 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.362 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.362 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948567.366 * [backup-simplify]: Simplify (- 0) into 0
1553948567.366 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.367 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.367 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948567.368 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948567.369 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948567.369 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948567.370 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948567.371 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948567.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948567.371 * [backup-simplify]: Simplify (- 0) into 0
1553948567.372 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.372 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.373 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948567.375 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948567.375 * [taylor]: Taking taylor expansion of 0 in k
1553948567.375 * [backup-simplify]: Simplify 0 into 0
1553948567.375 * [backup-simplify]: Simplify 0 into 0
1553948567.376 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948567.377 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948567.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948567.379 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948567.380 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.381 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948567.385 * [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)))))))
1553948567.388 * [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)))))))
1553948567.389 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.390 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948567.394 * [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
1553948567.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948567.395 * [backup-simplify]: Simplify (- 0) into 0
1553948567.396 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.397 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.398 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948567.401 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948567.401 * [taylor]: Taking taylor expansion of 0 in k
1553948567.401 * [backup-simplify]: Simplify 0 into 0
1553948567.401 * [backup-simplify]: Simplify 0 into 0
1553948567.401 * [backup-simplify]: Simplify 0 into 0
1553948567.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948567.405 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.408 * [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
1553948567.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948567.410 * [backup-simplify]: Simplify (- 0) into 0
1553948567.410 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948567.416 * [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)))))
1553948567.421 * [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)))))
1553948567.430 * [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)))))
1553948567.430 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553948567.430 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553948567.430 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948567.430 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948567.430 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948567.430 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948567.430 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.430 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.430 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.430 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.430 * [taylor]: Taking taylor expansion of k in k
1553948567.431 * [backup-simplify]: Simplify 0 into 0
1553948567.431 * [backup-simplify]: Simplify 1 into 1
1553948567.431 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.431 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948567.431 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948567.431 * [taylor]: Taking taylor expansion of 2 in k
1553948567.431 * [backup-simplify]: Simplify 2 into 2
1553948567.431 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.431 * [taylor]: Taking taylor expansion of PI in k
1553948567.431 * [backup-simplify]: Simplify PI into PI
1553948567.431 * [taylor]: Taking taylor expansion of n in k
1553948567.431 * [backup-simplify]: Simplify n into n
1553948567.431 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.431 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948567.432 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948567.432 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.432 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.433 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.433 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948567.433 * [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))))
1553948567.433 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.433 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.433 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.433 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.433 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.433 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.433 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.433 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.433 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.433 * [taylor]: Taking taylor expansion of k in n
1553948567.433 * [backup-simplify]: Simplify k into k
1553948567.433 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.434 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.434 * [taylor]: Taking taylor expansion of 2 in n
1553948567.434 * [backup-simplify]: Simplify 2 into 2
1553948567.434 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.434 * [taylor]: Taking taylor expansion of PI in n
1553948567.434 * [backup-simplify]: Simplify PI into PI
1553948567.434 * [taylor]: Taking taylor expansion of n in n
1553948567.434 * [backup-simplify]: Simplify 0 into 0
1553948567.434 * [backup-simplify]: Simplify 1 into 1
1553948567.434 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.435 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.436 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.436 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.436 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.436 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.438 * [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)))
1553948567.438 * [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))))
1553948567.439 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.439 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.439 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.439 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.439 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.439 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.439 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.439 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.439 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.439 * [taylor]: Taking taylor expansion of k in n
1553948567.439 * [backup-simplify]: Simplify k into k
1553948567.439 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.439 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.439 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.439 * [taylor]: Taking taylor expansion of 2 in n
1553948567.439 * [backup-simplify]: Simplify 2 into 2
1553948567.439 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.439 * [taylor]: Taking taylor expansion of PI in n
1553948567.439 * [backup-simplify]: Simplify PI into PI
1553948567.439 * [taylor]: Taking taylor expansion of n in n
1553948567.439 * [backup-simplify]: Simplify 0 into 0
1553948567.439 * [backup-simplify]: Simplify 1 into 1
1553948567.439 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.439 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.440 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.440 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.440 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.440 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.441 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.442 * [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)))
1553948567.443 * [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))))
1553948567.443 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948567.443 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948567.443 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948567.443 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.443 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.443 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.443 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.443 * [taylor]: Taking taylor expansion of k in k
1553948567.443 * [backup-simplify]: Simplify 0 into 0
1553948567.443 * [backup-simplify]: Simplify 1 into 1
1553948567.443 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.443 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948567.443 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948567.443 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948567.443 * [taylor]: Taking taylor expansion of 2 in k
1553948567.443 * [backup-simplify]: Simplify 2 into 2
1553948567.443 * [taylor]: Taking taylor expansion of PI in k
1553948567.443 * [backup-simplify]: Simplify PI into PI
1553948567.444 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.444 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.444 * [taylor]: Taking taylor expansion of (log n) in k
1553948567.444 * [taylor]: Taking taylor expansion of n in k
1553948567.444 * [backup-simplify]: Simplify n into n
1553948567.444 * [backup-simplify]: Simplify (log n) into (log n)
1553948567.445 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.445 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.445 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.445 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948567.446 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948567.446 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948567.447 * [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))))
1553948567.448 * [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))))
1553948567.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948567.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948567.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948567.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948567.450 * [backup-simplify]: Simplify (- 0) into 0
1553948567.450 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.451 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.452 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948567.453 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948567.453 * [taylor]: Taking taylor expansion of 0 in k
1553948567.453 * [backup-simplify]: Simplify 0 into 0
1553948567.453 * [backup-simplify]: Simplify 0 into 0
1553948567.453 * [backup-simplify]: Simplify 0 into 0
1553948567.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.456 * [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
1553948567.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948567.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948567.457 * [backup-simplify]: Simplify (- 0) into 0
1553948567.458 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.458 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.459 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948567.461 * [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
1553948567.461 * [taylor]: Taking taylor expansion of 0 in k
1553948567.461 * [backup-simplify]: Simplify 0 into 0
1553948567.461 * [backup-simplify]: Simplify 0 into 0
1553948567.461 * [backup-simplify]: Simplify 0 into 0
1553948567.461 * [backup-simplify]: Simplify 0 into 0
1553948567.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.465 * [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
1553948567.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948567.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948567.467 * [backup-simplify]: Simplify (- 0) into 0
1553948567.467 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.468 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.469 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948567.470 * [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
1553948567.470 * [taylor]: Taking taylor expansion of 0 in k
1553948567.470 * [backup-simplify]: Simplify 0 into 0
1553948567.471 * [backup-simplify]: Simplify 0 into 0
1553948567.471 * [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)))))
1553948567.471 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553948567.471 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553948567.471 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948567.471 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948567.471 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948567.472 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948567.472 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.472 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.472 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.472 * [taylor]: Taking taylor expansion of k in k
1553948567.472 * [backup-simplify]: Simplify 0 into 0
1553948567.472 * [backup-simplify]: Simplify 1 into 1
1553948567.472 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.472 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.472 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.472 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948567.472 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948567.472 * [taylor]: Taking taylor expansion of -2 in k
1553948567.472 * [backup-simplify]: Simplify -2 into -2
1553948567.472 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.472 * [taylor]: Taking taylor expansion of PI in k
1553948567.472 * [backup-simplify]: Simplify PI into PI
1553948567.472 * [taylor]: Taking taylor expansion of n in k
1553948567.472 * [backup-simplify]: Simplify n into n
1553948567.472 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.472 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948567.472 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948567.472 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.473 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.473 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948567.473 * [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)))
1553948567.473 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.473 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948567.473 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948567.473 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.473 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.473 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.473 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.473 * [taylor]: Taking taylor expansion of k in n
1553948567.473 * [backup-simplify]: Simplify k into k
1553948567.473 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.473 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.473 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.473 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.473 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.473 * [taylor]: Taking taylor expansion of -2 in n
1553948567.473 * [backup-simplify]: Simplify -2 into -2
1553948567.473 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.473 * [taylor]: Taking taylor expansion of PI in n
1553948567.473 * [backup-simplify]: Simplify PI into PI
1553948567.473 * [taylor]: Taking taylor expansion of n in n
1553948567.473 * [backup-simplify]: Simplify 0 into 0
1553948567.473 * [backup-simplify]: Simplify 1 into 1
1553948567.474 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.474 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.475 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.475 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.475 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.478 * [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)))
1553948567.479 * [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))))
1553948567.479 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.479 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948567.479 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948567.479 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.479 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.479 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.479 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.479 * [taylor]: Taking taylor expansion of k in n
1553948567.479 * [backup-simplify]: Simplify k into k
1553948567.479 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.479 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.479 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.479 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.479 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.479 * [taylor]: Taking taylor expansion of -2 in n
1553948567.479 * [backup-simplify]: Simplify -2 into -2
1553948567.479 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.479 * [taylor]: Taking taylor expansion of PI in n
1553948567.479 * [backup-simplify]: Simplify PI into PI
1553948567.479 * [taylor]: Taking taylor expansion of n in n
1553948567.479 * [backup-simplify]: Simplify 0 into 0
1553948567.479 * [backup-simplify]: Simplify 1 into 1
1553948567.480 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.480 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.481 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.481 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.481 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.482 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.482 * [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)))
1553948567.483 * [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))))
1553948567.483 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948567.483 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948567.483 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948567.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.483 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.483 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.483 * [taylor]: Taking taylor expansion of k in k
1553948567.483 * [backup-simplify]: Simplify 0 into 0
1553948567.483 * [backup-simplify]: Simplify 1 into 1
1553948567.484 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.484 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.484 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.484 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948567.484 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948567.484 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948567.484 * [taylor]: Taking taylor expansion of -2 in k
1553948567.484 * [backup-simplify]: Simplify -2 into -2
1553948567.484 * [taylor]: Taking taylor expansion of PI in k
1553948567.484 * [backup-simplify]: Simplify PI into PI
1553948567.484 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.485 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.485 * [taylor]: Taking taylor expansion of (log n) in k
1553948567.485 * [taylor]: Taking taylor expansion of n in k
1553948567.485 * [backup-simplify]: Simplify n into n
1553948567.485 * [backup-simplify]: Simplify (log n) into (log n)
1553948567.485 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.486 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.486 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948567.487 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948567.488 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948567.489 * [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))))
1553948567.490 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1553948567.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.492 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948567.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948567.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948567.494 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948567.495 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.496 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.497 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948567.499 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948567.499 * [taylor]: Taking taylor expansion of 0 in k
1553948567.499 * [backup-simplify]: Simplify 0 into 0
1553948567.499 * [backup-simplify]: Simplify 0 into 0
1553948567.499 * [backup-simplify]: Simplify 0 into 0
1553948567.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.502 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.505 * [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
1553948567.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948567.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948567.506 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.508 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.509 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948567.512 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948567.512 * [taylor]: Taking taylor expansion of 0 in k
1553948567.512 * [backup-simplify]: Simplify 0 into 0
1553948567.512 * [backup-simplify]: Simplify 0 into 0
1553948567.512 * [backup-simplify]: Simplify 0 into 0
1553948567.512 * [backup-simplify]: Simplify 0 into 0
1553948567.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.514 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.517 * [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
1553948567.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948567.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948567.518 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.520 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553948567.522 * [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
1553948567.522 * [taylor]: Taking taylor expansion of 0 in k
1553948567.522 * [backup-simplify]: Simplify 0 into 0
1553948567.522 * [backup-simplify]: Simplify 0 into 0
1553948567.522 * [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)))))
1553948567.523 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553948567.523 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553948567.523 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553948567.523 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.523 * [taylor]: Taking taylor expansion of 2 in n
1553948567.523 * [backup-simplify]: Simplify 2 into 2
1553948567.523 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.523 * [taylor]: Taking taylor expansion of n in n
1553948567.523 * [backup-simplify]: Simplify 0 into 0
1553948567.523 * [backup-simplify]: Simplify 1 into 1
1553948567.523 * [taylor]: Taking taylor expansion of PI in n
1553948567.523 * [backup-simplify]: Simplify PI into PI
1553948567.523 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.523 * [taylor]: Taking taylor expansion of 2 in n
1553948567.523 * [backup-simplify]: Simplify 2 into 2
1553948567.523 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.523 * [taylor]: Taking taylor expansion of n in n
1553948567.523 * [backup-simplify]: Simplify 0 into 0
1553948567.523 * [backup-simplify]: Simplify 1 into 1
1553948567.523 * [taylor]: Taking taylor expansion of PI in n
1553948567.523 * [backup-simplify]: Simplify PI into PI
1553948567.523 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.524 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.524 * [backup-simplify]: Simplify 0 into 0
1553948567.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.526 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.526 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948567.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948567.527 * [backup-simplify]: Simplify 0 into 0
1553948567.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.528 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948567.528 * [backup-simplify]: Simplify 0 into 0
1553948567.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948567.530 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553948567.530 * [backup-simplify]: Simplify 0 into 0
1553948567.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948567.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553948567.532 * [backup-simplify]: Simplify 0 into 0
1553948567.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948567.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553948567.534 * [backup-simplify]: Simplify 0 into 0
1553948567.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553948567.536 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553948567.536 * [backup-simplify]: Simplify 0 into 0
1553948567.536 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553948567.536 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553948567.536 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553948567.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.536 * [taylor]: Taking taylor expansion of 2 in n
1553948567.536 * [backup-simplify]: Simplify 2 into 2
1553948567.537 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.537 * [taylor]: Taking taylor expansion of PI in n
1553948567.537 * [backup-simplify]: Simplify PI into PI
1553948567.537 * [taylor]: Taking taylor expansion of n in n
1553948567.537 * [backup-simplify]: Simplify 0 into 0
1553948567.537 * [backup-simplify]: Simplify 1 into 1
1553948567.537 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.537 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.537 * [taylor]: Taking taylor expansion of 2 in n
1553948567.537 * [backup-simplify]: Simplify 2 into 2
1553948567.537 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.537 * [taylor]: Taking taylor expansion of PI in n
1553948567.537 * [backup-simplify]: Simplify PI into PI
1553948567.537 * [taylor]: Taking taylor expansion of n in n
1553948567.537 * [backup-simplify]: Simplify 0 into 0
1553948567.537 * [backup-simplify]: Simplify 1 into 1
1553948567.537 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.538 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.538 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.539 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948567.539 * [backup-simplify]: Simplify 0 into 0
1553948567.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.540 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.540 * [backup-simplify]: Simplify 0 into 0
1553948567.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.542 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.542 * [backup-simplify]: Simplify 0 into 0
1553948567.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.543 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948567.543 * [backup-simplify]: Simplify 0 into 0
1553948567.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948567.544 * [backup-simplify]: Simplify 0 into 0
1553948567.545 * [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
1553948567.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948567.546 * [backup-simplify]: Simplify 0 into 0
1553948567.546 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553948567.546 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553948567.546 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553948567.546 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.546 * [taylor]: Taking taylor expansion of -2 in n
1553948567.546 * [backup-simplify]: Simplify -2 into -2
1553948567.546 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.546 * [taylor]: Taking taylor expansion of PI in n
1553948567.546 * [backup-simplify]: Simplify PI into PI
1553948567.546 * [taylor]: Taking taylor expansion of n in n
1553948567.546 * [backup-simplify]: Simplify 0 into 0
1553948567.546 * [backup-simplify]: Simplify 1 into 1
1553948567.547 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.547 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.547 * [taylor]: Taking taylor expansion of -2 in n
1553948567.547 * [backup-simplify]: Simplify -2 into -2
1553948567.547 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.547 * [taylor]: Taking taylor expansion of PI in n
1553948567.547 * [backup-simplify]: Simplify PI into PI
1553948567.547 * [taylor]: Taking taylor expansion of n in n
1553948567.547 * [backup-simplify]: Simplify 0 into 0
1553948567.547 * [backup-simplify]: Simplify 1 into 1
1553948567.547 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.547 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.548 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.549 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948567.549 * [backup-simplify]: Simplify 0 into 0
1553948567.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.550 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.550 * [backup-simplify]: Simplify 0 into 0
1553948567.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.551 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.551 * [backup-simplify]: Simplify 0 into 0
1553948567.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.552 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948567.552 * [backup-simplify]: Simplify 0 into 0
1553948567.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.554 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948567.554 * [backup-simplify]: Simplify 0 into 0
1553948567.554 * [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
1553948567.555 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948567.555 * [backup-simplify]: Simplify 0 into 0
1553948567.556 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553948567.556 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
1553948567.556 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1553948567.556 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1553948567.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948567.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.556 * [taylor]: Taking taylor expansion of k in k
1553948567.556 * [backup-simplify]: Simplify 0 into 0
1553948567.556 * [backup-simplify]: Simplify 1 into 1
1553948567.556 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.557 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.558 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948567.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.558 * [taylor]: Taking taylor expansion of k in k
1553948567.558 * [backup-simplify]: Simplify 0 into 0
1553948567.558 * [backup-simplify]: Simplify 1 into 1
1553948567.558 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.559 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.560 * [backup-simplify]: Simplify 0 into 0
1553948567.560 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948567.563 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.563 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.568 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.568 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1553948567.568 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1553948567.568 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
1553948567.568 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948567.568 * [taylor]: Taking taylor expansion of k in k
1553948567.568 * [backup-simplify]: Simplify 0 into 0
1553948567.568 * [backup-simplify]: Simplify 1 into 1
1553948567.569 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.569 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.569 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948567.569 * [taylor]: Taking taylor expansion of k in k
1553948567.569 * [backup-simplify]: Simplify 0 into 0
1553948567.570 * [backup-simplify]: Simplify 1 into 1
1553948567.570 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.571 * [backup-simplify]: Simplify 0 into 0
1553948567.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.572 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.572 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.575 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.575 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1553948567.575 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1553948567.575 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1553948567.575 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1553948567.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948567.575 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948567.575 * [taylor]: Taking taylor expansion of -1 in k
1553948567.575 * [backup-simplify]: Simplify -1 into -1
1553948567.575 * [taylor]: Taking taylor expansion of k in k
1553948567.575 * [backup-simplify]: Simplify 0 into 0
1553948567.575 * [backup-simplify]: Simplify 1 into 1
1553948567.576 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948567.576 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.577 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948567.577 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1553948567.577 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1553948567.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948567.577 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948567.577 * [taylor]: Taking taylor expansion of -1 in k
1553948567.577 * [backup-simplify]: Simplify -1 into -1
1553948567.577 * [taylor]: Taking taylor expansion of k in k
1553948567.577 * [backup-simplify]: Simplify 0 into 0
1553948567.577 * [backup-simplify]: Simplify 1 into 1
1553948567.577 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948567.578 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.578 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948567.579 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1553948567.579 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553948567.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.584 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1553948567.585 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1553948567.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.590 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1553948567.590 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1553948567.591 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1553948567.591 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1553948567.591 * [backup-simplify]: Simplify (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k)))
1553948567.591 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0
1553948567.591 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
1553948567.591 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948567.591 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948567.591 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948567.591 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948567.591 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.591 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.591 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948567.591 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.591 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.591 * [taylor]: Taking taylor expansion of k in n
1553948567.591 * [backup-simplify]: Simplify k into k
1553948567.591 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.591 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.591 * [taylor]: Taking taylor expansion of 2 in n
1553948567.591 * [backup-simplify]: Simplify 2 into 2
1553948567.591 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.591 * [taylor]: Taking taylor expansion of n in n
1553948567.591 * [backup-simplify]: Simplify 0 into 0
1553948567.591 * [backup-simplify]: Simplify 1 into 1
1553948567.591 * [taylor]: Taking taylor expansion of PI in n
1553948567.591 * [backup-simplify]: Simplify PI into PI
1553948567.591 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.592 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.594 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.594 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.594 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948567.594 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948567.594 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948567.595 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.596 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948567.596 * [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)))))
1553948567.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948567.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.596 * [taylor]: Taking taylor expansion of k in n
1553948567.596 * [backup-simplify]: Simplify k into k
1553948567.596 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.597 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948567.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948567.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948567.597 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553948567.597 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948567.597 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948567.597 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948567.597 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948567.597 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.597 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.597 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948567.597 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.597 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.597 * [taylor]: Taking taylor expansion of k in k
1553948567.597 * [backup-simplify]: Simplify 0 into 0
1553948567.597 * [backup-simplify]: Simplify 1 into 1
1553948567.597 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948567.597 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948567.597 * [taylor]: Taking taylor expansion of 2 in k
1553948567.597 * [backup-simplify]: Simplify 2 into 2
1553948567.597 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948567.597 * [taylor]: Taking taylor expansion of n in k
1553948567.597 * [backup-simplify]: Simplify n into n
1553948567.597 * [taylor]: Taking taylor expansion of PI in k
1553948567.597 * [backup-simplify]: Simplify PI into PI
1553948567.597 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948567.597 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948567.597 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948567.597 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948567.598 * [backup-simplify]: Simplify (- 0) into 0
1553948567.598 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.598 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948567.598 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948567.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948567.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.598 * [taylor]: Taking taylor expansion of k in k
1553948567.598 * [backup-simplify]: Simplify 0 into 0
1553948567.598 * [backup-simplify]: Simplify 1 into 1
1553948567.598 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.599 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.599 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.599 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553948567.599 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948567.599 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948567.600 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948567.600 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948567.600 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.600 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.600 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948567.600 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.600 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.600 * [taylor]: Taking taylor expansion of k in k
1553948567.600 * [backup-simplify]: Simplify 0 into 0
1553948567.600 * [backup-simplify]: Simplify 1 into 1
1553948567.600 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948567.600 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948567.600 * [taylor]: Taking taylor expansion of 2 in k
1553948567.600 * [backup-simplify]: Simplify 2 into 2
1553948567.600 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948567.600 * [taylor]: Taking taylor expansion of n in k
1553948567.600 * [backup-simplify]: Simplify n into n
1553948567.600 * [taylor]: Taking taylor expansion of PI in k
1553948567.600 * [backup-simplify]: Simplify PI into PI
1553948567.600 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948567.600 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948567.600 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948567.600 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948567.600 * [backup-simplify]: Simplify (- 0) into 0
1553948567.601 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.601 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948567.601 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948567.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948567.601 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.601 * [taylor]: Taking taylor expansion of k in k
1553948567.601 * [backup-simplify]: Simplify 0 into 0
1553948567.601 * [backup-simplify]: Simplify 1 into 1
1553948567.601 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.601 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.602 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1553948567.602 * [taylor]: Taking taylor expansion of 0 in n
1553948567.602 * [backup-simplify]: Simplify 0 into 0
1553948567.602 * [backup-simplify]: Simplify 0 into 0
1553948567.603 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553948567.603 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553948567.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553948567.604 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948567.604 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.605 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553948567.605 * [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)))))
1553948567.606 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1553948567.606 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948567.606 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948567.606 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.606 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.606 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948567.606 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.606 * [taylor]: Taking taylor expansion of 2 in n
1553948567.606 * [backup-simplify]: Simplify 2 into 2
1553948567.606 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.607 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.607 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.607 * [taylor]: Taking taylor expansion of n in n
1553948567.607 * [backup-simplify]: Simplify 0 into 0
1553948567.607 * [backup-simplify]: Simplify 1 into 1
1553948567.607 * [taylor]: Taking taylor expansion of PI in n
1553948567.607 * [backup-simplify]: Simplify PI into PI
1553948567.607 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.609 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.609 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.610 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.611 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948567.611 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.611 * [backup-simplify]: Simplify (- 0) into 0
1553948567.611 * [backup-simplify]: Simplify 0 into 0
1553948567.611 * [backup-simplify]: Simplify 0 into 0
1553948567.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948567.615 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.616 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553948567.616 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553948567.618 * [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
1553948567.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948567.620 * [backup-simplify]: Simplify (- 0) into 0
1553948567.620 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553948567.622 * [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)))
1553948567.623 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1553948567.623 * [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
1553948567.623 * [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
1553948567.623 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948567.623 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.623 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.623 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948567.623 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948567.623 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.623 * [taylor]: Taking taylor expansion of 2 in n
1553948567.623 * [backup-simplify]: Simplify 2 into 2
1553948567.624 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.624 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.624 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.624 * [taylor]: Taking taylor expansion of 2 in n
1553948567.624 * [backup-simplify]: Simplify 2 into 2
1553948567.624 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.624 * [taylor]: Taking taylor expansion of n in n
1553948567.624 * [backup-simplify]: Simplify 0 into 0
1553948567.624 * [backup-simplify]: Simplify 1 into 1
1553948567.624 * [taylor]: Taking taylor expansion of PI in n
1553948567.625 * [backup-simplify]: Simplify PI into PI
1553948567.625 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.625 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.629 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.630 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.630 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.630 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.630 * [taylor]: Taking taylor expansion of n in n
1553948567.630 * [backup-simplify]: Simplify 0 into 0
1553948567.630 * [backup-simplify]: Simplify 1 into 1
1553948567.630 * [taylor]: Taking taylor expansion of PI in n
1553948567.630 * [backup-simplify]: Simplify PI into PI
1553948567.630 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.632 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.634 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948567.634 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948567.634 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.634 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.634 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948567.634 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.634 * [taylor]: Taking taylor expansion of 2 in n
1553948567.634 * [backup-simplify]: Simplify 2 into 2
1553948567.634 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.635 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.635 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.635 * [taylor]: Taking taylor expansion of n in n
1553948567.635 * [backup-simplify]: Simplify 0 into 0
1553948567.635 * [backup-simplify]: Simplify 1 into 1
1553948567.635 * [taylor]: Taking taylor expansion of PI in n
1553948567.635 * [backup-simplify]: Simplify PI into PI
1553948567.636 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.638 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.639 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.640 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.642 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948567.643 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948567.644 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.644 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948567.645 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.645 * [backup-simplify]: Simplify (- 0) into 0
1553948567.646 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.646 * [backup-simplify]: Simplify (- 0) into 0
1553948567.646 * [backup-simplify]: Simplify 0 into 0
1553948567.650 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.655 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.659 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.662 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.662 * [backup-simplify]: Simplify 0 into 0
1553948567.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.668 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948567.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553948567.672 * [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
1553948567.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553948567.674 * [backup-simplify]: Simplify (- 0) into 0
1553948567.674 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553948567.677 * [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)))
1553948567.679 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
1553948567.679 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
1553948567.679 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
1553948567.679 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948567.679 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.679 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.679 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948567.679 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948567.679 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.679 * [taylor]: Taking taylor expansion of 2 in n
1553948567.679 * [backup-simplify]: Simplify 2 into 2
1553948567.680 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.680 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.680 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.680 * [taylor]: Taking taylor expansion of 2 in n
1553948567.680 * [backup-simplify]: Simplify 2 into 2
1553948567.680 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.680 * [taylor]: Taking taylor expansion of n in n
1553948567.680 * [backup-simplify]: Simplify 0 into 0
1553948567.680 * [backup-simplify]: Simplify 1 into 1
1553948567.680 * [taylor]: Taking taylor expansion of PI in n
1553948567.680 * [backup-simplify]: Simplify PI into PI
1553948567.681 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.681 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.684 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.685 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.685 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.685 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.685 * [taylor]: Taking taylor expansion of n in n
1553948567.685 * [backup-simplify]: Simplify 0 into 0
1553948567.685 * [backup-simplify]: Simplify 1 into 1
1553948567.685 * [taylor]: Taking taylor expansion of PI in n
1553948567.685 * [backup-simplify]: Simplify PI into PI
1553948567.686 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.687 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.688 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.689 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.689 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
1553948567.689 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
1553948567.689 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948567.689 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.689 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.689 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948567.689 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.689 * [taylor]: Taking taylor expansion of 2 in n
1553948567.689 * [backup-simplify]: Simplify 2 into 2
1553948567.689 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.690 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.690 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.690 * [taylor]: Taking taylor expansion of n in n
1553948567.690 * [backup-simplify]: Simplify 0 into 0
1553948567.690 * [backup-simplify]: Simplify 1 into 1
1553948567.690 * [taylor]: Taking taylor expansion of PI in n
1553948567.690 * [backup-simplify]: Simplify PI into PI
1553948567.690 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.691 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.692 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1553948567.692 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553948567.692 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.692 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.692 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553948567.692 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553948567.692 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948567.692 * [taylor]: Taking taylor expansion of 2 in n
1553948567.692 * [backup-simplify]: Simplify 2 into 2
1553948567.693 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948567.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948567.693 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553948567.693 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948567.693 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948567.693 * [taylor]: Taking taylor expansion of 2 in n
1553948567.693 * [backup-simplify]: Simplify 2 into 2
1553948567.693 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.693 * [taylor]: Taking taylor expansion of n in n
1553948567.693 * [backup-simplify]: Simplify 0 into 0
1553948567.693 * [backup-simplify]: Simplify 1 into 1
1553948567.693 * [taylor]: Taking taylor expansion of PI in n
1553948567.693 * [backup-simplify]: Simplify PI into PI
1553948567.693 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.694 * [backup-simplify]: Simplify (* 2 0) into 0
1553948567.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.695 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948567.696 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.697 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.697 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948567.697 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948567.697 * [taylor]: Taking taylor expansion of n in n
1553948567.697 * [backup-simplify]: Simplify 0 into 0
1553948567.697 * [backup-simplify]: Simplify 1 into 1
1553948567.697 * [taylor]: Taking taylor expansion of PI in n
1553948567.697 * [backup-simplify]: Simplify PI into PI
1553948567.697 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948567.698 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948567.698 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.699 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948567.700 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.701 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948567.702 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948567.704 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.704 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948567.704 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.705 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.706 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.707 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553948567.708 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553948567.709 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553948567.709 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948567.710 * [backup-simplify]: Simplify (- 0) into 0
1553948567.710 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.710 * [backup-simplify]: Simplify (- 0) into 0
1553948567.710 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.711 * [backup-simplify]: Simplify (- 0) into 0
1553948567.711 * [backup-simplify]: Simplify 0 into 0
1553948567.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948567.712 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948567.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948567.714 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948567.715 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948567.716 * [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))))))))
1553948567.722 * [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))))))))
1553948567.726 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.731 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.734 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948567.743 * [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))))))))))
1553948567.748 * [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)))))))
1553948567.753 * [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)))))))
1553948567.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948567.756 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553948567.756 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553948567.759 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948567.764 * [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))))
1553948567.767 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948567.768 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948567.776 * [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)))))))))))))
1553948567.777 * [backup-simplify]: Simplify (/ (/ 1 (sqrt (/ 1 k))) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
1553948567.777 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0
1553948567.777 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
1553948567.777 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.777 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.777 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.777 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.777 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.777 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.777 * [taylor]: Taking taylor expansion of k in n
1553948567.777 * [backup-simplify]: Simplify k into k
1553948567.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.777 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.777 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.777 * [taylor]: Taking taylor expansion of 2 in n
1553948567.777 * [backup-simplify]: Simplify 2 into 2
1553948567.777 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.777 * [taylor]: Taking taylor expansion of PI in n
1553948567.777 * [backup-simplify]: Simplify PI into PI
1553948567.777 * [taylor]: Taking taylor expansion of n in n
1553948567.777 * [backup-simplify]: Simplify 0 into 0
1553948567.777 * [backup-simplify]: Simplify 1 into 1
1553948567.778 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.778 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.779 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.779 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.779 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.780 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.781 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.782 * [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)))
1553948567.783 * [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))))
1553948567.783 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948567.783 * [taylor]: Taking taylor expansion of k in n
1553948567.783 * [backup-simplify]: Simplify k into k
1553948567.783 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948567.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948567.783 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553948567.783 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948567.784 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948567.784 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948567.784 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948567.784 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.784 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.784 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.784 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.784 * [taylor]: Taking taylor expansion of k in k
1553948567.784 * [backup-simplify]: Simplify 0 into 0
1553948567.784 * [backup-simplify]: Simplify 1 into 1
1553948567.784 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.784 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948567.784 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948567.784 * [taylor]: Taking taylor expansion of 2 in k
1553948567.784 * [backup-simplify]: Simplify 2 into 2
1553948567.784 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.784 * [taylor]: Taking taylor expansion of PI in k
1553948567.784 * [backup-simplify]: Simplify PI into PI
1553948567.784 * [taylor]: Taking taylor expansion of n in k
1553948567.784 * [backup-simplify]: Simplify n into n
1553948567.785 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.785 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948567.785 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948567.785 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.785 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.786 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.786 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948567.786 * [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))))
1553948567.786 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948567.786 * [taylor]: Taking taylor expansion of k in k
1553948567.786 * [backup-simplify]: Simplify 0 into 0
1553948567.786 * [backup-simplify]: Simplify 1 into 1
1553948567.787 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.788 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553948567.788 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948567.788 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948567.788 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948567.788 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948567.788 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.788 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.788 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.788 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.788 * [taylor]: Taking taylor expansion of k in k
1553948567.788 * [backup-simplify]: Simplify 0 into 0
1553948567.789 * [backup-simplify]: Simplify 1 into 1
1553948567.789 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.789 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948567.789 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948567.789 * [taylor]: Taking taylor expansion of 2 in k
1553948567.789 * [backup-simplify]: Simplify 2 into 2
1553948567.789 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.789 * [taylor]: Taking taylor expansion of PI in k
1553948567.789 * [backup-simplify]: Simplify PI into PI
1553948567.789 * [taylor]: Taking taylor expansion of n in k
1553948567.789 * [backup-simplify]: Simplify n into n
1553948567.789 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.789 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948567.789 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948567.790 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.790 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948567.791 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948567.791 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948567.791 * [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))))
1553948567.791 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948567.791 * [taylor]: Taking taylor expansion of k in k
1553948567.791 * [backup-simplify]: Simplify 0 into 0
1553948567.791 * [backup-simplify]: Simplify 1 into 1
1553948567.792 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948567.793 * [backup-simplify]: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
1553948567.793 * [taylor]: Taking taylor expansion of 0 in n
1553948567.793 * [backup-simplify]: Simplify 0 into 0
1553948567.793 * [backup-simplify]: Simplify 0 into 0
1553948567.794 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948567.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948567.794 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948567.794 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.794 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.794 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.794 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.794 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.794 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.794 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.794 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.794 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.794 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.794 * [taylor]: Taking taylor expansion of k in n
1553948567.794 * [backup-simplify]: Simplify k into k
1553948567.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.794 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.794 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.794 * [taylor]: Taking taylor expansion of 2 in n
1553948567.794 * [backup-simplify]: Simplify 2 into 2
1553948567.794 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.794 * [taylor]: Taking taylor expansion of PI in n
1553948567.794 * [backup-simplify]: Simplify PI into PI
1553948567.794 * [taylor]: Taking taylor expansion of n in n
1553948567.794 * [backup-simplify]: Simplify 0 into 0
1553948567.794 * [backup-simplify]: Simplify 1 into 1
1553948567.794 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.795 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.795 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.795 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.795 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.795 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.797 * [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)))
1553948567.797 * [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))))
1553948567.798 * [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)))))
1553948567.799 * [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))))))
1553948567.800 * [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))))))
1553948567.800 * [backup-simplify]: Simplify 0 into 0
1553948567.801 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.802 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948567.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948567.802 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948567.802 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.802 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.802 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.802 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.802 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.802 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.802 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.802 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.802 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.802 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.802 * [taylor]: Taking taylor expansion of k in n
1553948567.802 * [backup-simplify]: Simplify k into k
1553948567.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.802 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.802 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.802 * [taylor]: Taking taylor expansion of 2 in n
1553948567.802 * [backup-simplify]: Simplify 2 into 2
1553948567.802 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.802 * [taylor]: Taking taylor expansion of PI in n
1553948567.802 * [backup-simplify]: Simplify PI into PI
1553948567.802 * [taylor]: Taking taylor expansion of n in n
1553948567.802 * [backup-simplify]: Simplify 0 into 0
1553948567.802 * [backup-simplify]: Simplify 1 into 1
1553948567.803 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.805 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.806 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.806 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.806 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.806 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.807 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.807 * [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)))
1553948567.808 * [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))))
1553948567.809 * [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)))))
1553948567.809 * [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))))))
1553948567.810 * [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))))))
1553948567.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.811 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948567.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948567.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948567.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948567.813 * [backup-simplify]: Simplify (- 0) into 0
1553948567.813 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.814 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.815 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948567.816 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948567.817 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553948567.817 * [backup-simplify]: Simplify (- 0) into 0
1553948567.817 * [backup-simplify]: Simplify 0 into 0
1553948567.818 * [backup-simplify]: Simplify 0 into 0
1553948567.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.821 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948567.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948567.821 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948567.821 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.821 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.821 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948567.821 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948567.821 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948567.821 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948567.821 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.821 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.821 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.821 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.821 * [taylor]: Taking taylor expansion of k in n
1553948567.821 * [backup-simplify]: Simplify k into k
1553948567.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.821 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948567.821 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948567.821 * [taylor]: Taking taylor expansion of 2 in n
1553948567.821 * [backup-simplify]: Simplify 2 into 2
1553948567.821 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.821 * [taylor]: Taking taylor expansion of PI in n
1553948567.821 * [backup-simplify]: Simplify PI into PI
1553948567.821 * [taylor]: Taking taylor expansion of n in n
1553948567.821 * [backup-simplify]: Simplify 0 into 0
1553948567.821 * [backup-simplify]: Simplify 1 into 1
1553948567.821 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948567.822 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948567.822 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.822 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948567.822 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948567.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948567.824 * [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)))
1553948567.825 * [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))))
1553948567.825 * [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)))))
1553948567.826 * [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))))))
1553948567.827 * [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))))))
1553948567.829 * [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))))))))
1553948567.829 * [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)))
1553948567.829 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1553948567.829 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553948567.829 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.829 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948567.830 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948567.830 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.830 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.830 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.830 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.830 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.830 * [taylor]: Taking taylor expansion of k in n
1553948567.830 * [backup-simplify]: Simplify k into k
1553948567.830 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.830 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.830 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.830 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.830 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.830 * [taylor]: Taking taylor expansion of -2 in n
1553948567.830 * [backup-simplify]: Simplify -2 into -2
1553948567.830 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.830 * [taylor]: Taking taylor expansion of PI in n
1553948567.830 * [backup-simplify]: Simplify PI into PI
1553948567.830 * [taylor]: Taking taylor expansion of n in n
1553948567.830 * [backup-simplify]: Simplify 0 into 0
1553948567.830 * [backup-simplify]: Simplify 1 into 1
1553948567.830 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.831 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.831 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.831 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.831 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.833 * [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)))
1553948567.834 * [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))))
1553948567.834 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553948567.834 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553948567.834 * [taylor]: Taking taylor expansion of -1 in n
1553948567.834 * [backup-simplify]: Simplify -1 into -1
1553948567.834 * [taylor]: Taking taylor expansion of k in n
1553948567.834 * [backup-simplify]: Simplify k into k
1553948567.834 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553948567.834 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553948567.834 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553948567.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553948567.835 * [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)))
1553948567.835 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553948567.835 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948567.835 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948567.835 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948567.835 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948567.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.835 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.835 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.835 * [taylor]: Taking taylor expansion of k in k
1553948567.835 * [backup-simplify]: Simplify 0 into 0
1553948567.835 * [backup-simplify]: Simplify 1 into 1
1553948567.835 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.835 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.835 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.835 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948567.835 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948567.835 * [taylor]: Taking taylor expansion of -2 in k
1553948567.835 * [backup-simplify]: Simplify -2 into -2
1553948567.835 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.835 * [taylor]: Taking taylor expansion of PI in k
1553948567.835 * [backup-simplify]: Simplify PI into PI
1553948567.835 * [taylor]: Taking taylor expansion of n in k
1553948567.835 * [backup-simplify]: Simplify n into n
1553948567.835 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.835 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948567.835 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948567.836 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.836 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.836 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948567.836 * [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)))
1553948567.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948567.836 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948567.836 * [taylor]: Taking taylor expansion of -1 in k
1553948567.836 * [backup-simplify]: Simplify -1 into -1
1553948567.836 * [taylor]: Taking taylor expansion of k in k
1553948567.836 * [backup-simplify]: Simplify 0 into 0
1553948567.836 * [backup-simplify]: Simplify 1 into 1
1553948567.837 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948567.837 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.838 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948567.838 * [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))))
1553948567.838 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553948567.838 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948567.838 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948567.838 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948567.838 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948567.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948567.838 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.838 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948567.838 * [taylor]: Taking taylor expansion of k in k
1553948567.838 * [backup-simplify]: Simplify 0 into 0
1553948567.838 * [backup-simplify]: Simplify 1 into 1
1553948567.838 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948567.838 * [taylor]: Taking taylor expansion of 1/2 in k
1553948567.838 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.838 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948567.838 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948567.838 * [taylor]: Taking taylor expansion of -2 in k
1553948567.838 * [backup-simplify]: Simplify -2 into -2
1553948567.838 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948567.838 * [taylor]: Taking taylor expansion of PI in k
1553948567.838 * [backup-simplify]: Simplify PI into PI
1553948567.838 * [taylor]: Taking taylor expansion of n in k
1553948567.838 * [backup-simplify]: Simplify n into n
1553948567.839 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948567.839 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948567.839 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948567.839 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948567.839 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948567.839 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948567.839 * [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)))
1553948567.839 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553948567.839 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553948567.839 * [taylor]: Taking taylor expansion of -1 in k
1553948567.839 * [backup-simplify]: Simplify -1 into -1
1553948567.839 * [taylor]: Taking taylor expansion of k in k
1553948567.839 * [backup-simplify]: Simplify 0 into 0
1553948567.839 * [backup-simplify]: Simplify 1 into 1
1553948567.840 * [backup-simplify]: Simplify (/ -1 1) into -1
1553948567.840 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948567.841 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948567.841 * [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))))
1553948567.841 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948567.842 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.842 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.842 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948567.842 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.842 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.842 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.842 * [taylor]: Taking taylor expansion of -2 in n
1553948567.842 * [backup-simplify]: Simplify -2 into -2
1553948567.842 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.842 * [taylor]: Taking taylor expansion of PI in n
1553948567.842 * [backup-simplify]: Simplify PI into PI
1553948567.842 * [taylor]: Taking taylor expansion of n in n
1553948567.842 * [backup-simplify]: Simplify 0 into 0
1553948567.842 * [backup-simplify]: Simplify 1 into 1
1553948567.842 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.843 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.844 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.844 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.844 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.844 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.844 * [taylor]: Taking taylor expansion of k in n
1553948567.844 * [backup-simplify]: Simplify k into k
1553948567.844 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.844 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.844 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.846 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.846 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.846 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.847 * [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)))
1553948567.848 * [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))))
1553948567.849 * [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)))))
1553948567.850 * [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)))))
1553948567.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553948567.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948567.855 * [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)))))
1553948567.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948567.856 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948567.856 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.856 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.856 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948567.856 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.856 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.856 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.856 * [taylor]: Taking taylor expansion of -2 in n
1553948567.856 * [backup-simplify]: Simplify -2 into -2
1553948567.856 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.856 * [taylor]: Taking taylor expansion of PI in n
1553948567.856 * [backup-simplify]: Simplify PI into PI
1553948567.856 * [taylor]: Taking taylor expansion of n in n
1553948567.856 * [backup-simplify]: Simplify 0 into 0
1553948567.856 * [backup-simplify]: Simplify 1 into 1
1553948567.856 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.857 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.858 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.858 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.858 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.858 * [taylor]: Taking taylor expansion of k in n
1553948567.858 * [backup-simplify]: Simplify k into k
1553948567.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.858 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.858 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.860 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.860 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.860 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.861 * [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)))
1553948567.862 * [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))))
1553948567.863 * [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)))))
1553948567.864 * [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))))))
1553948567.866 * [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))))))
1553948567.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948567.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948567.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948567.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948567.870 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948567.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948567.873 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553948567.875 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948567.877 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553948567.877 * [backup-simplify]: Simplify 0 into 0
1553948567.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948567.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948567.884 * [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)))))
1553948567.884 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948567.884 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948567.884 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948567.884 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948567.884 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948567.884 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948567.884 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948567.884 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948567.884 * [taylor]: Taking taylor expansion of -2 in n
1553948567.884 * [backup-simplify]: Simplify -2 into -2
1553948567.884 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948567.884 * [taylor]: Taking taylor expansion of PI in n
1553948567.884 * [backup-simplify]: Simplify PI into PI
1553948567.884 * [taylor]: Taking taylor expansion of n in n
1553948567.884 * [backup-simplify]: Simplify 0 into 0
1553948567.884 * [backup-simplify]: Simplify 1 into 1
1553948567.885 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948567.885 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948567.886 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948567.886 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948567.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948567.886 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.886 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948567.887 * [taylor]: Taking taylor expansion of k in n
1553948567.887 * [backup-simplify]: Simplify k into k
1553948567.887 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948567.887 * [taylor]: Taking taylor expansion of 1/2 in n
1553948567.887 * [backup-simplify]: Simplify 1/2 into 1/2
1553948567.888 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948567.888 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948567.888 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948567.889 * [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)))
1553948567.891 * [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))))
1553948567.892 * [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)))))
1553948567.893 * [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))))))
1553948567.894 * [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))))))
1553948567.898 * [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)))))))))))
1553948567.899 * * * [progress]: simplifying candidates
1553948567.899 * * * * [progress]: [ 1 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948567.899 * * * * [progress]: [ 2 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948567.899 * * * * [progress]: [ 3 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948567.899 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553948567.899 * * [simplify]: iters left: 6 (11 enodes)
1553948567.905 * * [simplify]: iters left: 5 (43 enodes)
1553948567.919 * * [simplify]: iters left: 4 (79 enodes)
1553948567.945 * * [simplify]: iters left: 3 (178 enodes)
1553948568.004 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.004 * * [simplify]: Extracting #1: cost 49 inf + 0
1553948568.004 * * [simplify]: Extracting #2: cost 115 inf + 1
1553948568.006 * * [simplify]: Extracting #3: cost 122 inf + 547
1553948568.008 * * [simplify]: Extracting #4: cost 98 inf + 3382
1553948568.013 * * [simplify]: Extracting #5: cost 29 inf + 17882
1553948568.019 * * [simplify]: Extracting #6: cost 1 inf + 26098
1553948568.028 * * [simplify]: Extracting #7: cost 0 inf + 26523
1553948568.034 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553948568.034 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553948568.034 * * * * [progress]: [ 4 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948568.034 * * * * [progress]: [ 5 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553948568.034 * [simplify]: Simplifying (* (* n 2) PI)
1553948568.034 * * [simplify]: iters left: 4 (5 enodes)
1553948568.036 * * [simplify]: iters left: 3 (19 enodes)
1553948568.039 * * [simplify]: iters left: 2 (27 enodes)
1553948568.043 * * [simplify]: iters left: 1 (32 enodes)
1553948568.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.047 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948568.047 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948568.047 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948568.047 * [simplify]: Simplified to (* (* n 2) PI)
1553948568.047 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553948568.047 * * * * [progress]: [ 6 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553948568.047 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948568.047 * * [simplify]: iters left: 5 (8 enodes)
1553948568.049 * * [simplify]: iters left: 4 (28 enodes)
1553948568.054 * * [simplify]: iters left: 3 (36 enodes)
1553948568.059 * * [simplify]: iters left: 2 (41 enodes)
1553948568.064 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.064 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948568.064 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948568.064 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948568.064 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948568.064 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948568.064 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948568.064 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))
1553948568.064 * * * * [progress]: [ 7 / 117 ] 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)))))))>
1553948568.065 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553948568.065 * * [simplify]: iters left: 5 (6 enodes)
1553948568.067 * * [simplify]: iters left: 4 (20 enodes)
1553948568.071 * * [simplify]: iters left: 3 (25 enodes)
1553948568.076 * * [simplify]: iters left: 2 (27 enodes)
1553948568.084 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.084 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948568.084 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948568.084 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948568.084 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948568.084 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948568.084 * * [simplify]: Extracting #6: cost 1 inf + 662
1553948568.085 * * [simplify]: Extracting #7: cost 0 inf + 825
1553948568.085 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553948568.085 * [simplify]: Simplified (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)))))))
1553948568.085 * * * * [progress]: [ 8 / 117 ] 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)))))))>
1553948568.086 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553948568.086 * * [simplify]: iters left: 5 (6 enodes)
1553948568.089 * * [simplify]: iters left: 4 (20 enodes)
1553948568.096 * * [simplify]: iters left: 3 (25 enodes)
1553948568.103 * * [simplify]: iters left: 2 (27 enodes)
1553948568.111 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.111 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948568.111 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948568.111 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948568.111 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948568.111 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948568.111 * * [simplify]: Extracting #6: cost 1 inf + 622
1553948568.112 * * [simplify]: Extracting #7: cost 0 inf + 745
1553948568.112 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553948568.112 * [simplify]: Simplified (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)))))))
1553948568.112 * * * * [progress]: [ 9 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948568.113 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553948568.113 * * [simplify]: iters left: 4 (5 enodes)
1553948568.116 * * [simplify]: iters left: 3 (17 enodes)
1553948568.122 * * [simplify]: iters left: 2 (22 enodes)
1553948568.129 * * [simplify]: iters left: 1 (24 enodes)
1553948568.132 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.132 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948568.132 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948568.132 * * [simplify]: Extracting #3: cost 1 inf + 458
1553948568.132 * * [simplify]: Extracting #4: cost 0 inf + 499
1553948568.133 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553948568.133 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1553948568.133 * * * * [progress]: [ 10 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948568.133 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948568.133 * * [simplify]: iters left: 5 (9 enodes)
1553948568.135 * * [simplify]: iters left: 4 (33 enodes)
1553948568.140 * * [simplify]: iters left: 3 (43 enodes)
1553948568.146 * * [simplify]: iters left: 2 (48 enodes)
1553948568.151 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.151 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948568.151 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948568.151 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948568.152 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948568.152 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948568.152 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948568.152 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948568.152 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1553948568.152 * * * * [progress]: [ 11 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948568.153 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948568.153 * * [simplify]: iters left: 5 (9 enodes)
1553948568.155 * * [simplify]: iters left: 4 (33 enodes)
1553948568.160 * * [simplify]: iters left: 3 (43 enodes)
1553948568.166 * * [simplify]: iters left: 2 (48 enodes)
1553948568.172 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.172 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948568.172 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948568.172 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948568.172 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948568.173 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948568.173 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948568.173 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948568.173 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1553948568.173 * * * * [progress]: [ 12 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553948568.173 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553948568.173 * * [simplify]: iters left: 5 (8 enodes)
1553948568.176 * * [simplify]: iters left: 4 (27 enodes)
1553948568.180 * * [simplify]: iters left: 3 (32 enodes)
1553948568.184 * * [simplify]: iters left: 2 (34 enodes)
1553948568.189 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.189 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948568.189 * * [simplify]: Extracting #2: cost 11 inf + 0
1553948568.190 * * [simplify]: Extracting #3: cost 12 inf + 3
1553948568.190 * * [simplify]: Extracting #4: cost 8 inf + 171
1553948568.190 * * [simplify]: Extracting #5: cost 1 inf + 918
1553948568.190 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553948568.190 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948568.190 * [simplify]: Simplified (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)))))))
1553948568.190 * * * * [progress]: [ 13 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553948568.190 * * * * [progress]: [ 14 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.190 * * * * [progress]: [ 15 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.190 * * * * [progress]: [ 16 / 117 ] 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))))))))>
1553948568.190 * * * * [progress]: [ 17 / 117 ] 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))))))))>
1553948568.191 * * * * [progress]: [ 18 / 117 ] 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))))))))>
1553948568.191 * * * * [progress]: [ 19 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948568.191 * * * * [progress]: [ 20 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.191 * * * * [progress]: [ 21 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 22 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 23 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 24 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 25 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 26 / 117 ] 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))))))>
1553948568.191 * * * * [progress]: [ 27 / 117 ] 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))))))>
1553948568.191 * * * * [progress]: [ 28 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 29 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 30 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 31 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 32 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 33 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 34 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 35 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.191 * * * * [progress]: [ 36 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- 1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.191 * [simplify]: Simplifying (- 1/2)
1553948568.191 * * [simplify]: iters left: 2 (2 enodes)
1553948568.193 * * [simplify]: iters left: 1 (7 enodes)
1553948568.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.194 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948568.194 * [simplify]: Simplified to -1/2
1553948568.194 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.194 * * * * [progress]: [ 37 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) (- 1)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.194 * [simplify]: Simplifying (- 1)
1553948568.194 * * [simplify]: iters left: 2 (2 enodes)
1553948568.196 * * [simplify]: iters left: 1 (9 enodes)
1553948568.197 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.198 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948568.198 * [simplify]: Simplified to -1
1553948568.198 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.198 * * * * [progress]: [ 38 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 39 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 40 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 41 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 42 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 43 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 44 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 45 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (- 1) (- (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 46 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 47 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 48 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.198 * * * * [progress]: [ 49 / 117 ] 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))))))>
1553948568.199 * [simplify]: Simplifying (cbrt (sqrt k))
1553948568.199 * * [simplify]: iters left: 2 (3 enodes)
1553948568.199 * * [simplify]: iters left: 1 (9 enodes)
1553948568.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.200 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948568.200 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948568.200 * * [simplify]: Extracting #3: cost 4 inf + 1
1553948568.200 * * [simplify]: Extracting #4: cost 0 inf + 325
1553948568.201 * [simplify]: Simplified to (cbrt (sqrt k))
1553948568.201 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.201 * * * * [progress]: [ 50 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.201 * [simplify]: Simplifying (sqrt (sqrt k))
1553948568.201 * * [simplify]: iters left: 2 (3 enodes)
1553948568.202 * * [simplify]: iters left: 1 (9 enodes)
1553948568.204 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.205 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948568.205 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948568.205 * * [simplify]: Extracting #3: cost 4 inf + 1
1553948568.205 * * [simplify]: Extracting #4: cost 0 inf + 245
1553948568.205 * [simplify]: Simplified to (sqrt (sqrt k))
1553948568.205 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.205 * * * * [progress]: [ 51 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.205 * [simplify]: Simplifying (sqrt k)
1553948568.205 * * [simplify]: iters left: 1 (2 enodes)
1553948568.206 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.206 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948568.206 * * [simplify]: Extracting #2: cost 2 inf + 1
1553948568.206 * * [simplify]: Extracting #3: cost 0 inf + 83
1553948568.206 * [simplify]: Simplified to (sqrt k)
1553948568.206 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.207 * * * * [progress]: [ 52 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948568.207 * * * * [progress]: [ 53 / 117 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.207 * * * * [progress]: [ 54 / 117 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.207 * * * * [progress]: [ 55 / 117 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553948568.207 * * * * [progress]: [ 56 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948568.207 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948568.207 * * [simplify]: iters left: 6 (16 enodes)
1553948568.217 * * [simplify]: iters left: 5 (64 enodes)
1553948568.228 * * [simplify]: iters left: 4 (126 enodes)
1553948568.252 * * [simplify]: iters left: 3 (326 enodes)
1553948568.368 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.368 * * [simplify]: Extracting #1: cost 31 inf + 0
1553948568.369 * * [simplify]: Extracting #2: cost 198 inf + 0
1553948568.370 * * [simplify]: Extracting #3: cost 274 inf + 186
1553948568.372 * * [simplify]: Extracting #4: cost 241 inf + 7231
1553948568.386 * * [simplify]: Extracting #5: cost 91 inf + 43764
1553948568.413 * * [simplify]: Extracting #6: cost 4 inf + 67693
1553948568.441 * * [simplify]: Extracting #7: cost 0 inf + 68485
1553948568.463 * [simplify]: Simplified to (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))
1553948568.463 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948568.463 * * * * [progress]: [ 57 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948568.463 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948568.463 * * [simplify]: iters left: 6 (16 enodes)
1553948568.468 * * [simplify]: iters left: 5 (64 enodes)
1553948568.481 * * [simplify]: iters left: 4 (126 enodes)
1553948568.521 * * [simplify]: iters left: 3 (326 enodes)
1553948568.681 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.681 * * [simplify]: Extracting #1: cost 31 inf + 0
1553948568.687 * * [simplify]: Extracting #2: cost 198 inf + 0
1553948568.689 * * [simplify]: Extracting #3: cost 274 inf + 186
1553948568.693 * * [simplify]: Extracting #4: cost 241 inf + 7231
1553948568.708 * * [simplify]: Extracting #5: cost 91 inf + 43764
1553948568.732 * * [simplify]: Extracting #6: cost 4 inf + 67693
1553948568.746 * * [simplify]: Extracting #7: cost 0 inf + 68485
1553948568.763 * [simplify]: Simplified to (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))
1553948568.764 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948568.764 * * * * [progress]: [ 58 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.764 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.764 * * [simplify]: iters left: 6 (16 enodes)
1553948568.772 * * [simplify]: iters left: 5 (58 enodes)
1553948568.789 * * [simplify]: iters left: 4 (87 enodes)
1553948568.820 * * [simplify]: iters left: 3 (177 enodes)
1553948568.880 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948568.880 * * [simplify]: Extracting #1: cost 22 inf + 0
1553948568.881 * * [simplify]: Extracting #2: cost 117 inf + 0
1553948568.881 * * [simplify]: Extracting #3: cost 151 inf + 2
1553948568.882 * * [simplify]: Extracting #4: cost 153 inf + 984
1553948568.883 * * [simplify]: Extracting #5: cost 114 inf + 6979
1553948568.886 * * [simplify]: Extracting #6: cost 46 inf + 21917
1553948568.892 * * [simplify]: Extracting #7: cost 0 inf + 33193
1553948568.901 * * [simplify]: Extracting #8: cost 0 inf + 33143
1553948568.910 * [simplify]: Simplified to (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))
1553948568.910 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* PI (* n 2))) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948568.911 * * * * [progress]: [ 59 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948568.911 * [simplify]: Simplifying (- (- (log (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948568.911 * * [simplify]: iters left: 6 (17 enodes)
1553948568.920 * * [simplify]: iters left: 5 (65 enodes)
1553948568.939 * * [simplify]: iters left: 4 (86 enodes)
1553948568.959 * * [simplify]: iters left: 3 (119 enodes)
1553948568.977 * * [simplify]: iters left: 2 (222 enodes)
1553948569.096 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948569.096 * * [simplify]: Extracting #1: cost 31 inf + 0
1553948569.097 * * [simplify]: Extracting #2: cost 154 inf + 0
1553948569.100 * * [simplify]: Extracting #3: cost 199 inf + 3
1553948569.101 * * [simplify]: Extracting #4: cost 199 inf + 987
1553948569.103 * * [simplify]: Extracting #5: cost 126 inf + 14233
1553948569.111 * * [simplify]: Extracting #6: cost 26 inf + 41276
1553948569.129 * * [simplify]: Extracting #7: cost 2 inf + 47043
1553948569.139 * * [simplify]: Extracting #8: cost 0 inf + 47677
1553948569.149 * [simplify]: Simplified to (- (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k))))
1553948569.149 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (+ -1/2 (/ k 2)) (log (* (* n 2) PI)) (log (sqrt k))))))
1553948569.149 * * * * [progress]: [ 60 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948569.149 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948569.149 * * [simplify]: iters left: 6 (17 enodes)
1553948569.154 * * [simplify]: iters left: 5 (73 enodes)
1553948569.170 * * [simplify]: iters left: 4 (139 enodes)
1553948569.219 * * [simplify]: iters left: 3 (336 enodes)
1553948569.328 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948569.328 * * [simplify]: Extracting #1: cost 31 inf + 0
1553948569.329 * * [simplify]: Extracting #2: cost 198 inf + 1
1553948569.331 * * [simplify]: Extracting #3: cost 277 inf + 75
1553948569.334 * * [simplify]: Extracting #4: cost 243 inf + 6969
1553948569.351 * * [simplify]: Extracting #5: cost 64 inf + 49489
1553948569.383 * * [simplify]: Extracting #6: cost 0 inf + 69248
1553948569.408 * * [simplify]: Extracting #7: cost 0 inf + 68226
1553948569.422 * [simplify]: Simplified to (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))
1553948569.422 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))))
1553948569.422 * * * * [progress]: [ 61 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948569.422 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948569.422 * * [simplify]: iters left: 6 (17 enodes)
1553948569.428 * * [simplify]: iters left: 5 (73 enodes)
1553948569.442 * * [simplify]: iters left: 4 (139 enodes)
1553948569.497 * * [simplify]: iters left: 3 (336 enodes)
1553948569.658 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948569.658 * * [simplify]: Extracting #1: cost 31 inf + 0
1553948569.659 * * [simplify]: Extracting #2: cost 198 inf + 1
1553948569.659 * * [simplify]: Extracting #3: cost 277 inf + 75
1553948569.661 * * [simplify]: Extracting #4: cost 243 inf + 6969
1553948569.670 * * [simplify]: Extracting #5: cost 64 inf + 49489
1553948569.688 * * [simplify]: Extracting #6: cost 0 inf + 69248
1553948569.715 * * [simplify]: Extracting #7: cost 0 inf + 68226
1553948569.744 * [simplify]: Simplified to (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))
1553948569.744 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))))
1553948569.744 * * * * [progress]: [ 62 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948569.745 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948569.745 * * [simplify]: iters left: 6 (17 enodes)
1553948569.754 * * [simplify]: iters left: 5 (67 enodes)
1553948569.774 * * [simplify]: iters left: 4 (100 enodes)
1553948569.806 * * [simplify]: iters left: 3 (190 enodes)
1553948569.866 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948569.866 * * [simplify]: Extracting #1: cost 22 inf + 0
1553948569.866 * * [simplify]: Extracting #2: cost 119 inf + 0
1553948569.866 * * [simplify]: Extracting #3: cost 152 inf + 3
1553948569.867 * * [simplify]: Extracting #4: cost 159 inf + 274
1553948569.868 * * [simplify]: Extracting #5: cost 130 inf + 3292
1553948569.873 * * [simplify]: Extracting #6: cost 45 inf + 21399
1553948569.880 * * [simplify]: Extracting #7: cost 0 inf + 33931
1553948569.886 * * [simplify]: Extracting #8: cost 0 inf + 33145
1553948569.895 * [simplify]: Simplified to (- (fma (log (* n (* 2 PI))) (+ -1/2 (/ k 2)) (log (sqrt k))))
1553948569.895 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* n (* 2 PI))) (+ -1/2 (/ k 2)) (log (sqrt k))))))
1553948569.895 * * * * [progress]: [ 63 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948569.895 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948569.895 * * [simplify]: iters left: 6 (17 enodes)
1553948569.900 * * [simplify]: iters left: 5 (68 enodes)
1553948569.914 * * [simplify]: iters left: 4 (91 enodes)
1553948569.937 * * [simplify]: iters left: 3 (125 enodes)
1553948569.956 * * [simplify]: iters left: 2 (224 enodes)
1553948570.026 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948570.026 * * [simplify]: Extracting #1: cost 26 inf + 0
1553948570.027 * * [simplify]: Extracting #2: cost 145 inf + 0
1553948570.028 * * [simplify]: Extracting #3: cost 192 inf + 3
1553948570.030 * * [simplify]: Extracting #4: cost 192 inf + 987
1553948570.034 * * [simplify]: Extracting #5: cost 118 inf + 12115
1553948570.046 * * [simplify]: Extracting #6: cost 42 inf + 32634
1553948570.068 * * [simplify]: Extracting #7: cost 3 inf + 44444
1553948570.085 * * [simplify]: Extracting #8: cost 0 inf + 44787
1553948570.094 * [simplify]: Simplified to (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))
1553948570.094 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k))))))
1553948570.094 * * * * [progress]: [ 64 / 117 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948570.094 * * * * [progress]: [ 65 / 117 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948570.095 * * * * [progress]: [ 66 / 117 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948570.095 * [simplify]: Simplifying (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948570.095 * * [simplify]: iters left: 6 (19 enodes)
1553948570.100 * * [simplify]: iters left: 5 (86 enodes)
1553948570.118 * * [simplify]: iters left: 4 (166 enodes)
1553948570.183 * * [simplify]: iters left: 3 (481 enodes)
1553948570.785 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948570.786 * * [simplify]: Extracting #1: cost 61 inf + 0
1553948570.786 * * [simplify]: Extracting #2: cost 133 inf + 2
1553948570.787 * * [simplify]: Extracting #3: cost 138 inf + 213
1553948570.788 * * [simplify]: Extracting #4: cost 124 inf + 1446
1553948570.789 * * [simplify]: Extracting #5: cost 106 inf + 3045
1553948570.794 * * [simplify]: Extracting #6: cost 54 inf + 26353
1553948570.814 * * [simplify]: Extracting #7: cost 2 inf + 52258
1553948570.830 * * [simplify]: Extracting #8: cost 0 inf + 53037
1553948570.853 * [simplify]: Simplified to (* (/ (* (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (sqrt k)) (/ (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) k))
1553948570.853 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (sqrt k)) (/ (pow (* PI (* 2 n)) (- 1/2 (/ k 2))) k))))
1553948570.854 * * * * [progress]: [ 67 / 117 ] 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))))))))>
1553948570.854 * * * * [progress]: [ 68 / 117 ] 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))))))))>
1553948570.854 * * * * [progress]: [ 69 / 117 ] 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))))))))>
1553948570.854 * * * * [progress]: [ 70 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ 1 (sqrt k))) (- (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948570.854 * * * * [progress]: [ 71 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948570.854 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948570.855 * * [simplify]: iters left: 6 (19 enodes)
1553948570.864 * * [simplify]: iters left: 5 (71 enodes)
1553948570.885 * * [simplify]: iters left: 4 (101 enodes)
1553948570.915 * * [simplify]: iters left: 3 (116 enodes)
1553948570.947 * * [simplify]: iters left: 2 (119 enodes)
1553948570.977 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948570.977 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948570.977 * * [simplify]: Extracting #2: cost 22 inf + 0
1553948570.977 * * [simplify]: Extracting #3: cost 27 inf + 0
1553948570.977 * * [simplify]: Extracting #4: cost 31 inf + 1
1553948570.977 * * [simplify]: Extracting #5: cost 41 inf + 2
1553948570.978 * * [simplify]: Extracting #6: cost 34 inf + 862
1553948570.979 * * [simplify]: Extracting #7: cost 18 inf + 4740
1553948570.982 * * [simplify]: Extracting #8: cost 4 inf + 11548
1553948570.985 * * [simplify]: Extracting #9: cost 0 inf + 14212
1553948570.989 * [simplify]: Simplified to (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
1553948570.989 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948570.990 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948570.990 * * [simplify]: iters left: 6 (17 enodes)
1553948570.999 * * [simplify]: iters left: 5 (59 enodes)
1553948571.017 * * [simplify]: iters left: 4 (74 enodes)
1553948571.038 * * [simplify]: iters left: 3 (81 enodes)
1553948571.058 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.058 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.058 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948571.058 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948571.058 * * [simplify]: Extracting #4: cost 17 inf + 1
1553948571.058 * * [simplify]: Extracting #5: cost 27 inf + 2
1553948571.058 * * [simplify]: Extracting #6: cost 20 inf + 783
1553948571.058 * * [simplify]: Extracting #7: cost 9 inf + 1782
1553948571.059 * * [simplify]: Extracting #8: cost 2 inf + 4264
1553948571.060 * * [simplify]: Extracting #9: cost 0 inf + 5456
1553948571.060 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.060 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948571.060 * * * * [progress]: [ 72 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948571.061 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948571.061 * * [simplify]: iters left: 6 (18 enodes)
1553948571.065 * * [simplify]: iters left: 5 (64 enodes)
1553948571.076 * * [simplify]: iters left: 4 (83 enodes)
1553948571.090 * * [simplify]: iters left: 3 (93 enodes)
1553948571.114 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.114 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948571.114 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948571.114 * * [simplify]: Extracting #3: cost 19 inf + 0
1553948571.115 * * [simplify]: Extracting #4: cost 23 inf + 1
1553948571.115 * * [simplify]: Extracting #5: cost 33 inf + 2
1553948571.115 * * [simplify]: Extracting #6: cost 24 inf + 907
1553948571.116 * * [simplify]: Extracting #7: cost 10 inf + 3433
1553948571.118 * * [simplify]: Extracting #8: cost 2 inf + 7052
1553948571.120 * * [simplify]: Extracting #9: cost 0 inf + 8404
1553948571.122 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (sqrt k)))))
1553948571.122 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948571.123 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948571.123 * * [simplify]: iters left: 6 (17 enodes)
1553948571.131 * * [simplify]: iters left: 5 (59 enodes)
1553948571.149 * * [simplify]: iters left: 4 (74 enodes)
1553948571.168 * * [simplify]: iters left: 3 (81 enodes)
1553948571.178 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.178 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.178 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948571.178 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948571.178 * * [simplify]: Extracting #4: cost 17 inf + 1
1553948571.179 * * [simplify]: Extracting #5: cost 27 inf + 2
1553948571.179 * * [simplify]: Extracting #6: cost 20 inf + 783
1553948571.179 * * [simplify]: Extracting #7: cost 9 inf + 1782
1553948571.180 * * [simplify]: Extracting #8: cost 2 inf + 4184
1553948571.180 * * [simplify]: Extracting #9: cost 0 inf + 5296
1553948571.181 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.181 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948571.181 * * * * [progress]: [ 73 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948571.181 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1)
1553948571.181 * * [simplify]: iters left: 6 (7 enodes)
1553948571.183 * * [simplify]: iters left: 5 (23 enodes)
1553948571.189 * * [simplify]: iters left: 4 (33 enodes)
1553948571.194 * * [simplify]: iters left: 3 (34 enodes)
1553948571.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.203 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948571.203 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948571.203 * * [simplify]: Extracting #3: cost 9 inf + 1
1553948571.203 * * [simplify]: Extracting #4: cost 11 inf + 1
1553948571.203 * * [simplify]: Extracting #5: cost 10 inf + 2
1553948571.203 * * [simplify]: Extracting #6: cost 6 inf + 248
1553948571.203 * * [simplify]: Extracting #7: cost 2 inf + 1016
1553948571.204 * * [simplify]: Extracting #8: cost 0 inf + 1380
1553948571.204 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553948571.205 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948571.205 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948571.205 * * [simplify]: iters left: 6 (16 enodes)
1553948571.214 * * [simplify]: iters left: 5 (58 enodes)
1553948571.226 * * [simplify]: iters left: 4 (74 enodes)
1553948571.238 * * [simplify]: iters left: 3 (88 enodes)
1553948571.249 * * [simplify]: iters left: 2 (89 enodes)
1553948571.261 * * [simplify]: iters left: 1 (91 enodes)
1553948571.278 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.279 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948571.279 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948571.279 * * [simplify]: Extracting #3: cost 26 inf + 1
1553948571.279 * * [simplify]: Extracting #4: cost 30 inf + 5
1553948571.279 * * [simplify]: Extracting #5: cost 23 inf + 340
1553948571.279 * * [simplify]: Extracting #6: cost 9 inf + 1900
1553948571.280 * * [simplify]: Extracting #7: cost 2 inf + 3636
1553948571.281 * * [simplify]: Extracting #8: cost 0 inf + 4628
1553948571.281 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948571.281 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.281 * * * * [progress]: [ 74 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948571.282 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1)
1553948571.282 * * [simplify]: iters left: 6 (7 enodes)
1553948571.285 * * [simplify]: iters left: 5 (23 enodes)
1553948571.289 * * [simplify]: iters left: 4 (33 enodes)
1553948571.296 * * [simplify]: iters left: 3 (34 enodes)
1553948571.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.300 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948571.300 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948571.300 * * [simplify]: Extracting #3: cost 9 inf + 1
1553948571.300 * * [simplify]: Extracting #4: cost 11 inf + 1
1553948571.300 * * [simplify]: Extracting #5: cost 10 inf + 2
1553948571.300 * * [simplify]: Extracting #6: cost 6 inf + 248
1553948571.301 * * [simplify]: Extracting #7: cost 2 inf + 1016
1553948571.301 * * [simplify]: Extracting #8: cost 0 inf + 1380
1553948571.301 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553948571.301 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948571.301 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948571.301 * * [simplify]: iters left: 6 (16 enodes)
1553948571.306 * * [simplify]: iters left: 5 (58 enodes)
1553948571.314 * * [simplify]: iters left: 4 (74 enodes)
1553948571.328 * * [simplify]: iters left: 3 (88 enodes)
1553948571.351 * * [simplify]: iters left: 2 (89 enodes)
1553948571.372 * * [simplify]: iters left: 1 (91 enodes)
1553948571.395 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.395 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948571.395 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948571.395 * * [simplify]: Extracting #3: cost 26 inf + 1
1553948571.395 * * [simplify]: Extracting #4: cost 30 inf + 5
1553948571.395 * * [simplify]: Extracting #5: cost 23 inf + 340
1553948571.396 * * [simplify]: Extracting #6: cost 9 inf + 1900
1553948571.397 * * [simplify]: Extracting #7: cost 2 inf + 3636
1553948571.399 * * [simplify]: Extracting #8: cost 0 inf + 4628
1553948571.402 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948571.402 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.402 * * * * [progress]: [ 75 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (cbrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))>
1553948571.403 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948571.403 * * [simplify]: iters left: 6 (15 enodes)
1553948571.411 * * [simplify]: iters left: 5 (56 enodes)
1553948571.422 * * [simplify]: iters left: 4 (75 enodes)
1553948571.434 * * [simplify]: iters left: 3 (108 enodes)
1553948571.458 * * [simplify]: iters left: 2 (121 enodes)
1553948571.478 * * [simplify]: iters left: 1 (152 enodes)
1553948571.506 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.506 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948571.506 * * [simplify]: Extracting #2: cost 21 inf + 1
1553948571.506 * * [simplify]: Extracting #3: cost 29 inf + 2
1553948571.507 * * [simplify]: Extracting #4: cost 30 inf + 47
1553948571.507 * * [simplify]: Extracting #5: cost 21 inf + 669
1553948571.508 * * [simplify]: Extracting #6: cost 11 inf + 2093
1553948571.510 * * [simplify]: Extracting #7: cost 2 inf + 4363
1553948571.512 * * [simplify]: Extracting #8: cost 0 inf + 4970
1553948571.515 * [simplify]: Simplified to (* (sqrt (* PI (* 2 n))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))))
1553948571.515 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* PI (* 2 n))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))
1553948571.515 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1553948571.515 * * [simplify]: iters left: 6 (13 enodes)
1553948571.522 * * [simplify]: iters left: 5 (45 enodes)
1553948571.533 * * [simplify]: iters left: 4 (55 enodes)
1553948571.541 * * [simplify]: iters left: 3 (60 enodes)
1553948571.549 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.550 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.550 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948571.550 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948571.550 * * [simplify]: Extracting #4: cost 18 inf + 89
1553948571.550 * * [simplify]: Extracting #5: cost 7 inf + 750
1553948571.550 * * [simplify]: Extracting #6: cost 1 inf + 2280
1553948571.551 * * [simplify]: Extracting #7: cost 0 inf + 2815
1553948571.551 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))
1553948571.551 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (* PI (* 2 n))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))))
1553948571.551 * * * * [progress]: [ 76 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948571.551 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948571.551 * * [simplify]: iters left: 6 (18 enodes)
1553948571.556 * * [simplify]: iters left: 5 (64 enodes)
1553948571.566 * * [simplify]: iters left: 4 (81 enodes)
1553948571.577 * * [simplify]: iters left: 3 (88 enodes)
1553948571.597 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.597 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948571.597 * * [simplify]: Extracting #2: cost 12 inf + 0
1553948571.597 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948571.597 * * [simplify]: Extracting #4: cost 21 inf + 1
1553948571.597 * * [simplify]: Extracting #5: cost 31 inf + 2
1553948571.598 * * [simplify]: Extracting #6: cost 22 inf + 1081
1553948571.598 * * [simplify]: Extracting #7: cost 7 inf + 4063
1553948571.599 * * [simplify]: Extracting #8: cost 1 inf + 7064
1553948571.600 * * [simplify]: Extracting #9: cost 0 inf + 7760
1553948571.601 * [simplify]: Simplified to (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.601 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948571.601 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948571.602 * * [simplify]: iters left: 6 (17 enodes)
1553948571.606 * * [simplify]: iters left: 5 (59 enodes)
1553948571.615 * * [simplify]: iters left: 4 (74 enodes)
1553948571.626 * * [simplify]: iters left: 3 (81 enodes)
1553948571.636 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.636 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.636 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948571.636 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948571.636 * * [simplify]: Extracting #4: cost 17 inf + 1
1553948571.637 * * [simplify]: Extracting #5: cost 27 inf + 2
1553948571.637 * * [simplify]: Extracting #6: cost 20 inf + 703
1553948571.637 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553948571.638 * * [simplify]: Extracting #8: cost 2 inf + 4144
1553948571.639 * * [simplify]: Extracting #9: cost 0 inf + 5296
1553948571.639 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.639 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948571.640 * * * * [progress]: [ 77 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948571.640 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948571.640 * * [simplify]: iters left: 6 (17 enodes)
1553948571.645 * * [simplify]: iters left: 5 (59 enodes)
1553948571.662 * * [simplify]: iters left: 4 (74 enodes)
1553948571.675 * * [simplify]: iters left: 3 (81 enodes)
1553948571.696 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.696 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.697 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948571.697 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948571.697 * * [simplify]: Extracting #4: cost 17 inf + 1
1553948571.697 * * [simplify]: Extracting #5: cost 27 inf + 2
1553948571.697 * * [simplify]: Extracting #6: cost 20 inf + 703
1553948571.698 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553948571.699 * * [simplify]: Extracting #8: cost 2 inf + 4064
1553948571.700 * * [simplify]: Extracting #9: cost 0 inf + 5136
1553948571.701 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.701 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948571.702 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948571.702 * * [simplify]: iters left: 6 (17 enodes)
1553948571.709 * * [simplify]: iters left: 5 (59 enodes)
1553948571.726 * * [simplify]: iters left: 4 (74 enodes)
1553948571.748 * * [simplify]: iters left: 3 (81 enodes)
1553948571.769 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.769 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.769 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948571.769 * * [simplify]: Extracting #3: cost 13 inf + 0
1553948571.769 * * [simplify]: Extracting #4: cost 17 inf + 1
1553948571.769 * * [simplify]: Extracting #5: cost 27 inf + 2
1553948571.769 * * [simplify]: Extracting #6: cost 20 inf + 703
1553948571.770 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553948571.771 * * [simplify]: Extracting #8: cost 2 inf + 4064
1553948571.773 * * [simplify]: Extracting #9: cost 0 inf + 5136
1553948571.774 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.774 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948571.774 * * * * [progress]: [ 78 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948571.775 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1)
1553948571.775 * * [simplify]: iters left: 6 (6 enodes)
1553948571.778 * * [simplify]: iters left: 5 (18 enodes)
1553948571.783 * * [simplify]: iters left: 4 (20 enodes)
1553948571.789 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.789 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.789 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948571.789 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948571.789 * * [simplify]: Extracting #4: cost 0 inf + 492
1553948571.789 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553948571.789 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948571.790 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948571.790 * * [simplify]: iters left: 6 (16 enodes)
1553948571.797 * * [simplify]: iters left: 5 (58 enodes)
1553948571.812 * * [simplify]: iters left: 4 (74 enodes)
1553948571.833 * * [simplify]: iters left: 3 (88 enodes)
1553948571.852 * * [simplify]: iters left: 2 (89 enodes)
1553948571.870 * * [simplify]: iters left: 1 (91 enodes)
1553948571.881 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.882 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948571.882 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948571.882 * * [simplify]: Extracting #3: cost 26 inf + 1
1553948571.882 * * [simplify]: Extracting #4: cost 30 inf + 5
1553948571.882 * * [simplify]: Extracting #5: cost 23 inf + 340
1553948571.882 * * [simplify]: Extracting #6: cost 9 inf + 1780
1553948571.883 * * [simplify]: Extracting #7: cost 2 inf + 3436
1553948571.884 * * [simplify]: Extracting #8: cost 0 inf + 4388
1553948571.885 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948571.885 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.885 * * * * [progress]: [ 79 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948571.885 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1)
1553948571.885 * * [simplify]: iters left: 6 (6 enodes)
1553948571.887 * * [simplify]: iters left: 5 (18 enodes)
1553948571.890 * * [simplify]: iters left: 4 (20 enodes)
1553948571.893 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.893 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948571.893 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948571.893 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948571.893 * * [simplify]: Extracting #4: cost 0 inf + 492
1553948571.893 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553948571.893 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948571.893 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948571.894 * * [simplify]: iters left: 6 (16 enodes)
1553948571.898 * * [simplify]: iters left: 5 (58 enodes)
1553948571.908 * * [simplify]: iters left: 4 (74 enodes)
1553948571.929 * * [simplify]: iters left: 3 (88 enodes)
1553948571.954 * * [simplify]: iters left: 2 (89 enodes)
1553948571.970 * * [simplify]: iters left: 1 (91 enodes)
1553948571.981 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948571.981 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948571.981 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948571.981 * * [simplify]: Extracting #3: cost 26 inf + 1
1553948571.981 * * [simplify]: Extracting #4: cost 30 inf + 5
1553948571.982 * * [simplify]: Extracting #5: cost 23 inf + 340
1553948571.982 * * [simplify]: Extracting #6: cost 9 inf + 1780
1553948571.983 * * [simplify]: Extracting #7: cost 2 inf + 3436
1553948571.983 * * [simplify]: Extracting #8: cost 0 inf + 4388
1553948571.984 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948571.984 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948571.984 * * * * [progress]: [ 80 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))>
1553948571.984 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948571.985 * * [simplify]: iters left: 6 (14 enodes)
1553948571.988 * * [simplify]: iters left: 5 (51 enodes)
1553948571.996 * * [simplify]: iters left: 4 (62 enodes)
1553948572.014 * * [simplify]: iters left: 3 (74 enodes)
1553948572.033 * * [simplify]: iters left: 2 (75 enodes)
1553948572.051 * * [simplify]: iters left: 1 (77 enodes)
1553948572.068 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.068 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948572.069 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948572.069 * * [simplify]: Extracting #3: cost 21 inf + 2
1553948572.069 * * [simplify]: Extracting #4: cost 23 inf + 5
1553948572.069 * * [simplify]: Extracting #5: cost 17 inf + 257
1553948572.069 * * [simplify]: Extracting #6: cost 5 inf + 1487
1553948572.070 * * [simplify]: Extracting #7: cost 0 inf + 2382
1553948572.070 * [simplify]: Simplified to (* (sqrt (* (* n 2) PI)) (sqrt (/ 1 (sqrt k))))
1553948572.070 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (* n 2) PI)) (sqrt (/ 1 (sqrt k)))) (/ (sqrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))
1553948572.070 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1553948572.071 * * [simplify]: iters left: 6 (13 enodes)
1553948572.074 * * [simplify]: iters left: 5 (45 enodes)
1553948572.081 * * [simplify]: iters left: 4 (55 enodes)
1553948572.088 * * [simplify]: iters left: 3 (60 enodes)
1553948572.099 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.100 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948572.100 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948572.100 * * [simplify]: Extracting #3: cost 21 inf + 0
1553948572.100 * * [simplify]: Extracting #4: cost 18 inf + 89
1553948572.100 * * [simplify]: Extracting #5: cost 7 inf + 710
1553948572.101 * * [simplify]: Extracting #6: cost 1 inf + 2160
1553948572.102 * * [simplify]: Extracting #7: cost 0 inf + 2655
1553948572.102 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))
1553948572.102 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* n 2) PI)) (sqrt (/ 1 (sqrt k)))) (/ (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))))
1553948572.102 * * * * [progress]: [ 81 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948572.103 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.103 * * [simplify]: iters left: 6 (15 enodes)
1553948572.110 * * [simplify]: iters left: 5 (55 enodes)
1553948572.127 * * [simplify]: iters left: 4 (72 enodes)
1553948572.146 * * [simplify]: iters left: 3 (79 enodes)
1553948572.156 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.156 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948572.156 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948572.156 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948572.156 * * [simplify]: Extracting #4: cost 14 inf + 1
1553948572.156 * * [simplify]: Extracting #5: cost 25 inf + 1
1553948572.157 * * [simplify]: Extracting #6: cost 28 inf + 5
1553948572.157 * * [simplify]: Extracting #7: cost 17 inf + 549
1553948572.157 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553948572.158 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553948572.159 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948572.159 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948572.159 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.159 * * [simplify]: iters left: 6 (16 enodes)
1553948572.165 * * [simplify]: iters left: 5 (58 enodes)
1553948572.174 * * [simplify]: iters left: 4 (78 enodes)
1553948572.191 * * [simplify]: iters left: 3 (87 enodes)
1553948572.202 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.202 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.202 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948572.202 * * [simplify]: Extracting #3: cost 15 inf + 2
1553948572.202 * * [simplify]: Extracting #4: cost 15 inf + 166
1553948572.202 * * [simplify]: Extracting #5: cost 25 inf + 248
1553948572.203 * * [simplify]: Extracting #6: cost 27 inf + 252
1553948572.203 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553948572.203 * * [simplify]: Extracting #8: cost 5 inf + 4436
1553948572.204 * * [simplify]: Extracting #9: cost 0 inf + 7196
1553948572.205 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553948572.205 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1553948572.206 * * * * [progress]: [ 82 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948572.206 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.206 * * [simplify]: iters left: 6 (14 enodes)
1553948572.209 * * [simplify]: iters left: 5 (50 enodes)
1553948572.217 * * [simplify]: iters left: 4 (65 enodes)
1553948572.231 * * [simplify]: iters left: 3 (72 enodes)
1553948572.250 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.250 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948572.250 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948572.250 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948572.250 * * [simplify]: Extracting #4: cost 10 inf + 1
1553948572.251 * * [simplify]: Extracting #5: cost 21 inf + 1
1553948572.251 * * [simplify]: Extracting #6: cost 20 inf + 214
1553948572.251 * * [simplify]: Extracting #7: cost 13 inf + 590
1553948572.252 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553948572.253 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553948572.254 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553948572.254 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948572.255 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.255 * * [simplify]: iters left: 6 (16 enodes)
1553948572.263 * * [simplify]: iters left: 5 (58 enodes)
1553948572.282 * * [simplify]: iters left: 4 (78 enodes)
1553948572.293 * * [simplify]: iters left: 3 (87 enodes)
1553948572.304 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.304 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.304 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948572.304 * * [simplify]: Extracting #3: cost 15 inf + 2
1553948572.305 * * [simplify]: Extracting #4: cost 15 inf + 166
1553948572.305 * * [simplify]: Extracting #5: cost 25 inf + 248
1553948572.305 * * [simplify]: Extracting #6: cost 27 inf + 252
1553948572.305 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553948572.306 * * [simplify]: Extracting #8: cost 5 inf + 4316
1553948572.307 * * [simplify]: Extracting #9: cost 0 inf + 6876
1553948572.308 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553948572.308 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1553948572.308 * * * * [progress]: [ 83 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948572.308 * [simplify]: Simplifying (/ 1 1)
1553948572.308 * * [simplify]: iters left: 2 (2 enodes)
1553948572.309 * * [simplify]: iters left: 1 (6 enodes)
1553948572.311 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.311 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948572.311 * [simplify]: Simplified to 1
1553948572.311 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.311 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948572.312 * * [simplify]: iters left: 6 (15 enodes)
1553948572.319 * * [simplify]: iters left: 5 (57 enodes)
1553948572.337 * * [simplify]: iters left: 4 (81 enodes)
1553948572.361 * * [simplify]: iters left: 3 (96 enodes)
1553948572.377 * * [simplify]: iters left: 2 (137 enodes)
1553948572.403 * * [simplify]: iters left: 1 (147 enodes)
1553948572.424 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.424 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.424 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948572.424 * * [simplify]: Extracting #3: cost 25 inf + 2
1553948572.424 * * [simplify]: Extracting #4: cost 22 inf + 294
1553948572.425 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553948572.425 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553948572.426 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553948572.427 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553948572.427 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553948572.428 * * * * [progress]: [ 84 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948572.428 * [simplify]: Simplifying (/ 1 1)
1553948572.428 * * [simplify]: iters left: 2 (2 enodes)
1553948572.429 * * [simplify]: iters left: 1 (6 enodes)
1553948572.430 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.430 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948572.430 * [simplify]: Simplified to 1
1553948572.430 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.430 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948572.430 * * [simplify]: iters left: 6 (15 enodes)
1553948572.434 * * [simplify]: iters left: 5 (57 enodes)
1553948572.443 * * [simplify]: iters left: 4 (81 enodes)
1553948572.460 * * [simplify]: iters left: 3 (96 enodes)
1553948572.485 * * [simplify]: iters left: 2 (137 enodes)
1553948572.504 * * [simplify]: iters left: 1 (147 enodes)
1553948572.520 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.520 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.520 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948572.520 * * [simplify]: Extracting #3: cost 25 inf + 2
1553948572.520 * * [simplify]: Extracting #4: cost 22 inf + 294
1553948572.521 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553948572.522 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553948572.523 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553948572.524 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553948572.524 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553948572.524 * * * * [progress]: [ 85 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948572.524 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948572.524 * * [simplify]: iters left: 6 (10 enodes)
1553948572.527 * * [simplify]: iters left: 5 (37 enodes)
1553948572.533 * * [simplify]: iters left: 4 (48 enodes)
1553948572.546 * * [simplify]: iters left: 3 (57 enodes)
1553948572.562 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.563 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948572.563 * * [simplify]: Extracting #2: cost 12 inf + 2
1553948572.563 * * [simplify]: Extracting #3: cost 7 inf + 337
1553948572.563 * * [simplify]: Extracting #4: cost 0 inf + 997
1553948572.564 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553948572.564 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))
1553948572.564 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))
1553948572.564 * * [simplify]: iters left: 6 (12 enodes)
1553948572.570 * * [simplify]: iters left: 5 (44 enodes)
1553948572.583 * * [simplify]: iters left: 4 (59 enodes)
1553948572.599 * * [simplify]: iters left: 3 (66 enodes)
1553948572.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.616 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.616 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948572.616 * * [simplify]: Extracting #3: cost 22 inf + 2
1553948572.616 * * [simplify]: Extracting #4: cost 17 inf + 293
1553948572.617 * * [simplify]: Extracting #5: cost 8 inf + 753
1553948572.617 * * [simplify]: Extracting #6: cost 3 inf + 2786
1553948572.618 * * [simplify]: Extracting #7: cost 0 inf + 3909
1553948572.619 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))
1553948572.619 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))))
1553948572.620 * * * * [progress]: [ 86 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948572.620 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.620 * * [simplify]: iters left: 6 (15 enodes)
1553948572.627 * * [simplify]: iters left: 5 (55 enodes)
1553948572.644 * * [simplify]: iters left: 4 (72 enodes)
1553948572.654 * * [simplify]: iters left: 3 (79 enodes)
1553948572.665 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.665 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948572.665 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948572.665 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948572.665 * * [simplify]: Extracting #4: cost 14 inf + 1
1553948572.665 * * [simplify]: Extracting #5: cost 25 inf + 1
1553948572.665 * * [simplify]: Extracting #6: cost 28 inf + 5
1553948572.665 * * [simplify]: Extracting #7: cost 17 inf + 549
1553948572.666 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553948572.667 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553948572.668 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948572.668 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948572.668 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.668 * * [simplify]: iters left: 6 (16 enodes)
1553948572.672 * * [simplify]: iters left: 5 (58 enodes)
1553948572.687 * * [simplify]: iters left: 4 (78 enodes)
1553948572.709 * * [simplify]: iters left: 3 (87 enodes)
1553948572.732 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.732 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.732 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948572.732 * * [simplify]: Extracting #3: cost 15 inf + 2
1553948572.732 * * [simplify]: Extracting #4: cost 15 inf + 166
1553948572.732 * * [simplify]: Extracting #5: cost 25 inf + 248
1553948572.732 * * [simplify]: Extracting #6: cost 27 inf + 252
1553948572.733 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553948572.734 * * [simplify]: Extracting #8: cost 5 inf + 4436
1553948572.736 * * [simplify]: Extracting #9: cost 0 inf + 7196
1553948572.738 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553948572.738 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1553948572.738 * * * * [progress]: [ 87 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948572.739 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.739 * * [simplify]: iters left: 6 (14 enodes)
1553948572.746 * * [simplify]: iters left: 5 (50 enodes)
1553948572.757 * * [simplify]: iters left: 4 (65 enodes)
1553948572.766 * * [simplify]: iters left: 3 (72 enodes)
1553948572.775 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.775 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948572.775 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948572.776 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948572.776 * * [simplify]: Extracting #4: cost 10 inf + 1
1553948572.776 * * [simplify]: Extracting #5: cost 21 inf + 1
1553948572.776 * * [simplify]: Extracting #6: cost 20 inf + 214
1553948572.776 * * [simplify]: Extracting #7: cost 13 inf + 590
1553948572.776 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553948572.777 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553948572.778 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553948572.778 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948572.778 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948572.778 * * [simplify]: iters left: 6 (16 enodes)
1553948572.783 * * [simplify]: iters left: 5 (58 enodes)
1553948572.800 * * [simplify]: iters left: 4 (78 enodes)
1553948572.811 * * [simplify]: iters left: 3 (87 enodes)
1553948572.822 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.822 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.822 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948572.822 * * [simplify]: Extracting #3: cost 15 inf + 2
1553948572.822 * * [simplify]: Extracting #4: cost 15 inf + 166
1553948572.823 * * [simplify]: Extracting #5: cost 25 inf + 248
1553948572.823 * * [simplify]: Extracting #6: cost 27 inf + 252
1553948572.823 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553948572.824 * * [simplify]: Extracting #8: cost 5 inf + 4316
1553948572.824 * * [simplify]: Extracting #9: cost 0 inf + 6876
1553948572.826 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553948572.826 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))))
1553948572.826 * * * * [progress]: [ 88 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948572.827 * [simplify]: Simplifying (/ 1 1)
1553948572.827 * * [simplify]: iters left: 2 (2 enodes)
1553948572.828 * * [simplify]: iters left: 1 (6 enodes)
1553948572.830 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.830 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948572.830 * [simplify]: Simplified to 1
1553948572.830 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.831 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948572.831 * * [simplify]: iters left: 6 (15 enodes)
1553948572.836 * * [simplify]: iters left: 5 (57 enodes)
1553948572.845 * * [simplify]: iters left: 4 (81 enodes)
1553948572.857 * * [simplify]: iters left: 3 (96 enodes)
1553948572.877 * * [simplify]: iters left: 2 (137 enodes)
1553948572.903 * * [simplify]: iters left: 1 (147 enodes)
1553948572.919 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.919 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948572.919 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948572.920 * * [simplify]: Extracting #3: cost 25 inf + 2
1553948572.920 * * [simplify]: Extracting #4: cost 22 inf + 294
1553948572.920 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553948572.921 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553948572.922 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553948572.923 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553948572.923 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553948572.923 * * * * [progress]: [ 89 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948572.923 * [simplify]: Simplifying (/ 1 1)
1553948572.923 * * [simplify]: iters left: 2 (2 enodes)
1553948572.924 * * [simplify]: iters left: 1 (6 enodes)
1553948572.925 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948572.925 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948572.925 * [simplify]: Simplified to 1
1553948572.925 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948572.926 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948572.926 * * [simplify]: iters left: 6 (15 enodes)
1553948572.930 * * [simplify]: iters left: 5 (57 enodes)
1553948572.939 * * [simplify]: iters left: 4 (81 enodes)
1553948572.955 * * [simplify]: iters left: 3 (96 enodes)
1553948572.984 * * [simplify]: iters left: 2 (137 enodes)
1553948573.003 * * [simplify]: iters left: 1 (147 enodes)
1553948573.026 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.026 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948573.026 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948573.026 * * [simplify]: Extracting #3: cost 25 inf + 2
1553948573.026 * * [simplify]: Extracting #4: cost 22 inf + 294
1553948573.027 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553948573.028 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553948573.030 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553948573.032 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553948573.033 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553948573.033 * * * * [progress]: [ 90 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948573.033 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948573.033 * * [simplify]: iters left: 6 (10 enodes)
1553948573.039 * * [simplify]: iters left: 5 (37 enodes)
1553948573.050 * * [simplify]: iters left: 4 (48 enodes)
1553948573.064 * * [simplify]: iters left: 3 (57 enodes)
1553948573.078 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.078 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948573.078 * * [simplify]: Extracting #2: cost 12 inf + 2
1553948573.078 * * [simplify]: Extracting #3: cost 7 inf + 337
1553948573.078 * * [simplify]: Extracting #4: cost 0 inf + 997
1553948573.079 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553948573.079 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))
1553948573.079 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))
1553948573.079 * * [simplify]: iters left: 6 (12 enodes)
1553948573.082 * * [simplify]: iters left: 5 (44 enodes)
1553948573.089 * * [simplify]: iters left: 4 (59 enodes)
1553948573.098 * * [simplify]: iters left: 3 (66 enodes)
1553948573.114 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.115 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948573.115 * * [simplify]: Extracting #2: cost 15 inf + 1
1553948573.115 * * [simplify]: Extracting #3: cost 22 inf + 2
1553948573.115 * * [simplify]: Extracting #4: cost 17 inf + 293
1553948573.115 * * [simplify]: Extracting #5: cost 8 inf + 753
1553948573.116 * * [simplify]: Extracting #6: cost 3 inf + 2786
1553948573.117 * * [simplify]: Extracting #7: cost 0 inf + 3909
1553948573.118 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))
1553948573.118 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))))
1553948573.119 * * * * [progress]: [ 91 / 117 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948573.119 * * * * [progress]: [ 92 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948573.119 * * * * [progress]: [ 93 / 117 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553948573.119 * * * * [progress]: [ 94 / 117 ] 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)))))))>
1553948573.119 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948573.119 * * [simplify]: iters left: 6 (13 enodes)
1553948573.126 * * [simplify]: iters left: 5 (47 enodes)
1553948573.140 * * [simplify]: iters left: 4 (62 enodes)
1553948573.149 * * [simplify]: iters left: 3 (69 enodes)
1553948573.158 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.158 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948573.158 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948573.158 * * [simplify]: Extracting #3: cost 8 inf + 1
1553948573.158 * * [simplify]: Extracting #4: cost 19 inf + 1
1553948573.159 * * [simplify]: Extracting #5: cost 17 inf + 297
1553948573.159 * * [simplify]: Extracting #6: cost 10 inf + 632
1553948573.159 * * [simplify]: Extracting #7: cost 2 inf + 2996
1553948573.160 * * [simplify]: Extracting #8: cost 0 inf + 3494
1553948573.160 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553948573.160 * [simplify]: Simplified (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)))))))
1553948573.160 * * * * [progress]: [ 95 / 117 ] 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)))))))>
1553948573.160 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948573.161 * * [simplify]: iters left: 6 (13 enodes)
1553948573.164 * * [simplify]: iters left: 5 (47 enodes)
1553948573.172 * * [simplify]: iters left: 4 (62 enodes)
1553948573.191 * * [simplify]: iters left: 3 (69 enodes)
1553948573.205 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.205 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948573.205 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948573.205 * * [simplify]: Extracting #3: cost 8 inf + 1
1553948573.205 * * [simplify]: Extracting #4: cost 19 inf + 1
1553948573.205 * * [simplify]: Extracting #5: cost 17 inf + 297
1553948573.205 * * [simplify]: Extracting #6: cost 10 inf + 632
1553948573.206 * * [simplify]: Extracting #7: cost 2 inf + 2916
1553948573.206 * * [simplify]: Extracting #8: cost 0 inf + 3414
1553948573.207 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553948573.207 * [simplify]: Simplified (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)))))))
1553948573.207 * * * * [progress]: [ 96 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948573.207 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948573.207 * * [simplify]: iters left: 6 (12 enodes)
1553948573.210 * * [simplify]: iters left: 5 (44 enodes)
1553948573.218 * * [simplify]: iters left: 4 (59 enodes)
1553948573.226 * * [simplify]: iters left: 3 (66 enodes)
1553948573.235 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.236 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948573.236 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948573.236 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948573.236 * * [simplify]: Extracting #4: cost 15 inf + 297
1553948573.236 * * [simplify]: Extracting #5: cost 8 inf + 673
1553948573.237 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553948573.238 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553948573.239 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948573.239 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948573.239 * * * * [progress]: [ 97 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948573.239 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948573.239 * * [simplify]: iters left: 6 (12 enodes)
1553948573.245 * * [simplify]: iters left: 5 (44 enodes)
1553948573.252 * * [simplify]: iters left: 4 (59 enodes)
1553948573.261 * * [simplify]: iters left: 3 (66 enodes)
1553948573.270 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.270 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948573.270 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948573.270 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948573.270 * * [simplify]: Extracting #4: cost 15 inf + 297
1553948573.270 * * [simplify]: Extracting #5: cost 8 inf + 673
1553948573.272 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553948573.272 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553948573.273 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948573.273 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948573.273 * * * * [progress]: [ 98 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553948573.273 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948573.273 * * [simplify]: iters left: 5 (8 enodes)
1553948573.275 * * [simplify]: iters left: 4 (28 enodes)
1553948573.282 * * [simplify]: iters left: 3 (36 enodes)
1553948573.293 * * [simplify]: iters left: 2 (41 enodes)
1553948573.303 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.303 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948573.303 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948573.303 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948573.303 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948573.303 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948573.304 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948573.304 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1553948573.304 * * * * [progress]: [ 99 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k))))))>
1553948573.304 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553948573.305 * * [simplify]: iters left: 6 (6 enodes)
1553948573.308 * * [simplify]: iters left: 5 (20 enodes)
1553948573.314 * * [simplify]: iters left: 4 (22 enodes)
1553948573.320 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.320 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948573.320 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948573.320 * * [simplify]: Extracting #3: cost 8 inf + 0
1553948573.320 * * [simplify]: Extracting #4: cost 9 inf + 1
1553948573.320 * * [simplify]: Extracting #5: cost 8 inf + 2
1553948573.321 * * [simplify]: Extracting #6: cost 1 inf + 774
1553948573.321 * * [simplify]: Extracting #7: cost 0 inf + 976
1553948573.321 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553948573.321 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k))))))
1553948573.321 * * * * [progress]: [ 100 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))>
1553948573.322 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k)))
1553948573.322 * * [simplify]: iters left: 4 (5 enodes)
1553948573.324 * * [simplify]: iters left: 3 (17 enodes)
1553948573.330 * * [simplify]: iters left: 2 (19 enodes)
1553948573.335 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.335 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948573.335 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948573.335 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948573.335 * * [simplify]: Extracting #4: cost 0 inf + 492
1553948573.336 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553948573.336 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))
1553948573.336 * * * * [progress]: [ 101 / 117 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553948573.336 * * * * [progress]: [ 102 / 117 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553948573.336 * * * * [progress]: [ 103 / 117 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553948573.336 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948573.336 * * [simplify]: iters left: 5 (10 enodes)
1553948573.342 * * [simplify]: iters left: 4 (36 enodes)
1553948573.352 * * [simplify]: iters left: 3 (49 enodes)
1553948573.366 * * [simplify]: iters left: 2 (56 enodes)
1553948573.381 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.381 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948573.381 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948573.382 * * [simplify]: Extracting #3: cost 18 inf + 4
1553948573.382 * * [simplify]: Extracting #4: cost 7 inf + 630
1553948573.382 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553948573.383 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948573.383 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948573.383 * * * * [progress]: [ 104 / 117 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1553948573.383 * * * * [progress]: [ 105 / 117 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948573.383 * * * * [progress]: [ 106 / 117 ] 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))))))))>
1553948573.384 * [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)))))
1553948573.384 * * [simplify]: iters left: 6 (37 enodes)
1553948573.397 * * [simplify]: iters left: 5 (182 enodes)
1553948573.437 * * [simplify]: iters left: 4 (487 enodes)
1553948573.692 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948573.692 * * [simplify]: Extracting #1: cost 74 inf + 0
1553948573.693 * * [simplify]: Extracting #2: cost 339 inf + 3
1553948573.695 * * [simplify]: Extracting #3: cost 496 inf + 559
1553948573.711 * * [simplify]: Extracting #4: cost 330 inf + 53115
1553948573.768 * * [simplify]: Extracting #5: cost 70 inf + 174349
1553948573.860 * * [simplify]: Extracting #6: cost 0 inf + 222643
1553948573.928 * * [simplify]: Extracting #7: cost 0 inf + 219647
1553948574.010 * * [simplify]: Extracting #8: cost 0 inf + 219582
1553948574.084 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1553948574.085 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))))))
1553948574.085 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553948574.085 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553948574.086 * * [simplify]: iters left: 6 (15 enodes)
1553948574.092 * * [simplify]: iters left: 5 (63 enodes)
1553948574.103 * * [simplify]: iters left: 4 (108 enodes)
1553948574.138 * * [simplify]: iters left: 3 (268 enodes)
1553948574.234 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948574.235 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948574.235 * * [simplify]: Extracting #2: cost 116 inf + 0
1553948574.237 * * [simplify]: Extracting #3: cost 211 inf + 668
1553948574.240 * * [simplify]: Extracting #4: cost 149 inf + 9715
1553948574.252 * * [simplify]: Extracting #5: cost 42 inf + 34460
1553948574.270 * * [simplify]: Extracting #6: cost 0 inf + 46240
1553948574.293 * * [simplify]: Extracting #7: cost 0 inf + 45870
1553948574.311 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1553948574.311 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* 2 PI) n) (fma k -1/2 1/2)))))
1553948574.311 * * * * [progress]: [ 108 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553948574.312 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553948574.312 * * [simplify]: iters left: 6 (15 enodes)
1553948574.320 * * [simplify]: iters left: 5 (60 enodes)
1553948574.340 * * [simplify]: iters left: 4 (111 enodes)
1553948574.384 * * [simplify]: iters left: 3 (302 enodes)
1553948574.525 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948574.525 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948574.525 * * [simplify]: Extracting #2: cost 144 inf + 0
1553948574.526 * * [simplify]: Extracting #3: cost 312 inf + 558
1553948574.528 * * [simplify]: Extracting #4: cost 279 inf + 4663
1553948574.541 * * [simplify]: Extracting #5: cost 100 inf + 51858
1553948574.562 * * [simplify]: Extracting #6: cost 2 inf + 80601
1553948574.578 * * [simplify]: Extracting #7: cost 0 inf + 76621
1553948574.606 * * [simplify]: Extracting #8: cost 0 inf + 76306
1553948574.635 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1553948574.635 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))
1553948574.635 * * * * [progress]: [ 109 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948574.635 * [simplify]: Simplifying (* 2 (* n PI))
1553948574.635 * * [simplify]: iters left: 4 (5 enodes)
1553948574.638 * * [simplify]: iters left: 3 (19 enodes)
1553948574.644 * * [simplify]: iters left: 2 (27 enodes)
1553948574.652 * * [simplify]: iters left: 1 (32 enodes)
1553948574.656 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948574.656 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948574.656 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948574.657 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948574.657 * [simplify]: Simplified to (* (* PI n) 2)
1553948574.657 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948574.657 * * * * [progress]: [ 110 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948574.657 * [simplify]: Simplifying (* 2 (* n PI))
1553948574.657 * * [simplify]: iters left: 4 (5 enodes)
1553948574.659 * * [simplify]: iters left: 3 (19 enodes)
1553948574.661 * * [simplify]: iters left: 2 (27 enodes)
1553948574.665 * * [simplify]: iters left: 1 (32 enodes)
1553948574.670 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948574.670 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948574.670 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948574.670 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948574.670 * [simplify]: Simplified to (* (* PI n) 2)
1553948574.670 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948574.670 * * * * [progress]: [ 111 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948574.670 * [simplify]: Simplifying (* 2 (* n PI))
1553948574.670 * * [simplify]: iters left: 4 (5 enodes)
1553948574.672 * * [simplify]: iters left: 3 (19 enodes)
1553948574.675 * * [simplify]: iters left: 2 (27 enodes)
1553948574.679 * * [simplify]: iters left: 1 (32 enodes)
1553948574.682 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948574.683 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948574.683 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948574.683 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948574.683 * [simplify]: Simplified to (* (* PI n) 2)
1553948574.683 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948574.683 * * * * [progress]: [ 112 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948574.683 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1553948574.683 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948574.683 * * * * [progress]: [ 113 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948574.683 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1553948574.683 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948574.684 * * * * [progress]: [ 114 / 117 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948574.684 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1553948574.684 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948574.684 * * * * [progress]: [ 115 / 117 ] 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))))))))))))))>
1553948574.684 * [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)))))))))))))
1553948574.684 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948574.684 * * * * [progress]: [ 116 / 117 ] 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)))))))))>
1553948574.684 * [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))))))))
1553948574.684 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948574.684 * * * * [progress]: [ 117 / 117 ] 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))))))))))))>
1553948574.685 * [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)))))))))))
1553948574.685 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948574.685 * * * [progress]: adding candidates to table
1553948576.016 * * [progress]: iteration 4 / 4
1553948576.016 * * * [progress]: picking best candidate
1553948576.069 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948576.069 * * * [progress]: localizing error
1553948576.081 * * * [progress]: generating rewritten candidates
1553948576.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553948576.084 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553948576.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1553948576.093 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1553948576.098 * * * [progress]: generating series expansions
1553948576.098 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553948576.098 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553948576.098 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553948576.098 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948576.098 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948576.098 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948576.098 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.098 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.098 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.098 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.098 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.098 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.098 * [taylor]: Taking taylor expansion of k in k
1553948576.098 * [backup-simplify]: Simplify 0 into 0
1553948576.098 * [backup-simplify]: Simplify 1 into 1
1553948576.098 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948576.098 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948576.098 * [taylor]: Taking taylor expansion of 2 in k
1553948576.098 * [backup-simplify]: Simplify 2 into 2
1553948576.098 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948576.098 * [taylor]: Taking taylor expansion of n in k
1553948576.098 * [backup-simplify]: Simplify n into n
1553948576.098 * [taylor]: Taking taylor expansion of PI in k
1553948576.098 * [backup-simplify]: Simplify PI into PI
1553948576.098 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948576.098 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948576.098 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948576.099 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.099 * [backup-simplify]: Simplify (- 0) into 0
1553948576.099 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.099 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948576.099 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948576.100 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948576.100 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948576.100 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948576.100 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948576.100 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.100 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.100 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948576.100 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.100 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.100 * [taylor]: Taking taylor expansion of k in n
1553948576.100 * [backup-simplify]: Simplify k into k
1553948576.100 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.100 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.100 * [taylor]: Taking taylor expansion of 2 in n
1553948576.100 * [backup-simplify]: Simplify 2 into 2
1553948576.100 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.100 * [taylor]: Taking taylor expansion of n in n
1553948576.100 * [backup-simplify]: Simplify 0 into 0
1553948576.100 * [backup-simplify]: Simplify 1 into 1
1553948576.100 * [taylor]: Taking taylor expansion of PI in n
1553948576.100 * [backup-simplify]: Simplify PI into PI
1553948576.100 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.100 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.101 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.102 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.103 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.103 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948576.103 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948576.103 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948576.104 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.104 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948576.105 * [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)))))
1553948576.105 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948576.105 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948576.105 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948576.105 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948576.105 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.105 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.105 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948576.105 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.105 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.105 * [taylor]: Taking taylor expansion of k in n
1553948576.105 * [backup-simplify]: Simplify k into k
1553948576.105 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.105 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.105 * [taylor]: Taking taylor expansion of 2 in n
1553948576.105 * [backup-simplify]: Simplify 2 into 2
1553948576.105 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.105 * [taylor]: Taking taylor expansion of n in n
1553948576.105 * [backup-simplify]: Simplify 0 into 0
1553948576.105 * [backup-simplify]: Simplify 1 into 1
1553948576.105 * [taylor]: Taking taylor expansion of PI in n
1553948576.105 * [backup-simplify]: Simplify PI into PI
1553948576.106 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.106 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.107 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.108 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.108 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.108 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948576.108 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948576.108 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948576.109 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.110 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948576.111 * [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)))))
1553948576.111 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948576.111 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948576.111 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.111 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.111 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.111 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.111 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.111 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.111 * [taylor]: Taking taylor expansion of k in k
1553948576.111 * [backup-simplify]: Simplify 0 into 0
1553948576.111 * [backup-simplify]: Simplify 1 into 1
1553948576.111 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948576.111 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.111 * [taylor]: Taking taylor expansion of n in k
1553948576.111 * [backup-simplify]: Simplify n into n
1553948576.111 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.111 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948576.111 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948576.111 * [taylor]: Taking taylor expansion of 2 in k
1553948576.111 * [backup-simplify]: Simplify 2 into 2
1553948576.111 * [taylor]: Taking taylor expansion of PI in k
1553948576.111 * [backup-simplify]: Simplify PI into PI
1553948576.111 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.112 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.112 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.112 * [backup-simplify]: Simplify (- 0) into 0
1553948576.113 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.114 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.115 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948576.116 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948576.117 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948576.118 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948576.119 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948576.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948576.122 * [backup-simplify]: Simplify (- 0) into 0
1553948576.122 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.124 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.125 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948576.127 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.127 * [taylor]: Taking taylor expansion of 0 in k
1553948576.127 * [backup-simplify]: Simplify 0 into 0
1553948576.127 * [backup-simplify]: Simplify 0 into 0
1553948576.128 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948576.128 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.130 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.131 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948576.132 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.132 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948576.136 * [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)))))))
1553948576.139 * [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)))))))
1553948576.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948576.145 * [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
1553948576.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948576.146 * [backup-simplify]: Simplify (- 0) into 0
1553948576.147 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.148 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.149 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948576.152 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948576.152 * [taylor]: Taking taylor expansion of 0 in k
1553948576.152 * [backup-simplify]: Simplify 0 into 0
1553948576.152 * [backup-simplify]: Simplify 0 into 0
1553948576.152 * [backup-simplify]: Simplify 0 into 0
1553948576.154 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948576.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1553948576.158 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948576.160 * [backup-simplify]: Simplify (- 0) into 0
1553948576.160 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948576.166 * [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)))))
1553948576.170 * [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)))))
1553948576.175 * [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)))))
1553948576.175 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553948576.175 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553948576.175 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948576.175 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948576.175 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948576.175 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.175 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.175 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.176 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.176 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.176 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.176 * [taylor]: Taking taylor expansion of k in k
1553948576.176 * [backup-simplify]: Simplify 0 into 0
1553948576.176 * [backup-simplify]: Simplify 1 into 1
1553948576.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.176 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948576.176 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948576.176 * [taylor]: Taking taylor expansion of 2 in k
1553948576.176 * [backup-simplify]: Simplify 2 into 2
1553948576.176 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.176 * [taylor]: Taking taylor expansion of PI in k
1553948576.176 * [backup-simplify]: Simplify PI into PI
1553948576.176 * [taylor]: Taking taylor expansion of n in k
1553948576.176 * [backup-simplify]: Simplify n into n
1553948576.176 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.176 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948576.176 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948576.176 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.177 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.177 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.177 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948576.177 * [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))))
1553948576.177 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.177 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.177 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.177 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.177 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.177 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.177 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.177 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.177 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.177 * [taylor]: Taking taylor expansion of k in n
1553948576.177 * [backup-simplify]: Simplify k into k
1553948576.177 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.177 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.177 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.177 * [taylor]: Taking taylor expansion of 2 in n
1553948576.177 * [backup-simplify]: Simplify 2 into 2
1553948576.177 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.177 * [taylor]: Taking taylor expansion of PI in n
1553948576.177 * [backup-simplify]: Simplify PI into PI
1553948576.178 * [taylor]: Taking taylor expansion of n in n
1553948576.178 * [backup-simplify]: Simplify 0 into 0
1553948576.178 * [backup-simplify]: Simplify 1 into 1
1553948576.178 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.178 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.179 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.179 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.183 * [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)))
1553948576.183 * [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))))
1553948576.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.183 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.183 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.183 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.183 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.183 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.183 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.183 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.183 * [taylor]: Taking taylor expansion of k in n
1553948576.184 * [backup-simplify]: Simplify k into k
1553948576.184 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.184 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.184 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.184 * [taylor]: Taking taylor expansion of 2 in n
1553948576.184 * [backup-simplify]: Simplify 2 into 2
1553948576.184 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.184 * [taylor]: Taking taylor expansion of PI in n
1553948576.184 * [backup-simplify]: Simplify PI into PI
1553948576.184 * [taylor]: Taking taylor expansion of n in n
1553948576.184 * [backup-simplify]: Simplify 0 into 0
1553948576.184 * [backup-simplify]: Simplify 1 into 1
1553948576.184 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.184 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.185 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.185 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.185 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.185 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.186 * [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)))
1553948576.187 * [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))))
1553948576.187 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948576.187 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948576.187 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.187 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.187 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.187 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.187 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.187 * [taylor]: Taking taylor expansion of k in k
1553948576.187 * [backup-simplify]: Simplify 0 into 0
1553948576.187 * [backup-simplify]: Simplify 1 into 1
1553948576.188 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.188 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948576.188 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948576.188 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948576.188 * [taylor]: Taking taylor expansion of 2 in k
1553948576.188 * [backup-simplify]: Simplify 2 into 2
1553948576.188 * [taylor]: Taking taylor expansion of PI in k
1553948576.188 * [backup-simplify]: Simplify PI into PI
1553948576.188 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.189 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.189 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.189 * [taylor]: Taking taylor expansion of n in k
1553948576.189 * [backup-simplify]: Simplify n into n
1553948576.189 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.189 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.189 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.189 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.190 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948576.190 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948576.191 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948576.191 * [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))))
1553948576.192 * [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))))
1553948576.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.194 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.195 * [backup-simplify]: Simplify (- 0) into 0
1553948576.195 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.196 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948576.197 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.197 * [taylor]: Taking taylor expansion of 0 in k
1553948576.197 * [backup-simplify]: Simplify 0 into 0
1553948576.197 * [backup-simplify]: Simplify 0 into 0
1553948576.197 * [backup-simplify]: Simplify 0 into 0
1553948576.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.199 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.200 * [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
1553948576.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948576.202 * [backup-simplify]: Simplify (- 0) into 0
1553948576.202 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.205 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948576.207 * [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
1553948576.207 * [taylor]: Taking taylor expansion of 0 in k
1553948576.207 * [backup-simplify]: Simplify 0 into 0
1553948576.207 * [backup-simplify]: Simplify 0 into 0
1553948576.207 * [backup-simplify]: Simplify 0 into 0
1553948576.207 * [backup-simplify]: Simplify 0 into 0
1553948576.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.216 * [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
1553948576.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948576.217 * [backup-simplify]: Simplify (- 0) into 0
1553948576.218 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.218 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.220 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948576.221 * [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
1553948576.221 * [taylor]: Taking taylor expansion of 0 in k
1553948576.221 * [backup-simplify]: Simplify 0 into 0
1553948576.221 * [backup-simplify]: Simplify 0 into 0
1553948576.222 * [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)))))
1553948576.222 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553948576.222 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553948576.222 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948576.222 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948576.222 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948576.222 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.222 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.222 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.222 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.222 * [taylor]: Taking taylor expansion of k in k
1553948576.222 * [backup-simplify]: Simplify 0 into 0
1553948576.222 * [backup-simplify]: Simplify 1 into 1
1553948576.223 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.223 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.223 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.223 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948576.223 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948576.223 * [taylor]: Taking taylor expansion of -2 in k
1553948576.223 * [backup-simplify]: Simplify -2 into -2
1553948576.223 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.223 * [taylor]: Taking taylor expansion of PI in k
1553948576.223 * [backup-simplify]: Simplify PI into PI
1553948576.223 * [taylor]: Taking taylor expansion of n in k
1553948576.223 * [backup-simplify]: Simplify n into n
1553948576.223 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.223 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948576.223 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948576.223 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.224 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.224 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948576.224 * [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)))
1553948576.224 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.224 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948576.224 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948576.224 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.224 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.224 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.224 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.224 * [taylor]: Taking taylor expansion of k in n
1553948576.224 * [backup-simplify]: Simplify k into k
1553948576.224 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.224 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.224 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.224 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.224 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.224 * [taylor]: Taking taylor expansion of -2 in n
1553948576.224 * [backup-simplify]: Simplify -2 into -2
1553948576.224 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.224 * [taylor]: Taking taylor expansion of PI in n
1553948576.224 * [backup-simplify]: Simplify PI into PI
1553948576.224 * [taylor]: Taking taylor expansion of n in n
1553948576.224 * [backup-simplify]: Simplify 0 into 0
1553948576.224 * [backup-simplify]: Simplify 1 into 1
1553948576.225 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.225 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.226 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.226 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.226 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.227 * [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)))
1553948576.228 * [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))))
1553948576.228 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.228 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948576.228 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948576.228 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.228 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.228 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.228 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.228 * [taylor]: Taking taylor expansion of k in n
1553948576.228 * [backup-simplify]: Simplify k into k
1553948576.228 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.228 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.228 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.228 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.228 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.228 * [taylor]: Taking taylor expansion of -2 in n
1553948576.228 * [backup-simplify]: Simplify -2 into -2
1553948576.228 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.228 * [taylor]: Taking taylor expansion of PI in n
1553948576.229 * [backup-simplify]: Simplify PI into PI
1553948576.229 * [taylor]: Taking taylor expansion of n in n
1553948576.229 * [backup-simplify]: Simplify 0 into 0
1553948576.229 * [backup-simplify]: Simplify 1 into 1
1553948576.229 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.229 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.230 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.230 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.230 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.231 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.231 * [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)))
1553948576.232 * [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))))
1553948576.232 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948576.232 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948576.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.232 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.232 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.232 * [taylor]: Taking taylor expansion of k in k
1553948576.232 * [backup-simplify]: Simplify 0 into 0
1553948576.232 * [backup-simplify]: Simplify 1 into 1
1553948576.232 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.233 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.233 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.233 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948576.233 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948576.233 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948576.233 * [taylor]: Taking taylor expansion of -2 in k
1553948576.233 * [backup-simplify]: Simplify -2 into -2
1553948576.233 * [taylor]: Taking taylor expansion of PI in k
1553948576.233 * [backup-simplify]: Simplify PI into PI
1553948576.233 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.233 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.234 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.234 * [taylor]: Taking taylor expansion of n in k
1553948576.234 * [backup-simplify]: Simplify n into n
1553948576.234 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.234 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.234 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948576.235 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948576.235 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948576.236 * [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))))
1553948576.237 * [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))))
1553948576.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.238 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948576.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948576.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.239 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.240 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.241 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948576.242 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.242 * [taylor]: Taking taylor expansion of 0 in k
1553948576.242 * [backup-simplify]: Simplify 0 into 0
1553948576.242 * [backup-simplify]: Simplify 0 into 0
1553948576.242 * [backup-simplify]: Simplify 0 into 0
1553948576.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.244 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.247 * [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
1553948576.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948576.249 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.250 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.252 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948576.254 * [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
1553948576.254 * [taylor]: Taking taylor expansion of 0 in k
1553948576.254 * [backup-simplify]: Simplify 0 into 0
1553948576.254 * [backup-simplify]: Simplify 0 into 0
1553948576.254 * [backup-simplify]: Simplify 0 into 0
1553948576.254 * [backup-simplify]: Simplify 0 into 0
1553948576.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.257 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.262 * [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
1553948576.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948576.264 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.266 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.268 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553948576.271 * [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
1553948576.271 * [taylor]: Taking taylor expansion of 0 in k
1553948576.271 * [backup-simplify]: Simplify 0 into 0
1553948576.271 * [backup-simplify]: Simplify 0 into 0
1553948576.272 * [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)))))
1553948576.272 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553948576.272 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553948576.272 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553948576.272 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.272 * [taylor]: Taking taylor expansion of 2 in n
1553948576.273 * [backup-simplify]: Simplify 2 into 2
1553948576.273 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.273 * [taylor]: Taking taylor expansion of n in n
1553948576.273 * [backup-simplify]: Simplify 0 into 0
1553948576.273 * [backup-simplify]: Simplify 1 into 1
1553948576.273 * [taylor]: Taking taylor expansion of PI in n
1553948576.273 * [backup-simplify]: Simplify PI into PI
1553948576.273 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.273 * [taylor]: Taking taylor expansion of 2 in n
1553948576.273 * [backup-simplify]: Simplify 2 into 2
1553948576.273 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.273 * [taylor]: Taking taylor expansion of n in n
1553948576.273 * [backup-simplify]: Simplify 0 into 0
1553948576.273 * [backup-simplify]: Simplify 1 into 1
1553948576.273 * [taylor]: Taking taylor expansion of PI in n
1553948576.273 * [backup-simplify]: Simplify PI into PI
1553948576.273 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.274 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.274 * [backup-simplify]: Simplify 0 into 0
1553948576.276 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.277 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.278 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.279 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948576.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948576.280 * [backup-simplify]: Simplify 0 into 0
1553948576.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.282 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948576.282 * [backup-simplify]: Simplify 0 into 0
1553948576.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948576.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553948576.285 * [backup-simplify]: Simplify 0 into 0
1553948576.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948576.288 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553948576.288 * [backup-simplify]: Simplify 0 into 0
1553948576.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948576.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553948576.292 * [backup-simplify]: Simplify 0 into 0
1553948576.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553948576.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553948576.296 * [backup-simplify]: Simplify 0 into 0
1553948576.298 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553948576.298 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553948576.298 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553948576.298 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.299 * [taylor]: Taking taylor expansion of 2 in n
1553948576.299 * [backup-simplify]: Simplify 2 into 2
1553948576.299 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.299 * [taylor]: Taking taylor expansion of PI in n
1553948576.299 * [backup-simplify]: Simplify PI into PI
1553948576.299 * [taylor]: Taking taylor expansion of n in n
1553948576.299 * [backup-simplify]: Simplify 0 into 0
1553948576.299 * [backup-simplify]: Simplify 1 into 1
1553948576.299 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.299 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.300 * [taylor]: Taking taylor expansion of 2 in n
1553948576.300 * [backup-simplify]: Simplify 2 into 2
1553948576.300 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.300 * [taylor]: Taking taylor expansion of PI in n
1553948576.300 * [backup-simplify]: Simplify PI into PI
1553948576.300 * [taylor]: Taking taylor expansion of n in n
1553948576.300 * [backup-simplify]: Simplify 0 into 0
1553948576.300 * [backup-simplify]: Simplify 1 into 1
1553948576.300 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.301 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.301 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.303 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.303 * [backup-simplify]: Simplify 0 into 0
1553948576.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.305 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.305 * [backup-simplify]: Simplify 0 into 0
1553948576.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.307 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.307 * [backup-simplify]: Simplify 0 into 0
1553948576.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.310 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948576.310 * [backup-simplify]: Simplify 0 into 0
1553948576.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.312 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948576.312 * [backup-simplify]: Simplify 0 into 0
1553948576.314 * [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
1553948576.315 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948576.315 * [backup-simplify]: Simplify 0 into 0
1553948576.316 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553948576.316 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553948576.316 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553948576.316 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.316 * [taylor]: Taking taylor expansion of -2 in n
1553948576.316 * [backup-simplify]: Simplify -2 into -2
1553948576.316 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.316 * [taylor]: Taking taylor expansion of PI in n
1553948576.316 * [backup-simplify]: Simplify PI into PI
1553948576.316 * [taylor]: Taking taylor expansion of n in n
1553948576.316 * [backup-simplify]: Simplify 0 into 0
1553948576.316 * [backup-simplify]: Simplify 1 into 1
1553948576.317 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.317 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.317 * [taylor]: Taking taylor expansion of -2 in n
1553948576.317 * [backup-simplify]: Simplify -2 into -2
1553948576.317 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.317 * [taylor]: Taking taylor expansion of PI in n
1553948576.317 * [backup-simplify]: Simplify PI into PI
1553948576.317 * [taylor]: Taking taylor expansion of n in n
1553948576.317 * [backup-simplify]: Simplify 0 into 0
1553948576.317 * [backup-simplify]: Simplify 1 into 1
1553948576.318 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.318 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.319 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.320 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948576.320 * [backup-simplify]: Simplify 0 into 0
1553948576.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.322 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.322 * [backup-simplify]: Simplify 0 into 0
1553948576.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.325 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.325 * [backup-simplify]: Simplify 0 into 0
1553948576.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.328 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553948576.328 * [backup-simplify]: Simplify 0 into 0
1553948576.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.330 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553948576.330 * [backup-simplify]: Simplify 0 into 0
1553948576.331 * [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
1553948576.333 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553948576.333 * [backup-simplify]: Simplify 0 into 0
1553948576.334 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553948576.334 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1553948576.334 * [backup-simplify]: Simplify (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k)))
1553948576.334 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0
1553948576.334 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
1553948576.334 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948576.334 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948576.334 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948576.334 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948576.334 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.334 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.335 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948576.335 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.335 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.335 * [taylor]: Taking taylor expansion of k in n
1553948576.335 * [backup-simplify]: Simplify k into k
1553948576.335 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.335 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.335 * [taylor]: Taking taylor expansion of 2 in n
1553948576.335 * [backup-simplify]: Simplify 2 into 2
1553948576.335 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.335 * [taylor]: Taking taylor expansion of n in n
1553948576.335 * [backup-simplify]: Simplify 0 into 0
1553948576.335 * [backup-simplify]: Simplify 1 into 1
1553948576.335 * [taylor]: Taking taylor expansion of PI in n
1553948576.335 * [backup-simplify]: Simplify PI into PI
1553948576.335 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.336 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.337 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.339 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.340 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.340 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948576.340 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948576.340 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948576.342 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.343 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948576.344 * [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)))))
1553948576.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553948576.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.344 * [taylor]: Taking taylor expansion of k in n
1553948576.344 * [backup-simplify]: Simplify k into k
1553948576.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.344 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553948576.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553948576.344 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553948576.344 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948576.344 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948576.344 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948576.344 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.344 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.344 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.345 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.345 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.345 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.345 * [taylor]: Taking taylor expansion of k in k
1553948576.345 * [backup-simplify]: Simplify 0 into 0
1553948576.345 * [backup-simplify]: Simplify 1 into 1
1553948576.345 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948576.345 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948576.345 * [taylor]: Taking taylor expansion of 2 in k
1553948576.345 * [backup-simplify]: Simplify 2 into 2
1553948576.345 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948576.345 * [taylor]: Taking taylor expansion of n in k
1553948576.345 * [backup-simplify]: Simplify n into n
1553948576.345 * [taylor]: Taking taylor expansion of PI in k
1553948576.345 * [backup-simplify]: Simplify PI into PI
1553948576.345 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948576.345 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948576.345 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948576.346 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.346 * [backup-simplify]: Simplify (- 0) into 0
1553948576.347 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.347 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948576.347 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948576.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948576.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.347 * [taylor]: Taking taylor expansion of k in k
1553948576.347 * [backup-simplify]: Simplify 0 into 0
1553948576.347 * [backup-simplify]: Simplify 1 into 1
1553948576.347 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.348 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.349 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948576.349 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553948576.349 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948576.349 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948576.349 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948576.349 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.349 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.349 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.349 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.350 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.350 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.350 * [taylor]: Taking taylor expansion of k in k
1553948576.350 * [backup-simplify]: Simplify 0 into 0
1553948576.350 * [backup-simplify]: Simplify 1 into 1
1553948576.350 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948576.350 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948576.350 * [taylor]: Taking taylor expansion of 2 in k
1553948576.350 * [backup-simplify]: Simplify 2 into 2
1553948576.350 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948576.350 * [taylor]: Taking taylor expansion of n in k
1553948576.350 * [backup-simplify]: Simplify n into n
1553948576.350 * [taylor]: Taking taylor expansion of PI in k
1553948576.350 * [backup-simplify]: Simplify PI into PI
1553948576.350 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948576.350 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948576.350 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948576.351 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.351 * [backup-simplify]: Simplify (- 0) into 0
1553948576.351 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.352 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948576.352 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948576.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553948576.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.352 * [taylor]: Taking taylor expansion of k in k
1553948576.352 * [backup-simplify]: Simplify 0 into 0
1553948576.352 * [backup-simplify]: Simplify 1 into 1
1553948576.352 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.353 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948576.354 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1553948576.354 * [taylor]: Taking taylor expansion of 0 in n
1553948576.354 * [backup-simplify]: Simplify 0 into 0
1553948576.354 * [backup-simplify]: Simplify 0 into 0
1553948576.355 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553948576.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553948576.356 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553948576.357 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948576.357 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.358 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553948576.359 * [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)))))
1553948576.359 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1553948576.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948576.359 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948576.359 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.359 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948576.359 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.359 * [taylor]: Taking taylor expansion of 2 in n
1553948576.359 * [backup-simplify]: Simplify 2 into 2
1553948576.360 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.361 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.361 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.361 * [taylor]: Taking taylor expansion of n in n
1553948576.361 * [backup-simplify]: Simplify 0 into 0
1553948576.361 * [backup-simplify]: Simplify 1 into 1
1553948576.361 * [taylor]: Taking taylor expansion of PI in n
1553948576.361 * [backup-simplify]: Simplify PI into PI
1553948576.361 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.363 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.363 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.364 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.365 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948576.365 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.366 * [backup-simplify]: Simplify (- 0) into 0
1553948576.366 * [backup-simplify]: Simplify 0 into 0
1553948576.366 * [backup-simplify]: Simplify 0 into 0
1553948576.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553948576.370 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948576.371 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.371 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553948576.373 * [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
1553948576.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948576.375 * [backup-simplify]: Simplify (- 0) into 0
1553948576.375 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553948576.377 * [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)))
1553948576.378 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1553948576.378 * [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
1553948576.379 * [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
1553948576.379 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948576.379 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.379 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.379 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948576.379 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948576.379 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.379 * [taylor]: Taking taylor expansion of 2 in n
1553948576.379 * [backup-simplify]: Simplify 2 into 2
1553948576.379 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.380 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.380 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.380 * [taylor]: Taking taylor expansion of 2 in n
1553948576.380 * [backup-simplify]: Simplify 2 into 2
1553948576.380 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.380 * [taylor]: Taking taylor expansion of n in n
1553948576.380 * [backup-simplify]: Simplify 0 into 0
1553948576.380 * [backup-simplify]: Simplify 1 into 1
1553948576.380 * [taylor]: Taking taylor expansion of PI in n
1553948576.380 * [backup-simplify]: Simplify PI into PI
1553948576.381 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.381 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.384 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.385 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.385 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.385 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.385 * [taylor]: Taking taylor expansion of n in n
1553948576.385 * [backup-simplify]: Simplify 0 into 0
1553948576.385 * [backup-simplify]: Simplify 1 into 1
1553948576.385 * [taylor]: Taking taylor expansion of PI in n
1553948576.385 * [backup-simplify]: Simplify PI into PI
1553948576.386 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.388 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.390 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.390 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553948576.390 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948576.390 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.390 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.390 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948576.390 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.390 * [taylor]: Taking taylor expansion of 2 in n
1553948576.390 * [backup-simplify]: Simplify 2 into 2
1553948576.390 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.391 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.391 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.391 * [taylor]: Taking taylor expansion of n in n
1553948576.391 * [backup-simplify]: Simplify 0 into 0
1553948576.391 * [backup-simplify]: Simplify 1 into 1
1553948576.391 * [taylor]: Taking taylor expansion of PI in n
1553948576.391 * [backup-simplify]: Simplify PI into PI
1553948576.392 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.393 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.395 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.398 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948576.399 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948576.400 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.400 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948576.401 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.401 * [backup-simplify]: Simplify (- 0) into 0
1553948576.402 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.402 * [backup-simplify]: Simplify (- 0) into 0
1553948576.402 * [backup-simplify]: Simplify 0 into 0
1553948576.405 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.411 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.414 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.417 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.417 * [backup-simplify]: Simplify 0 into 0
1553948576.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948576.423 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.424 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553948576.427 * [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
1553948576.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553948576.429 * [backup-simplify]: Simplify (- 0) into 0
1553948576.430 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553948576.433 * [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)))
1553948576.434 * [backup-simplify]: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
1553948576.435 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
1553948576.435 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
1553948576.435 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553948576.435 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.435 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.435 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553948576.435 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553948576.435 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.435 * [taylor]: Taking taylor expansion of 2 in n
1553948576.435 * [backup-simplify]: Simplify 2 into 2
1553948576.436 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.437 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.437 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.437 * [taylor]: Taking taylor expansion of 2 in n
1553948576.437 * [backup-simplify]: Simplify 2 into 2
1553948576.437 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.437 * [taylor]: Taking taylor expansion of n in n
1553948576.437 * [backup-simplify]: Simplify 0 into 0
1553948576.437 * [backup-simplify]: Simplify 1 into 1
1553948576.437 * [taylor]: Taking taylor expansion of PI in n
1553948576.437 * [backup-simplify]: Simplify PI into PI
1553948576.437 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.438 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.441 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.443 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.443 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.443 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.443 * [taylor]: Taking taylor expansion of n in n
1553948576.443 * [backup-simplify]: Simplify 0 into 0
1553948576.443 * [backup-simplify]: Simplify 1 into 1
1553948576.443 * [taylor]: Taking taylor expansion of PI in n
1553948576.443 * [backup-simplify]: Simplify PI into PI
1553948576.444 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.445 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.446 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.447 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
1553948576.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
1553948576.448 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553948576.448 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.448 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553948576.448 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.448 * [taylor]: Taking taylor expansion of 2 in n
1553948576.448 * [backup-simplify]: Simplify 2 into 2
1553948576.448 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.452 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.452 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.452 * [taylor]: Taking taylor expansion of n in n
1553948576.452 * [backup-simplify]: Simplify 0 into 0
1553948576.452 * [backup-simplify]: Simplify 1 into 1
1553948576.452 * [taylor]: Taking taylor expansion of PI in n
1553948576.452 * [backup-simplify]: Simplify PI into PI
1553948576.453 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.454 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.455 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.456 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.456 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1553948576.456 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553948576.456 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.456 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.456 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553948576.456 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553948576.456 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553948576.457 * [taylor]: Taking taylor expansion of 2 in n
1553948576.457 * [backup-simplify]: Simplify 2 into 2
1553948576.457 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553948576.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553948576.458 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553948576.458 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.458 * [taylor]: Taking taylor expansion of 2 in n
1553948576.458 * [backup-simplify]: Simplify 2 into 2
1553948576.458 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.458 * [taylor]: Taking taylor expansion of n in n
1553948576.458 * [backup-simplify]: Simplify 0 into 0
1553948576.458 * [backup-simplify]: Simplify 1 into 1
1553948576.458 * [taylor]: Taking taylor expansion of PI in n
1553948576.458 * [backup-simplify]: Simplify PI into PI
1553948576.458 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.459 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.462 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.463 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.465 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.465 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553948576.465 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.465 * [taylor]: Taking taylor expansion of n in n
1553948576.465 * [backup-simplify]: Simplify 0 into 0
1553948576.465 * [backup-simplify]: Simplify 1 into 1
1553948576.465 * [taylor]: Taking taylor expansion of PI in n
1553948576.465 * [backup-simplify]: Simplify PI into PI
1553948576.466 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.467 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.468 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.469 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553948576.471 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.472 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553948576.473 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553948576.473 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.474 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553948576.474 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.475 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.477 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553948576.478 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553948576.479 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553948576.479 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553948576.479 * [backup-simplify]: Simplify (- 0) into 0
1553948576.480 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.480 * [backup-simplify]: Simplify (- 0) into 0
1553948576.480 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.480 * [backup-simplify]: Simplify (- 0) into 0
1553948576.480 * [backup-simplify]: Simplify 0 into 0
1553948576.481 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948576.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948576.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.483 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.484 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948576.486 * [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))))))))
1553948576.490 * [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))))))))
1553948576.491 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.494 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.496 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553948576.502 * [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))))))))))
1553948576.511 * [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)))))))
1553948576.519 * [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)))))))
1553948576.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948576.524 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553948576.525 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553948576.530 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948576.539 * [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))))
1553948576.544 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948576.547 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553948576.561 * [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)))))))))))))
1553948576.562 * [backup-simplify]: Simplify (/ (pow (/ 1 k) -1/2) (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
1553948576.562 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0
1553948576.562 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
1553948576.562 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.562 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.562 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.562 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.562 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.562 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.562 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.562 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.562 * [taylor]: Taking taylor expansion of k in n
1553948576.562 * [backup-simplify]: Simplify k into k
1553948576.562 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.562 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.562 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.562 * [taylor]: Taking taylor expansion of 2 in n
1553948576.562 * [backup-simplify]: Simplify 2 into 2
1553948576.562 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.562 * [taylor]: Taking taylor expansion of PI in n
1553948576.562 * [backup-simplify]: Simplify PI into PI
1553948576.562 * [taylor]: Taking taylor expansion of n in n
1553948576.562 * [backup-simplify]: Simplify 0 into 0
1553948576.562 * [backup-simplify]: Simplify 1 into 1
1553948576.563 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.563 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.564 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.565 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.565 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.565 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.567 * [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)))
1553948576.568 * [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))))
1553948576.569 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553948576.569 * [taylor]: Taking taylor expansion of k in n
1553948576.569 * [backup-simplify]: Simplify k into k
1553948576.569 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553948576.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553948576.569 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553948576.569 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948576.569 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948576.569 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948576.569 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.569 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.569 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.569 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.569 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.569 * [taylor]: Taking taylor expansion of k in k
1553948576.569 * [backup-simplify]: Simplify 0 into 0
1553948576.569 * [backup-simplify]: Simplify 1 into 1
1553948576.570 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.570 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948576.570 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948576.570 * [taylor]: Taking taylor expansion of 2 in k
1553948576.570 * [backup-simplify]: Simplify 2 into 2
1553948576.570 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.570 * [taylor]: Taking taylor expansion of PI in k
1553948576.570 * [backup-simplify]: Simplify PI into PI
1553948576.570 * [taylor]: Taking taylor expansion of n in k
1553948576.570 * [backup-simplify]: Simplify n into n
1553948576.570 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.570 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948576.570 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948576.571 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.571 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.571 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.572 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948576.572 * [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))))
1553948576.572 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948576.572 * [taylor]: Taking taylor expansion of k in k
1553948576.572 * [backup-simplify]: Simplify 0 into 0
1553948576.572 * [backup-simplify]: Simplify 1 into 1
1553948576.572 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948576.577 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553948576.577 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948576.577 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948576.577 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948576.577 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.577 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.577 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.577 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.577 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.577 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.577 * [taylor]: Taking taylor expansion of k in k
1553948576.577 * [backup-simplify]: Simplify 0 into 0
1553948576.577 * [backup-simplify]: Simplify 1 into 1
1553948576.578 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.578 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948576.578 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948576.578 * [taylor]: Taking taylor expansion of 2 in k
1553948576.578 * [backup-simplify]: Simplify 2 into 2
1553948576.578 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.578 * [taylor]: Taking taylor expansion of PI in k
1553948576.578 * [backup-simplify]: Simplify PI into PI
1553948576.578 * [taylor]: Taking taylor expansion of n in k
1553948576.578 * [backup-simplify]: Simplify n into n
1553948576.578 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.578 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948576.578 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948576.579 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.579 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.580 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.580 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948576.580 * [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))))
1553948576.580 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553948576.580 * [taylor]: Taking taylor expansion of k in k
1553948576.580 * [backup-simplify]: Simplify 0 into 0
1553948576.580 * [backup-simplify]: Simplify 1 into 1
1553948576.581 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.582 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553948576.582 * [backup-simplify]: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
1553948576.583 * [taylor]: Taking taylor expansion of 0 in n
1553948576.583 * [backup-simplify]: Simplify 0 into 0
1553948576.583 * [backup-simplify]: Simplify 0 into 0
1553948576.583 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948576.583 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948576.583 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948576.583 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.583 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.583 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.583 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.583 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.584 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.584 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.584 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.584 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.584 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.584 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.584 * [taylor]: Taking taylor expansion of k in n
1553948576.584 * [backup-simplify]: Simplify k into k
1553948576.584 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.584 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.584 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.584 * [taylor]: Taking taylor expansion of 2 in n
1553948576.584 * [backup-simplify]: Simplify 2 into 2
1553948576.584 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.584 * [taylor]: Taking taylor expansion of PI in n
1553948576.584 * [backup-simplify]: Simplify PI into PI
1553948576.584 * [taylor]: Taking taylor expansion of n in n
1553948576.584 * [backup-simplify]: Simplify 0 into 0
1553948576.584 * [backup-simplify]: Simplify 1 into 1
1553948576.585 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.585 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.586 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.586 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.586 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.586 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.588 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.589 * [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)))
1553948576.590 * [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))))
1553948576.591 * [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)))))
1553948576.592 * [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))))))
1553948576.593 * [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))))))
1553948576.593 * [backup-simplify]: Simplify 0 into 0
1553948576.595 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948576.596 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948576.596 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948576.596 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948576.596 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.596 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.596 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.596 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.596 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.596 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.596 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.596 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.596 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.596 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.596 * [taylor]: Taking taylor expansion of k in n
1553948576.597 * [backup-simplify]: Simplify k into k
1553948576.597 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.597 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.597 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.597 * [taylor]: Taking taylor expansion of 2 in n
1553948576.597 * [backup-simplify]: Simplify 2 into 2
1553948576.597 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.597 * [taylor]: Taking taylor expansion of PI in n
1553948576.597 * [backup-simplify]: Simplify PI into PI
1553948576.597 * [taylor]: Taking taylor expansion of n in n
1553948576.597 * [backup-simplify]: Simplify 0 into 0
1553948576.597 * [backup-simplify]: Simplify 1 into 1
1553948576.597 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.598 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.598 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.598 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.598 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.598 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.599 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.600 * [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)))
1553948576.601 * [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))))
1553948576.602 * [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)))))
1553948576.602 * [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))))))
1553948576.603 * [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))))))
1553948576.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.606 * [backup-simplify]: Simplify (- 0) into 0
1553948576.606 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.607 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.607 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948576.608 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553948576.610 * [backup-simplify]: Simplify (- 0) into 0
1553948576.610 * [backup-simplify]: Simplify 0 into 0
1553948576.610 * [backup-simplify]: Simplify 0 into 0
1553948576.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948576.613 * [backup-simplify]: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))
1553948576.613 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553948576.613 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948576.613 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.613 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.613 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.613 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.613 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.613 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.613 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.613 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.613 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.613 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.613 * [taylor]: Taking taylor expansion of k in n
1553948576.613 * [backup-simplify]: Simplify k into k
1553948576.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.613 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.613 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.613 * [taylor]: Taking taylor expansion of 2 in n
1553948576.613 * [backup-simplify]: Simplify 2 into 2
1553948576.613 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.613 * [taylor]: Taking taylor expansion of PI in n
1553948576.613 * [backup-simplify]: Simplify PI into PI
1553948576.613 * [taylor]: Taking taylor expansion of n in n
1553948576.613 * [backup-simplify]: Simplify 0 into 0
1553948576.613 * [backup-simplify]: Simplify 1 into 1
1553948576.613 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.614 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.614 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.614 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.614 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.614 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.615 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.616 * [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)))
1553948576.617 * [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))))
1553948576.617 * [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)))))
1553948576.618 * [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))))))
1553948576.619 * [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))))))
1553948576.621 * [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))))))))
1553948576.622 * [backup-simplify]: Simplify (/ (pow (/ 1 (- k)) -1/2) (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1553948576.622 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1553948576.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.622 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1553948576.622 * [taylor]: Taking taylor expansion of (/ k -1) in n
1553948576.622 * [taylor]: Taking taylor expansion of k in n
1553948576.622 * [backup-simplify]: Simplify k into k
1553948576.622 * [taylor]: Taking taylor expansion of -1 in n
1553948576.622 * [backup-simplify]: Simplify -1 into -1
1553948576.622 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1553948576.622 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1553948576.623 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1553948576.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1553948576.623 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.623 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948576.623 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948576.623 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.624 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.624 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.624 * [taylor]: Taking taylor expansion of k in n
1553948576.624 * [backup-simplify]: Simplify k into k
1553948576.624 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.624 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.624 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.624 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.624 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.624 * [taylor]: Taking taylor expansion of -2 in n
1553948576.624 * [backup-simplify]: Simplify -2 into -2
1553948576.624 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.624 * [taylor]: Taking taylor expansion of PI in n
1553948576.624 * [backup-simplify]: Simplify PI into PI
1553948576.624 * [taylor]: Taking taylor expansion of n in n
1553948576.624 * [backup-simplify]: Simplify 0 into 0
1553948576.624 * [backup-simplify]: Simplify 1 into 1
1553948576.624 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.625 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.626 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.626 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.626 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.627 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.628 * [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)))
1553948576.630 * [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))))
1553948576.630 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553948576.630 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1553948576.630 * [taylor]: Taking taylor expansion of (/ k -1) in k
1553948576.630 * [taylor]: Taking taylor expansion of k in k
1553948576.630 * [backup-simplify]: Simplify 0 into 0
1553948576.630 * [backup-simplify]: Simplify 1 into 1
1553948576.630 * [taylor]: Taking taylor expansion of -1 in k
1553948576.630 * [backup-simplify]: Simplify -1 into -1
1553948576.630 * [backup-simplify]: Simplify (/ 1 -1) into -1
1553948576.631 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.632 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948576.632 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948576.632 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948576.632 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948576.632 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.632 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.632 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.632 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.632 * [taylor]: Taking taylor expansion of k in k
1553948576.632 * [backup-simplify]: Simplify 0 into 0
1553948576.632 * [backup-simplify]: Simplify 1 into 1
1553948576.633 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.633 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.633 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.633 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948576.633 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948576.633 * [taylor]: Taking taylor expansion of -2 in k
1553948576.633 * [backup-simplify]: Simplify -2 into -2
1553948576.633 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.633 * [taylor]: Taking taylor expansion of PI in k
1553948576.633 * [backup-simplify]: Simplify PI into PI
1553948576.633 * [taylor]: Taking taylor expansion of n in k
1553948576.633 * [backup-simplify]: Simplify n into n
1553948576.633 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.633 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948576.633 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948576.634 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.634 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.634 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948576.634 * [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)))
1553948576.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553948576.634 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1553948576.634 * [taylor]: Taking taylor expansion of (/ k -1) in k
1553948576.634 * [taylor]: Taking taylor expansion of k in k
1553948576.634 * [backup-simplify]: Simplify 0 into 0
1553948576.634 * [backup-simplify]: Simplify 1 into 1
1553948576.635 * [taylor]: Taking taylor expansion of -1 in k
1553948576.635 * [backup-simplify]: Simplify -1 into -1
1553948576.635 * [backup-simplify]: Simplify (/ 1 -1) into -1
1553948576.635 * [backup-simplify]: Simplify (sqrt 0) into 0
1553948576.637 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553948576.637 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948576.637 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948576.637 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948576.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.637 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.637 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.637 * [taylor]: Taking taylor expansion of k in k
1553948576.637 * [backup-simplify]: Simplify 0 into 0
1553948576.637 * [backup-simplify]: Simplify 1 into 1
1553948576.637 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.637 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.637 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.637 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948576.637 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948576.637 * [taylor]: Taking taylor expansion of -2 in k
1553948576.638 * [backup-simplify]: Simplify -2 into -2
1553948576.638 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.638 * [taylor]: Taking taylor expansion of PI in k
1553948576.638 * [backup-simplify]: Simplify PI into PI
1553948576.638 * [taylor]: Taking taylor expansion of n in k
1553948576.638 * [backup-simplify]: Simplify n into n
1553948576.638 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.638 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948576.638 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948576.638 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.639 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.639 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948576.639 * [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)))
1553948576.639 * [backup-simplify]: Simplify (* 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
1553948576.639 * [taylor]: Taking taylor expansion of 0 in n
1553948576.639 * [backup-simplify]: Simplify 0 into 0
1553948576.639 * [backup-simplify]: Simplify 0 into 0
1553948576.640 * [backup-simplify]: Simplify (+ (* 0 0) (* +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)))))
1553948576.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948576.640 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948576.640 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.640 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.640 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.640 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.640 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.640 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.640 * [taylor]: Taking taylor expansion of -2 in n
1553948576.640 * [backup-simplify]: Simplify -2 into -2
1553948576.640 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.640 * [taylor]: Taking taylor expansion of PI in n
1553948576.640 * [backup-simplify]: Simplify PI into PI
1553948576.641 * [taylor]: Taking taylor expansion of n in n
1553948576.641 * [backup-simplify]: Simplify 0 into 0
1553948576.641 * [backup-simplify]: Simplify 1 into 1
1553948576.641 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.641 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.642 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.642 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.642 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.643 * [taylor]: Taking taylor expansion of k in n
1553948576.643 * [backup-simplify]: Simplify k into k
1553948576.643 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.643 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.643 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.644 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.644 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.644 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.645 * [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)))
1553948576.646 * [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))))
1553948576.648 * [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)))))
1553948576.649 * [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))))))
1553948576.650 * [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))))))
1553948576.650 * [backup-simplify]: Simplify 0 into 0
1553948576.651 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
1553948576.654 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553948576.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +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)))))
1553948576.654 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948576.654 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948576.654 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.654 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.654 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.655 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.655 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.655 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.655 * [taylor]: Taking taylor expansion of -2 in n
1553948576.655 * [backup-simplify]: Simplify -2 into -2
1553948576.655 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.655 * [taylor]: Taking taylor expansion of PI in n
1553948576.655 * [backup-simplify]: Simplify PI into PI
1553948576.655 * [taylor]: Taking taylor expansion of n in n
1553948576.655 * [backup-simplify]: Simplify 0 into 0
1553948576.655 * [backup-simplify]: Simplify 1 into 1
1553948576.655 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.655 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.656 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.656 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.656 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.656 * [taylor]: Taking taylor expansion of k in n
1553948576.656 * [backup-simplify]: Simplify k into k
1553948576.656 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.656 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.656 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.657 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.657 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.658 * [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)))
1553948576.658 * [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))))
1553948576.659 * [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)))))
1553948576.660 * [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))))))
1553948576.661 * [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))))))
1553948576.662 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.663 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.664 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948576.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948576.666 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553948576.667 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.668 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553948576.668 * [backup-simplify]: Simplify (- 0) into 0
1553948576.668 * [backup-simplify]: Simplify 0 into 0
1553948576.668 * [backup-simplify]: Simplify 0 into 0
1553948576.668 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1553948576.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553948576.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +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)))))
1553948576.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553948576.672 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553948576.672 * [taylor]: Taking taylor expansion of +nan.0 in n
1553948576.672 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553948576.672 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.672 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.672 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.672 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.672 * [taylor]: Taking taylor expansion of -2 in n
1553948576.672 * [backup-simplify]: Simplify -2 into -2
1553948576.672 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.672 * [taylor]: Taking taylor expansion of PI in n
1553948576.672 * [backup-simplify]: Simplify PI into PI
1553948576.672 * [taylor]: Taking taylor expansion of n in n
1553948576.672 * [backup-simplify]: Simplify 0 into 0
1553948576.672 * [backup-simplify]: Simplify 1 into 1
1553948576.672 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.673 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.673 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.673 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.673 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.673 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.673 * [taylor]: Taking taylor expansion of k in n
1553948576.673 * [backup-simplify]: Simplify k into k
1553948576.673 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.673 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.673 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.675 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.675 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.675 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.675 * [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)))
1553948576.676 * [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))))
1553948576.677 * [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)))))
1553948576.677 * [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))))))
1553948576.678 * [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))))))
1553948576.680 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +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)))))) 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 3))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))))))))
1553948576.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1553948576.681 * [backup-simplify]: Simplify (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1553948576.681 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1553948576.681 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553948576.681 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553948576.681 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553948576.681 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553948576.681 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.681 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.681 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.681 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.681 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.681 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.681 * [taylor]: Taking taylor expansion of k in k
1553948576.681 * [backup-simplify]: Simplify 0 into 0
1553948576.681 * [backup-simplify]: Simplify 1 into 1
1553948576.681 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553948576.681 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553948576.681 * [taylor]: Taking taylor expansion of 2 in k
1553948576.681 * [backup-simplify]: Simplify 2 into 2
1553948576.681 * [taylor]: Taking taylor expansion of (* n PI) in k
1553948576.681 * [taylor]: Taking taylor expansion of n in k
1553948576.681 * [backup-simplify]: Simplify n into n
1553948576.681 * [taylor]: Taking taylor expansion of PI in k
1553948576.681 * [backup-simplify]: Simplify PI into PI
1553948576.682 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553948576.682 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553948576.682 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553948576.682 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.683 * [backup-simplify]: Simplify (- 0) into 0
1553948576.683 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.683 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553948576.683 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553948576.683 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553948576.683 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948576.683 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948576.684 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948576.684 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948576.684 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948576.684 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.684 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.684 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948576.684 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.684 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.684 * [taylor]: Taking taylor expansion of k in n
1553948576.684 * [backup-simplify]: Simplify k into k
1553948576.684 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.684 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.684 * [taylor]: Taking taylor expansion of 2 in n
1553948576.684 * [backup-simplify]: Simplify 2 into 2
1553948576.684 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.684 * [taylor]: Taking taylor expansion of n in n
1553948576.684 * [backup-simplify]: Simplify 0 into 0
1553948576.684 * [backup-simplify]: Simplify 1 into 1
1553948576.684 * [taylor]: Taking taylor expansion of PI in n
1553948576.684 * [backup-simplify]: Simplify PI into PI
1553948576.685 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.685 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.690 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.691 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.691 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948576.691 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948576.691 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948576.692 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.692 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948576.693 * [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)))))
1553948576.694 * [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))))))
1553948576.694 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553948576.694 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553948576.694 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553948576.694 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553948576.694 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553948576.694 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.694 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.694 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553948576.694 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.694 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.694 * [taylor]: Taking taylor expansion of k in n
1553948576.694 * [backup-simplify]: Simplify k into k
1553948576.694 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553948576.694 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553948576.694 * [taylor]: Taking taylor expansion of 2 in n
1553948576.694 * [backup-simplify]: Simplify 2 into 2
1553948576.694 * [taylor]: Taking taylor expansion of (* n PI) in n
1553948576.694 * [taylor]: Taking taylor expansion of n in n
1553948576.694 * [backup-simplify]: Simplify 0 into 0
1553948576.694 * [backup-simplify]: Simplify 1 into 1
1553948576.694 * [taylor]: Taking taylor expansion of PI in n
1553948576.694 * [backup-simplify]: Simplify PI into PI
1553948576.694 * [backup-simplify]: Simplify (* 0 PI) into 0
1553948576.695 * [backup-simplify]: Simplify (* 2 0) into 0
1553948576.695 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553948576.696 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553948576.697 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.697 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553948576.697 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553948576.697 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553948576.698 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.699 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553948576.699 * [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)))))
1553948576.700 * [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))))))
1553948576.700 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
1553948576.700 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553948576.700 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553948576.700 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553948576.700 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.700 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.700 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553948576.700 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.700 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.700 * [taylor]: Taking taylor expansion of k in k
1553948576.700 * [backup-simplify]: Simplify 0 into 0
1553948576.700 * [backup-simplify]: Simplify 1 into 1
1553948576.700 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553948576.700 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.700 * [taylor]: Taking taylor expansion of n in k
1553948576.700 * [backup-simplify]: Simplify n into n
1553948576.700 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.701 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948576.701 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948576.701 * [taylor]: Taking taylor expansion of 2 in k
1553948576.701 * [backup-simplify]: Simplify 2 into 2
1553948576.701 * [taylor]: Taking taylor expansion of PI in k
1553948576.701 * [backup-simplify]: Simplify PI into PI
1553948576.701 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.701 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.702 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553948576.702 * [backup-simplify]: Simplify (- 0) into 0
1553948576.702 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.703 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.703 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553948576.704 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553948576.705 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
1553948576.705 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
1553948576.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553948576.706 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553948576.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553948576.708 * [backup-simplify]: Simplify (- 0) into 0
1553948576.708 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.709 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.710 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553948576.711 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
1553948576.712 * [taylor]: Taking taylor expansion of 0 in k
1553948576.712 * [backup-simplify]: Simplify 0 into 0
1553948576.712 * [backup-simplify]: Simplify 0 into 0
1553948576.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553948576.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.714 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.714 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.715 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553948576.715 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.715 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553948576.719 * [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)))))))
1553948576.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
1553948576.727 * [backup-simplify]: Simplify (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))
1553948576.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.730 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553948576.733 * [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
1553948576.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553948576.735 * [backup-simplify]: Simplify (- 0) into 0
1553948576.735 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.736 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553948576.738 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948576.740 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553948576.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
1553948576.744 * [taylor]: Taking taylor expansion of 0 in k
1553948576.744 * [backup-simplify]: Simplify 0 into 0
1553948576.744 * [backup-simplify]: Simplify 0 into 0
1553948576.744 * [backup-simplify]: Simplify 0 into 0
1553948576.746 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553948576.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.750 * [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
1553948576.751 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553948576.752 * [backup-simplify]: Simplify (- 0) into 0
1553948576.753 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.755 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553948576.758 * [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)))))
1553948576.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (/ (* (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))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (/ (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))
1553948576.778 * [backup-simplify]: Simplify (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))))
1553948576.785 * [backup-simplify]: Simplify (+ (* (+ (* 1/4 (/ (* (log n) (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/8 (/ (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/8 (/ (pow (log n) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) (pow (* k 1) 2)) (+ (* (+ (* 1/2 (/ (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (* 1/2 (/ (log n) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* k 1)) (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))))
1553948576.785 * [backup-simplify]: Simplify (/ 1 (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2)))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
1553948576.785 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1553948576.785 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553948576.785 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553948576.785 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553948576.785 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553948576.785 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.785 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.785 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.785 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.785 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.785 * [taylor]: Taking taylor expansion of k in k
1553948576.785 * [backup-simplify]: Simplify 0 into 0
1553948576.785 * [backup-simplify]: Simplify 1 into 1
1553948576.786 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.786 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553948576.786 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553948576.786 * [taylor]: Taking taylor expansion of 2 in k
1553948576.786 * [backup-simplify]: Simplify 2 into 2
1553948576.786 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.786 * [taylor]: Taking taylor expansion of PI in k
1553948576.786 * [backup-simplify]: Simplify PI into PI
1553948576.786 * [taylor]: Taking taylor expansion of n in k
1553948576.786 * [backup-simplify]: Simplify n into n
1553948576.786 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.786 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553948576.786 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553948576.786 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.786 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.787 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.787 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553948576.787 * [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))))
1553948576.787 * [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)))))
1553948576.787 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948576.787 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.787 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.787 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.787 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.787 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.787 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.787 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.787 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.787 * [taylor]: Taking taylor expansion of k in n
1553948576.787 * [backup-simplify]: Simplify k into k
1553948576.787 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.787 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.787 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.787 * [taylor]: Taking taylor expansion of 2 in n
1553948576.787 * [backup-simplify]: Simplify 2 into 2
1553948576.787 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.787 * [taylor]: Taking taylor expansion of PI in n
1553948576.787 * [backup-simplify]: Simplify PI into PI
1553948576.787 * [taylor]: Taking taylor expansion of n in n
1553948576.787 * [backup-simplify]: Simplify 0 into 0
1553948576.787 * [backup-simplify]: Simplify 1 into 1
1553948576.788 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.788 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.789 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.789 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.789 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.789 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.790 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.790 * [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)))
1553948576.791 * [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))))
1553948576.792 * [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)))))
1553948576.792 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553948576.792 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553948576.792 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553948576.792 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553948576.792 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553948576.792 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.792 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.792 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.792 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.792 * [taylor]: Taking taylor expansion of k in n
1553948576.792 * [backup-simplify]: Simplify k into k
1553948576.792 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.792 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553948576.792 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553948576.792 * [taylor]: Taking taylor expansion of 2 in n
1553948576.792 * [backup-simplify]: Simplify 2 into 2
1553948576.792 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.792 * [taylor]: Taking taylor expansion of PI in n
1553948576.792 * [backup-simplify]: Simplify PI into PI
1553948576.792 * [taylor]: Taking taylor expansion of n in n
1553948576.792 * [backup-simplify]: Simplify 0 into 0
1553948576.792 * [backup-simplify]: Simplify 1 into 1
1553948576.792 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.793 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.793 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.793 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.793 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553948576.794 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553948576.794 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.795 * [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)))
1553948576.796 * [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))))
1553948576.796 * [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)))))
1553948576.797 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
1553948576.797 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553948576.797 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553948576.797 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553948576.797 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.797 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.797 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.797 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.797 * [taylor]: Taking taylor expansion of k in k
1553948576.797 * [backup-simplify]: Simplify 0 into 0
1553948576.797 * [backup-simplify]: Simplify 1 into 1
1553948576.797 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.797 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553948576.797 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553948576.797 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553948576.797 * [taylor]: Taking taylor expansion of 2 in k
1553948576.797 * [backup-simplify]: Simplify 2 into 2
1553948576.797 * [taylor]: Taking taylor expansion of PI in k
1553948576.797 * [backup-simplify]: Simplify PI into PI
1553948576.797 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553948576.801 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553948576.801 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.801 * [taylor]: Taking taylor expansion of n in k
1553948576.801 * [backup-simplify]: Simplify n into n
1553948576.801 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.801 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553948576.802 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553948576.802 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948576.802 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553948576.803 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553948576.804 * [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))))
1553948576.804 * [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)))))
1553948576.806 * [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)))))
1553948576.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553948576.810 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553948576.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.811 * [backup-simplify]: Simplify (- 0) into 0
1553948576.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.814 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553948576.817 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.819 * [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
1553948576.819 * [taylor]: Taking taylor expansion of 0 in k
1553948576.819 * [backup-simplify]: Simplify 0 into 0
1553948576.820 * [backup-simplify]: Simplify 0 into 0
1553948576.822 * [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
1553948576.822 * [backup-simplify]: Simplify 0 into 0
1553948576.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.827 * [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
1553948576.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948576.829 * [backup-simplify]: Simplify (- 0) into 0
1553948576.829 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.832 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553948576.834 * [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
1553948576.838 * [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)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1553948576.838 * [taylor]: Taking taylor expansion of 0 in k
1553948576.838 * [backup-simplify]: Simplify 0 into 0
1553948576.838 * [backup-simplify]: Simplify 0 into 0
1553948576.838 * [backup-simplify]: Simplify 0 into 0
1553948576.842 * [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)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1553948576.842 * [backup-simplify]: Simplify 0 into 0
1553948576.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.849 * [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
1553948576.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948576.852 * [backup-simplify]: Simplify (- 0) into 0
1553948576.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553948576.855 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553948576.858 * [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
1553948576.863 * [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)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
1553948576.863 * [taylor]: Taking taylor expansion of 0 in k
1553948576.863 * [backup-simplify]: Simplify 0 into 0
1553948576.863 * [backup-simplify]: Simplify 0 into 0
1553948576.864 * [backup-simplify]: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
1553948576.864 * [backup-simplify]: Simplify (/ 1 (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)))
1553948576.864 * [approximate]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
1553948576.864 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553948576.864 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553948576.864 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553948576.865 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553948576.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.865 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.865 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.865 * [taylor]: Taking taylor expansion of k in k
1553948576.865 * [backup-simplify]: Simplify 0 into 0
1553948576.865 * [backup-simplify]: Simplify 1 into 1
1553948576.865 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.865 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.865 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.865 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553948576.865 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553948576.865 * [taylor]: Taking taylor expansion of -2 in k
1553948576.865 * [backup-simplify]: Simplify -2 into -2
1553948576.865 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553948576.865 * [taylor]: Taking taylor expansion of PI in k
1553948576.865 * [backup-simplify]: Simplify PI into PI
1553948576.865 * [taylor]: Taking taylor expansion of n in k
1553948576.865 * [backup-simplify]: Simplify n into n
1553948576.866 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553948576.866 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553948576.866 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553948576.866 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.867 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.867 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553948576.867 * [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)))
1553948576.867 * [backup-simplify]: Simplify (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
1553948576.867 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.867 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.867 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948576.867 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948576.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.867 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.867 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.867 * [taylor]: Taking taylor expansion of k in n
1553948576.868 * [backup-simplify]: Simplify k into k
1553948576.868 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.868 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.868 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.868 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.868 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.868 * [taylor]: Taking taylor expansion of -2 in n
1553948576.868 * [backup-simplify]: Simplify -2 into -2
1553948576.868 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.868 * [taylor]: Taking taylor expansion of PI in n
1553948576.868 * [backup-simplify]: Simplify PI into PI
1553948576.868 * [taylor]: Taking taylor expansion of n in n
1553948576.868 * [backup-simplify]: Simplify 0 into 0
1553948576.868 * [backup-simplify]: Simplify 1 into 1
1553948576.868 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.870 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.870 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.870 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.872 * [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)))
1553948576.873 * [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))))
1553948576.875 * [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)))))
1553948576.875 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553948576.875 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553948576.875 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553948576.875 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553948576.875 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553948576.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553948576.875 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.875 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553948576.875 * [taylor]: Taking taylor expansion of k in n
1553948576.875 * [backup-simplify]: Simplify k into k
1553948576.875 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553948576.875 * [taylor]: Taking taylor expansion of 1/2 in n
1553948576.875 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.875 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553948576.875 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553948576.875 * [taylor]: Taking taylor expansion of -2 in n
1553948576.875 * [backup-simplify]: Simplify -2 into -2
1553948576.875 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553948576.875 * [taylor]: Taking taylor expansion of PI in n
1553948576.875 * [backup-simplify]: Simplify PI into PI
1553948576.875 * [taylor]: Taking taylor expansion of n in n
1553948576.875 * [backup-simplify]: Simplify 0 into 0
1553948576.875 * [backup-simplify]: Simplify 1 into 1
1553948576.876 * [backup-simplify]: Simplify (/ PI 1) into PI
1553948576.876 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.877 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.877 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553948576.877 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553948576.879 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.880 * [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)))
1553948576.881 * [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))))
1553948576.882 * [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)))))
1553948576.882 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
1553948576.882 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553948576.882 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553948576.882 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553948576.882 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553948576.882 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.882 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553948576.882 * [taylor]: Taking taylor expansion of k in k
1553948576.882 * [backup-simplify]: Simplify 0 into 0
1553948576.882 * [backup-simplify]: Simplify 1 into 1
1553948576.883 * [backup-simplify]: Simplify (/ 1 1) into 1
1553948576.883 * [taylor]: Taking taylor expansion of 1/2 in k
1553948576.883 * [backup-simplify]: Simplify 1/2 into 1/2
1553948576.883 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553948576.883 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553948576.883 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553948576.883 * [taylor]: Taking taylor expansion of -2 in k
1553948576.883 * [backup-simplify]: Simplify -2 into -2
1553948576.883 * [taylor]: Taking taylor expansion of PI in k
1553948576.883 * [backup-simplify]: Simplify PI into PI
1553948576.884 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553948576.884 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553948576.885 * [taylor]: Taking taylor expansion of (log n) in k
1553948576.885 * [taylor]: Taking taylor expansion of n in k
1553948576.885 * [backup-simplify]: Simplify n into n
1553948576.885 * [backup-simplify]: Simplify (log n) into (log n)
1553948576.885 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553948576.885 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553948576.886 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553948576.887 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553948576.888 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553948576.889 * [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))))
1553948576.890 * [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)))))
1553948576.891 * [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)))))
1553948576.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553948576.893 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553948576.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553948576.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553948576.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553948576.895 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.898 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553948576.900 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553948576.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (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
1553948576.902 * [taylor]: Taking taylor expansion of 0 in k
1553948576.902 * [backup-simplify]: Simplify 0 into 0
1553948576.902 * [backup-simplify]: Simplify 0 into 0
1553948576.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (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
1553948576.905 * [backup-simplify]: Simplify 0 into 0
1553948576.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.907 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553948576.910 * [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
1553948576.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553948576.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.913 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.914 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553948576.917 * [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
1553948576.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (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)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1553948576.920 * [taylor]: Taking taylor expansion of 0 in k
1553948576.921 * [backup-simplify]: Simplify 0 into 0
1553948576.921 * [backup-simplify]: Simplify 0 into 0
1553948576.921 * [backup-simplify]: Simplify 0 into 0
1553948576.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (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)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1553948576.923 * [backup-simplify]: Simplify 0 into 0
1553948576.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553948576.924 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553948576.928 * [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
1553948576.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553948576.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553948576.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1553948576.930 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553948576.931 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553948576.934 * [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
1553948576.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (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)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (* 0 (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0
1553948576.937 * [taylor]: Taking taylor expansion of 0 in k
1553948576.937 * [backup-simplify]: Simplify 0 into 0
1553948576.937 * [backup-simplify]: Simplify 0 into 0
1553948576.938 * [backup-simplify]: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
1553948576.938 * * * [progress]: simplifying candidates
1553948576.938 * * * * [progress]: [ 1 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (log1p (expm1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948576.938 * * * * [progress]: [ 2 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (expm1 (log1p (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948576.938 * * * * [progress]: [ 3 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948576.938 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553948576.939 * * [simplify]: iters left: 6 (11 enodes)
1553948576.942 * * [simplify]: iters left: 5 (43 enodes)
1553948576.949 * * [simplify]: iters left: 4 (79 enodes)
1553948576.975 * * [simplify]: iters left: 3 (178 enodes)
1553948577.052 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.052 * * [simplify]: Extracting #1: cost 49 inf + 0
1553948577.053 * * [simplify]: Extracting #2: cost 115 inf + 1
1553948577.054 * * [simplify]: Extracting #3: cost 122 inf + 547
1553948577.056 * * [simplify]: Extracting #4: cost 98 inf + 3382
1553948577.063 * * [simplify]: Extracting #5: cost 29 inf + 17882
1553948577.069 * * [simplify]: Extracting #6: cost 1 inf + 26098
1553948577.075 * * [simplify]: Extracting #7: cost 0 inf + 26523
1553948577.082 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553948577.082 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553948577.082 * * * * [progress]: [ 4 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948577.082 * * * * [progress]: [ 5 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553948577.082 * [simplify]: Simplifying (* (* n 2) PI)
1553948577.082 * * [simplify]: iters left: 4 (5 enodes)
1553948577.084 * * [simplify]: iters left: 3 (19 enodes)
1553948577.087 * * [simplify]: iters left: 2 (27 enodes)
1553948577.091 * * [simplify]: iters left: 1 (32 enodes)
1553948577.095 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.095 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948577.095 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948577.095 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948577.095 * [simplify]: Simplified to (* (* n 2) PI)
1553948577.095 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553948577.096 * * * * [progress]: [ 6 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553948577.096 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948577.096 * * [simplify]: iters left: 5 (8 enodes)
1553948577.099 * * [simplify]: iters left: 4 (28 enodes)
1553948577.108 * * [simplify]: iters left: 3 (36 enodes)
1553948577.118 * * [simplify]: iters left: 2 (41 enodes)
1553948577.128 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.128 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948577.128 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948577.129 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948577.129 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948577.129 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948577.130 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948577.130 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))
1553948577.130 * * * * [progress]: [ 7 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
1553948577.130 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553948577.130 * * [simplify]: iters left: 5 (6 enodes)
1553948577.134 * * [simplify]: iters left: 4 (20 enodes)
1553948577.140 * * [simplify]: iters left: 3 (25 enodes)
1553948577.148 * * [simplify]: iters left: 2 (27 enodes)
1553948577.158 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.158 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948577.159 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948577.159 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948577.159 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948577.159 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948577.159 * * [simplify]: Extracting #6: cost 1 inf + 662
1553948577.160 * * [simplify]: Extracting #7: cost 0 inf + 825
1553948577.160 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553948577.160 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))
1553948577.160 * * * * [progress]: [ 8 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1553948577.160 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553948577.161 * * [simplify]: iters left: 5 (6 enodes)
1553948577.164 * * [simplify]: iters left: 4 (20 enodes)
1553948577.170 * * [simplify]: iters left: 3 (25 enodes)
1553948577.177 * * [simplify]: iters left: 2 (27 enodes)
1553948577.182 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.182 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948577.182 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948577.182 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948577.182 * * [simplify]: Extracting #4: cost 9 inf + 44
1553948577.182 * * [simplify]: Extracting #5: cost 5 inf + 291
1553948577.182 * * [simplify]: Extracting #6: cost 1 inf + 622
1553948577.182 * * [simplify]: Extracting #7: cost 0 inf + 745
1553948577.182 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553948577.182 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))
1553948577.182 * * * * [progress]: [ 9 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948577.183 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553948577.183 * * [simplify]: iters left: 4 (5 enodes)
1553948577.184 * * [simplify]: iters left: 3 (17 enodes)
1553948577.187 * * [simplify]: iters left: 2 (22 enodes)
1553948577.190 * * [simplify]: iters left: 1 (24 enodes)
1553948577.194 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.194 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948577.194 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948577.194 * * [simplify]: Extracting #3: cost 1 inf + 458
1553948577.195 * * [simplify]: Extracting #4: cost 0 inf + 499
1553948577.195 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553948577.195 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1553948577.195 * * * * [progress]: [ 10 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948577.195 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948577.195 * * [simplify]: iters left: 5 (9 enodes)
1553948577.197 * * [simplify]: iters left: 4 (33 enodes)
1553948577.202 * * [simplify]: iters left: 3 (43 enodes)
1553948577.208 * * [simplify]: iters left: 2 (48 enodes)
1553948577.214 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.214 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948577.214 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948577.214 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948577.214 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948577.215 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948577.215 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948577.215 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948577.215 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1553948577.215 * * * * [progress]: [ 11 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553948577.216 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948577.216 * * [simplify]: iters left: 5 (9 enodes)
1553948577.218 * * [simplify]: iters left: 4 (33 enodes)
1553948577.223 * * [simplify]: iters left: 3 (43 enodes)
1553948577.229 * * [simplify]: iters left: 2 (48 enodes)
1553948577.235 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.235 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948577.235 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948577.235 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948577.235 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948577.235 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948577.236 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948577.236 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948577.236 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))))))
1553948577.236 * * * * [progress]: [ 12 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553948577.236 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553948577.236 * * [simplify]: iters left: 5 (8 enodes)
1553948577.240 * * [simplify]: iters left: 4 (27 enodes)
1553948577.247 * * [simplify]: iters left: 3 (32 enodes)
1553948577.257 * * [simplify]: iters left: 2 (34 enodes)
1553948577.265 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.265 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948577.265 * * [simplify]: Extracting #2: cost 11 inf + 0
1553948577.265 * * [simplify]: Extracting #3: cost 12 inf + 3
1553948577.265 * * [simplify]: Extracting #4: cost 8 inf + 171
1553948577.265 * * [simplify]: Extracting #5: cost 1 inf + 918
1553948577.266 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553948577.266 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553948577.266 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))
1553948577.266 * * * * [progress]: [ 13 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553948577.266 * * * * [progress]: [ 14 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.266 * * * * [progress]: [ 15 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.266 * * * * [progress]: [ 16 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 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))))))))>
1553948577.266 * * * * [progress]: [ 17 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 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))))))))>
1553948577.267 * * * * [progress]: [ 18 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.267 * * * * [progress]: [ 19 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948577.267 * * * * [progress]: [ 20 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.267 * * * * [progress]: [ 21 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (log1p (expm1 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 22 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (expm1 (log1p (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 23 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 24 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 25 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 26 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 27 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 28 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 29 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 30 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 31 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 32 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553948577.267 * * * * [progress]: [ 33 / 115 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.267 * * * * [progress]: [ 34 / 115 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.267 * * * * [progress]: [ 35 / 115 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553948577.267 * * * * [progress]: [ 36 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948577.268 * [simplify]: Simplifying (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948577.268 * * [simplify]: iters left: 6 (16 enodes)
1553948577.275 * * [simplify]: iters left: 5 (66 enodes)
1553948577.294 * * [simplify]: iters left: 4 (126 enodes)
1553948577.325 * * [simplify]: iters left: 3 (316 enodes)
1553948577.436 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.436 * * [simplify]: Extracting #1: cost 29 inf + 0
1553948577.437 * * [simplify]: Extracting #2: cost 181 inf + 1
1553948577.438 * * [simplify]: Extracting #3: cost 250 inf + 299
1553948577.440 * * [simplify]: Extracting #4: cost 202 inf + 8444
1553948577.448 * * [simplify]: Extracting #5: cost 52 inf + 45397
1553948577.460 * * [simplify]: Extracting #6: cost 1 inf + 60146
1553948577.473 * * [simplify]: Extracting #7: cost 0 inf + 59569
1553948577.499 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1553948577.499 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))))
1553948577.499 * * * * [progress]: [ 37 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948577.499 * [simplify]: Simplifying (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948577.499 * * [simplify]: iters left: 6 (16 enodes)
1553948577.506 * * [simplify]: iters left: 5 (66 enodes)
1553948577.520 * * [simplify]: iters left: 4 (126 enodes)
1553948577.550 * * [simplify]: iters left: 3 (316 enodes)
1553948577.672 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948577.672 * * [simplify]: Extracting #1: cost 29 inf + 0
1553948577.673 * * [simplify]: Extracting #2: cost 181 inf + 1
1553948577.674 * * [simplify]: Extracting #3: cost 250 inf + 299
1553948577.676 * * [simplify]: Extracting #4: cost 202 inf + 8444
1553948577.684 * * [simplify]: Extracting #5: cost 52 inf + 45397
1553948577.700 * * [simplify]: Extracting #6: cost 1 inf + 60146
1553948577.728 * * [simplify]: Extracting #7: cost 0 inf + 59569
1553948577.741 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1553948577.741 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))))
1553948577.741 * * * * [progress]: [ 38 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948577.741 * [simplify]: Simplifying (- (* (log k) -1/2) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948577.741 * * [simplify]: iters left: 6 (16 enodes)
1553948577.746 * * [simplify]: iters left: 5 (60 enodes)
1553948577.755 * * [simplify]: iters left: 4 (88 enodes)
1553948577.783 * * [simplify]: iters left: 3 (173 enodes)
1553948577.837 * * [simplify]: iters left: 2 (453 enodes)
1553948578.118 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948578.118 * * [simplify]: Extracting #1: cost 57 inf + 0
1553948578.120 * * [simplify]: Extracting #2: cost 233 inf + 1
1553948578.123 * * [simplify]: Extracting #3: cost 292 inf + 618
1553948578.127 * * [simplify]: Extracting #4: cost 263 inf + 6605
1553948578.134 * * [simplify]: Extracting #5: cost 126 inf + 35060
1553948578.150 * * [simplify]: Extracting #6: cost 12 inf + 71281
1553948578.185 * * [simplify]: Extracting #7: cost 0 inf + 75856
1553948578.221 * [simplify]: Simplified to (fma -1/2 (log k) (* (- 1/2 (/ k 2)) (log (* PI (* n 2)))))
1553948578.221 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (- 1/2 (/ k 2)) (log (* PI (* n 2)))))))
1553948578.221 * * * * [progress]: [ 39 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948578.222 * [simplify]: Simplifying (- (* (log k) -1/2) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948578.222 * * [simplify]: iters left: 6 (17 enodes)
1553948578.231 * * [simplify]: iters left: 5 (67 enodes)
1553948578.253 * * [simplify]: iters left: 4 (87 enodes)
1553948578.277 * * [simplify]: iters left: 3 (115 enodes)
1553948578.313 * * [simplify]: iters left: 2 (208 enodes)
1553948578.422 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948578.422 * * [simplify]: Extracting #1: cost 28 inf + 0
1553948578.423 * * [simplify]: Extracting #2: cost 130 inf + 1
1553948578.424 * * [simplify]: Extracting #3: cost 162 inf + 412
1553948578.429 * * [simplify]: Extracting #4: cost 151 inf + 2649
1553948578.436 * * [simplify]: Extracting #5: cost 62 inf + 22161
1553948578.451 * * [simplify]: Extracting #6: cost 5 inf + 35244
1553948578.466 * * [simplify]: Extracting #7: cost 0 inf + 35002
1553948578.481 * * [simplify]: Extracting #8: cost 0 inf + 34908
1553948578.495 * [simplify]: Simplified to (fma (log k) -1/2 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
1553948578.495 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma (log k) -1/2 (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))
1553948578.495 * * * * [progress]: [ 40 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948578.496 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948578.496 * * [simplify]: iters left: 6 (16 enodes)
1553948578.500 * * [simplify]: iters left: 5 (66 enodes)
1553948578.511 * * [simplify]: iters left: 4 (129 enodes)
1553948578.548 * * [simplify]: iters left: 3 (319 enodes)
1553948578.701 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948578.701 * * [simplify]: Extracting #1: cost 28 inf + 0
1553948578.702 * * [simplify]: Extracting #2: cost 180 inf + 1
1553948578.704 * * [simplify]: Extracting #3: cost 248 inf + 582
1553948578.708 * * [simplify]: Extracting #4: cost 196 inf + 10102
1553948578.726 * * [simplify]: Extracting #5: cost 47 inf + 45624
1553948578.751 * * [simplify]: Extracting #6: cost 0 inf + 59414
1553948578.778 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1553948578.778 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))))
1553948578.779 * * * * [progress]: [ 41 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948578.779 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553948578.779 * * [simplify]: iters left: 6 (16 enodes)
1553948578.783 * * [simplify]: iters left: 5 (66 enodes)
1553948578.794 * * [simplify]: iters left: 4 (129 enodes)
1553948578.827 * * [simplify]: iters left: 3 (319 enodes)
1553948578.951 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948578.951 * * [simplify]: Extracting #1: cost 28 inf + 0
1553948578.952 * * [simplify]: Extracting #2: cost 180 inf + 1
1553948578.953 * * [simplify]: Extracting #3: cost 248 inf + 582
1553948578.955 * * [simplify]: Extracting #4: cost 196 inf + 10102
1553948578.964 * * [simplify]: Extracting #5: cost 47 inf + 45624
1553948578.977 * * [simplify]: Extracting #6: cost 0 inf + 59414
1553948578.994 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))
1553948578.994 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))))
1553948578.995 * * * * [progress]: [ 42 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948578.995 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948578.995 * * [simplify]: iters left: 6 (16 enodes)
1553948579.003 * * [simplify]: iters left: 5 (60 enodes)
1553948579.021 * * [simplify]: iters left: 4 (91 enodes)
1553948579.056 * * [simplify]: iters left: 3 (176 enodes)
1553948579.118 * * [simplify]: iters left: 2 (456 enodes)
1553948579.359 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948579.360 * * [simplify]: Extracting #1: cost 56 inf + 0
1553948579.361 * * [simplify]: Extracting #2: cost 232 inf + 1
1553948579.364 * * [simplify]: Extracting #3: cost 289 inf + 1323
1553948579.369 * * [simplify]: Extracting #4: cost 235 inf + 12436
1553948579.389 * * [simplify]: Extracting #5: cost 73 inf + 52140
1553948579.418 * * [simplify]: Extracting #6: cost 2 inf + 75265
1553948579.436 * * [simplify]: Extracting #7: cost 0 inf + 75751
1553948579.454 * [simplify]: Simplified to (fma -1/2 (log k) (* (- 1/2 (/ k 2)) (log (* PI (* n 2)))))
1553948579.454 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (- 1/2 (/ k 2)) (log (* PI (* n 2)))))))
1553948579.454 * * * * [progress]: [ 43 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.455 * [simplify]: Simplifying (- (log (pow k -1/2)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948579.455 * * [simplify]: iters left: 6 (17 enodes)
1553948579.460 * * [simplify]: iters left: 5 (67 enodes)
1553948579.474 * * [simplify]: iters left: 4 (90 enodes)
1553948579.496 * * [simplify]: iters left: 3 (118 enodes)
1553948579.515 * * [simplify]: iters left: 2 (211 enodes)
1553948579.585 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948579.585 * * [simplify]: Extracting #1: cost 28 inf + 0
1553948579.586 * * [simplify]: Extracting #2: cost 131 inf + 1
1553948579.587 * * [simplify]: Extracting #3: cost 161 inf + 964
1553948579.589 * * [simplify]: Extracting #4: cost 157 inf + 2085
1553948579.595 * * [simplify]: Extracting #5: cost 65 inf + 20186
1553948579.605 * * [simplify]: Extracting #6: cost 0 inf + 37246
1553948579.612 * * [simplify]: Extracting #7: cost 0 inf + 35192
1553948579.620 * * [simplify]: Extracting #8: cost 0 inf + 35168
1553948579.627 * [simplify]: Simplified to (fma -1/2 (log k) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
1553948579.627 * [simplify]: Simplified (2 1) to (λ (k n) (exp (fma -1/2 (log k) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))
1553948579.627 * * * * [progress]: [ 44 / 115 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.627 * * * * [progress]: [ 45 / 115 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.627 * * * * [progress]: [ 46 / 115 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (/ 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))))))))>
1553948579.627 * [simplify]: Simplifying (/ (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (/ 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))))))
1553948579.628 * * [simplify]: iters left: 6 (19 enodes)
1553948579.633 * * [simplify]: iters left: 5 (80 enodes)
1553948579.662 * * [simplify]: iters left: 4 (148 enodes)
1553948579.717 * * [simplify]: iters left: 3 (315 enodes)
1553948579.854 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948579.855 * * [simplify]: Extracting #1: cost 42 inf + 0
1553948579.855 * * [simplify]: Extracting #2: cost 83 inf + 2
1553948579.856 * * [simplify]: Extracting #3: cost 92 inf + 4
1553948579.857 * * [simplify]: Extracting #4: cost 85 inf + 2070
1553948579.863 * * [simplify]: Extracting #5: cost 41 inf + 22088
1553948579.880 * * [simplify]: Extracting #6: cost 2 inf + 45999
1553948579.901 * * [simplify]: Extracting #7: cost 0 inf + 46870
1553948579.919 * * [simplify]: Extracting #8: cost 0 inf + 46790
1553948579.929 * [simplify]: Simplified to (* (* (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))
1553948579.930 * [simplify]: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))) (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (* (pow k -1/2) (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
1553948579.930 * * * * [progress]: [ 47 / 115 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.930 * * * * [progress]: [ 48 / 115 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.930 * * * * [progress]: [ 49 / 115 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.930 * * * * [progress]: [ 50 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow k -1/2)) (- (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948579.930 * * * * [progress]: [ 51 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948579.930 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948579.930 * * [simplify]: iters left: 6 (19 enodes)
1553948579.935 * * [simplify]: iters left: 5 (71 enodes)
1553948579.947 * * [simplify]: iters left: 4 (101 enodes)
1553948579.964 * * [simplify]: iters left: 3 (116 enodes)
1553948579.990 * * [simplify]: iters left: 2 (119 enodes)
1553948580.005 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.005 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948580.005 * * [simplify]: Extracting #2: cost 22 inf + 0
1553948580.005 * * [simplify]: Extracting #3: cost 28 inf + 0
1553948580.006 * * [simplify]: Extracting #4: cost 28 inf + 3
1553948580.006 * * [simplify]: Extracting #5: cost 34 inf + 1383
1553948580.006 * * [simplify]: Extracting #6: cost 32 inf + 1845
1553948580.006 * * [simplify]: Extracting #7: cost 18 inf + 5701
1553948580.008 * * [simplify]: Extracting #8: cost 4 inf + 13426
1553948580.009 * * [simplify]: Extracting #9: cost 0 inf + 16483
1553948580.011 * [simplify]: Simplified to (* (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))))
1553948580.011 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))) (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948580.012 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.012 * * [simplify]: iters left: 6 (17 enodes)
1553948580.019 * * [simplify]: iters left: 5 (59 enodes)
1553948580.039 * * [simplify]: iters left: 4 (74 enodes)
1553948580.060 * * [simplify]: iters left: 3 (81 enodes)
1553948580.075 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.075 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.075 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948580.075 * * [simplify]: Extracting #3: cost 14 inf + 0
1553948580.075 * * [simplify]: Extracting #4: cost 14 inf + 3
1553948580.075 * * [simplify]: Extracting #5: cost 21 inf + 1011
1553948580.075 * * [simplify]: Extracting #6: cost 20 inf + 1222
1553948580.075 * * [simplify]: Extracting #7: cost 9 inf + 2221
1553948580.076 * * [simplify]: Extracting #8: cost 2 inf + 4834
1553948580.076 * * [simplify]: Extracting #9: cost 0 inf + 6157
1553948580.077 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.077 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948580.077 * * * * [progress]: [ 52 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948580.078 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.078 * * [simplify]: iters left: 6 (18 enodes)
1553948580.082 * * [simplify]: iters left: 5 (64 enodes)
1553948580.092 * * [simplify]: iters left: 4 (83 enodes)
1553948580.111 * * [simplify]: iters left: 3 (93 enodes)
1553948580.135 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.136 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948580.136 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948580.136 * * [simplify]: Extracting #3: cost 20 inf + 0
1553948580.136 * * [simplify]: Extracting #4: cost 20 inf + 3
1553948580.136 * * [simplify]: Extracting #5: cost 28 inf + 719
1553948580.136 * * [simplify]: Extracting #6: cost 23 inf + 1638
1553948580.137 * * [simplify]: Extracting #7: cost 10 inf + 4132
1553948580.139 * * [simplify]: Extracting #8: cost 2 inf + 8275
1553948580.141 * * [simplify]: Extracting #9: cost 0 inf + 9889
1553948580.143 * [simplify]: Simplified to (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
1553948580.143 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2)))))) (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948580.144 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.144 * * [simplify]: iters left: 6 (17 enodes)
1553948580.153 * * [simplify]: iters left: 5 (59 enodes)
1553948580.168 * * [simplify]: iters left: 4 (74 enodes)
1553948580.181 * * [simplify]: iters left: 3 (81 enodes)
1553948580.191 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.191 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.191 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948580.191 * * [simplify]: Extracting #3: cost 14 inf + 0
1553948580.191 * * [simplify]: Extracting #4: cost 14 inf + 3
1553948580.191 * * [simplify]: Extracting #5: cost 21 inf + 1011
1553948580.192 * * [simplify]: Extracting #6: cost 20 inf + 1222
1553948580.192 * * [simplify]: Extracting #7: cost 9 inf + 2221
1553948580.192 * * [simplify]: Extracting #8: cost 2 inf + 4754
1553948580.194 * * [simplify]: Extracting #9: cost 0 inf + 5997
1553948580.195 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.195 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948580.195 * * * * [progress]: [ 53 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1) (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948580.196 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1)
1553948580.196 * * [simplify]: iters left: 6 (7 enodes)
1553948580.200 * * [simplify]: iters left: 5 (23 enodes)
1553948580.208 * * [simplify]: iters left: 4 (33 enodes)
1553948580.218 * * [simplify]: iters left: 3 (34 enodes)
1553948580.228 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.228 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948580.228 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948580.228 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948580.228 * * [simplify]: Extracting #4: cost 8 inf + 3
1553948580.228 * * [simplify]: Extracting #5: cost 1 inf + 2009
1553948580.229 * * [simplify]: Extracting #6: cost 0 inf + 2341
1553948580.229 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553948580.229 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948580.230 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948580.230 * * [simplify]: iters left: 6 (16 enodes)
1553948580.238 * * [simplify]: iters left: 5 (58 enodes)
1553948580.257 * * [simplify]: iters left: 4 (74 enodes)
1553948580.280 * * [simplify]: iters left: 3 (88 enodes)
1553948580.304 * * [simplify]: iters left: 2 (89 enodes)
1553948580.328 * * [simplify]: iters left: 1 (91 enodes)
1553948580.340 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.340 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948580.340 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948580.340 * * [simplify]: Extracting #3: cost 27 inf + 1
1553948580.340 * * [simplify]: Extracting #4: cost 27 inf + 7
1553948580.340 * * [simplify]: Extracting #5: cost 14 inf + 1890
1553948580.341 * * [simplify]: Extracting #6: cost 2 inf + 4467
1553948580.342 * * [simplify]: Extracting #7: cost 0 inf + 5589
1553948580.342 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948580.342 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.343 * * * * [progress]: [ 54 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1) (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948580.343 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1)
1553948580.343 * * [simplify]: iters left: 6 (7 enodes)
1553948580.345 * * [simplify]: iters left: 5 (23 enodes)
1553948580.349 * * [simplify]: iters left: 4 (33 enodes)
1553948580.354 * * [simplify]: iters left: 3 (34 enodes)
1553948580.360 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.360 * * [simplify]: Extracting #1: cost 5 inf + 0
1553948580.360 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948580.361 * * [simplify]: Extracting #3: cost 10 inf + 1
1553948580.361 * * [simplify]: Extracting #4: cost 8 inf + 3
1553948580.361 * * [simplify]: Extracting #5: cost 1 inf + 2009
1553948580.361 * * [simplify]: Extracting #6: cost 0 inf + 2341
1553948580.362 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553948580.362 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948580.362 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948580.362 * * [simplify]: iters left: 6 (16 enodes)
1553948580.370 * * [simplify]: iters left: 5 (58 enodes)
1553948580.389 * * [simplify]: iters left: 4 (74 enodes)
1553948580.410 * * [simplify]: iters left: 3 (88 enodes)
1553948580.425 * * [simplify]: iters left: 2 (89 enodes)
1553948580.438 * * [simplify]: iters left: 1 (91 enodes)
1553948580.452 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.452 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948580.452 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948580.453 * * [simplify]: Extracting #3: cost 27 inf + 1
1553948580.453 * * [simplify]: Extracting #4: cost 27 inf + 7
1553948580.453 * * [simplify]: Extracting #5: cost 14 inf + 1890
1553948580.454 * * [simplify]: Extracting #6: cost 2 inf + 4467
1553948580.456 * * [simplify]: Extracting #7: cost 0 inf + 5589
1553948580.457 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948580.457 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.457 * * * * [progress]: [ 55 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (cbrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948580.457 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948580.458 * * [simplify]: iters left: 6 (15 enodes)
1553948580.465 * * [simplify]: iters left: 5 (56 enodes)
1553948580.477 * * [simplify]: iters left: 4 (75 enodes)
1553948580.489 * * [simplify]: iters left: 3 (108 enodes)
1553948580.508 * * [simplify]: iters left: 2 (121 enodes)
1553948580.545 * * [simplify]: iters left: 1 (152 enodes)
1553948580.590 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.590 * * [simplify]: Extracting #1: cost 11 inf + 0
1553948580.590 * * [simplify]: Extracting #2: cost 21 inf + 1
1553948580.590 * * [simplify]: Extracting #3: cost 30 inf + 2
1553948580.590 * * [simplify]: Extracting #4: cost 27 inf + 49
1553948580.591 * * [simplify]: Extracting #5: cost 13 inf + 2547
1553948580.592 * * [simplify]: Extracting #6: cost 2 inf + 6107
1553948580.595 * * [simplify]: Extracting #7: cost 0 inf + 6975
1553948580.597 * [simplify]: Simplified to (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (* PI (* 2 n))))
1553948580.597 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (* PI (* 2 n)))) (/ (cbrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1553948580.597 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))
1553948580.597 * * [simplify]: iters left: 6 (12 enodes)
1553948580.604 * * [simplify]: iters left: 5 (40 enodes)
1553948580.616 * * [simplify]: iters left: 4 (48 enodes)
1553948580.630 * * [simplify]: iters left: 3 (53 enodes)
1553948580.644 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.644 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.644 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948580.644 * * [simplify]: Extracting #3: cost 20 inf + 0
1553948580.644 * * [simplify]: Extracting #4: cost 17 inf + 47
1553948580.644 * * [simplify]: Extracting #5: cost 5 inf + 1223
1553948580.645 * * [simplify]: Extracting #6: cost 2 inf + 2514
1553948580.646 * * [simplify]: Extracting #7: cost 0 inf + 3513
1553948580.646 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))
1553948580.646 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (* PI (* 2 n)))) (/ (cbrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))))
1553948580.646 * * * * [progress]: [ 56 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow k -1/2)) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948580.647 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948580.647 * * [simplify]: iters left: 6 (18 enodes)
1553948580.655 * * [simplify]: iters left: 5 (64 enodes)
1553948580.668 * * [simplify]: iters left: 4 (81 enodes)
1553948580.679 * * [simplify]: iters left: 3 (88 enodes)
1553948580.691 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.691 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948580.691 * * [simplify]: Extracting #2: cost 12 inf + 0
1553948580.691 * * [simplify]: Extracting #3: cost 18 inf + 0
1553948580.691 * * [simplify]: Extracting #4: cost 18 inf + 3
1553948580.691 * * [simplify]: Extracting #5: cost 25 inf + 931
1553948580.692 * * [simplify]: Extracting #6: cost 21 inf + 1642
1553948580.692 * * [simplify]: Extracting #7: cost 7 inf + 4502
1553948580.693 * * [simplify]: Extracting #8: cost 1 inf + 7896
1553948580.694 * * [simplify]: Extracting #9: cost 0 inf + 8723
1553948580.695 * [simplify]: Simplified to (/ (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.695 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948580.695 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.695 * * [simplify]: iters left: 6 (17 enodes)
1553948580.702 * * [simplify]: iters left: 5 (59 enodes)
1553948580.721 * * [simplify]: iters left: 4 (74 enodes)
1553948580.742 * * [simplify]: iters left: 3 (81 enodes)
1553948580.763 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.763 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.764 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948580.764 * * [simplify]: Extracting #3: cost 14 inf + 0
1553948580.764 * * [simplify]: Extracting #4: cost 14 inf + 3
1553948580.764 * * [simplify]: Extracting #5: cost 21 inf + 931
1553948580.764 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553948580.765 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553948580.766 * * [simplify]: Extracting #8: cost 2 inf + 4714
1553948580.767 * * [simplify]: Extracting #9: cost 0 inf + 5997
1553948580.769 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.769 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow k -1/2)) (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948580.769 * * * * [progress]: [ 57 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948580.769 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.769 * * [simplify]: iters left: 6 (17 enodes)
1553948580.778 * * [simplify]: iters left: 5 (59 enodes)
1553948580.801 * * [simplify]: iters left: 4 (74 enodes)
1553948580.823 * * [simplify]: iters left: 3 (81 enodes)
1553948580.839 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.839 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.839 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948580.839 * * [simplify]: Extracting #3: cost 14 inf + 0
1553948580.839 * * [simplify]: Extracting #4: cost 14 inf + 3
1553948580.839 * * [simplify]: Extracting #5: cost 21 inf + 931
1553948580.839 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553948580.840 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553948580.840 * * [simplify]: Extracting #8: cost 2 inf + 4634
1553948580.841 * * [simplify]: Extracting #9: cost 0 inf + 5837
1553948580.842 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.842 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948580.842 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948580.842 * * [simplify]: iters left: 6 (17 enodes)
1553948580.846 * * [simplify]: iters left: 5 (59 enodes)
1553948580.855 * * [simplify]: iters left: 4 (74 enodes)
1553948580.867 * * [simplify]: iters left: 3 (81 enodes)
1553948580.888 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.888 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.888 * * [simplify]: Extracting #2: cost 8 inf + 0
1553948580.888 * * [simplify]: Extracting #3: cost 14 inf + 0
1553948580.888 * * [simplify]: Extracting #4: cost 14 inf + 3
1553948580.888 * * [simplify]: Extracting #5: cost 21 inf + 931
1553948580.889 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553948580.889 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553948580.890 * * [simplify]: Extracting #8: cost 2 inf + 4634
1553948580.892 * * [simplify]: Extracting #9: cost 0 inf + 5837
1553948580.893 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.893 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))))
1553948580.893 * * * * [progress]: [ 58 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow k -1/2)) 1) (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948580.894 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) 1)
1553948580.894 * * [simplify]: iters left: 4 (6 enodes)
1553948580.897 * * [simplify]: iters left: 3 (18 enodes)
1553948580.902 * * [simplify]: iters left: 2 (20 enodes)
1553948580.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.905 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.905 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948580.906 * * [simplify]: Extracting #3: cost 4 inf + 3
1553948580.906 * * [simplify]: Extracting #4: cost 0 inf + 931
1553948580.906 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553948580.906 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948580.907 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948580.907 * * [simplify]: iters left: 6 (16 enodes)
1553948580.911 * * [simplify]: iters left: 5 (58 enodes)
1553948580.920 * * [simplify]: iters left: 4 (74 enodes)
1553948580.937 * * [simplify]: iters left: 3 (88 enodes)
1553948580.961 * * [simplify]: iters left: 2 (89 enodes)
1553948580.972 * * [simplify]: iters left: 1 (91 enodes)
1553948580.983 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.983 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948580.983 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948580.983 * * [simplify]: Extracting #3: cost 27 inf + 1
1553948580.983 * * [simplify]: Extracting #4: cost 27 inf + 7
1553948580.983 * * [simplify]: Extracting #5: cost 14 inf + 1810
1553948580.984 * * [simplify]: Extracting #6: cost 2 inf + 4267
1553948580.985 * * [simplify]: Extracting #7: cost 0 inf + 5349
1553948580.985 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948580.985 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948580.986 * * * * [progress]: [ 59 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow k -1/2)) 1) (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948580.986 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) 1)
1553948580.986 * * [simplify]: iters left: 4 (6 enodes)
1553948580.988 * * [simplify]: iters left: 3 (18 enodes)
1553948580.992 * * [simplify]: iters left: 2 (20 enodes)
1553948580.998 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948580.998 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948580.998 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948580.998 * * [simplify]: Extracting #3: cost 4 inf + 3
1553948580.998 * * [simplify]: Extracting #4: cost 0 inf + 931
1553948580.998 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553948580.998 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948580.999 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948580.999 * * [simplify]: iters left: 6 (16 enodes)
1553948581.007 * * [simplify]: iters left: 5 (58 enodes)
1553948581.022 * * [simplify]: iters left: 4 (74 enodes)
1553948581.033 * * [simplify]: iters left: 3 (88 enodes)
1553948581.044 * * [simplify]: iters left: 2 (89 enodes)
1553948581.065 * * [simplify]: iters left: 1 (91 enodes)
1553948581.087 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.087 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948581.088 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948581.088 * * [simplify]: Extracting #3: cost 27 inf + 1
1553948581.088 * * [simplify]: Extracting #4: cost 27 inf + 7
1553948581.088 * * [simplify]: Extracting #5: cost 14 inf + 1810
1553948581.089 * * [simplify]: Extracting #6: cost 2 inf + 4267
1553948581.091 * * [simplify]: Extracting #7: cost 0 inf + 5349
1553948581.092 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553948581.092 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553948581.092 * * * * [progress]: [ 60 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948581.093 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948581.093 * * [simplify]: iters left: 6 (14 enodes)
1553948581.100 * * [simplify]: iters left: 5 (51 enodes)
1553948581.113 * * [simplify]: iters left: 4 (62 enodes)
1553948581.124 * * [simplify]: iters left: 3 (74 enodes)
1553948581.134 * * [simplify]: iters left: 2 (75 enodes)
1553948581.145 * * [simplify]: iters left: 1 (77 enodes)
1553948581.163 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.164 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948581.164 * * [simplify]: Extracting #2: cost 13 inf + 1
1553948581.164 * * [simplify]: Extracting #3: cost 22 inf + 2
1553948581.164 * * [simplify]: Extracting #4: cost 20 inf + 7
1553948581.164 * * [simplify]: Extracting #5: cost 9 inf + 1772
1553948581.165 * * [simplify]: Extracting #6: cost 2 inf + 2764
1553948581.166 * * [simplify]: Extracting #7: cost 0 inf + 3343
1553948581.167 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (* (* n 2) PI)))
1553948581.167 * [simplify]: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (* (* n 2) PI))) (/ (sqrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1553948581.167 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))
1553948581.167 * * [simplify]: iters left: 6 (12 enodes)
1553948581.173 * * [simplify]: iters left: 5 (40 enodes)
1553948581.185 * * [simplify]: iters left: 4 (48 enodes)
1553948581.194 * * [simplify]: iters left: 3 (53 enodes)
1553948581.201 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.201 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.201 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948581.201 * * [simplify]: Extracting #3: cost 20 inf + 0
1553948581.201 * * [simplify]: Extracting #4: cost 17 inf + 47
1553948581.201 * * [simplify]: Extracting #5: cost 5 inf + 1183
1553948581.202 * * [simplify]: Extracting #6: cost 2 inf + 2394
1553948581.202 * * [simplify]: Extracting #7: cost 0 inf + 3353
1553948581.202 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))
1553948581.202 * [simplify]: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow k -1/2)) (sqrt (* (* n 2) PI))) (/ (sqrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))))
1553948581.202 * * * * [progress]: [ 61 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.203 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948581.203 * * [simplify]: iters left: 6 (15 enodes)
1553948581.207 * * [simplify]: iters left: 5 (55 enodes)
1553948581.215 * * [simplify]: iters left: 4 (72 enodes)
1553948581.236 * * [simplify]: iters left: 3 (79 enodes)
1553948581.249 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.249 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948581.249 * * [simplify]: Extracting #2: cost 9 inf + 1
1553948581.249 * * [simplify]: Extracting #3: cost 11 inf + 1
1553948581.249 * * [simplify]: Extracting #4: cost 14 inf + 1
1553948581.249 * * [simplify]: Extracting #5: cost 25 inf + 1
1553948581.249 * * [simplify]: Extracting #6: cost 28 inf + 5
1553948581.249 * * [simplify]: Extracting #7: cost 17 inf + 549
1553948581.250 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553948581.251 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553948581.252 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553948581.252 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948581.252 * [simplify]: Simplifying (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948581.252 * * [simplify]: iters left: 6 (16 enodes)
1553948581.256 * * [simplify]: iters left: 5 (56 enodes)
1553948581.271 * * [simplify]: iters left: 4 (71 enodes)
1553948581.290 * * [simplify]: iters left: 3 (78 enodes)
1553948581.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.300 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.300 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948581.300 * * [simplify]: Extracting #3: cost 10 inf + 2
1553948581.300 * * [simplify]: Extracting #4: cost 10 inf + 427
1553948581.300 * * [simplify]: Extracting #5: cost 21 inf + 427
1553948581.300 * * [simplify]: Extracting #6: cost 22 inf + 473
1553948581.301 * * [simplify]: Extracting #7: cost 7 inf + 2388
1553948581.302 * * [simplify]: Extracting #8: cost 0 inf + 5413
1553948581.303 * [simplify]: Simplified to (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948581.303 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))))
1553948581.304 * * * * [progress]: [ 62 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.304 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948581.304 * * [simplify]: iters left: 6 (14 enodes)
1553948581.311 * * [simplify]: iters left: 5 (50 enodes)
1553948581.326 * * [simplify]: iters left: 4 (65 enodes)
1553948581.335 * * [simplify]: iters left: 3 (72 enodes)
1553948581.347 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.347 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.347 * * [simplify]: Extracting #2: cost 5 inf + 1
1553948581.347 * * [simplify]: Extracting #3: cost 7 inf + 1
1553948581.348 * * [simplify]: Extracting #4: cost 10 inf + 1
1553948581.348 * * [simplify]: Extracting #5: cost 21 inf + 1
1553948581.348 * * [simplify]: Extracting #6: cost 20 inf + 214
1553948581.348 * * [simplify]: Extracting #7: cost 13 inf + 590
1553948581.348 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553948581.349 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553948581.350 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553948581.350 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))
1553948581.350 * [simplify]: Simplifying (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948581.350 * * [simplify]: iters left: 6 (16 enodes)
1553948581.356 * * [simplify]: iters left: 5 (56 enodes)
1553948581.371 * * [simplify]: iters left: 4 (71 enodes)
1553948581.382 * * [simplify]: iters left: 3 (78 enodes)
1553948581.392 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.392 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.392 * * [simplify]: Extracting #2: cost 9 inf + 0
1553948581.392 * * [simplify]: Extracting #3: cost 10 inf + 2
1553948581.392 * * [simplify]: Extracting #4: cost 10 inf + 427
1553948581.392 * * [simplify]: Extracting #5: cost 21 inf + 427
1553948581.392 * * [simplify]: Extracting #6: cost 22 inf + 473
1553948581.393 * * [simplify]: Extracting #7: cost 7 inf + 2388
1553948581.393 * * [simplify]: Extracting #8: cost 0 inf + 5253
1553948581.394 * [simplify]: Simplified to (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948581.394 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))))
1553948581.394 * * * * [progress]: [ 63 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.394 * [simplify]: Simplifying (/ 1 1)
1553948581.394 * * [simplify]: iters left: 2 (2 enodes)
1553948581.395 * * [simplify]: iters left: 1 (6 enodes)
1553948581.396 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.396 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948581.396 * [simplify]: Simplified to 1
1553948581.396 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948581.396 * [simplify]: Simplifying (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948581.396 * * [simplify]: iters left: 6 (15 enodes)
1553948581.404 * * [simplify]: iters left: 5 (55 enodes)
1553948581.421 * * [simplify]: iters left: 4 (71 enodes)
1553948581.442 * * [simplify]: iters left: 3 (85 enodes)
1553948581.466 * * [simplify]: iters left: 2 (86 enodes)
1553948581.488 * * [simplify]: iters left: 1 (88 enodes)
1553948581.500 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.500 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948581.500 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948581.500 * * [simplify]: Extracting #3: cost 23 inf + 3
1553948581.500 * * [simplify]: Extracting #4: cost 21 inf + 937
1553948581.501 * * [simplify]: Extracting #5: cost 9 inf + 1645
1553948581.501 * * [simplify]: Extracting #6: cost 4 inf + 2642
1553948581.502 * * [simplify]: Extracting #7: cost 0 inf + 4685
1553948581.503 * [simplify]: Simplified to (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948581.503 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948581.503 * * * * [progress]: [ 64 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.503 * [simplify]: Simplifying (/ 1 1)
1553948581.503 * * [simplify]: iters left: 2 (2 enodes)
1553948581.504 * * [simplify]: iters left: 1 (6 enodes)
1553948581.505 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.505 * * [simplify]: Extracting #1: cost 0 inf + 1
1553948581.505 * [simplify]: Simplified to 1
1553948581.505 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553948581.505 * [simplify]: Simplifying (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948581.505 * * [simplify]: iters left: 6 (15 enodes)
1553948581.509 * * [simplify]: iters left: 5 (55 enodes)
1553948581.519 * * [simplify]: iters left: 4 (71 enodes)
1553948581.532 * * [simplify]: iters left: 3 (85 enodes)
1553948581.543 * * [simplify]: iters left: 2 (86 enodes)
1553948581.558 * * [simplify]: iters left: 1 (88 enodes)
1553948581.579 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.580 * * [simplify]: Extracting #1: cost 7 inf + 0
1553948581.580 * * [simplify]: Extracting #2: cost 14 inf + 1
1553948581.580 * * [simplify]: Extracting #3: cost 23 inf + 3
1553948581.580 * * [simplify]: Extracting #4: cost 21 inf + 937
1553948581.581 * * [simplify]: Extracting #5: cost 9 inf + 1645
1553948581.581 * * [simplify]: Extracting #6: cost 4 inf + 2642
1553948581.583 * * [simplify]: Extracting #7: cost 0 inf + 4685
1553948581.584 * [simplify]: Simplified to (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948581.584 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948581.584 * * * * [progress]: [ 65 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))>
1553948581.585 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553948581.585 * * [simplify]: iters left: 6 (10 enodes)
1553948581.590 * * [simplify]: iters left: 5 (37 enodes)
1553948581.596 * * [simplify]: iters left: 4 (48 enodes)
1553948581.603 * * [simplify]: iters left: 3 (57 enodes)
1553948581.610 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.610 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948581.610 * * [simplify]: Extracting #2: cost 12 inf + 2
1553948581.610 * * [simplify]: Extracting #3: cost 7 inf + 337
1553948581.610 * * [simplify]: Extracting #4: cost 0 inf + 997
1553948581.611 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553948581.611 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))
1553948581.611 * [simplify]: Simplifying (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))
1553948581.611 * * [simplify]: iters left: 6 (11 enodes)
1553948581.614 * * [simplify]: iters left: 5 (37 enodes)
1553948581.619 * * [simplify]: iters left: 4 (45 enodes)
1553948581.626 * * [simplify]: iters left: 3 (50 enodes)
1553948581.632 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.632 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.632 * * [simplify]: Extracting #2: cost 10 inf + 0
1553948581.632 * * [simplify]: Extracting #3: cost 16 inf + 2
1553948581.632 * * [simplify]: Extracting #4: cost 7 inf + 1056
1553948581.633 * * [simplify]: Extracting #5: cost 0 inf + 2769
1553948581.633 * [simplify]: Simplified to (/ (pow k -1/2) (pow (* 2 (* n PI)) (/ k 2)))
1553948581.633 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* 2 (* n PI)) (/ k 2)))))
1553948581.633 * * * * [progress]: [ 66 / 115 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.633 * * * * [progress]: [ 67 / 115 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.634 * * * * [progress]: [ 68 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow k -1/2))))>
1553948581.634 * * * * [progress]: [ 69 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) (* (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)))))))>
1553948581.634 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948581.634 * * [simplify]: iters left: 6 (13 enodes)
1553948581.641 * * [simplify]: iters left: 5 (47 enodes)
1553948581.655 * * [simplify]: iters left: 4 (62 enodes)
1553948581.677 * * [simplify]: iters left: 3 (69 enodes)
1553948581.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.695 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948581.695 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948581.695 * * [simplify]: Extracting #3: cost 8 inf + 1
1553948581.695 * * [simplify]: Extracting #4: cost 19 inf + 1
1553948581.695 * * [simplify]: Extracting #5: cost 17 inf + 297
1553948581.695 * * [simplify]: Extracting #6: cost 10 inf + 632
1553948581.696 * * [simplify]: Extracting #7: cost 2 inf + 2996
1553948581.697 * * [simplify]: Extracting #8: cost 0 inf + 3494
1553948581.698 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553948581.698 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) (* (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)))))))
1553948581.698 * * * * [progress]: [ 70 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.698 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948581.699 * * [simplify]: iters left: 6 (13 enodes)
1553948581.705 * * [simplify]: iters left: 5 (47 enodes)
1553948581.720 * * [simplify]: iters left: 4 (62 enodes)
1553948581.738 * * [simplify]: iters left: 3 (69 enodes)
1553948581.755 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.755 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948581.755 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948581.755 * * [simplify]: Extracting #3: cost 8 inf + 1
1553948581.755 * * [simplify]: Extracting #4: cost 19 inf + 1
1553948581.755 * * [simplify]: Extracting #5: cost 17 inf + 297
1553948581.756 * * [simplify]: Extracting #6: cost 10 inf + 632
1553948581.756 * * [simplify]: Extracting #7: cost 2 inf + 2916
1553948581.757 * * [simplify]: Extracting #8: cost 0 inf + 3414
1553948581.758 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553948581.758 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))))
1553948581.758 * * * * [progress]: [ 71 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948581.759 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948581.759 * * [simplify]: iters left: 6 (12 enodes)
1553948581.765 * * [simplify]: iters left: 5 (44 enodes)
1553948581.778 * * [simplify]: iters left: 4 (59 enodes)
1553948581.795 * * [simplify]: iters left: 3 (66 enodes)
1553948581.815 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.815 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.815 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948581.815 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948581.815 * * [simplify]: Extracting #4: cost 15 inf + 297
1553948581.816 * * [simplify]: Extracting #5: cost 8 inf + 673
1553948581.816 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553948581.817 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553948581.818 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948581.818 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948581.818 * * * * [progress]: [ 72 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948581.818 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948581.818 * * [simplify]: iters left: 6 (12 enodes)
1553948581.825 * * [simplify]: iters left: 5 (44 enodes)
1553948581.838 * * [simplify]: iters left: 4 (59 enodes)
1553948581.850 * * [simplify]: iters left: 3 (66 enodes)
1553948581.859 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.859 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.860 * * [simplify]: Extracting #2: cost 6 inf + 1
1553948581.860 * * [simplify]: Extracting #3: cost 17 inf + 1
1553948581.860 * * [simplify]: Extracting #4: cost 15 inf + 297
1553948581.860 * * [simplify]: Extracting #5: cost 8 inf + 673
1553948581.860 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553948581.861 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553948581.861 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553948581.861 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553948581.861 * * * * [progress]: [ 73 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553948581.861 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948581.861 * * [simplify]: iters left: 5 (8 enodes)
1553948581.864 * * [simplify]: iters left: 4 (28 enodes)
1553948581.869 * * [simplify]: iters left: 3 (36 enodes)
1553948581.874 * * [simplify]: iters left: 2 (41 enodes)
1553948581.882 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.882 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.882 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948581.882 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948581.883 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948581.883 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948581.884 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948581.884 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1553948581.884 * * * * [progress]: [ 74 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow k -1/2)))))>
1553948581.884 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553948581.884 * * [simplify]: iters left: 4 (5 enodes)
1553948581.887 * * [simplify]: iters left: 3 (15 enodes)
1553948581.892 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.892 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948581.892 * * [simplify]: Extracting #2: cost 5 inf + 0
1553948581.892 * * [simplify]: Extracting #3: cost 8 inf + 0
1553948581.892 * * [simplify]: Extracting #4: cost 6 inf + 2
1553948581.892 * * [simplify]: Extracting #5: cost 0 inf + 1674
1553948581.892 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553948581.892 * [simplify]: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow k -1/2)))))
1553948581.892 * * * * [progress]: [ 75 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow k -1/2)) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow k -1/2)))))>
1553948581.893 * [simplify]: Simplifying (sqrt (pow k -1/2))
1553948581.893 * * [simplify]: iters left: 2 (4 enodes)
1553948581.895 * * [simplify]: iters left: 1 (12 enodes)
1553948581.899 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.899 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948581.899 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948581.899 * * [simplify]: Extracting #3: cost 4 inf + 2
1553948581.899 * * [simplify]: Extracting #4: cost 0 inf + 930
1553948581.899 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553948581.899 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (pow k -1/2)) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow k -1/2)))))
1553948581.899 * * * * [progress]: [ 76 / 115 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow k -1/2))))>
1553948581.900 * * * * [progress]: [ 77 / 115 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow k -1/2) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553948581.900 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948581.900 * * [simplify]: iters left: 5 (10 enodes)
1553948581.905 * * [simplify]: iters left: 4 (36 enodes)
1553948581.916 * * [simplify]: iters left: 3 (49 enodes)
1553948581.930 * * [simplify]: iters left: 2 (56 enodes)
1553948581.940 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.940 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948581.940 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948581.940 * * [simplify]: Extracting #3: cost 18 inf + 4
1553948581.940 * * [simplify]: Extracting #4: cost 7 inf + 630
1553948581.941 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553948581.941 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948581.941 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow k -1/2) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553948581.941 * * * * [progress]: [ 78 / 115 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.941 * * * * [progress]: [ 79 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (log1p (expm1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.941 * * * * [progress]: [ 80 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (expm1 (log1p (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.941 * * * * [progress]: [ 81 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) -1)))>
1553948581.941 * * * * [progress]: [ 82 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (- (- 1/2 (/ k 2))))))>
1553948581.942 * [simplify]: Simplifying (- (- 1/2 (/ k 2)))
1553948581.942 * * [simplify]: iters left: 6 (6 enodes)
1553948581.943 * * [simplify]: iters left: 5 (20 enodes)
1553948581.947 * * [simplify]: iters left: 4 (29 enodes)
1553948581.952 * * [simplify]: iters left: 3 (36 enodes)
1553948581.957 * * [simplify]: iters left: 2 (37 enodes)
1553948581.962 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948581.962 * * [simplify]: Extracting #1: cost 6 inf + 0
1553948581.962 * * [simplify]: Extracting #2: cost 12 inf + 1
1553948581.962 * * [simplify]: Extracting #3: cost 8 inf + 129
1553948581.963 * * [simplify]: Extracting #4: cost 1 inf + 625
1553948581.963 * * [simplify]: Extracting #5: cost 0 inf + 666
1553948581.964 * [simplify]: Simplified to (+ (/ k 2) -1/2)
1553948581.964 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))
1553948581.964 * * * * [progress]: [ 83 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553948581.964 * * * * [progress]: [ 84 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948581.964 * * * * [progress]: [ 85 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553948581.964 * * * * [progress]: [ 86 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.964 * * * * [progress]: [ 87 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.964 * * * * [progress]: [ 88 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (log (exp (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.964 * * * * [progress]: [ 89 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* (* (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))))))))>
1553948581.965 * * * * [progress]: [ 90 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (cbrt (* (* (/ 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))))))))>
1553948581.965 * * * * [progress]: [ 91 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948581.965 * * * * [progress]: [ 92 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (- 1) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.965 * * * * [progress]: [ 93 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.965 * * * * [progress]: [ 94 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948581.965 * * * * [progress]: [ 95 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553948581.965 * * * * [progress]: [ 96 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948581.965 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948581.965 * * [simplify]: iters left: 5 (9 enodes)
1553948581.970 * * [simplify]: iters left: 4 (33 enodes)
1553948581.981 * * [simplify]: iters left: 3 (43 enodes)
1553948581.993 * * [simplify]: iters left: 2 (48 enodes)
1553948582.004 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.005 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948582.005 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948582.005 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948582.005 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948582.005 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948582.006 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948582.006 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948582.007 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553948582.007 * * * * [progress]: [ 97 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553948582.007 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553948582.007 * * [simplify]: iters left: 5 (9 enodes)
1553948582.012 * * [simplify]: iters left: 4 (33 enodes)
1553948582.022 * * [simplify]: iters left: 3 (43 enodes)
1553948582.034 * * [simplify]: iters left: 2 (48 enodes)
1553948582.046 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.046 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948582.046 * * [simplify]: Extracting #2: cost 14 inf + 0
1553948582.046 * * [simplify]: Extracting #3: cost 16 inf + 45
1553948582.046 * * [simplify]: Extracting #4: cost 10 inf + 297
1553948582.047 * * [simplify]: Extracting #5: cost 4 inf + 629
1553948582.047 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553948582.048 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553948582.048 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553948582.048 * * * * [progress]: [ 98 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1553948582.048 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1553948582.048 * * [simplify]: iters left: 5 (7 enodes)
1553948582.052 * * [simplify]: iters left: 4 (23 enodes)
1553948582.059 * * [simplify]: iters left: 3 (28 enodes)
1553948582.069 * * [simplify]: iters left: 2 (30 enodes)
1553948582.077 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.077 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948582.077 * * [simplify]: Extracting #2: cost 7 inf + 1
1553948582.077 * * [simplify]: Extracting #3: cost 11 inf + 2
1553948582.077 * * [simplify]: Extracting #4: cost 8 inf + 127
1553948582.078 * * [simplify]: Extracting #5: cost 3 inf + 417
1553948582.078 * * [simplify]: Extracting #6: cost 1 inf + 794
1553948582.078 * * [simplify]: Extracting #7: cost 0 inf + 1088
1553948582.079 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1553948582.079 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))
1553948582.079 * * * * [progress]: [ 99 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 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)))))))>
1553948582.079 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948582.079 * * [simplify]: iters left: 6 (11 enodes)
1553948582.085 * * [simplify]: iters left: 5 (39 enodes)
1553948582.091 * * [simplify]: iters left: 4 (52 enodes)
1553948582.098 * * [simplify]: iters left: 3 (59 enodes)
1553948582.105 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.105 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948582.105 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948582.105 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948582.105 * * [simplify]: Extracting #4: cost 19 inf + 46
1553948582.105 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553948582.106 * * [simplify]: Extracting #6: cost 0 inf + 2579
1553948582.106 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553948582.106 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 (* (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)))))))
1553948582.106 * * * * [progress]: [ 100 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553948582.106 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553948582.106 * * [simplify]: iters left: 6 (11 enodes)
1553948582.109 * * [simplify]: iters left: 5 (39 enodes)
1553948582.115 * * [simplify]: iters left: 4 (52 enodes)
1553948582.123 * * [simplify]: iters left: 3 (59 enodes)
1553948582.130 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.130 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948582.130 * * [simplify]: Extracting #2: cost 6 inf + 0
1553948582.130 * * [simplify]: Extracting #3: cost 17 inf + 0
1553948582.130 * * [simplify]: Extracting #4: cost 19 inf + 46
1553948582.131 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553948582.131 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553948582.131 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553948582.131 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))
1553948582.132 * * * * [progress]: [ 101 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553948582.132 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948582.132 * * [simplify]: iters left: 5 (10 enodes)
1553948582.136 * * [simplify]: iters left: 4 (36 enodes)
1553948582.147 * * [simplify]: iters left: 3 (49 enodes)
1553948582.161 * * [simplify]: iters left: 2 (56 enodes)
1553948582.177 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.177 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948582.177 * * [simplify]: Extracting #2: cost 15 inf + 0
1553948582.177 * * [simplify]: Extracting #3: cost 18 inf + 4
1553948582.178 * * [simplify]: Extracting #4: cost 7 inf + 630
1553948582.178 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553948582.179 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553948582.179 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553948582.179 * * * * [progress]: [ 102 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553948582.179 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553948582.180 * * [simplify]: iters left: 5 (8 enodes)
1553948582.184 * * [simplify]: iters left: 4 (28 enodes)
1553948582.190 * * [simplify]: iters left: 3 (36 enodes)
1553948582.195 * * [simplify]: iters left: 2 (41 enodes)
1553948582.200 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.200 * * [simplify]: Extracting #1: cost 4 inf + 0
1553948582.200 * * [simplify]: Extracting #2: cost 13 inf + 0
1553948582.200 * * [simplify]: Extracting #3: cost 12 inf + 4
1553948582.200 * * [simplify]: Extracting #4: cost 3 inf + 756
1553948582.200 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553948582.201 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553948582.201 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (* (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1553948582.201 * * * * [progress]: [ 103 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (posit16->real (real->posit16 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553948582.201 * * * * [progress]: [ 104 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 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))))))))>
1553948582.201 * [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)))))
1553948582.201 * * [simplify]: iters left: 6 (37 enodes)
1553948582.211 * * [simplify]: iters left: 5 (182 enodes)
1553948582.255 * * [simplify]: iters left: 4 (487 enodes)
1553948582.539 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948582.539 * * [simplify]: Extracting #1: cost 74 inf + 0
1553948582.541 * * [simplify]: Extracting #2: cost 339 inf + 3
1553948582.545 * * [simplify]: Extracting #3: cost 496 inf + 559
1553948582.563 * * [simplify]: Extracting #4: cost 330 inf + 53115
1553948582.641 * * [simplify]: Extracting #5: cost 70 inf + 174349
1553948582.749 * * [simplify]: Extracting #6: cost 0 inf + 222643
1553948582.831 * * [simplify]: Extracting #7: cost 0 inf + 219647
1553948582.903 * * [simplify]: Extracting #8: cost 0 inf + 219582
1553948583.016 * [simplify]: Simplified to (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2))))))
1553948583.016 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (fma -1/2 (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (+ (log n) (log (* PI 2)))) k) (fma (* 1/4 (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) (* (* k k) (log n)))) (log (* PI 2)) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log (* PI 2)) (log (* PI 2))) (fma (* (* (exp (* (+ (log n) (log (* PI 2))) 1/2)) 1/8) (* k k)) (* (log n) (log n)) (exp (* (+ (log n) (log (* PI 2))) 1/2)))))))))
1553948583.017 * * * * [progress]: [ 105 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553948583.017 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553948583.017 * * [simplify]: iters left: 6 (15 enodes)
1553948583.026 * * [simplify]: iters left: 5 (63 enodes)
1553948583.047 * * [simplify]: iters left: 4 (108 enodes)
1553948583.086 * * [simplify]: iters left: 3 (268 enodes)
1553948583.186 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.186 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948583.187 * * [simplify]: Extracting #2: cost 116 inf + 0
1553948583.187 * * [simplify]: Extracting #3: cost 211 inf + 668
1553948583.189 * * [simplify]: Extracting #4: cost 149 inf + 9715
1553948583.196 * * [simplify]: Extracting #5: cost 42 inf + 34460
1553948583.204 * * [simplify]: Extracting #6: cost 0 inf + 46240
1553948583.218 * * [simplify]: Extracting #7: cost 0 inf + 45870
1553948583.237 * [simplify]: Simplified to (pow (* (* 2 PI) n) (fma k -1/2 1/2))
1553948583.237 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* 2 PI) n) (fma k -1/2 1/2)))))
1553948583.237 * * * * [progress]: [ 106 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553948583.237 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553948583.237 * * [simplify]: iters left: 6 (15 enodes)
1553948583.246 * * [simplify]: iters left: 5 (60 enodes)
1553948583.266 * * [simplify]: iters left: 4 (111 enodes)
1553948583.294 * * [simplify]: iters left: 3 (302 enodes)
1553948583.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.431 * * [simplify]: Extracting #1: cost 16 inf + 0
1553948583.432 * * [simplify]: Extracting #2: cost 144 inf + 0
1553948583.434 * * [simplify]: Extracting #3: cost 312 inf + 558
1553948583.437 * * [simplify]: Extracting #4: cost 279 inf + 4663
1553948583.455 * * [simplify]: Extracting #5: cost 100 inf + 51858
1553948583.484 * * [simplify]: Extracting #6: cost 2 inf + 80601
1553948583.513 * * [simplify]: Extracting #7: cost 0 inf + 76621
1553948583.542 * * [simplify]: Extracting #8: cost 0 inf + 76306
1553948583.559 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2))
1553948583.559 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (fma -1/2 k 1/2)))))
1553948583.559 * * * * [progress]: [ 107 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948583.559 * [simplify]: Simplifying (* 2 (* n PI))
1553948583.560 * * [simplify]: iters left: 4 (5 enodes)
1553948583.561 * * [simplify]: iters left: 3 (19 enodes)
1553948583.564 * * [simplify]: iters left: 2 (27 enodes)
1553948583.569 * * [simplify]: iters left: 1 (32 enodes)
1553948583.573 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.573 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948583.573 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948583.573 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948583.574 * [simplify]: Simplified to (* (* PI n) 2)
1553948583.574 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948583.574 * * * * [progress]: [ 108 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948583.574 * [simplify]: Simplifying (* 2 (* n PI))
1553948583.574 * * [simplify]: iters left: 4 (5 enodes)
1553948583.577 * * [simplify]: iters left: 3 (19 enodes)
1553948583.582 * * [simplify]: iters left: 2 (27 enodes)
1553948583.590 * * [simplify]: iters left: 1 (32 enodes)
1553948583.598 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.598 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948583.598 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948583.598 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948583.598 * [simplify]: Simplified to (* (* PI n) 2)
1553948583.598 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948583.598 * * * * [progress]: [ 109 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553948583.599 * [simplify]: Simplifying (* 2 (* n PI))
1553948583.599 * * [simplify]: iters left: 4 (5 enodes)
1553948583.602 * * [simplify]: iters left: 3 (19 enodes)
1553948583.606 * * [simplify]: iters left: 2 (27 enodes)
1553948583.610 * * [simplify]: iters left: 1 (32 enodes)
1553948583.614 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.614 * * [simplify]: Extracting #1: cost 8 inf + 0
1553948583.614 * * [simplify]: Extracting #2: cost 7 inf + 45
1553948583.614 * * [simplify]: Extracting #3: cost 0 inf + 421
1553948583.614 * [simplify]: Simplified to (* (* PI n) 2)
1553948583.614 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553948583.614 * * * * [progress]: [ 110 / 115 ] 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))))))))))))))>
1553948583.615 * [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)))))))))))))
1553948583.615 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948583.615 * * * * [progress]: [ 111 / 115 ] 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)))))))))>
1553948583.615 * [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))))))))
1553948583.615 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948583.615 * * * * [progress]: [ 112 / 115 ] 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 3))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))))))))>
1553948583.615 * [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 3))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))))))))
1553948583.615 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553948583.615 * * * * [progress]: [ 113 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))))))>
1553948583.616 * [simplify]: Simplifying (+ (* 1/8 (/ (* (pow (log (* 2 PI)) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* k (log (* 2 PI))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/2 (/ (* (log n) k) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (* 1/4 (/ (* (log (* 2 PI)) (* (log n) (pow k 2))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (+ (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (* 1/8 (/ (* (pow (log n) 2) (pow k 2)) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))))
1553948583.616 * * [simplify]: iters left: 6 (39 enodes)
1553948583.627 * * [simplify]: iters left: 5 (187 enodes)
1553948583.689 * * [simplify]: iters left: 4 (454 enodes)
1553948583.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948583.828 * * [simplify]: Extracting #1: cost 44 inf + 0
1553948583.828 * * [simplify]: Extracting #2: cost 240 inf + 2
1553948583.830 * * [simplify]: Extracting #3: cost 456 inf + 118
1553948583.832 * * [simplify]: Extracting #4: cost 444 inf + 8257
1553948583.850 * * [simplify]: Extracting #5: cost 220 inf + 94981
1553948583.895 * * [simplify]: Extracting #6: cost 26 inf + 213109
1553948583.956 * * [simplify]: Extracting #7: cost 0 inf + 204399
1553948584.030 * * [simplify]: Extracting #8: cost 0 inf + 192589
1553948584.079 * * [simplify]: Extracting #9: cost 0 inf + 192209
1553948584.143 * * [simplify]: Extracting #10: cost 0 inf + 192169
1553948584.233 * [simplify]: Simplified to (fma 1/8 (/ (* (* k k) (* (log (* PI 2)) (log (* PI 2)))) (sqrt (exp (+ (log (* PI 2)) (log n))))) (fma 1/2 (fma (/ k (sqrt (exp (+ (log (* PI 2)) (log n))))) (log (* PI 2)) (/ (* (log n) k) (sqrt (exp (+ (log (* PI 2)) (log n)))))) (fma (* (* (/ (log (* PI 2)) (sqrt (exp (+ (log (* PI 2)) (log n))))) (* (log n) k)) k) 1/4 (fma 1/8 (/ (* (* (log n) k) (* (log n) k)) (sqrt (exp (+ (log (* PI 2)) (log n))))) (exp (* -1/2 (+ (log (* PI 2)) (log n))))))))
1553948584.233 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (fma 1/8 (/ (* (* k k) (* (log (* PI 2)) (log (* PI 2)))) (sqrt (exp (+ (log (* PI 2)) (log n))))) (fma 1/2 (fma (/ k (sqrt (exp (+ (log (* PI 2)) (log n))))) (log (* PI 2)) (/ (* (log n) k) (sqrt (exp (+ (log (* PI 2)) (log n)))))) (fma (* (* (/ (log (* PI 2)) (sqrt (exp (+ (log (* PI 2)) (log n))))) (* (log n) k)) k) 1/4 (fma 1/8 (/ (* (* (log n) k) (* (log n) k)) (sqrt (exp (+ (log (* PI 2)) (log n))))) (exp (* -1/2 (+ (log (* PI 2)) (log n))))))))))
1553948584.233 * * * * [progress]: [ 114 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553948584.234 * [simplify]: Simplifying (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
1553948584.234 * * [simplify]: iters left: 6 (16 enodes)
1553948584.243 * * [simplify]: iters left: 5 (68 enodes)
1553948584.264 * * [simplify]: iters left: 4 (121 enodes)
1553948584.312 * * [simplify]: iters left: 3 (340 enodes)
1553948584.456 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948584.456 * * [simplify]: Extracting #1: cost 23 inf + 0
1553948584.457 * * [simplify]: Extracting #2: cost 110 inf + 1
1553948584.457 * * [simplify]: Extracting #3: cost 261 inf + 332
1553948584.460 * * [simplify]: Extracting #4: cost 228 inf + 11502
1553948584.482 * * [simplify]: Extracting #5: cost 33 inf + 59570
1553948584.508 * * [simplify]: Extracting #6: cost 0 inf + 67063
1553948584.535 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- -1/2 (* k -1/2)))
1553948584.535 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (pow (* n (* 2 PI)) (- -1/2 (* k -1/2)))))
1553948584.535 * * * * [progress]: [ 115 / 115 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553948584.535 * [simplify]: Simplifying (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
1553948584.535 * * [simplify]: iters left: 6 (17 enodes)
1553948584.544 * * [simplify]: iters left: 5 (70 enodes)
1553948584.567 * * [simplify]: iters left: 4 (131 enodes)
1553948584.609 * * [simplify]: iters left: 3 (389 enodes)
1553948584.786 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948584.786 * * [simplify]: Extracting #1: cost 25 inf + 0
1553948584.787 * * [simplify]: Extracting #2: cost 133 inf + 1
1553948584.788 * * [simplify]: Extracting #3: cost 345 inf + 739
1553948584.792 * * [simplify]: Extracting #4: cost 366 inf + 7227
1553948584.808 * * [simplify]: Extracting #5: cost 184 inf + 56131
1553948584.842 * * [simplify]: Extracting #6: cost 4 inf + 108446
1553948584.876 * * [simplify]: Extracting #7: cost 0 inf + 103215
1553948584.920 * * [simplify]: Extracting #8: cost 0 inf + 103075
1553948584.959 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- -1/2 (* -1/2 k)))
1553948584.959 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (pow (/ (* -2 PI) (/ -1 n)) (- -1/2 (* -1/2 k)))))
1553948584.959 * * * [progress]: adding candidates to table
1553948586.221 * [progress]: [Phase 3 of 3] Extracting.
1553948586.221 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<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))))))))> #<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)))))))> #<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)))))))> #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))> #<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))>)
1553948586.224 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1553948586.224 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<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))))))))> #<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)))))))> #<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)))))))> #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))> #<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))>)
1553948586.309 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<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))))))))> #<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)))))))> #<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)))))))> #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))> #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))> #<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))>)
1553948586.355 * * * [regime]: Found split indices: #<option (#s(si 8 255))>
1553948586.355 * [simplify]: Simplifying (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2)))
1553948586.355 * * [simplify]: iters left: 6 (12 enodes)
1553948586.356 * * [simplify]: iters left: 5 (15 enodes)
1553948586.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1553948586.356 * * [simplify]: Extracting #1: cost 3 inf + 0
1553948586.356 * * [simplify]: Extracting #2: cost 7 inf + 0
1553948586.356 * * [simplify]: Extracting #3: cost 8 inf + 2
1553948586.356 * * [simplify]: Extracting #4: cost 8 inf + 215
1553948586.357 * * [simplify]: Extracting #5: cost 0 inf + 1467
1553948586.357 * [simplify]: Simplified to (/ (pow k -1/2) (pow (* (* n 2) PI) (+ -1/2 (/ k 2))))
1553948594.167 * [regime-testing]: Baseline error score: 0.34043063514054717
1553948594.168 * [regime-testing]: Oracle error score: 0.03869777883665731
1553948594.170 * [regime-testing]: End program error score: 0.34043063514054717