1553944498.212 * [progress]: [Phase 1 of 3] Setting up.
1553944498.213 * * * [progress]: [1/2] Preparing points
1553944498.434 * * * [progress]: [2/2] Setting up program.
1553944498.441 * [progress]: [Phase 2 of 3] Improving.
1553944498.441 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1553944498.441 * [simplify]: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1553944498.441 * * [simplify]: iters left: 6 (13 enodes)
1553944498.449 * * [simplify]: iters left: 5 (54 enodes)
1553944498.465 * * [simplify]: iters left: 4 (75 enodes)
1553944498.488 * * [simplify]: iters left: 3 (94 enodes)
1553944498.533 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944498.533 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944498.533 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944498.533 * * [simplify]: Extracting #3: cost 23 inf + 2
1553944498.534 * * [simplify]: Extracting #4: cost 18 inf + 378
1553944498.534 * * [simplify]: Extracting #5: cost 6 inf + 1792
1553944498.536 * * [simplify]: Extracting #6: cost 1 inf + 3201
1553944498.537 * * [simplify]: Extracting #7: cost 0 inf + 3656
1553944498.538 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553944498.538 * [simplify]: Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
1553944498.551 * * [progress]: iteration 1 / 4
1553944498.551 * * * [progress]: picking best candidate
1553944498.562 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1553944498.562 * * * [progress]: localizing error
1553944498.596 * * * [progress]: generating rewritten candidates
1553944498.596 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1553944498.599 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1553944498.601 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1553944498.608 * * * [progress]: generating series expansions
1553944498.608 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
1553944498.609 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553944498.609 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553944498.609 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944498.609 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944498.609 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944498.609 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944498.609 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.609 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.609 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944498.609 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.609 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.609 * [taylor]: Taking taylor expansion of k in k
1553944498.609 * [backup-simplify]: Simplify 0 into 0
1553944498.609 * [backup-simplify]: Simplify 1 into 1
1553944498.609 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944498.609 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944498.609 * [taylor]: Taking taylor expansion of 2 in k
1553944498.609 * [backup-simplify]: Simplify 2 into 2
1553944498.609 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944498.609 * [taylor]: Taking taylor expansion of n in k
1553944498.609 * [backup-simplify]: Simplify n into n
1553944498.609 * [taylor]: Taking taylor expansion of PI in k
1553944498.609 * [backup-simplify]: Simplify PI into PI
1553944498.609 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944498.609 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944498.609 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944498.610 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944498.610 * [backup-simplify]: Simplify (- 0) into 0
1553944498.610 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.610 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944498.610 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944498.611 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944498.611 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944498.611 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944498.611 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944498.611 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.611 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.611 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944498.611 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.611 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.611 * [taylor]: Taking taylor expansion of k in n
1553944498.611 * [backup-simplify]: Simplify k into k
1553944498.611 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944498.611 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.611 * [taylor]: Taking taylor expansion of 2 in n
1553944498.611 * [backup-simplify]: Simplify 2 into 2
1553944498.611 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.611 * [taylor]: Taking taylor expansion of n in n
1553944498.611 * [backup-simplify]: Simplify 0 into 0
1553944498.611 * [backup-simplify]: Simplify 1 into 1
1553944498.611 * [taylor]: Taking taylor expansion of PI in n
1553944498.611 * [backup-simplify]: Simplify PI into PI
1553944498.611 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944498.611 * [backup-simplify]: Simplify (* 2 0) into 0
1553944498.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944498.613 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944498.614 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.614 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944498.614 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944498.614 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944498.615 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.615 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944498.616 * [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)))))
1553944498.616 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944498.616 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944498.616 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944498.616 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944498.616 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.616 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.616 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944498.616 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.616 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.616 * [taylor]: Taking taylor expansion of k in n
1553944498.616 * [backup-simplify]: Simplify k into k
1553944498.616 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944498.616 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.616 * [taylor]: Taking taylor expansion of 2 in n
1553944498.616 * [backup-simplify]: Simplify 2 into 2
1553944498.616 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.616 * [taylor]: Taking taylor expansion of n in n
1553944498.616 * [backup-simplify]: Simplify 0 into 0
1553944498.616 * [backup-simplify]: Simplify 1 into 1
1553944498.616 * [taylor]: Taking taylor expansion of PI in n
1553944498.616 * [backup-simplify]: Simplify PI into PI
1553944498.617 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944498.617 * [backup-simplify]: Simplify (* 2 0) into 0
1553944498.619 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944498.621 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944498.622 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.622 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944498.622 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944498.622 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944498.623 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.632 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944498.633 * [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)))))
1553944498.634 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944498.634 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944498.634 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944498.634 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.634 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.634 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944498.634 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.634 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.634 * [taylor]: Taking taylor expansion of k in k
1553944498.634 * [backup-simplify]: Simplify 0 into 0
1553944498.634 * [backup-simplify]: Simplify 1 into 1
1553944498.634 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944498.634 * [taylor]: Taking taylor expansion of (log n) in k
1553944498.634 * [taylor]: Taking taylor expansion of n in k
1553944498.634 * [backup-simplify]: Simplify n into n
1553944498.634 * [backup-simplify]: Simplify (log n) into (log n)
1553944498.634 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944498.634 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944498.634 * [taylor]: Taking taylor expansion of 2 in k
1553944498.634 * [backup-simplify]: Simplify 2 into 2
1553944498.634 * [taylor]: Taking taylor expansion of PI in k
1553944498.634 * [backup-simplify]: Simplify PI into PI
1553944498.635 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.636 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.636 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944498.637 * [backup-simplify]: Simplify (- 0) into 0
1553944498.637 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.638 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.639 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944498.641 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944498.642 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944498.643 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944498.645 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944498.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944498.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944498.648 * [backup-simplify]: Simplify (- 0) into 0
1553944498.648 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.651 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944498.653 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944498.653 * [taylor]: Taking taylor expansion of 0 in k
1553944498.653 * [backup-simplify]: Simplify 0 into 0
1553944498.653 * [backup-simplify]: Simplify 0 into 0
1553944498.654 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944498.654 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944498.656 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944498.657 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944498.658 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944498.658 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944498.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944498.663 * [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)))))))
1553944498.665 * [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)))))))
1553944498.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944498.672 * [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
1553944498.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944498.674 * [backup-simplify]: Simplify (- 0) into 0
1553944498.674 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.676 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.677 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944498.680 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944498.680 * [taylor]: Taking taylor expansion of 0 in k
1553944498.680 * [backup-simplify]: Simplify 0 into 0
1553944498.680 * [backup-simplify]: Simplify 0 into 0
1553944498.680 * [backup-simplify]: Simplify 0 into 0
1553944498.682 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944498.683 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.687 * [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
1553944498.687 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944498.689 * [backup-simplify]: Simplify (- 0) into 0
1553944498.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944498.695 * [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)))))
1553944498.701 * [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)))))
1553944498.711 * [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)))))
1553944498.711 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553944498.711 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553944498.711 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944498.711 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944498.711 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944498.711 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944498.711 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.712 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.712 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944498.712 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.712 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.712 * [taylor]: Taking taylor expansion of k in k
1553944498.712 * [backup-simplify]: Simplify 0 into 0
1553944498.712 * [backup-simplify]: Simplify 1 into 1
1553944498.712 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.712 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944498.712 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944498.712 * [taylor]: Taking taylor expansion of 2 in k
1553944498.712 * [backup-simplify]: Simplify 2 into 2
1553944498.712 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944498.712 * [taylor]: Taking taylor expansion of PI in k
1553944498.712 * [backup-simplify]: Simplify PI into PI
1553944498.712 * [taylor]: Taking taylor expansion of n in k
1553944498.712 * [backup-simplify]: Simplify n into n
1553944498.712 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944498.713 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944498.713 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944498.713 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944498.714 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944498.714 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944498.714 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944498.714 * [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))))
1553944498.714 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944498.714 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944498.715 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944498.715 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944498.715 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.715 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944498.715 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.715 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.715 * [taylor]: Taking taylor expansion of k in n
1553944498.715 * [backup-simplify]: Simplify k into k
1553944498.715 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.715 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944498.715 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944498.715 * [taylor]: Taking taylor expansion of 2 in n
1553944498.715 * [backup-simplify]: Simplify 2 into 2
1553944498.715 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.715 * [taylor]: Taking taylor expansion of PI in n
1553944498.715 * [backup-simplify]: Simplify PI into PI
1553944498.715 * [taylor]: Taking taylor expansion of n in n
1553944498.715 * [backup-simplify]: Simplify 0 into 0
1553944498.715 * [backup-simplify]: Simplify 1 into 1
1553944498.716 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.716 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.717 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.717 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944498.717 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944498.717 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944498.719 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944498.720 * [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)))
1553944498.721 * [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))))
1553944498.721 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944498.721 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944498.721 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944498.721 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944498.721 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.721 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944498.721 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.721 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.721 * [taylor]: Taking taylor expansion of k in n
1553944498.721 * [backup-simplify]: Simplify k into k
1553944498.721 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.721 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944498.721 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944498.721 * [taylor]: Taking taylor expansion of 2 in n
1553944498.721 * [backup-simplify]: Simplify 2 into 2
1553944498.721 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.721 * [taylor]: Taking taylor expansion of PI in n
1553944498.721 * [backup-simplify]: Simplify PI into PI
1553944498.721 * [taylor]: Taking taylor expansion of n in n
1553944498.722 * [backup-simplify]: Simplify 0 into 0
1553944498.722 * [backup-simplify]: Simplify 1 into 1
1553944498.722 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.723 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.724 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944498.724 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944498.724 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944498.725 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944498.727 * [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)))
1553944498.728 * [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))))
1553944498.728 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944498.728 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944498.728 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944498.728 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.728 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944498.728 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.728 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.728 * [taylor]: Taking taylor expansion of k in k
1553944498.728 * [backup-simplify]: Simplify 0 into 0
1553944498.728 * [backup-simplify]: Simplify 1 into 1
1553944498.729 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.729 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944498.729 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944498.729 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944498.729 * [taylor]: Taking taylor expansion of 2 in k
1553944498.729 * [backup-simplify]: Simplify 2 into 2
1553944498.729 * [taylor]: Taking taylor expansion of PI in k
1553944498.729 * [backup-simplify]: Simplify PI into PI
1553944498.729 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.730 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.731 * [taylor]: Taking taylor expansion of (log n) in k
1553944498.731 * [taylor]: Taking taylor expansion of n in k
1553944498.731 * [backup-simplify]: Simplify n into n
1553944498.731 * [backup-simplify]: Simplify (log n) into (log n)
1553944498.731 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944498.731 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944498.732 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944498.732 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944498.733 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944498.734 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944498.734 * [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))))
1553944498.735 * [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))))
1553944498.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944498.736 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944498.737 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944498.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944498.737 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944498.738 * [backup-simplify]: Simplify (- 0) into 0
1553944498.738 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944498.739 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944498.741 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944498.741 * [taylor]: Taking taylor expansion of 0 in k
1553944498.741 * [backup-simplify]: Simplify 0 into 0
1553944498.741 * [backup-simplify]: Simplify 0 into 0
1553944498.741 * [backup-simplify]: Simplify 0 into 0
1553944498.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.742 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.744 * [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
1553944498.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944498.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944498.745 * [backup-simplify]: Simplify (- 0) into 0
1553944498.745 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.746 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944498.747 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944498.748 * [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
1553944498.748 * [taylor]: Taking taylor expansion of 0 in k
1553944498.748 * [backup-simplify]: Simplify 0 into 0
1553944498.748 * [backup-simplify]: Simplify 0 into 0
1553944498.748 * [backup-simplify]: Simplify 0 into 0
1553944498.748 * [backup-simplify]: Simplify 0 into 0
1553944498.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.750 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.753 * [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
1553944498.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944498.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944498.755 * [backup-simplify]: Simplify (- 0) into 0
1553944498.755 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.756 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944498.757 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944498.759 * [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
1553944498.759 * [taylor]: Taking taylor expansion of 0 in k
1553944498.759 * [backup-simplify]: Simplify 0 into 0
1553944498.759 * [backup-simplify]: Simplify 0 into 0
1553944498.760 * [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)))))
1553944498.760 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553944498.760 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553944498.760 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944498.760 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944498.760 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944498.760 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944498.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944498.760 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.760 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.760 * [taylor]: Taking taylor expansion of k in k
1553944498.760 * [backup-simplify]: Simplify 0 into 0
1553944498.760 * [backup-simplify]: Simplify 1 into 1
1553944498.761 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.761 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.761 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.761 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944498.761 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944498.761 * [taylor]: Taking taylor expansion of -2 in k
1553944498.761 * [backup-simplify]: Simplify -2 into -2
1553944498.761 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944498.761 * [taylor]: Taking taylor expansion of PI in k
1553944498.761 * [backup-simplify]: Simplify PI into PI
1553944498.761 * [taylor]: Taking taylor expansion of n in k
1553944498.761 * [backup-simplify]: Simplify n into n
1553944498.761 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944498.761 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944498.761 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944498.761 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944498.764 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.764 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944498.764 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1553944498.764 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944498.764 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944498.764 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944498.764 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944498.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944498.764 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.764 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.764 * [taylor]: Taking taylor expansion of k in n
1553944498.764 * [backup-simplify]: Simplify k into k
1553944498.765 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.765 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.765 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.765 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944498.765 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944498.765 * [taylor]: Taking taylor expansion of -2 in n
1553944498.765 * [backup-simplify]: Simplify -2 into -2
1553944498.765 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.765 * [taylor]: Taking taylor expansion of PI in n
1553944498.765 * [backup-simplify]: Simplify PI into PI
1553944498.765 * [taylor]: Taking taylor expansion of n in n
1553944498.765 * [backup-simplify]: Simplify 0 into 0
1553944498.765 * [backup-simplify]: Simplify 1 into 1
1553944498.765 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.766 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944498.766 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944498.766 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944498.766 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944498.767 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944498.768 * [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)))
1553944498.769 * [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))))
1553944498.769 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944498.769 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944498.769 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944498.769 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944498.769 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944498.769 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.769 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.769 * [taylor]: Taking taylor expansion of k in n
1553944498.769 * [backup-simplify]: Simplify k into k
1553944498.769 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.769 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.769 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.769 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944498.769 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944498.769 * [taylor]: Taking taylor expansion of -2 in n
1553944498.769 * [backup-simplify]: Simplify -2 into -2
1553944498.769 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.769 * [taylor]: Taking taylor expansion of PI in n
1553944498.769 * [backup-simplify]: Simplify PI into PI
1553944498.769 * [taylor]: Taking taylor expansion of n in n
1553944498.769 * [backup-simplify]: Simplify 0 into 0
1553944498.769 * [backup-simplify]: Simplify 1 into 1
1553944498.770 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.770 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944498.771 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944498.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944498.772 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944498.773 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944498.774 * [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)))
1553944498.775 * [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))))
1553944498.777 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944498.777 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944498.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944498.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944498.777 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.777 * [taylor]: Taking taylor expansion of k in k
1553944498.777 * [backup-simplify]: Simplify 0 into 0
1553944498.777 * [backup-simplify]: Simplify 1 into 1
1553944498.777 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.777 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.777 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944498.777 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944498.778 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944498.778 * [taylor]: Taking taylor expansion of -2 in k
1553944498.778 * [backup-simplify]: Simplify -2 into -2
1553944498.778 * [taylor]: Taking taylor expansion of PI in k
1553944498.778 * [backup-simplify]: Simplify PI into PI
1553944498.778 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944498.779 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944498.779 * [taylor]: Taking taylor expansion of (log n) in k
1553944498.779 * [taylor]: Taking taylor expansion of n in k
1553944498.779 * [backup-simplify]: Simplify n into n
1553944498.779 * [backup-simplify]: Simplify (log n) into (log n)
1553944498.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944498.780 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.780 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944498.782 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944498.783 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944498.784 * [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))))
1553944498.785 * [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))))
1553944498.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944498.787 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944498.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944498.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944498.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944498.790 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944498.793 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944498.795 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944498.795 * [taylor]: Taking taylor expansion of 0 in k
1553944498.795 * [backup-simplify]: Simplify 0 into 0
1553944498.795 * [backup-simplify]: Simplify 0 into 0
1553944498.795 * [backup-simplify]: Simplify 0 into 0
1553944498.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.797 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.801 * [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
1553944498.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944498.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944498.802 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944498.805 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944498.808 * [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
1553944498.808 * [taylor]: Taking taylor expansion of 0 in k
1553944498.808 * [backup-simplify]: Simplify 0 into 0
1553944498.808 * [backup-simplify]: Simplify 0 into 0
1553944498.808 * [backup-simplify]: Simplify 0 into 0
1553944498.808 * [backup-simplify]: Simplify 0 into 0
1553944498.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.811 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.817 * [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
1553944498.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944498.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944498.819 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.821 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944498.822 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553944498.825 * [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
1553944498.826 * [taylor]: Taking taylor expansion of 0 in k
1553944498.826 * [backup-simplify]: Simplify 0 into 0
1553944498.826 * [backup-simplify]: Simplify 0 into 0
1553944498.827 * [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)))))
1553944498.827 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1553944498.827 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553944498.828 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553944498.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.828 * [taylor]: Taking taylor expansion of 2 in n
1553944498.828 * [backup-simplify]: Simplify 2 into 2
1553944498.828 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.828 * [taylor]: Taking taylor expansion of n in n
1553944498.828 * [backup-simplify]: Simplify 0 into 0
1553944498.828 * [backup-simplify]: Simplify 1 into 1
1553944498.828 * [taylor]: Taking taylor expansion of PI in n
1553944498.828 * [backup-simplify]: Simplify PI into PI
1553944498.828 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.828 * [taylor]: Taking taylor expansion of 2 in n
1553944498.828 * [backup-simplify]: Simplify 2 into 2
1553944498.828 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.828 * [taylor]: Taking taylor expansion of n in n
1553944498.828 * [backup-simplify]: Simplify 0 into 0
1553944498.828 * [backup-simplify]: Simplify 1 into 1
1553944498.828 * [taylor]: Taking taylor expansion of PI in n
1553944498.828 * [backup-simplify]: Simplify PI into PI
1553944498.829 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944498.829 * [backup-simplify]: Simplify (* 2 0) into 0
1553944498.829 * [backup-simplify]: Simplify 0 into 0
1553944498.831 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944498.833 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944498.833 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.835 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944498.836 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944498.836 * [backup-simplify]: Simplify 0 into 0
1553944498.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944498.838 * [backup-simplify]: Simplify 0 into 0
1553944498.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944498.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553944498.842 * [backup-simplify]: Simplify 0 into 0
1553944498.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944498.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553944498.846 * [backup-simplify]: Simplify 0 into 0
1553944498.848 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944498.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553944498.850 * [backup-simplify]: Simplify 0 into 0
1553944498.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553944498.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553944498.854 * [backup-simplify]: Simplify 0 into 0
1553944498.855 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553944498.855 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553944498.855 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553944498.855 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944498.855 * [taylor]: Taking taylor expansion of 2 in n
1553944498.855 * [backup-simplify]: Simplify 2 into 2
1553944498.855 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.855 * [taylor]: Taking taylor expansion of PI in n
1553944498.855 * [backup-simplify]: Simplify PI into PI
1553944498.855 * [taylor]: Taking taylor expansion of n in n
1553944498.855 * [backup-simplify]: Simplify 0 into 0
1553944498.855 * [backup-simplify]: Simplify 1 into 1
1553944498.855 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.856 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944498.856 * [taylor]: Taking taylor expansion of 2 in n
1553944498.856 * [backup-simplify]: Simplify 2 into 2
1553944498.856 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.856 * [taylor]: Taking taylor expansion of PI in n
1553944498.856 * [backup-simplify]: Simplify PI into PI
1553944498.856 * [taylor]: Taking taylor expansion of n in n
1553944498.856 * [backup-simplify]: Simplify 0 into 0
1553944498.856 * [backup-simplify]: Simplify 1 into 1
1553944498.856 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.857 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.857 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944498.859 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944498.859 * [backup-simplify]: Simplify 0 into 0
1553944498.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.861 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.861 * [backup-simplify]: Simplify 0 into 0
1553944498.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.864 * [backup-simplify]: Simplify 0 into 0
1553944498.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.866 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944498.866 * [backup-simplify]: Simplify 0 into 0
1553944498.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.869 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944498.869 * [backup-simplify]: Simplify 0 into 0
1553944498.870 * [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
1553944498.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944498.872 * [backup-simplify]: Simplify 0 into 0
1553944498.873 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553944498.873 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553944498.873 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553944498.873 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944498.873 * [taylor]: Taking taylor expansion of -2 in n
1553944498.873 * [backup-simplify]: Simplify -2 into -2
1553944498.873 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.873 * [taylor]: Taking taylor expansion of PI in n
1553944498.873 * [backup-simplify]: Simplify PI into PI
1553944498.873 * [taylor]: Taking taylor expansion of n in n
1553944498.873 * [backup-simplify]: Simplify 0 into 0
1553944498.873 * [backup-simplify]: Simplify 1 into 1
1553944498.873 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.873 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944498.873 * [taylor]: Taking taylor expansion of -2 in n
1553944498.874 * [backup-simplify]: Simplify -2 into -2
1553944498.874 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944498.874 * [taylor]: Taking taylor expansion of PI in n
1553944498.874 * [backup-simplify]: Simplify PI into PI
1553944498.874 * [taylor]: Taking taylor expansion of n in n
1553944498.874 * [backup-simplify]: Simplify 0 into 0
1553944498.874 * [backup-simplify]: Simplify 1 into 1
1553944498.874 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944498.875 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944498.875 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944498.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944498.877 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944498.877 * [backup-simplify]: Simplify 0 into 0
1553944498.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.879 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.879 * [backup-simplify]: Simplify 0 into 0
1553944498.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.882 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.882 * [backup-simplify]: Simplify 0 into 0
1553944498.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944498.884 * [backup-simplify]: Simplify 0 into 0
1553944498.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944498.887 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944498.887 * [backup-simplify]: Simplify 0 into 0
1553944498.888 * [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
1553944498.890 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944498.890 * [backup-simplify]: Simplify 0 into 0
1553944498.891 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553944498.891 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1553944498.891 * [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))))
1553944498.891 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1553944498.891 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944498.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944498.891 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.891 * [taylor]: Taking taylor expansion of k in k
1553944498.892 * [backup-simplify]: Simplify 0 into 0
1553944498.892 * [backup-simplify]: Simplify 1 into 1
1553944498.892 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.892 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944498.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944498.894 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944498.894 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944498.894 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944498.894 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944498.894 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.894 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.894 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944498.894 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.894 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.894 * [taylor]: Taking taylor expansion of k in k
1553944498.894 * [backup-simplify]: Simplify 0 into 0
1553944498.894 * [backup-simplify]: Simplify 1 into 1
1553944498.894 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944498.894 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944498.894 * [taylor]: Taking taylor expansion of 2 in k
1553944498.894 * [backup-simplify]: Simplify 2 into 2
1553944498.895 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944498.895 * [taylor]: Taking taylor expansion of n in k
1553944498.895 * [backup-simplify]: Simplify n into n
1553944498.895 * [taylor]: Taking taylor expansion of PI in k
1553944498.895 * [backup-simplify]: Simplify PI into PI
1553944498.895 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944498.895 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944498.895 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944498.895 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944498.896 * [backup-simplify]: Simplify (- 0) into 0
1553944498.896 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.896 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944498.896 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944498.896 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944498.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944498.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.897 * [taylor]: Taking taylor expansion of k in n
1553944498.897 * [backup-simplify]: Simplify k into k
1553944498.897 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.897 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944498.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944498.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944498.897 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944498.897 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944498.897 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944498.897 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944498.897 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.897 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.897 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944498.897 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.897 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.897 * [taylor]: Taking taylor expansion of k in n
1553944498.897 * [backup-simplify]: Simplify k into k
1553944498.897 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944498.897 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.897 * [taylor]: Taking taylor expansion of 2 in n
1553944498.897 * [backup-simplify]: Simplify 2 into 2
1553944498.897 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.897 * [taylor]: Taking taylor expansion of n in n
1553944498.897 * [backup-simplify]: Simplify 0 into 0
1553944498.897 * [backup-simplify]: Simplify 1 into 1
1553944498.898 * [taylor]: Taking taylor expansion of PI in n
1553944498.898 * [backup-simplify]: Simplify PI into PI
1553944498.898 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944498.898 * [backup-simplify]: Simplify (* 2 0) into 0
1553944498.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944498.902 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944498.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.903 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944498.903 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944498.903 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944498.904 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.905 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944498.907 * [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)))))
1553944498.907 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944498.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944498.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944498.907 * [taylor]: Taking taylor expansion of k in n
1553944498.907 * [backup-simplify]: Simplify k into k
1553944498.907 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944498.907 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944498.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944498.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944498.907 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944498.907 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944498.907 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944498.907 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944498.907 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.907 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.907 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944498.907 * [taylor]: Taking taylor expansion of 1/2 in n
1553944498.907 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.907 * [taylor]: Taking taylor expansion of k in n
1553944498.907 * [backup-simplify]: Simplify k into k
1553944498.907 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944498.908 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944498.908 * [taylor]: Taking taylor expansion of 2 in n
1553944498.908 * [backup-simplify]: Simplify 2 into 2
1553944498.908 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944498.908 * [taylor]: Taking taylor expansion of n in n
1553944498.908 * [backup-simplify]: Simplify 0 into 0
1553944498.908 * [backup-simplify]: Simplify 1 into 1
1553944498.908 * [taylor]: Taking taylor expansion of PI in n
1553944498.908 * [backup-simplify]: Simplify PI into PI
1553944498.908 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944498.909 * [backup-simplify]: Simplify (* 2 0) into 0
1553944498.910 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944498.912 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944498.913 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.913 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944498.913 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944498.913 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944498.914 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.915 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944498.917 * [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)))))
1553944498.918 * [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)))
1553944498.918 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1553944498.918 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944498.918 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944498.918 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944498.918 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.918 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.918 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944498.918 * [taylor]: Taking taylor expansion of 1/2 in k
1553944498.918 * [backup-simplify]: Simplify 1/2 into 1/2
1553944498.918 * [taylor]: Taking taylor expansion of k in k
1553944498.918 * [backup-simplify]: Simplify 0 into 0
1553944498.919 * [backup-simplify]: Simplify 1 into 1
1553944498.919 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944498.919 * [taylor]: Taking taylor expansion of (log n) in k
1553944498.919 * [taylor]: Taking taylor expansion of n in k
1553944498.919 * [backup-simplify]: Simplify n into n
1553944498.919 * [backup-simplify]: Simplify (log n) into (log n)
1553944498.919 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944498.919 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944498.919 * [taylor]: Taking taylor expansion of 2 in k
1553944498.919 * [backup-simplify]: Simplify 2 into 2
1553944498.919 * [taylor]: Taking taylor expansion of PI in k
1553944498.919 * [backup-simplify]: Simplify PI into PI
1553944498.919 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944498.920 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944498.923 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944498.924 * [backup-simplify]: Simplify (- 0) into 0
1553944498.924 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944498.925 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.926 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944498.927 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944498.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944498.927 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944498.928 * [taylor]: Taking taylor expansion of k in k
1553944498.928 * [backup-simplify]: Simplify 0 into 0
1553944498.928 * [backup-simplify]: Simplify 1 into 1
1553944498.928 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944498.928 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944498.930 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944498.931 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1553944498.931 * [backup-simplify]: Simplify 0 into 0
1553944498.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944498.933 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944498.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944498.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944498.936 * [backup-simplify]: Simplify (- 0) into 0
1553944498.936 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.937 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.938 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944498.939 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944498.940 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1553944498.940 * [taylor]: Taking taylor expansion of 0 in k
1553944498.940 * [backup-simplify]: Simplify 0 into 0
1553944498.940 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944498.941 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944498.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944498.942 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.943 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944498.943 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944498.943 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944498.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944498.946 * [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)))))))
1553944498.948 * [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)))))))
1553944498.949 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
1553944498.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944498.950 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944498.952 * [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
1553944498.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944498.953 * [backup-simplify]: Simplify (- 0) into 0
1553944498.953 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944498.955 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944498.956 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944498.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944498.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1553944498.958 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1553944498.958 * [taylor]: Taking taylor expansion of 0 in k
1553944498.958 * [backup-simplify]: Simplify 0 into 0
1553944498.958 * [backup-simplify]: Simplify 0 into 0
1553944498.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944498.960 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944498.961 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944498.962 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944498.964 * [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
1553944498.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944498.966 * [backup-simplify]: Simplify (- 0) into 0
1553944498.966 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944498.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944498.973 * [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)))))
1553944498.983 * [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))))))))
1553944498.988 * [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))))))))
1553944498.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944498.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553944498.997 * [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
1553944498.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1553944498.999 * [backup-simplify]: Simplify (- 0) into 0
1553944499.000 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.001 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944499.003 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1553944499.005 * [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
1553944499.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944499.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1553944499.008 * [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
1553944499.008 * [taylor]: Taking taylor expansion of 0 in k
1553944499.008 * [backup-simplify]: Simplify 0 into 0
1553944499.008 * [backup-simplify]: Simplify 0 into 0
1553944499.008 * [backup-simplify]: Simplify 0 into 0
1553944499.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944499.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944499.016 * [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
1553944499.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944499.024 * [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
1553944499.024 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553944499.025 * [backup-simplify]: Simplify (- 0) into 0
1553944499.026 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1553944499.031 * [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)))))))
1553944499.042 * [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))))))))))))))
1553944499.049 * [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))))))))))))))
1553944499.062 * [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))))))))))))))))))))))
1553944499.062 * [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)))))
1553944499.062 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1553944499.062 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944499.062 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944499.062 * [taylor]: Taking taylor expansion of k in k
1553944499.062 * [backup-simplify]: Simplify 0 into 0
1553944499.062 * [backup-simplify]: Simplify 1 into 1
1553944499.063 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944499.064 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944499.064 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944499.064 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944499.064 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944499.064 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944499.064 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.064 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944499.065 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.065 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944499.065 * [taylor]: Taking taylor expansion of k in k
1553944499.065 * [backup-simplify]: Simplify 0 into 0
1553944499.065 * [backup-simplify]: Simplify 1 into 1
1553944499.065 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944499.065 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944499.065 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944499.065 * [taylor]: Taking taylor expansion of 2 in k
1553944499.065 * [backup-simplify]: Simplify 2 into 2
1553944499.065 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944499.065 * [taylor]: Taking taylor expansion of PI in k
1553944499.065 * [backup-simplify]: Simplify PI into PI
1553944499.065 * [taylor]: Taking taylor expansion of n in k
1553944499.065 * [backup-simplify]: Simplify n into n
1553944499.065 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944499.065 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944499.066 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944499.066 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944499.066 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944499.067 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944499.067 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944499.067 * [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))))
1553944499.067 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944499.067 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944499.067 * [taylor]: Taking taylor expansion of k in n
1553944499.067 * [backup-simplify]: Simplify k into k
1553944499.067 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944499.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944499.068 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944499.068 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944499.068 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944499.068 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944499.068 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.068 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944499.068 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.068 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.068 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944499.068 * [taylor]: Taking taylor expansion of k in n
1553944499.068 * [backup-simplify]: Simplify k into k
1553944499.068 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944499.068 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944499.068 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944499.068 * [taylor]: Taking taylor expansion of 2 in n
1553944499.068 * [backup-simplify]: Simplify 2 into 2
1553944499.068 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944499.068 * [taylor]: Taking taylor expansion of PI in n
1553944499.068 * [backup-simplify]: Simplify PI into PI
1553944499.068 * [taylor]: Taking taylor expansion of n in n
1553944499.068 * [backup-simplify]: Simplify 0 into 0
1553944499.068 * [backup-simplify]: Simplify 1 into 1
1553944499.069 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944499.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944499.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944499.070 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944499.070 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944499.070 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944499.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944499.071 * [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)))
1553944499.072 * [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))))
1553944499.072 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944499.072 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944499.072 * [taylor]: Taking taylor expansion of k in n
1553944499.072 * [backup-simplify]: Simplify k into k
1553944499.072 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944499.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944499.072 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944499.072 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944499.072 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944499.072 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944499.072 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.072 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944499.072 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.072 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944499.072 * [taylor]: Taking taylor expansion of k in n
1553944499.072 * [backup-simplify]: Simplify k into k
1553944499.072 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944499.072 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944499.072 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944499.072 * [taylor]: Taking taylor expansion of 2 in n
1553944499.072 * [backup-simplify]: Simplify 2 into 2
1553944499.072 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944499.072 * [taylor]: Taking taylor expansion of PI in n
1553944499.072 * [backup-simplify]: Simplify PI into PI
1553944499.072 * [taylor]: Taking taylor expansion of n in n
1553944499.072 * [backup-simplify]: Simplify 0 into 0
1553944499.072 * [backup-simplify]: Simplify 1 into 1
1553944499.073 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944499.073 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944499.074 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944499.074 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944499.074 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944499.074 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944499.075 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944499.075 * [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)))
1553944499.076 * [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))))
1553944499.077 * [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))
1553944499.077 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1553944499.077 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944499.077 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944499.077 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944499.077 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.077 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944499.077 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.077 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944499.077 * [taylor]: Taking taylor expansion of k in k
1553944499.077 * [backup-simplify]: Simplify 0 into 0
1553944499.077 * [backup-simplify]: Simplify 1 into 1
1553944499.077 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944499.077 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944499.077 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944499.077 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944499.077 * [taylor]: Taking taylor expansion of 2 in k
1553944499.077 * [backup-simplify]: Simplify 2 into 2
1553944499.077 * [taylor]: Taking taylor expansion of PI in k
1553944499.077 * [backup-simplify]: Simplify PI into PI
1553944499.078 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944499.078 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944499.078 * [taylor]: Taking taylor expansion of (log n) in k
1553944499.078 * [taylor]: Taking taylor expansion of n in k
1553944499.078 * [backup-simplify]: Simplify n into n
1553944499.078 * [backup-simplify]: Simplify (log n) into (log n)
1553944499.079 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944499.079 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944499.079 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944499.079 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944499.080 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944499.080 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944499.081 * [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))))
1553944499.081 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944499.081 * [taylor]: Taking taylor expansion of k in k
1553944499.081 * [backup-simplify]: Simplify 0 into 0
1553944499.081 * [backup-simplify]: Simplify 1 into 1
1553944499.081 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944499.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944499.083 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1553944499.083 * [backup-simplify]: Simplify 0 into 0
1553944499.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944499.084 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944499.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944499.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944499.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944499.086 * [backup-simplify]: Simplify (- 0) into 0
1553944499.086 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944499.087 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944499.089 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944499.089 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553944499.089 * [taylor]: Taking taylor expansion of 0 in k
1553944499.089 * [backup-simplify]: Simplify 0 into 0
1553944499.089 * [backup-simplify]: Simplify 0 into 0
1553944499.090 * [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))))))
1553944499.091 * [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))))))
1553944499.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944499.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944499.094 * [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
1553944499.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944499.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944499.095 * [backup-simplify]: Simplify (- 0) into 0
1553944499.095 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.096 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944499.097 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944499.100 * [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
1553944499.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1553944499.102 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1553944499.102 * [taylor]: Taking taylor expansion of 0 in k
1553944499.103 * [backup-simplify]: Simplify 0 into 0
1553944499.103 * [backup-simplify]: Simplify 0 into 0
1553944499.103 * [backup-simplify]: Simplify 0 into 0
1553944499.106 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944499.108 * [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))))))
1553944499.109 * [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))))))
1553944499.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944499.112 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944499.118 * [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
1553944499.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944499.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944499.120 * [backup-simplify]: Simplify (- 0) into 0
1553944499.120 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944499.124 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944499.127 * [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
1553944499.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1553944499.130 * [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
1553944499.130 * [taylor]: Taking taylor expansion of 0 in k
1553944499.130 * [backup-simplify]: Simplify 0 into 0
1553944499.130 * [backup-simplify]: Simplify 0 into 0
1553944499.130 * [backup-simplify]: Simplify 0 into 0
1553944499.130 * [backup-simplify]: Simplify 0 into 0
1553944499.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944499.137 * [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))))))
1553944499.138 * [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))))))
1553944499.143 * [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))))))))
1553944499.143 * [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)))
1553944499.143 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1553944499.143 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553944499.143 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944499.143 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944499.143 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944499.143 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944499.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944499.143 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.143 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.143 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944499.143 * [taylor]: Taking taylor expansion of k in k
1553944499.143 * [backup-simplify]: Simplify 0 into 0
1553944499.143 * [backup-simplify]: Simplify 1 into 1
1553944499.144 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944499.144 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.144 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.144 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944499.144 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944499.144 * [taylor]: Taking taylor expansion of -2 in k
1553944499.144 * [backup-simplify]: Simplify -2 into -2
1553944499.144 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944499.144 * [taylor]: Taking taylor expansion of PI in k
1553944499.144 * [backup-simplify]: Simplify PI into PI
1553944499.144 * [taylor]: Taking taylor expansion of n in k
1553944499.144 * [backup-simplify]: Simplify n into n
1553944499.144 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944499.144 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944499.144 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944499.145 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944499.145 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944499.145 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944499.146 * [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)))
1553944499.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944499.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944499.146 * [taylor]: Taking taylor expansion of -1 in k
1553944499.146 * [backup-simplify]: Simplify -1 into -1
1553944499.146 * [taylor]: Taking taylor expansion of k in k
1553944499.146 * [backup-simplify]: Simplify 0 into 0
1553944499.146 * [backup-simplify]: Simplify 1 into 1
1553944499.146 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944499.147 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944499.151 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944499.151 * [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))))
1553944499.151 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553944499.151 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944499.151 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944499.151 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944499.151 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944499.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944499.151 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.151 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944499.152 * [taylor]: Taking taylor expansion of k in n
1553944499.152 * [backup-simplify]: Simplify k into k
1553944499.152 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944499.152 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.152 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.152 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944499.152 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944499.152 * [taylor]: Taking taylor expansion of -2 in n
1553944499.152 * [backup-simplify]: Simplify -2 into -2
1553944499.152 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944499.152 * [taylor]: Taking taylor expansion of PI in n
1553944499.152 * [backup-simplify]: Simplify PI into PI
1553944499.152 * [taylor]: Taking taylor expansion of n in n
1553944499.152 * [backup-simplify]: Simplify 0 into 0
1553944499.152 * [backup-simplify]: Simplify 1 into 1
1553944499.153 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944499.153 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944499.155 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944499.155 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944499.155 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944499.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944499.157 * [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)))
1553944499.158 * [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))))
1553944499.158 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553944499.158 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553944499.158 * [taylor]: Taking taylor expansion of -1 in n
1553944499.158 * [backup-simplify]: Simplify -1 into -1
1553944499.158 * [taylor]: Taking taylor expansion of k in n
1553944499.158 * [backup-simplify]: Simplify k into k
1553944499.158 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553944499.158 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553944499.159 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553944499.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553944499.160 * [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)))
1553944499.160 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553944499.160 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944499.160 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944499.160 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944499.160 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944499.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944499.160 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.160 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.160 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944499.160 * [taylor]: Taking taylor expansion of k in n
1553944499.160 * [backup-simplify]: Simplify k into k
1553944499.160 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944499.160 * [taylor]: Taking taylor expansion of 1/2 in n
1553944499.160 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.160 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944499.160 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944499.160 * [taylor]: Taking taylor expansion of -2 in n
1553944499.160 * [backup-simplify]: Simplify -2 into -2
1553944499.160 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944499.160 * [taylor]: Taking taylor expansion of PI in n
1553944499.160 * [backup-simplify]: Simplify PI into PI
1553944499.160 * [taylor]: Taking taylor expansion of n in n
1553944499.160 * [backup-simplify]: Simplify 0 into 0
1553944499.160 * [backup-simplify]: Simplify 1 into 1
1553944499.161 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944499.161 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944499.162 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944499.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944499.162 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944499.163 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944499.164 * [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)))
1553944499.165 * [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))))
1553944499.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553944499.165 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553944499.165 * [taylor]: Taking taylor expansion of -1 in n
1553944499.165 * [backup-simplify]: Simplify -1 into -1
1553944499.165 * [taylor]: Taking taylor expansion of k in n
1553944499.165 * [backup-simplify]: Simplify k into k
1553944499.165 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553944499.165 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553944499.166 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553944499.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553944499.167 * [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)))
1553944499.167 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1553944499.167 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944499.167 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944499.167 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944499.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944499.167 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.167 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944499.167 * [taylor]: Taking taylor expansion of k in k
1553944499.167 * [backup-simplify]: Simplify 0 into 0
1553944499.167 * [backup-simplify]: Simplify 1 into 1
1553944499.167 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944499.168 * [taylor]: Taking taylor expansion of 1/2 in k
1553944499.168 * [backup-simplify]: Simplify 1/2 into 1/2
1553944499.168 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944499.168 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944499.168 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944499.168 * [taylor]: Taking taylor expansion of -2 in k
1553944499.168 * [backup-simplify]: Simplify -2 into -2
1553944499.168 * [taylor]: Taking taylor expansion of PI in k
1553944499.168 * [backup-simplify]: Simplify PI into PI
1553944499.168 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944499.169 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944499.169 * [taylor]: Taking taylor expansion of (log n) in k
1553944499.169 * [taylor]: Taking taylor expansion of n in k
1553944499.169 * [backup-simplify]: Simplify n into n
1553944499.169 * [backup-simplify]: Simplify (log n) into (log n)
1553944499.169 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944499.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944499.170 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944499.171 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944499.172 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944499.173 * [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))))
1553944499.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944499.173 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944499.173 * [taylor]: Taking taylor expansion of -1 in k
1553944499.173 * [backup-simplify]: Simplify -1 into -1
1553944499.173 * [taylor]: Taking taylor expansion of k in k
1553944499.173 * [backup-simplify]: Simplify 0 into 0
1553944499.173 * [backup-simplify]: Simplify 1 into 1
1553944499.173 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944499.174 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944499.175 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944499.176 * [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)))))
1553944499.177 * [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)))))
1553944499.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944499.178 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944499.180 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944499.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944499.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944499.181 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.183 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944499.184 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944499.186 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944499.188 * [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
1553944499.188 * [taylor]: Taking taylor expansion of 0 in k
1553944499.188 * [backup-simplify]: Simplify 0 into 0
1553944499.188 * [backup-simplify]: Simplify 0 into 0
1553944499.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553944499.192 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944499.194 * [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))))))
1553944499.195 * [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))))))
1553944499.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944499.197 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944499.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1553944499.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944499.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944499.203 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944499.204 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944499.206 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944499.208 * [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
1553944499.209 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944499.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1553944499.211 * [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
1553944499.211 * [taylor]: Taking taylor expansion of 0 in k
1553944499.211 * [backup-simplify]: Simplify 0 into 0
1553944499.211 * [backup-simplify]: Simplify 0 into 0
1553944499.211 * [backup-simplify]: Simplify 0 into 0
1553944499.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944499.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944499.220 * [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))))))
1553944499.222 * [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))))))
1553944499.226 * [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)))))))))))
1553944499.226 * * * [progress]: simplifying candidates
1553944499.226 * * * * [progress]: [ 1 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.226 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553944499.226 * * [simplify]: iters left: 6 (11 enodes)
1553944499.232 * * [simplify]: iters left: 5 (43 enodes)
1553944499.246 * * [simplify]: iters left: 4 (79 enodes)
1553944499.273 * * [simplify]: iters left: 3 (174 enodes)
1553944499.359 * * [simplify]: iters left: 2 (469 enodes)
1553944499.613 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.613 * * [simplify]: Extracting #1: cost 84 inf + 0
1553944499.615 * * [simplify]: Extracting #2: cost 306 inf + 0
1553944499.617 * * [simplify]: Extracting #3: cost 323 inf + 700
1553944499.623 * * [simplify]: Extracting #4: cost 264 inf + 10482
1553944499.647 * * [simplify]: Extracting #5: cost 52 inf + 75582
1553944499.668 * * [simplify]: Extracting #6: cost 0 inf + 94795
1553944499.696 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553944499.696 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))) (sqrt k)))
1553944499.696 * * * * [progress]: [ 2 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.696 * * * * [progress]: [ 3 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.696 * [simplify]: Simplifying (* (* n 2) PI)
1553944499.696 * * [simplify]: iters left: 4 (5 enodes)
1553944499.698 * * [simplify]: iters left: 3 (19 enodes)
1553944499.701 * * [simplify]: iters left: 2 (27 enodes)
1553944499.705 * * [simplify]: iters left: 1 (32 enodes)
1553944499.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.709 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944499.709 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944499.709 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944499.709 * [simplify]: Simplified to (* (* n 2) PI)
1553944499.709 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1553944499.709 * * * * [progress]: [ 4 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1553944499.709 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944499.709 * * [simplify]: iters left: 5 (8 enodes)
1553944499.711 * * [simplify]: iters left: 4 (28 enodes)
1553944499.716 * * [simplify]: iters left: 3 (36 enodes)
1553944499.721 * * [simplify]: iters left: 2 (41 enodes)
1553944499.732 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.732 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944499.732 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944499.732 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944499.732 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944499.733 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944499.733 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944499.733 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
1553944499.733 * * * * [progress]: [ 5 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.734 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553944499.734 * * [simplify]: iters left: 5 (6 enodes)
1553944499.737 * * [simplify]: iters left: 4 (20 enodes)
1553944499.740 * * [simplify]: iters left: 3 (25 enodes)
1553944499.744 * * [simplify]: iters left: 2 (27 enodes)
1553944499.748 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.748 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944499.748 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944499.748 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944499.748 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944499.748 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944499.748 * * [simplify]: Extracting #6: cost 1 inf + 662
1553944499.748 * * [simplify]: Extracting #7: cost 0 inf + 825
1553944499.749 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553944499.749 * [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)))
1553944499.750 * * * * [progress]: [ 6 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.750 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553944499.750 * * [simplify]: iters left: 5 (6 enodes)
1553944499.752 * * [simplify]: iters left: 4 (20 enodes)
1553944499.755 * * [simplify]: iters left: 3 (25 enodes)
1553944499.758 * * [simplify]: iters left: 2 (27 enodes)
1553944499.762 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.762 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944499.762 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944499.762 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944499.762 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944499.763 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944499.763 * * [simplify]: Extracting #6: cost 1 inf + 622
1553944499.763 * * [simplify]: Extracting #7: cost 0 inf + 745
1553944499.763 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553944499.763 * [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)))
1553944499.763 * * * * [progress]: [ 7 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.763 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553944499.763 * * [simplify]: iters left: 4 (5 enodes)
1553944499.765 * * [simplify]: iters left: 3 (17 enodes)
1553944499.770 * * [simplify]: iters left: 2 (22 enodes)
1553944499.777 * * [simplify]: iters left: 1 (24 enodes)
1553944499.784 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.784 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944499.784 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944499.784 * * [simplify]: Extracting #3: cost 1 inf + 458
1553944499.784 * * [simplify]: Extracting #4: cost 0 inf + 499
1553944499.785 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553944499.785 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))
1553944499.785 * * * * [progress]: [ 8 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1553944499.785 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944499.785 * * [simplify]: iters left: 5 (9 enodes)
1553944499.790 * * [simplify]: iters left: 4 (33 enodes)
1553944499.799 * * [simplify]: iters left: 3 (43 enodes)
1553944499.811 * * [simplify]: iters left: 2 (48 enodes)
1553944499.822 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.822 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944499.822 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944499.823 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944499.823 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944499.823 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944499.824 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944499.824 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944499.824 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1553944499.824 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1553944499.825 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944499.825 * * [simplify]: iters left: 5 (9 enodes)
1553944499.829 * * [simplify]: iters left: 4 (33 enodes)
1553944499.839 * * [simplify]: iters left: 3 (43 enodes)
1553944499.852 * * [simplify]: iters left: 2 (48 enodes)
1553944499.863 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.864 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944499.864 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944499.864 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944499.864 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944499.865 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944499.865 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944499.866 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944499.866 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt k)))
1553944499.866 * * * * [progress]: [ 10 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.866 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553944499.866 * * [simplify]: iters left: 5 (8 enodes)
1553944499.870 * * [simplify]: iters left: 4 (27 enodes)
1553944499.878 * * [simplify]: iters left: 3 (32 enodes)
1553944499.884 * * [simplify]: iters left: 2 (34 enodes)
1553944499.890 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944499.890 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944499.890 * * [simplify]: Extracting #2: cost 11 inf + 0
1553944499.890 * * [simplify]: Extracting #3: cost 12 inf + 3
1553944499.890 * * [simplify]: Extracting #4: cost 8 inf + 171
1553944499.890 * * [simplify]: Extracting #5: cost 1 inf + 918
1553944499.891 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553944499.891 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944499.891 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
1553944499.891 * * * * [progress]: [ 11 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 12 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 13 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 14 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 15 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 16 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 17 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 18 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 19 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 20 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 21 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 22 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 23 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 24 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.891 * * * * [progress]: [ 25 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.892 * * * * [progress]: [ 26 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.892 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.892 * * * * [progress]: [ 28 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944499.892 * * * * [progress]: [ 29 / 80 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1553944499.892 * * * * [progress]: [ 30 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1553944499.892 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553944499.892 * * [simplify]: iters left: 6 (14 enodes)
1553944499.896 * * [simplify]: iters left: 5 (54 enodes)
1553944499.906 * * [simplify]: iters left: 4 (93 enodes)
1553944499.933 * * [simplify]: iters left: 3 (211 enodes)
1553944500.011 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.012 * * [simplify]: Extracting #1: cost 42 inf + 0
1553944500.012 * * [simplify]: Extracting #2: cost 140 inf + 0
1553944500.012 * * [simplify]: Extracting #3: cost 174 inf + 73
1553944500.013 * * [simplify]: Extracting #4: cost 166 inf + 1096
1553944500.015 * * [simplify]: Extracting #5: cost 109 inf + 11866
1553944500.023 * * [simplify]: Extracting #6: cost 16 inf + 39971
1553944500.041 * * [simplify]: Extracting #7: cost 0 inf + 46184
1553944500.052 * * [simplify]: Extracting #8: cost 0 inf + 46104
1553944500.064 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1553944500.065 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1553944500.065 * * * * [progress]: [ 31 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1553944500.065 * [simplify]: Simplifying (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553944500.065 * * [simplify]: iters left: 6 (14 enodes)
1553944500.069 * * [simplify]: iters left: 5 (54 enodes)
1553944500.077 * * [simplify]: iters left: 4 (93 enodes)
1553944500.093 * * [simplify]: iters left: 3 (211 enodes)
1553944500.214 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.214 * * [simplify]: Extracting #1: cost 42 inf + 0
1553944500.215 * * [simplify]: Extracting #2: cost 140 inf + 0
1553944500.216 * * [simplify]: Extracting #3: cost 174 inf + 73
1553944500.218 * * [simplify]: Extracting #4: cost 166 inf + 1096
1553944500.222 * * [simplify]: Extracting #5: cost 109 inf + 11866
1553944500.236 * * [simplify]: Extracting #6: cost 16 inf + 39971
1553944500.254 * * [simplify]: Extracting #7: cost 0 inf + 46184
1553944500.273 * * [simplify]: Extracting #8: cost 0 inf + 46104
1553944500.291 * [simplify]: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))
1553944500.291 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))) (log (sqrt k)))))
1553944500.291 * * * * [progress]: [ 32 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1553944500.292 * [simplify]: Simplifying (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
1553944500.292 * * [simplify]: iters left: 6 (14 enodes)
1553944500.302 * * [simplify]: iters left: 5 (52 enodes)
1553944500.318 * * [simplify]: iters left: 4 (78 enodes)
1553944500.342 * * [simplify]: iters left: 3 (129 enodes)
1553944500.392 * * [simplify]: iters left: 2 (301 enodes)
1553944500.647 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.647 * * [simplify]: Extracting #1: cost 95 inf + 0
1553944500.648 * * [simplify]: Extracting #2: cost 251 inf + 0
1553944500.650 * * [simplify]: Extracting #3: cost 268 inf + 185
1553944500.652 * * [simplify]: Extracting #4: cost 245 inf + 2717
1553944500.665 * * [simplify]: Extracting #5: cost 109 inf + 39317
1553944500.694 * * [simplify]: Extracting #6: cost 4 inf + 84912
1553944500.711 * * [simplify]: Extracting #7: cost 0 inf + 86901
1553944500.731 * [simplify]: Simplified to (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k)))
1553944500.731 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1553944500.731 * * * * [progress]: [ 33 / 80 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944500.731 * * * * [progress]: [ 34 / 80 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944500.732 * * * * [progress]: [ 35 / 80 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1553944500.732 * [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)))
1553944500.732 * * [simplify]: iters left: 6 (16 enodes)
1553944500.736 * * [simplify]: iters left: 5 (61 enodes)
1553944500.751 * * [simplify]: iters left: 4 (113 enodes)
1553944500.788 * * [simplify]: iters left: 3 (185 enodes)
1553944500.821 * * [simplify]: iters left: 2 (215 enodes)
1553944500.850 * * [simplify]: iters left: 1 (221 enodes)
1553944500.880 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.880 * * [simplify]: Extracting #1: cost 22 inf + 0
1553944500.881 * * [simplify]: Extracting #2: cost 41 inf + 123
1553944500.881 * * [simplify]: Extracting #3: cost 49 inf + 246
1553944500.881 * * [simplify]: Extracting #4: cost 51 inf + 250
1553944500.882 * * [simplify]: Extracting #5: cost 39 inf + 1291
1553944500.886 * * [simplify]: Extracting #6: cost 5 inf + 15749
1553944500.892 * * [simplify]: Extracting #7: cost 0 inf + 18264
1553944500.899 * [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))
1553944500.900 * [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))))
1553944500.900 * * * * [progress]: [ 36 / 80 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944500.900 * * * * [progress]: [ 37 / 80 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944500.900 * * * * [progress]: [ 38 / 80 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944500.900 * * * * [progress]: [ 39 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1553944500.900 * * * * [progress]: [ 40 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
1553944500.900 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944500.900 * * [simplify]: iters left: 6 (12 enodes)
1553944500.906 * * [simplify]: iters left: 5 (43 enodes)
1553944500.917 * * [simplify]: iters left: 4 (53 enodes)
1553944500.925 * * [simplify]: iters left: 3 (59 enodes)
1553944500.933 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.933 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944500.933 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944500.933 * * [simplify]: Extracting #3: cost 21 inf + 1
1553944500.933 * * [simplify]: Extracting #4: cost 19 inf + 47
1553944500.933 * * [simplify]: Extracting #5: cost 12 inf + 460
1553944500.933 * * [simplify]: Extracting #6: cost 2 inf + 1923
1553944500.934 * * [simplify]: Extracting #7: cost 0 inf + 2531
1553944500.934 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944500.934 * [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)))))
1553944500.934 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1553944500.934 * * [simplify]: iters left: 6 (12 enodes)
1553944500.937 * * [simplify]: iters left: 5 (42 enodes)
1553944500.943 * * [simplify]: iters left: 4 (52 enodes)
1553944500.950 * * [simplify]: iters left: 3 (58 enodes)
1553944500.961 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.961 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944500.961 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944500.961 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944500.961 * * [simplify]: Extracting #4: cost 19 inf + 128
1553944500.961 * * [simplify]: Extracting #5: cost 4 inf + 1367
1553944500.962 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944500.963 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944500.963 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1553944500.963 * [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)))))
1553944500.964 * * * * [progress]: [ 41 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1553944500.964 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1553944500.964 * * [simplify]: iters left: 6 (11 enodes)
1553944500.968 * * [simplify]: iters left: 5 (38 enodes)
1553944500.973 * * [simplify]: iters left: 4 (46 enodes)
1553944500.980 * * [simplify]: iters left: 3 (51 enodes)
1553944500.986 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944500.986 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944500.986 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944500.986 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944500.987 * * [simplify]: Extracting #4: cost 16 inf + 5
1553944500.987 * * [simplify]: Extracting #5: cost 2 inf + 913
1553944500.987 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553944500.987 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553944500.989 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1553944500.989 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1553944500.989 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1553944500.989 * * [simplify]: iters left: 6 (12 enodes)
1553944500.992 * * [simplify]: iters left: 5 (42 enodes)
1553944500.999 * * [simplify]: iters left: 4 (52 enodes)
1553944501.013 * * [simplify]: iters left: 3 (58 enodes)
1553944501.029 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.029 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.029 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.029 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944501.029 * * [simplify]: Extracting #4: cost 19 inf + 128
1553944501.030 * * [simplify]: Extracting #5: cost 4 inf + 1287
1553944501.030 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944501.031 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944501.032 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1553944501.032 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1553944501.032 * * * * [progress]: [ 42 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1553944501.033 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1553944501.033 * * [simplify]: iters left: 6 (9 enodes)
1553944501.038 * * [simplify]: iters left: 5 (32 enodes)
1553944501.050 * * [simplify]: iters left: 4 (44 enodes)
1553944501.063 * * [simplify]: iters left: 3 (49 enodes)
1553944501.075 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.076 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944501.076 * * [simplify]: Extracting #2: cost 10 inf + 2
1553944501.076 * * [simplify]: Extracting #3: cost 9 inf + 47
1553944501.076 * * [simplify]: Extracting #4: cost 0 inf + 669
1553944501.077 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1553944501.077 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553944501.077 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553944501.077 * * [simplify]: iters left: 6 (11 enodes)
1553944501.083 * * [simplify]: iters left: 5 (39 enodes)
1553944501.095 * * [simplify]: iters left: 4 (49 enodes)
1553944501.109 * * [simplify]: iters left: 3 (54 enodes)
1553944501.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.123 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.123 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.123 * * [simplify]: Extracting #3: cost 16 inf + 83
1553944501.123 * * [simplify]: Extracting #4: cost 16 inf + 169
1553944501.124 * * [simplify]: Extracting #5: cost 3 inf + 1500
1553944501.124 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944501.125 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553944501.125 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553944501.125 * * * * [progress]: [ 43 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
1553944501.126 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.126 * * [simplify]: iters left: 6 (12 enodes)
1553944501.132 * * [simplify]: iters left: 5 (43 enodes)
1553944501.147 * * [simplify]: iters left: 4 (53 enodes)
1553944501.162 * * [simplify]: iters left: 3 (59 enodes)
1553944501.178 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.178 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944501.179 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944501.179 * * [simplify]: Extracting #3: cost 21 inf + 1
1553944501.179 * * [simplify]: Extracting #4: cost 19 inf + 47
1553944501.179 * * [simplify]: Extracting #5: cost 12 inf + 460
1553944501.180 * * [simplify]: Extracting #6: cost 2 inf + 1923
1553944501.181 * * [simplify]: Extracting #7: cost 0 inf + 2531
1553944501.181 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.181 * [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)))))
1553944501.182 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
1553944501.182 * * [simplify]: iters left: 6 (12 enodes)
1553944501.188 * * [simplify]: iters left: 5 (42 enodes)
1553944501.200 * * [simplify]: iters left: 4 (52 enodes)
1553944501.215 * * [simplify]: iters left: 3 (58 enodes)
1553944501.230 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.230 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.230 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.230 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944501.230 * * [simplify]: Extracting #4: cost 19 inf + 128
1553944501.230 * * [simplify]: Extracting #5: cost 4 inf + 1367
1553944501.231 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944501.231 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944501.231 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt k)))
1553944501.232 * [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)))))
1553944501.232 * * * * [progress]: [ 44 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
1553944501.232 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
1553944501.232 * * [simplify]: iters left: 6 (11 enodes)
1553944501.235 * * [simplify]: iters left: 5 (38 enodes)
1553944501.241 * * [simplify]: iters left: 4 (46 enodes)
1553944501.247 * * [simplify]: iters left: 3 (51 enodes)
1553944501.254 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.254 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.254 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.254 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944501.254 * * [simplify]: Extracting #4: cost 16 inf + 5
1553944501.254 * * [simplify]: Extracting #5: cost 2 inf + 913
1553944501.255 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553944501.255 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553944501.255 * [simplify]: Simplified to (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k)))
1553944501.255 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))
1553944501.255 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
1553944501.255 * * [simplify]: iters left: 6 (12 enodes)
1553944501.260 * * [simplify]: iters left: 5 (42 enodes)
1553944501.273 * * [simplify]: iters left: 4 (52 enodes)
1553944501.288 * * [simplify]: iters left: 3 (58 enodes)
1553944501.295 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.295 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.295 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.295 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944501.295 * * [simplify]: Extracting #4: cost 19 inf + 128
1553944501.296 * * [simplify]: Extracting #5: cost 4 inf + 1287
1553944501.296 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944501.297 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944501.297 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))
1553944501.297 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* n 2) PI)) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt k)))))
1553944501.297 * * * * [progress]: [ 45 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
1553944501.297 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) 1/2) 1)
1553944501.298 * * [simplify]: iters left: 6 (9 enodes)
1553944501.301 * * [simplify]: iters left: 5 (32 enodes)
1553944501.306 * * [simplify]: iters left: 4 (44 enodes)
1553944501.312 * * [simplify]: iters left: 3 (49 enodes)
1553944501.318 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.318 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944501.318 * * [simplify]: Extracting #2: cost 10 inf + 2
1553944501.318 * * [simplify]: Extracting #3: cost 9 inf + 47
1553944501.319 * * [simplify]: Extracting #4: cost 0 inf + 669
1553944501.319 * [simplify]: Simplified to (sqrt (* (* PI 2) n))
1553944501.319 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553944501.319 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553944501.319 * * [simplify]: iters left: 6 (11 enodes)
1553944501.322 * * [simplify]: iters left: 5 (39 enodes)
1553944501.334 * * [simplify]: iters left: 4 (49 enodes)
1553944501.348 * * [simplify]: iters left: 3 (54 enodes)
1553944501.362 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.362 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.362 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.362 * * [simplify]: Extracting #3: cost 16 inf + 83
1553944501.362 * * [simplify]: Extracting #4: cost 16 inf + 169
1553944501.363 * * [simplify]: Extracting #5: cost 3 inf + 1500
1553944501.363 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944501.364 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
1553944501.364 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))
1553944501.364 * * * * [progress]: [ 46 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1553944501.365 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.365 * * [simplify]: iters left: 6 (12 enodes)
1553944501.371 * * [simplify]: iters left: 5 (41 enodes)
1553944501.384 * * [simplify]: iters left: 4 (48 enodes)
1553944501.393 * * [simplify]: iters left: 3 (50 enodes)
1553944501.400 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.400 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944501.400 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944501.400 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944501.400 * * [simplify]: Extracting #4: cost 20 inf + 46
1553944501.400 * * [simplify]: Extracting #5: cost 8 inf + 1494
1553944501.401 * * [simplify]: Extracting #6: cost 2 inf + 2926
1553944501.401 * * [simplify]: Extracting #7: cost 0 inf + 3954
1553944501.402 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.402 * [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)))))
1553944501.402 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553944501.402 * * [simplify]: iters left: 6 (10 enodes)
1553944501.405 * * [simplify]: iters left: 5 (32 enodes)
1553944501.409 * * [simplify]: iters left: 4 (37 enodes)
1553944501.415 * * [simplify]: iters left: 3 (39 enodes)
1553944501.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.420 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.420 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.420 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944501.420 * * [simplify]: Extracting #4: cost 14 inf + 85
1553944501.420 * * [simplify]: Extracting #5: cost 11 inf + 369
1553944501.420 * * [simplify]: Extracting #6: cost 6 inf + 659
1553944501.421 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553944501.421 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553944501.421 * [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)))))
1553944501.421 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1553944501.421 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944501.421 * * [simplify]: iters left: 6 (11 enodes)
1553944501.425 * * [simplify]: iters left: 5 (36 enodes)
1553944501.430 * * [simplify]: iters left: 4 (41 enodes)
1553944501.436 * * [simplify]: iters left: 3 (43 enodes)
1553944501.442 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.442 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.442 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.442 * * [simplify]: Extracting #3: cost 18 inf + 0
1553944501.442 * * [simplify]: Extracting #4: cost 12 inf + 291
1553944501.443 * * [simplify]: Extracting #5: cost 4 inf + 1121
1553944501.443 * * [simplify]: Extracting #6: cost 0 inf + 2404
1553944501.443 * [simplify]: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944501.443 * [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)))))
1553944501.443 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944501.444 * * [simplify]: iters left: 6 (10 enodes)
1553944501.446 * * [simplify]: iters left: 5 (32 enodes)
1553944501.451 * * [simplify]: iters left: 4 (37 enodes)
1553944501.457 * * [simplify]: iters left: 3 (39 enodes)
1553944501.463 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.463 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.463 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.463 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944501.463 * * [simplify]: Extracting #4: cost 14 inf + 85
1553944501.463 * * [simplify]: Extracting #5: cost 11 inf + 289
1553944501.463 * * [simplify]: Extracting #6: cost 6 inf + 579
1553944501.463 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553944501.464 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944501.464 * [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)))))
1553944501.464 * * * * [progress]: [ 48 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
1553944501.464 * [simplify]: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
1553944501.464 * * [simplify]: iters left: 6 (10 enodes)
1553944501.467 * * [simplify]: iters left: 5 (33 enodes)
1553944501.473 * * [simplify]: iters left: 4 (40 enodes)
1553944501.480 * * [simplify]: iters left: 3 (42 enodes)
1553944501.486 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.486 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944501.486 * * [simplify]: Extracting #2: cost 11 inf + 1
1553944501.486 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944501.486 * * [simplify]: Extracting #4: cost 7 inf + 214
1553944501.486 * * [simplify]: Extracting #5: cost 0 inf + 1253
1553944501.487 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944501.487 * [simplify]: Simplified (2 1) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1553944501.487 * [simplify]: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1553944501.487 * * [simplify]: iters left: 6 (9 enodes)
1553944501.489 * * [simplify]: iters left: 5 (29 enodes)
1553944501.493 * * [simplify]: iters left: 4 (34 enodes)
1553944501.498 * * [simplify]: iters left: 3 (36 enodes)
1553944501.503 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.503 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.503 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944501.503 * * [simplify]: Extracting #3: cost 9 inf + 84
1553944501.503 * * [simplify]: Extracting #4: cost 12 inf + 85
1553944501.503 * * [simplify]: Extracting #5: cost 10 inf + 209
1553944501.504 * * [simplify]: Extracting #6: cost 6 inf + 457
1553944501.504 * * [simplify]: Extracting #7: cost 1 inf + 1624
1553944501.504 * * [simplify]: Extracting #8: cost 0 inf + 1918
1553944501.504 * [simplify]: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
1553944501.504 * [simplify]: Simplified (2 2) to (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
1553944501.504 * * * * [progress]: [ 49 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1553944501.505 * [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))))
1553944501.505 * * [simplify]: iters left: 6 (16 enodes)
1553944501.509 * * [simplify]: iters left: 5 (60 enodes)
1553944501.519 * * [simplify]: iters left: 4 (88 enodes)
1553944501.535 * * [simplify]: iters left: 3 (102 enodes)
1553944501.561 * * [simplify]: iters left: 2 (105 enodes)
1553944501.589 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.590 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944501.590 * * [simplify]: Extracting #2: cost 22 inf + 0
1553944501.590 * * [simplify]: Extracting #3: cost 27 inf + 0
1553944501.590 * * [simplify]: Extracting #4: cost 35 inf + 163
1553944501.590 * * [simplify]: Extracting #5: cost 32 inf + 693
1553944501.591 * * [simplify]: Extracting #6: cost 20 inf + 1775
1553944501.593 * * [simplify]: Extracting #7: cost 3 inf + 10110
1553944501.596 * * [simplify]: Extracting #8: cost 0 inf + 11915
1553944501.599 * [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))))
1553944501.599 * [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)))))
1553944501.599 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553944501.600 * * [simplify]: iters left: 6 (14 enodes)
1553944501.606 * * [simplify]: iters left: 5 (48 enodes)
1553944501.621 * * [simplify]: iters left: 4 (61 enodes)
1553944501.638 * * [simplify]: iters left: 3 (69 enodes)
1553944501.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.651 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.651 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944501.651 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944501.651 * * [simplify]: Extracting #4: cost 22 inf + 42
1553944501.651 * * [simplify]: Extracting #5: cost 20 inf + 371
1553944501.651 * * [simplify]: Extracting #6: cost 7 inf + 1535
1553944501.652 * * [simplify]: Extracting #7: cost 1 inf + 3518
1553944501.653 * * [simplify]: Extracting #8: cost 0 inf + 4133
1553944501.653 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553944501.653 * [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)))))
1553944501.653 * * * * [progress]: [ 50 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1553944501.654 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1553944501.654 * * [simplify]: iters left: 6 (15 enodes)
1553944501.658 * * [simplify]: iters left: 5 (53 enodes)
1553944501.667 * * [simplify]: iters left: 4 (70 enodes)
1553944501.680 * * [simplify]: iters left: 3 (80 enodes)
1553944501.701 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.701 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944501.701 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944501.701 * * [simplify]: Extracting #3: cost 19 inf + 0
1553944501.701 * * [simplify]: Extracting #4: cost 25 inf + 245
1553944501.701 * * [simplify]: Extracting #5: cost 27 inf + 249
1553944501.702 * * [simplify]: Extracting #6: cost 15 inf + 1542
1553944501.703 * * [simplify]: Extracting #7: cost 1 inf + 6768
1553944501.705 * * [simplify]: Extracting #8: cost 0 inf + 7343
1553944501.709 * [simplify]: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
1553944501.709 * [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)))))
1553944501.709 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944501.709 * * [simplify]: iters left: 6 (14 enodes)
1553944501.716 * * [simplify]: iters left: 5 (48 enodes)
1553944501.729 * * [simplify]: iters left: 4 (61 enodes)
1553944501.741 * * [simplify]: iters left: 3 (69 enodes)
1553944501.750 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.750 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.750 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944501.750 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944501.750 * * [simplify]: Extracting #4: cost 22 inf + 42
1553944501.750 * * [simplify]: Extracting #5: cost 20 inf + 291
1553944501.750 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553944501.751 * * [simplify]: Extracting #7: cost 1 inf + 3398
1553944501.751 * * [simplify]: Extracting #8: cost 0 inf + 3973
1553944501.752 * [simplify]: Simplified to (/ (cbrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944501.752 * [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)))))
1553944501.752 * * * * [progress]: [ 51 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1553944501.752 * [simplify]: Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
1553944501.752 * * [simplify]: iters left: 6 (14 enodes)
1553944501.756 * * [simplify]: iters left: 5 (50 enodes)
1553944501.773 * * [simplify]: iters left: 4 (73 enodes)
1553944501.792 * * [simplify]: iters left: 3 (81 enodes)
1553944501.813 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.813 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944501.813 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944501.813 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944501.813 * * [simplify]: Extracting #4: cost 21 inf + 1
1553944501.813 * * [simplify]: Extracting #5: cost 24 inf + 5
1553944501.814 * * [simplify]: Extracting #6: cost 12 inf + 1046
1553944501.815 * * [simplify]: Extracting #7: cost 2 inf + 3571
1553944501.816 * * [simplify]: Extracting #8: cost 0 inf + 4562
1553944501.817 * [simplify]: Simplified to (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))
1553944501.817 * [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))))
1553944501.818 * [simplify]: Simplifying (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553944501.818 * * [simplify]: iters left: 6 (13 enodes)
1553944501.825 * * [simplify]: iters left: 5 (45 enodes)
1553944501.839 * * [simplify]: iters left: 4 (58 enodes)
1553944501.857 * * [simplify]: iters left: 3 (65 enodes)
1553944501.873 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.873 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.873 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944501.873 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944501.873 * * [simplify]: Extracting #4: cost 20 inf + 42
1553944501.874 * * [simplify]: Extracting #5: cost 18 inf + 253
1553944501.874 * * [simplify]: Extracting #6: cost 8 inf + 1169
1553944501.874 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553944501.875 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553944501.875 * [simplify]: Simplified to (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553944501.875 * [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))))
1553944501.875 * * * * [progress]: [ 52 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1553944501.876 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.876 * * [simplify]: iters left: 6 (15 enodes)
1553944501.879 * * [simplify]: iters left: 5 (53 enodes)
1553944501.887 * * [simplify]: iters left: 4 (68 enodes)
1553944501.896 * * [simplify]: iters left: 3 (75 enodes)
1553944501.911 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.911 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944501.911 * * [simplify]: Extracting #2: cost 12 inf + 0
1553944501.911 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944501.911 * * [simplify]: Extracting #4: cost 26 inf + 42
1553944501.912 * * [simplify]: Extracting #5: cost 24 inf + 530
1553944501.912 * * [simplify]: Extracting #6: cost 11 inf + 1944
1553944501.913 * * [simplify]: Extracting #7: cost 0 inf + 5525
1553944501.915 * [simplify]: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944501.915 * [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)))))
1553944501.915 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553944501.915 * * [simplify]: iters left: 6 (14 enodes)
1553944501.922 * * [simplify]: iters left: 5 (48 enodes)
1553944501.937 * * [simplify]: iters left: 4 (61 enodes)
1553944501.954 * * [simplify]: iters left: 3 (69 enodes)
1553944501.969 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944501.969 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944501.969 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944501.969 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944501.969 * * [simplify]: Extracting #4: cost 22 inf + 42
1553944501.969 * * [simplify]: Extracting #5: cost 20 inf + 371
1553944501.969 * * [simplify]: Extracting #6: cost 7 inf + 1535
1553944501.970 * * [simplify]: Extracting #7: cost 1 inf + 3398
1553944501.970 * * [simplify]: Extracting #8: cost 0 inf + 3973
1553944501.971 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1553944501.971 * [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)))))
1553944501.971 * * * * [progress]: [ 53 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1553944501.971 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944501.971 * * [simplify]: iters left: 6 (14 enodes)
1553944501.975 * * [simplify]: iters left: 5 (48 enodes)
1553944501.982 * * [simplify]: iters left: 4 (61 enodes)
1553944501.991 * * [simplify]: iters left: 3 (69 enodes)
1553944502.000 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.001 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.001 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944502.001 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944502.001 * * [simplify]: Extracting #4: cost 22 inf + 42
1553944502.001 * * [simplify]: Extracting #5: cost 20 inf + 291
1553944502.001 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553944502.002 * * [simplify]: Extracting #7: cost 1 inf + 3278
1553944502.002 * * [simplify]: Extracting #8: cost 0 inf + 3813
1553944502.003 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944502.003 * [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)))))
1553944502.003 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944502.003 * * [simplify]: iters left: 6 (14 enodes)
1553944502.008 * * [simplify]: iters left: 5 (48 enodes)
1553944502.021 * * [simplify]: iters left: 4 (61 enodes)
1553944502.039 * * [simplify]: iters left: 3 (69 enodes)
1553944502.057 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.057 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.057 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944502.057 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944502.058 * * [simplify]: Extracting #4: cost 22 inf + 42
1553944502.058 * * [simplify]: Extracting #5: cost 20 inf + 291
1553944502.058 * * [simplify]: Extracting #6: cost 7 inf + 1455
1553944502.059 * * [simplify]: Extracting #7: cost 1 inf + 3278
1553944502.060 * * [simplify]: Extracting #8: cost 0 inf + 3813
1553944502.062 * [simplify]: Simplified to (/ (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1553944502.062 * [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)))))
1553944502.062 * * * * [progress]: [ 54 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1553944502.062 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
1553944502.062 * * [simplify]: iters left: 6 (13 enodes)
1553944502.069 * * [simplify]: iters left: 5 (45 enodes)
1553944502.085 * * [simplify]: iters left: 4 (60 enodes)
1553944502.102 * * [simplify]: iters left: 3 (67 enodes)
1553944502.119 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.119 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.120 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944502.120 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944502.120 * * [simplify]: Extracting #4: cost 19 inf + 47
1553944502.120 * * [simplify]: Extracting #5: cost 4 inf + 1254
1553944502.121 * * [simplify]: Extracting #6: cost 1 inf + 2085
1553944502.122 * * [simplify]: Extracting #7: cost 0 inf + 2500
1553944502.123 * [simplify]: Simplified to (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))
1553944502.123 * [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))))
1553944502.123 * [simplify]: Simplifying (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553944502.123 * * [simplify]: iters left: 6 (13 enodes)
1553944502.130 * * [simplify]: iters left: 5 (45 enodes)
1553944502.144 * * [simplify]: iters left: 4 (58 enodes)
1553944502.160 * * [simplify]: iters left: 3 (65 enodes)
1553944502.178 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.178 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.178 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944502.178 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944502.178 * * [simplify]: Extracting #4: cost 20 inf + 42
1553944502.178 * * [simplify]: Extracting #5: cost 18 inf + 253
1553944502.179 * * [simplify]: Extracting #6: cost 8 inf + 1169
1553944502.180 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553944502.181 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553944502.182 * [simplify]: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
1553944502.182 * [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))))
1553944502.182 * * * * [progress]: [ 55 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1553944502.182 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944502.182 * * [simplify]: iters left: 6 (6 enodes)
1553944502.186 * * [simplify]: iters left: 5 (22 enodes)
1553944502.194 * * [simplify]: iters left: 4 (26 enodes)
1553944502.201 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.201 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944502.201 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944502.201 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944502.201 * * [simplify]: Extracting #4: cost 8 inf + 84
1553944502.202 * * [simplify]: Extracting #5: cost 2 inf + 1013
1553944502.202 * * [simplify]: Extracting #6: cost 0 inf + 1376
1553944502.202 * [simplify]: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1553944502.203 * [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)))))
1553944502.203 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553944502.203 * * [simplify]: iters left: 6 (13 enodes)
1553944502.209 * * [simplify]: iters left: 5 (45 enodes)
1553944502.222 * * [simplify]: iters left: 4 (58 enodes)
1553944502.240 * * [simplify]: iters left: 3 (65 enodes)
1553944502.257 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.257 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.257 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944502.257 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944502.257 * * [simplify]: Extracting #4: cost 18 inf + 333
1553944502.258 * * [simplify]: Extracting #5: cost 6 inf + 1411
1553944502.258 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553944502.259 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553944502.260 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1553944502.260 * [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)))))
1553944502.260 * * * * [progress]: [ 56 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1553944502.261 * [simplify]: Simplifying (/ 1 (sqrt (sqrt k)))
1553944502.261 * * [simplify]: iters left: 4 (5 enodes)
1553944502.264 * * [simplify]: iters left: 3 (17 enodes)
1553944502.269 * * [simplify]: iters left: 2 (19 enodes)
1553944502.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.274 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.274 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944502.274 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944502.274 * * [simplify]: Extracting #4: cost 0 inf + 490
1553944502.274 * [simplify]: Simplified to (/ 1 (sqrt (sqrt k)))
1553944502.274 * [simplify]: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1553944502.275 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944502.275 * * [simplify]: iters left: 6 (13 enodes)
1553944502.278 * * [simplify]: iters left: 5 (45 enodes)
1553944502.284 * * [simplify]: iters left: 4 (58 enodes)
1553944502.292 * * [simplify]: iters left: 3 (65 enodes)
1553944502.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.300 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.300 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944502.300 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944502.300 * * [simplify]: Extracting #4: cost 18 inf + 293
1553944502.301 * * [simplify]: Extracting #5: cost 6 inf + 1331
1553944502.301 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553944502.302 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553944502.302 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1553944502.302 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1553944502.302 * * * * [progress]: [ 57 / 80 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1553944502.302 * [simplify]: Simplifying (/ 1 1)
1553944502.302 * * [simplify]: iters left: 2 (2 enodes)
1553944502.303 * * [simplify]: iters left: 1 (6 enodes)
1553944502.304 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.304 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944502.304 * [simplify]: Simplified to 1
1553944502.304 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1553944502.305 * [simplify]: Simplifying (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553944502.305 * * [simplify]: iters left: 6 (12 enodes)
1553944502.308 * * [simplify]: iters left: 5 (42 enodes)
1553944502.320 * * [simplify]: iters left: 4 (55 enodes)
1553944502.336 * * [simplify]: iters left: 3 (62 enodes)
1553944502.352 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.353 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.353 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944502.353 * * [simplify]: Extracting #3: cost 18 inf + 42
1553944502.353 * * [simplify]: Extracting #4: cost 18 inf + 129
1553944502.353 * * [simplify]: Extracting #5: cost 6 inf + 1502
1553944502.353 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553944502.354 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553944502.354 * [simplify]: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1553944502.354 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
1553944502.354 * * * * [progress]: [ 58 / 80 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
1553944502.354 * * * * [progress]: [ 59 / 80 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1553944502.354 * * * * [progress]: [ 60 / 80 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944502.354 * * * * [progress]: [ 61 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1553944502.355 * [simplify]: Simplifying (cbrt (sqrt k))
1553944502.355 * * [simplify]: iters left: 2 (3 enodes)
1553944502.355 * * [simplify]: iters left: 1 (9 enodes)
1553944502.357 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.358 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944502.358 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944502.358 * * [simplify]: Extracting #3: cost 4 inf + 1
1553944502.358 * * [simplify]: Extracting #4: cost 0 inf + 325
1553944502.358 * [simplify]: Simplified to (cbrt (sqrt k))
1553944502.358 * [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))))
1553944502.358 * * * * [progress]: [ 62 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1553944502.358 * [simplify]: Simplifying (sqrt (sqrt k))
1553944502.358 * * [simplify]: iters left: 2 (3 enodes)
1553944502.359 * * [simplify]: iters left: 1 (9 enodes)
1553944502.360 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.360 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944502.360 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944502.360 * * [simplify]: Extracting #3: cost 4 inf + 1
1553944502.360 * * [simplify]: Extracting #4: cost 0 inf + 245
1553944502.360 * [simplify]: Simplified to (sqrt (sqrt k))
1553944502.360 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1553944502.360 * * * * [progress]: [ 63 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1553944502.360 * [simplify]: Simplifying (sqrt k)
1553944502.360 * * [simplify]: iters left: 1 (2 enodes)
1553944502.360 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.361 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944502.361 * * [simplify]: Extracting #2: cost 2 inf + 1
1553944502.361 * * [simplify]: Extracting #3: cost 0 inf + 83
1553944502.361 * [simplify]: Simplified to (sqrt k)
1553944502.361 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))
1553944502.361 * * * * [progress]: [ 64 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944502.361 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553944502.361 * * [simplify]: iters left: 5 (7 enodes)
1553944502.363 * * [simplify]: iters left: 4 (26 enodes)
1553944502.367 * * [simplify]: iters left: 3 (34 enodes)
1553944502.372 * * [simplify]: iters left: 2 (39 enodes)
1553944502.376 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.377 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.377 * * [simplify]: Extracting #2: cost 10 inf + 1
1553944502.377 * * [simplify]: Extracting #3: cost 9 inf + 46
1553944502.377 * * [simplify]: Extracting #4: cost 1 inf + 626
1553944502.377 * * [simplify]: Extracting #5: cost 0 inf + 668
1553944502.377 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553944502.377 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1553944502.377 * * * * [progress]: [ 65 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944502.378 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553944502.378 * * [simplify]: iters left: 5 (7 enodes)
1553944502.380 * * [simplify]: iters left: 4 (26 enodes)
1553944502.383 * * [simplify]: iters left: 3 (34 enodes)
1553944502.392 * * [simplify]: iters left: 2 (39 enodes)
1553944502.402 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.402 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.402 * * [simplify]: Extracting #2: cost 10 inf + 1
1553944502.402 * * [simplify]: Extracting #3: cost 9 inf + 46
1553944502.402 * * [simplify]: Extracting #4: cost 1 inf + 626
1553944502.403 * * [simplify]: Extracting #5: cost 0 inf + 668
1553944502.403 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553944502.403 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))
1553944502.403 * * * * [progress]: [ 66 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1553944502.404 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553944502.404 * * [simplify]: iters left: 5 (8 enodes)
1553944502.408 * * [simplify]: iters left: 4 (27 enodes)
1553944502.417 * * [simplify]: iters left: 3 (32 enodes)
1553944502.427 * * [simplify]: iters left: 2 (34 enodes)
1553944502.436 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.436 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.436 * * [simplify]: Extracting #2: cost 11 inf + 0
1553944502.436 * * [simplify]: Extracting #3: cost 12 inf + 3
1553944502.436 * * [simplify]: Extracting #4: cost 8 inf + 171
1553944502.437 * * [simplify]: Extracting #5: cost 1 inf + 918
1553944502.437 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553944502.438 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944502.438 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))
1553944502.438 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944502.438 * [simplify]: Simplifying (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944502.438 * * [simplify]: iters left: 6 (12 enodes)
1553944502.445 * * [simplify]: iters left: 5 (42 enodes)
1553944502.458 * * [simplify]: iters left: 4 (55 enodes)
1553944502.475 * * [simplify]: iters left: 3 (62 enodes)
1553944502.493 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.493 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944502.493 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944502.493 * * [simplify]: Extracting #3: cost 8 inf + 0
1553944502.493 * * [simplify]: Extracting #4: cost 19 inf + 0
1553944502.494 * * [simplify]: Extracting #5: cost 22 inf + 4
1553944502.494 * * [simplify]: Extracting #6: cost 10 inf + 1256
1553944502.495 * * [simplify]: Extracting #7: cost 1 inf + 3074
1553944502.496 * * [simplify]: Extracting #8: cost 0 inf + 3569
1553944502.496 * [simplify]: Simplified to (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944502.496 * [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)))))))
1553944502.497 * * * * [progress]: [ 68 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944502.497 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944502.497 * * [simplify]: iters left: 6 (11 enodes)
1553944502.503 * * [simplify]: iters left: 5 (39 enodes)
1553944502.516 * * [simplify]: iters left: 4 (52 enodes)
1553944502.530 * * [simplify]: iters left: 3 (59 enodes)
1553944502.545 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.545 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944502.545 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944502.546 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944502.546 * * [simplify]: Extracting #4: cost 19 inf + 46
1553944502.546 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553944502.547 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553944502.548 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553944502.548 * [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)))))))
1553944502.548 * * * * [progress]: [ 69 / 80 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944502.548 * * * * [progress]: [ 70 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
1553944502.548 * [simplify]: Simplifying (pow (* (* n 2) PI) 1/2)
1553944502.548 * * [simplify]: iters left: 5 (7 enodes)
1553944502.551 * * [simplify]: iters left: 4 (26 enodes)
1553944502.554 * * [simplify]: iters left: 3 (34 enodes)
1553944502.559 * * [simplify]: iters left: 2 (39 enodes)
1553944502.564 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.564 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944502.564 * * [simplify]: Extracting #2: cost 10 inf + 1
1553944502.564 * * [simplify]: Extracting #3: cost 9 inf + 46
1553944502.564 * * [simplify]: Extracting #4: cost 1 inf + 626
1553944502.565 * * [simplify]: Extracting #5: cost 0 inf + 668
1553944502.565 * [simplify]: Simplified to (sqrt (* n (* PI 2)))
1553944502.565 * [simplify]: Simplified (2 1) to (λ (k n) (/ (sqrt (* n (* PI 2))) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
1553944502.565 * * * * [progress]: [ 71 / 80 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944502.565 * * * * [progress]: [ 72 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
1553944502.565 * [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)))))
1553944502.565 * * [simplify]: iters left: 6 (37 enodes)
1553944502.576 * * [simplify]: iters left: 5 (179 enodes)
1553944502.612 * * [simplify]: iters left: 4 (458 enodes)
1553944502.838 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944502.838 * * [simplify]: Extracting #1: cost 57 inf + 0
1553944502.839 * * [simplify]: Extracting #2: cost 287 inf + 0
1553944502.842 * * [simplify]: Extracting #3: cost 485 inf + 158
1553944502.847 * * [simplify]: Extracting #4: cost 473 inf + 4949
1553944502.858 * * [simplify]: Extracting #5: cost 294 inf + 68227
1553944502.897 * * [simplify]: Extracting #6: cost 43 inf + 204764
1553944502.961 * * [simplify]: Extracting #7: cost 0 inf + 227627
1553944503.060 * * [simplify]: Extracting #8: cost 0 inf + 222950
1553944503.158 * * [simplify]: Extracting #9: cost 0 inf + 222310
1553944503.252 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1553944503.253 * [simplify]: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))) (sqrt k)))
1553944503.253 * * * * [progress]: [ 73 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1553944503.254 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553944503.254 * * [simplify]: iters left: 6 (15 enodes)
1553944503.263 * * [simplify]: iters left: 5 (63 enodes)
1553944503.277 * * [simplify]: iters left: 4 (108 enodes)
1553944503.297 * * [simplify]: iters left: 3 (260 enodes)
1553944503.431 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944503.431 * * [simplify]: Extracting #1: cost 17 inf + 0
1553944503.431 * * [simplify]: Extracting #2: cost 115 inf + 0
1553944503.433 * * [simplify]: Extracting #3: cost 221 inf + 4
1553944503.435 * * [simplify]: Extracting #4: cost 174 inf + 5827
1553944503.447 * * [simplify]: Extracting #5: cost 46 inf + 35251
1553944503.464 * * [simplify]: Extracting #6: cost 0 inf + 47711
1553944503.481 * * [simplify]: Extracting #7: cost 0 inf + 47571
1553944503.494 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1553944503.494 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))) (sqrt k)))
1553944503.494 * * * * [progress]: [ 74 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1553944503.494 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553944503.494 * * [simplify]: iters left: 6 (15 enodes)
1553944503.499 * * [simplify]: iters left: 5 (60 enodes)
1553944503.512 * * [simplify]: iters left: 4 (111 enodes)
1553944503.554 * * [simplify]: iters left: 3 (294 enodes)
1553944503.703 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944503.703 * * [simplify]: Extracting #1: cost 16 inf + 0
1553944503.704 * * [simplify]: Extracting #2: cost 142 inf + 0
1553944503.706 * * [simplify]: Extracting #3: cost 317 inf + 187
1553944503.714 * * [simplify]: Extracting #4: cost 290 inf + 2919
1553944503.722 * * [simplify]: Extracting #5: cost 105 inf + 47243
1553944503.736 * * [simplify]: Extracting #6: cost 3 inf + 79409
1553944503.753 * * [simplify]: Extracting #7: cost 0 inf + 77357
1553944503.782 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1553944503.782 * [simplify]: Simplified (2 1) to (λ (k n) (/ (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))) (sqrt k)))
1553944503.783 * * * * [progress]: [ 75 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944503.783 * [simplify]: Simplifying (* 2 (* n PI))
1553944503.783 * * [simplify]: iters left: 4 (5 enodes)
1553944503.786 * * [simplify]: iters left: 3 (19 enodes)
1553944503.792 * * [simplify]: iters left: 2 (27 enodes)
1553944503.796 * * [simplify]: iters left: 1 (32 enodes)
1553944503.800 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944503.800 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944503.800 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944503.800 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944503.800 * [simplify]: Simplified to (* (* PI n) 2)
1553944503.800 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553944503.800 * * * * [progress]: [ 76 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944503.801 * [simplify]: Simplifying (* 2 (* n PI))
1553944503.801 * * [simplify]: iters left: 4 (5 enodes)
1553944503.802 * * [simplify]: iters left: 3 (19 enodes)
1553944503.805 * * [simplify]: iters left: 2 (27 enodes)
1553944503.809 * * [simplify]: iters left: 1 (32 enodes)
1553944503.815 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944503.815 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944503.815 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944503.815 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944503.815 * [simplify]: Simplified to (* (* PI n) 2)
1553944503.815 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553944503.815 * * * * [progress]: [ 77 / 80 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1553944503.816 * [simplify]: Simplifying (* 2 (* n PI))
1553944503.816 * * [simplify]: iters left: 4 (5 enodes)
1553944503.817 * * [simplify]: iters left: 3 (19 enodes)
1553944503.820 * * [simplify]: iters left: 2 (27 enodes)
1553944503.828 * * [simplify]: iters left: 1 (32 enodes)
1553944503.835 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944503.835 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944503.835 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944503.836 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944503.836 * [simplify]: Simplified to (* (* PI n) 2)
1553944503.836 * [simplify]: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1553944503.836 * * * * [progress]: [ 78 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
1553944503.836 * [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))))))))))))))))))))))
1553944503.836 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944503.837 * * * * [progress]: [ 79 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
1553944503.837 * [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))))))))
1553944503.837 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944503.838 * * * * [progress]: [ 80 / 80 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
1553944503.838 * [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)))))))))))
1553944503.838 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944503.838 * * * [progress]: adding candidates to table
1553944504.667 * * [progress]: iteration 2 / 4
1553944504.667 * * * [progress]: picking best candidate
1553944504.711 * * * * [pick]: Picked  #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944504.711 * * * [progress]: localizing error
1553944504.722 * * * [progress]: generating rewritten candidates
1553944504.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553944504.725 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553944504.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
1553944504.733 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1553944504.738 * * * [progress]: generating series expansions
1553944504.738 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553944504.738 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553944504.738 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553944504.738 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944504.738 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944504.738 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944504.738 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944504.738 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.738 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.738 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944504.739 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.739 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.739 * [taylor]: Taking taylor expansion of k in k
1553944504.739 * [backup-simplify]: Simplify 0 into 0
1553944504.739 * [backup-simplify]: Simplify 1 into 1
1553944504.739 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944504.739 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944504.739 * [taylor]: Taking taylor expansion of 2 in k
1553944504.739 * [backup-simplify]: Simplify 2 into 2
1553944504.739 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944504.739 * [taylor]: Taking taylor expansion of n in k
1553944504.739 * [backup-simplify]: Simplify n into n
1553944504.739 * [taylor]: Taking taylor expansion of PI in k
1553944504.739 * [backup-simplify]: Simplify PI into PI
1553944504.739 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944504.739 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944504.739 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944504.739 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944504.740 * [backup-simplify]: Simplify (- 0) into 0
1553944504.740 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.740 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944504.740 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944504.740 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944504.740 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944504.740 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944504.740 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944504.740 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.740 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.740 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944504.740 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.740 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.740 * [taylor]: Taking taylor expansion of k in n
1553944504.740 * [backup-simplify]: Simplify k into k
1553944504.740 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944504.740 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944504.740 * [taylor]: Taking taylor expansion of 2 in n
1553944504.740 * [backup-simplify]: Simplify 2 into 2
1553944504.740 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.740 * [taylor]: Taking taylor expansion of n in n
1553944504.740 * [backup-simplify]: Simplify 0 into 0
1553944504.740 * [backup-simplify]: Simplify 1 into 1
1553944504.740 * [taylor]: Taking taylor expansion of PI in n
1553944504.740 * [backup-simplify]: Simplify PI into PI
1553944504.741 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944504.741 * [backup-simplify]: Simplify (* 2 0) into 0
1553944504.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944504.743 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944504.744 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.744 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944504.744 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944504.744 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944504.745 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.745 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944504.746 * [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)))))
1553944504.746 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944504.746 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944504.746 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944504.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944504.746 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.746 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.746 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944504.746 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.746 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.746 * [taylor]: Taking taylor expansion of k in n
1553944504.746 * [backup-simplify]: Simplify k into k
1553944504.746 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944504.746 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944504.746 * [taylor]: Taking taylor expansion of 2 in n
1553944504.746 * [backup-simplify]: Simplify 2 into 2
1553944504.746 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.746 * [taylor]: Taking taylor expansion of n in n
1553944504.746 * [backup-simplify]: Simplify 0 into 0
1553944504.746 * [backup-simplify]: Simplify 1 into 1
1553944504.746 * [taylor]: Taking taylor expansion of PI in n
1553944504.746 * [backup-simplify]: Simplify PI into PI
1553944504.747 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944504.747 * [backup-simplify]: Simplify (* 2 0) into 0
1553944504.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944504.749 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944504.750 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.750 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944504.750 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944504.750 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944504.751 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.752 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944504.754 * [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)))))
1553944504.754 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944504.754 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944504.754 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944504.754 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.754 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.754 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944504.754 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.754 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.754 * [taylor]: Taking taylor expansion of k in k
1553944504.754 * [backup-simplify]: Simplify 0 into 0
1553944504.754 * [backup-simplify]: Simplify 1 into 1
1553944504.754 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944504.754 * [taylor]: Taking taylor expansion of (log n) in k
1553944504.754 * [taylor]: Taking taylor expansion of n in k
1553944504.754 * [backup-simplify]: Simplify n into n
1553944504.754 * [backup-simplify]: Simplify (log n) into (log n)
1553944504.754 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944504.754 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944504.754 * [taylor]: Taking taylor expansion of 2 in k
1553944504.754 * [backup-simplify]: Simplify 2 into 2
1553944504.754 * [taylor]: Taking taylor expansion of PI in k
1553944504.754 * [backup-simplify]: Simplify PI into PI
1553944504.755 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.756 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.756 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944504.757 * [backup-simplify]: Simplify (- 0) into 0
1553944504.757 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.758 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.759 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944504.760 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944504.761 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944504.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944504.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944504.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944504.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944504.764 * [backup-simplify]: Simplify (- 0) into 0
1553944504.764 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.766 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944504.767 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944504.767 * [taylor]: Taking taylor expansion of 0 in k
1553944504.767 * [backup-simplify]: Simplify 0 into 0
1553944504.767 * [backup-simplify]: Simplify 0 into 0
1553944504.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944504.768 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944504.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944504.769 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.770 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944504.770 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944504.770 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944504.771 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944504.773 * [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)))))))
1553944504.775 * [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)))))))
1553944504.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944504.778 * [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
1553944504.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944504.779 * [backup-simplify]: Simplify (- 0) into 0
1553944504.779 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.783 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.784 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944504.785 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944504.785 * [taylor]: Taking taylor expansion of 0 in k
1553944504.785 * [backup-simplify]: Simplify 0 into 0
1553944504.785 * [backup-simplify]: Simplify 0 into 0
1553944504.785 * [backup-simplify]: Simplify 0 into 0
1553944504.786 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944504.787 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944504.789 * [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
1553944504.789 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944504.790 * [backup-simplify]: Simplify (- 0) into 0
1553944504.790 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944504.794 * [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)))))
1553944504.798 * [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)))))
1553944504.808 * [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)))))
1553944504.808 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553944504.808 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553944504.808 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944504.808 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944504.808 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944504.808 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944504.808 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.808 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.808 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944504.808 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.808 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944504.808 * [taylor]: Taking taylor expansion of k in k
1553944504.808 * [backup-simplify]: Simplify 0 into 0
1553944504.808 * [backup-simplify]: Simplify 1 into 1
1553944504.809 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944504.809 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944504.809 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944504.809 * [taylor]: Taking taylor expansion of 2 in k
1553944504.809 * [backup-simplify]: Simplify 2 into 2
1553944504.809 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944504.809 * [taylor]: Taking taylor expansion of PI in k
1553944504.809 * [backup-simplify]: Simplify PI into PI
1553944504.809 * [taylor]: Taking taylor expansion of n in k
1553944504.809 * [backup-simplify]: Simplify n into n
1553944504.809 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944504.809 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944504.809 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944504.810 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944504.810 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944504.810 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944504.811 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944504.811 * [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))))
1553944504.811 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944504.811 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944504.811 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944504.811 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944504.811 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.811 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944504.811 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.811 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944504.811 * [taylor]: Taking taylor expansion of k in n
1553944504.811 * [backup-simplify]: Simplify k into k
1553944504.811 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944504.811 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944504.811 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944504.811 * [taylor]: Taking taylor expansion of 2 in n
1553944504.811 * [backup-simplify]: Simplify 2 into 2
1553944504.811 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.811 * [taylor]: Taking taylor expansion of PI in n
1553944504.811 * [backup-simplify]: Simplify PI into PI
1553944504.811 * [taylor]: Taking taylor expansion of n in n
1553944504.811 * [backup-simplify]: Simplify 0 into 0
1553944504.811 * [backup-simplify]: Simplify 1 into 1
1553944504.812 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.812 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.813 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.813 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944504.813 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944504.814 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944504.815 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944504.816 * [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)))
1553944504.818 * [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))))
1553944504.818 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944504.818 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944504.818 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944504.818 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944504.818 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.818 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944504.818 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.818 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944504.818 * [taylor]: Taking taylor expansion of k in n
1553944504.818 * [backup-simplify]: Simplify k into k
1553944504.818 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944504.818 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944504.818 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944504.818 * [taylor]: Taking taylor expansion of 2 in n
1553944504.818 * [backup-simplify]: Simplify 2 into 2
1553944504.818 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.818 * [taylor]: Taking taylor expansion of PI in n
1553944504.818 * [backup-simplify]: Simplify PI into PI
1553944504.818 * [taylor]: Taking taylor expansion of n in n
1553944504.818 * [backup-simplify]: Simplify 0 into 0
1553944504.818 * [backup-simplify]: Simplify 1 into 1
1553944504.819 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.819 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.821 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.821 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944504.821 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944504.821 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944504.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944504.824 * [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)))
1553944504.825 * [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))))
1553944504.825 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944504.825 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944504.825 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944504.825 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.825 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944504.825 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.825 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944504.825 * [taylor]: Taking taylor expansion of k in k
1553944504.825 * [backup-simplify]: Simplify 0 into 0
1553944504.825 * [backup-simplify]: Simplify 1 into 1
1553944504.825 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944504.825 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944504.826 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944504.826 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944504.826 * [taylor]: Taking taylor expansion of 2 in k
1553944504.826 * [backup-simplify]: Simplify 2 into 2
1553944504.826 * [taylor]: Taking taylor expansion of PI in k
1553944504.826 * [backup-simplify]: Simplify PI into PI
1553944504.826 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.826 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.826 * [taylor]: Taking taylor expansion of (log n) in k
1553944504.826 * [taylor]: Taking taylor expansion of n in k
1553944504.827 * [backup-simplify]: Simplify n into n
1553944504.827 * [backup-simplify]: Simplify (log n) into (log n)
1553944504.827 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944504.827 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944504.827 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944504.827 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944504.828 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944504.829 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944504.829 * [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))))
1553944504.830 * [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))))
1553944504.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944504.831 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944504.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944504.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944504.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944504.833 * [backup-simplify]: Simplify (- 0) into 0
1553944504.833 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.834 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944504.834 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944504.835 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944504.835 * [taylor]: Taking taylor expansion of 0 in k
1553944504.835 * [backup-simplify]: Simplify 0 into 0
1553944504.835 * [backup-simplify]: Simplify 0 into 0
1553944504.836 * [backup-simplify]: Simplify 0 into 0
1553944504.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.837 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944504.838 * [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
1553944504.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944504.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944504.839 * [backup-simplify]: Simplify (- 0) into 0
1553944504.840 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.840 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944504.841 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944504.843 * [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
1553944504.843 * [taylor]: Taking taylor expansion of 0 in k
1553944504.843 * [backup-simplify]: Simplify 0 into 0
1553944504.843 * [backup-simplify]: Simplify 0 into 0
1553944504.843 * [backup-simplify]: Simplify 0 into 0
1553944504.843 * [backup-simplify]: Simplify 0 into 0
1553944504.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.847 * [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
1553944504.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944504.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944504.848 * [backup-simplify]: Simplify (- 0) into 0
1553944504.848 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.849 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944504.850 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944504.852 * [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
1553944504.852 * [taylor]: Taking taylor expansion of 0 in k
1553944504.852 * [backup-simplify]: Simplify 0 into 0
1553944504.852 * [backup-simplify]: Simplify 0 into 0
1553944504.853 * [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)))))
1553944504.853 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553944504.853 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553944504.853 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944504.853 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944504.853 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944504.853 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944504.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944504.853 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.853 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944504.853 * [taylor]: Taking taylor expansion of k in k
1553944504.853 * [backup-simplify]: Simplify 0 into 0
1553944504.853 * [backup-simplify]: Simplify 1 into 1
1553944504.854 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944504.854 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.854 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.854 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944504.854 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944504.854 * [taylor]: Taking taylor expansion of -2 in k
1553944504.854 * [backup-simplify]: Simplify -2 into -2
1553944504.854 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944504.854 * [taylor]: Taking taylor expansion of PI in k
1553944504.854 * [backup-simplify]: Simplify PI into PI
1553944504.854 * [taylor]: Taking taylor expansion of n in k
1553944504.854 * [backup-simplify]: Simplify n into n
1553944504.854 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944504.854 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944504.854 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944504.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944504.855 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.855 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944504.856 * [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)))
1553944504.856 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944504.856 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944504.856 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944504.856 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944504.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944504.856 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.856 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944504.856 * [taylor]: Taking taylor expansion of k in n
1553944504.856 * [backup-simplify]: Simplify k into k
1553944504.856 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944504.856 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.856 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.856 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944504.856 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944504.856 * [taylor]: Taking taylor expansion of -2 in n
1553944504.856 * [backup-simplify]: Simplify -2 into -2
1553944504.856 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.856 * [taylor]: Taking taylor expansion of PI in n
1553944504.856 * [backup-simplify]: Simplify PI into PI
1553944504.856 * [taylor]: Taking taylor expansion of n in n
1553944504.856 * [backup-simplify]: Simplify 0 into 0
1553944504.856 * [backup-simplify]: Simplify 1 into 1
1553944504.857 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.857 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944504.858 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944504.858 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944504.858 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944504.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944504.860 * [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)))
1553944504.861 * [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))))
1553944504.862 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944504.862 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944504.862 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944504.862 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944504.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944504.862 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.862 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944504.862 * [taylor]: Taking taylor expansion of k in n
1553944504.862 * [backup-simplify]: Simplify k into k
1553944504.862 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944504.862 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.862 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.862 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944504.862 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944504.862 * [taylor]: Taking taylor expansion of -2 in n
1553944504.862 * [backup-simplify]: Simplify -2 into -2
1553944504.862 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.862 * [taylor]: Taking taylor expansion of PI in n
1553944504.862 * [backup-simplify]: Simplify PI into PI
1553944504.862 * [taylor]: Taking taylor expansion of n in n
1553944504.862 * [backup-simplify]: Simplify 0 into 0
1553944504.862 * [backup-simplify]: Simplify 1 into 1
1553944504.863 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.863 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944504.864 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944504.864 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944504.864 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944504.866 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944504.867 * [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)))
1553944504.868 * [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))))
1553944504.868 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944504.868 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944504.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944504.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944504.868 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.868 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944504.868 * [taylor]: Taking taylor expansion of k in k
1553944504.868 * [backup-simplify]: Simplify 0 into 0
1553944504.868 * [backup-simplify]: Simplify 1 into 1
1553944504.869 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944504.869 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.869 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.869 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944504.869 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944504.869 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944504.869 * [taylor]: Taking taylor expansion of -2 in k
1553944504.869 * [backup-simplify]: Simplify -2 into -2
1553944504.869 * [taylor]: Taking taylor expansion of PI in k
1553944504.869 * [backup-simplify]: Simplify PI into PI
1553944504.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944504.870 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944504.870 * [taylor]: Taking taylor expansion of (log n) in k
1553944504.870 * [taylor]: Taking taylor expansion of n in k
1553944504.870 * [backup-simplify]: Simplify n into n
1553944504.870 * [backup-simplify]: Simplify (log n) into (log n)
1553944504.871 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944504.871 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.871 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944504.872 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944504.873 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944504.874 * [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))))
1553944504.876 * [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))))
1553944504.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944504.877 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944504.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944504.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944504.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944504.880 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.882 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944504.883 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944504.884 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944504.885 * [taylor]: Taking taylor expansion of 0 in k
1553944504.885 * [backup-simplify]: Simplify 0 into 0
1553944504.885 * [backup-simplify]: Simplify 0 into 0
1553944504.885 * [backup-simplify]: Simplify 0 into 0
1553944504.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.887 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944504.889 * [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
1553944504.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944504.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944504.890 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.891 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944504.892 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944504.895 * [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
1553944504.895 * [taylor]: Taking taylor expansion of 0 in k
1553944504.895 * [backup-simplify]: Simplify 0 into 0
1553944504.895 * [backup-simplify]: Simplify 0 into 0
1553944504.895 * [backup-simplify]: Simplify 0 into 0
1553944504.895 * [backup-simplify]: Simplify 0 into 0
1553944504.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.896 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.900 * [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
1553944504.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944504.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944504.901 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944504.902 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944504.903 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553944504.904 * [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
1553944504.904 * [taylor]: Taking taylor expansion of 0 in k
1553944504.904 * [backup-simplify]: Simplify 0 into 0
1553944504.904 * [backup-simplify]: Simplify 0 into 0
1553944504.905 * [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)))))
1553944504.905 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553944504.905 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553944504.905 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553944504.905 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944504.905 * [taylor]: Taking taylor expansion of 2 in n
1553944504.905 * [backup-simplify]: Simplify 2 into 2
1553944504.905 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.906 * [taylor]: Taking taylor expansion of n in n
1553944504.906 * [backup-simplify]: Simplify 0 into 0
1553944504.906 * [backup-simplify]: Simplify 1 into 1
1553944504.906 * [taylor]: Taking taylor expansion of PI in n
1553944504.906 * [backup-simplify]: Simplify PI into PI
1553944504.906 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944504.906 * [taylor]: Taking taylor expansion of 2 in n
1553944504.906 * [backup-simplify]: Simplify 2 into 2
1553944504.906 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.906 * [taylor]: Taking taylor expansion of n in n
1553944504.906 * [backup-simplify]: Simplify 0 into 0
1553944504.906 * [backup-simplify]: Simplify 1 into 1
1553944504.906 * [taylor]: Taking taylor expansion of PI in n
1553944504.906 * [backup-simplify]: Simplify PI into PI
1553944504.906 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944504.906 * [backup-simplify]: Simplify (* 2 0) into 0
1553944504.906 * [backup-simplify]: Simplify 0 into 0
1553944504.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944504.908 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944504.908 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944504.910 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944504.910 * [backup-simplify]: Simplify 0 into 0
1553944504.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944504.911 * [backup-simplify]: Simplify 0 into 0
1553944504.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944504.912 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553944504.912 * [backup-simplify]: Simplify 0 into 0
1553944504.913 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944504.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553944504.914 * [backup-simplify]: Simplify 0 into 0
1553944504.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944504.916 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553944504.916 * [backup-simplify]: Simplify 0 into 0
1553944504.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553944504.918 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553944504.918 * [backup-simplify]: Simplify 0 into 0
1553944504.918 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553944504.918 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553944504.918 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553944504.918 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944504.918 * [taylor]: Taking taylor expansion of 2 in n
1553944504.919 * [backup-simplify]: Simplify 2 into 2
1553944504.919 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.919 * [taylor]: Taking taylor expansion of PI in n
1553944504.919 * [backup-simplify]: Simplify PI into PI
1553944504.919 * [taylor]: Taking taylor expansion of n in n
1553944504.919 * [backup-simplify]: Simplify 0 into 0
1553944504.919 * [backup-simplify]: Simplify 1 into 1
1553944504.919 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.919 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944504.919 * [taylor]: Taking taylor expansion of 2 in n
1553944504.919 * [backup-simplify]: Simplify 2 into 2
1553944504.919 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.919 * [taylor]: Taking taylor expansion of PI in n
1553944504.919 * [backup-simplify]: Simplify PI into PI
1553944504.919 * [taylor]: Taking taylor expansion of n in n
1553944504.919 * [backup-simplify]: Simplify 0 into 0
1553944504.919 * [backup-simplify]: Simplify 1 into 1
1553944504.919 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.920 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.920 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944504.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944504.921 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944504.921 * [backup-simplify]: Simplify 0 into 0
1553944504.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944504.922 * [backup-simplify]: Simplify 0 into 0
1553944504.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.923 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.923 * [backup-simplify]: Simplify 0 into 0
1553944504.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.925 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944504.925 * [backup-simplify]: Simplify 0 into 0
1553944504.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944504.928 * [backup-simplify]: Simplify 0 into 0
1553944504.929 * [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
1553944504.931 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944504.931 * [backup-simplify]: Simplify 0 into 0
1553944504.931 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553944504.931 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553944504.931 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553944504.931 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944504.931 * [taylor]: Taking taylor expansion of -2 in n
1553944504.931 * [backup-simplify]: Simplify -2 into -2
1553944504.931 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.932 * [taylor]: Taking taylor expansion of PI in n
1553944504.932 * [backup-simplify]: Simplify PI into PI
1553944504.932 * [taylor]: Taking taylor expansion of n in n
1553944504.932 * [backup-simplify]: Simplify 0 into 0
1553944504.932 * [backup-simplify]: Simplify 1 into 1
1553944504.932 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.932 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944504.932 * [taylor]: Taking taylor expansion of -2 in n
1553944504.932 * [backup-simplify]: Simplify -2 into -2
1553944504.932 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944504.932 * [taylor]: Taking taylor expansion of PI in n
1553944504.932 * [backup-simplify]: Simplify PI into PI
1553944504.932 * [taylor]: Taking taylor expansion of n in n
1553944504.932 * [backup-simplify]: Simplify 0 into 0
1553944504.932 * [backup-simplify]: Simplify 1 into 1
1553944504.933 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944504.933 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944504.934 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944504.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944504.935 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944504.936 * [backup-simplify]: Simplify 0 into 0
1553944504.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.938 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944504.938 * [backup-simplify]: Simplify 0 into 0
1553944504.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.940 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944504.940 * [backup-simplify]: Simplify 0 into 0
1553944504.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.942 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944504.942 * [backup-simplify]: Simplify 0 into 0
1553944504.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944504.945 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944504.945 * [backup-simplify]: Simplify 0 into 0
1553944504.946 * [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
1553944504.948 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944504.948 * [backup-simplify]: Simplify 0 into 0
1553944504.948 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553944504.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
1553944504.949 * [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))
1553944504.949 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0
1553944504.949 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n
1553944504.949 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944504.949 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944504.949 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944504.949 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944504.949 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944504.949 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.949 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.949 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944504.949 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.949 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.949 * [taylor]: Taking taylor expansion of k in n
1553944504.949 * [backup-simplify]: Simplify k into k
1553944504.949 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944504.949 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944504.949 * [taylor]: Taking taylor expansion of 2 in n
1553944504.949 * [backup-simplify]: Simplify 2 into 2
1553944504.949 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.949 * [taylor]: Taking taylor expansion of n in n
1553944504.949 * [backup-simplify]: Simplify 0 into 0
1553944504.949 * [backup-simplify]: Simplify 1 into 1
1553944504.949 * [taylor]: Taking taylor expansion of PI in n
1553944504.949 * [backup-simplify]: Simplify PI into PI
1553944504.950 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944504.950 * [backup-simplify]: Simplify (* 2 0) into 0
1553944504.952 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944504.953 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944504.954 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944504.954 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944504.954 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944504.955 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944504.956 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944504.957 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944504.958 * [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)))))
1553944504.959 * [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))))))
1553944504.959 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944504.959 * [taylor]: Taking taylor expansion of k in n
1553944504.959 * [backup-simplify]: Simplify k into k
1553944504.959 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944504.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944504.960 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1553944504.960 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944504.960 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944504.960 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944504.960 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944504.960 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944504.960 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.960 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.960 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944504.960 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.960 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.960 * [taylor]: Taking taylor expansion of k in k
1553944504.960 * [backup-simplify]: Simplify 0 into 0
1553944504.960 * [backup-simplify]: Simplify 1 into 1
1553944504.960 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944504.960 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944504.960 * [taylor]: Taking taylor expansion of 2 in k
1553944504.960 * [backup-simplify]: Simplify 2 into 2
1553944504.960 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944504.960 * [taylor]: Taking taylor expansion of n in k
1553944504.960 * [backup-simplify]: Simplify n into n
1553944504.960 * [taylor]: Taking taylor expansion of PI in k
1553944504.960 * [backup-simplify]: Simplify PI into PI
1553944504.960 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944504.960 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944504.960 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944504.961 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944504.961 * [backup-simplify]: Simplify (- 0) into 0
1553944504.962 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.962 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944504.962 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944504.962 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553944504.962 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944504.962 * [taylor]: Taking taylor expansion of k in k
1553944504.962 * [backup-simplify]: Simplify 0 into 0
1553944504.962 * [backup-simplify]: Simplify 1 into 1
1553944504.963 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944504.964 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944504.964 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k
1553944504.964 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944504.964 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944504.964 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944504.964 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944504.964 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944504.964 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.964 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.964 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944504.964 * [taylor]: Taking taylor expansion of 1/2 in k
1553944504.964 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.965 * [taylor]: Taking taylor expansion of k in k
1553944504.965 * [backup-simplify]: Simplify 0 into 0
1553944504.965 * [backup-simplify]: Simplify 1 into 1
1553944504.965 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944504.965 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944504.965 * [taylor]: Taking taylor expansion of 2 in k
1553944504.965 * [backup-simplify]: Simplify 2 into 2
1553944504.965 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944504.965 * [taylor]: Taking taylor expansion of n in k
1553944504.965 * [backup-simplify]: Simplify n into n
1553944504.965 * [taylor]: Taking taylor expansion of PI in k
1553944504.965 * [backup-simplify]: Simplify PI into PI
1553944504.965 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944504.965 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944504.965 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944504.966 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944504.966 * [backup-simplify]: Simplify (- 0) into 0
1553944504.966 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944504.966 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944504.967 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944504.967 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553944504.967 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944504.967 * [taylor]: Taking taylor expansion of k in k
1553944504.967 * [backup-simplify]: Simplify 0 into 0
1553944504.967 * [backup-simplify]: Simplify 1 into 1
1553944504.967 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944504.969 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944504.969 * [backup-simplify]: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0
1553944504.969 * [taylor]: Taking taylor expansion of 0 in n
1553944504.969 * [backup-simplify]: Simplify 0 into 0
1553944504.969 * [backup-simplify]: Simplify 0 into 0
1553944504.969 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553944504.970 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553944504.971 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553944504.972 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944504.972 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944504.973 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944504.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553944504.974 * [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)))))
1553944504.975 * [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)))))
1553944504.976 * [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))))
1553944504.976 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1553944504.977 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1553944504.977 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944504.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944504.977 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1553944504.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553944504.977 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553944504.977 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944504.977 * [taylor]: Taking taylor expansion of n in n
1553944504.977 * [backup-simplify]: Simplify 0 into 0
1553944504.977 * [backup-simplify]: Simplify 1 into 1
1553944504.977 * [taylor]: Taking taylor expansion of PI in n
1553944504.977 * [backup-simplify]: Simplify PI into PI
1553944504.977 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944504.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944504.979 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553944504.980 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944504.982 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553944504.982 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553944504.982 * [taylor]: Taking taylor expansion of 1/2 in n
1553944504.982 * [backup-simplify]: Simplify 1/2 into 1/2
1553944504.982 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553944504.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553944504.987 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944504.987 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1553944504.993 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944504.996 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944504.999 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944504.999 * [backup-simplify]: Simplify 0 into 0
1553944505.002 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.003 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553944505.004 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553944505.005 * [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
1553944505.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944505.007 * [backup-simplify]: Simplify (- 0) into 0
1553944505.007 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553944505.009 * [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)))
1553944505.012 * [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))))))
1553944505.020 * [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))))))
1553944505.020 * [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
1553944505.020 * [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
1553944505.020 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n
1553944505.020 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.020 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.020 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n
1553944505.020 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n
1553944505.020 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.020 * [taylor]: Taking taylor expansion of 2 in n
1553944505.020 * [backup-simplify]: Simplify 2 into 2
1553944505.021 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.022 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n
1553944505.022 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944505.022 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944505.022 * [taylor]: Taking taylor expansion of 2 in n
1553944505.022 * [backup-simplify]: Simplify 2 into 2
1553944505.022 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.022 * [taylor]: Taking taylor expansion of n in n
1553944505.022 * [backup-simplify]: Simplify 0 into 0
1553944505.022 * [backup-simplify]: Simplify 1 into 1
1553944505.022 * [taylor]: Taking taylor expansion of PI in n
1553944505.022 * [backup-simplify]: Simplify PI into PI
1553944505.022 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.023 * [backup-simplify]: Simplify (* 2 0) into 0
1553944505.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.026 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944505.027 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.027 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in n
1553944505.027 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553944505.027 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.027 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.027 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553944505.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553944505.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553944505.028 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553944505.028 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.028 * [taylor]: Taking taylor expansion of n in n
1553944505.028 * [backup-simplify]: Simplify 0 into 0
1553944505.028 * [backup-simplify]: Simplify 1 into 1
1553944505.028 * [taylor]: Taking taylor expansion of PI in n
1553944505.028 * [backup-simplify]: Simplify PI into PI
1553944505.029 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.030 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.031 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553944505.031 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.033 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553944505.033 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n
1553944505.033 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n
1553944505.033 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.033 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.033 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n
1553944505.033 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n
1553944505.033 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n
1553944505.033 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.033 * [taylor]: Taking taylor expansion of n in n
1553944505.033 * [backup-simplify]: Simplify 0 into 0
1553944505.033 * [backup-simplify]: Simplify 1 into 1
1553944505.033 * [taylor]: Taking taylor expansion of PI in n
1553944505.033 * [backup-simplify]: Simplify PI into PI
1553944505.034 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.035 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.036 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI)
1553944505.036 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.038 * [backup-simplify]: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI)
1553944505.038 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
1553944505.038 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.038 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.039 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
1553944505.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
1553944505.041 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.042 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2)
1553944505.044 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))
1553944505.046 * [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)))))
1553944505.048 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.049 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0
1553944505.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944505.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944505.053 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944505.054 * [backup-simplify]: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0
1553944505.057 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0
1553944505.060 * [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)))))
1553944505.063 * [backup-simplify]: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0
1553944505.075 * [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)))))
1553944505.078 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944505.079 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0
1553944505.084 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944505.088 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI)))
1553944505.102 * [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)))))))
1553944505.115 * [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)))))))
1553944505.125 * [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)))))))
1553944505.126 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
1553944505.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944505.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0
1553944505.130 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2))
1553944505.133 * [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))))
1553944505.140 * [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))))
1553944505.145 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1553944505.148 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))
1553944505.164 * [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)))))))))))
1553944505.164 * [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)))
1553944505.164 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0
1553944505.164 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.164 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.164 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.164 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.164 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.164 * [taylor]: Taking taylor expansion of k in n
1553944505.164 * [backup-simplify]: Simplify k into k
1553944505.164 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.164 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.164 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.165 * [taylor]: Taking taylor expansion of 2 in n
1553944505.165 * [backup-simplify]: Simplify 2 into 2
1553944505.165 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.165 * [taylor]: Taking taylor expansion of PI in n
1553944505.165 * [backup-simplify]: Simplify PI into PI
1553944505.165 * [taylor]: Taking taylor expansion of n in n
1553944505.165 * [backup-simplify]: Simplify 0 into 0
1553944505.165 * [backup-simplify]: Simplify 1 into 1
1553944505.165 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.165 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.166 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.166 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.166 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.166 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.167 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.167 * [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)))
1553944505.168 * [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))))
1553944505.169 * [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)))))
1553944505.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944505.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.169 * [taylor]: Taking taylor expansion of k in n
1553944505.169 * [backup-simplify]: Simplify k into k
1553944505.169 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.169 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944505.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944505.169 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1553944505.169 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944505.169 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944505.169 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944505.169 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944505.169 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944505.169 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.169 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.169 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.169 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.169 * [taylor]: Taking taylor expansion of k in k
1553944505.169 * [backup-simplify]: Simplify 0 into 0
1553944505.169 * [backup-simplify]: Simplify 1 into 1
1553944505.170 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.170 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944505.170 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944505.170 * [taylor]: Taking taylor expansion of 2 in k
1553944505.170 * [backup-simplify]: Simplify 2 into 2
1553944505.170 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.170 * [taylor]: Taking taylor expansion of PI in k
1553944505.170 * [backup-simplify]: Simplify PI into PI
1553944505.170 * [taylor]: Taking taylor expansion of n in k
1553944505.170 * [backup-simplify]: Simplify n into n
1553944505.170 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.170 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944505.170 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944505.170 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.170 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944505.171 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944505.171 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944505.171 * [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))))
1553944505.171 * [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)))))
1553944505.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944505.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.171 * [taylor]: Taking taylor expansion of k in k
1553944505.171 * [backup-simplify]: Simplify 0 into 0
1553944505.171 * [backup-simplify]: Simplify 1 into 1
1553944505.171 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.172 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.172 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.172 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944505.173 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.173 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.173 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.173 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.173 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.173 * [taylor]: Taking taylor expansion of k in k
1553944505.173 * [backup-simplify]: Simplify 0 into 0
1553944505.173 * [backup-simplify]: Simplify 1 into 1
1553944505.173 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.173 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944505.173 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944505.173 * [taylor]: Taking taylor expansion of 2 in k
1553944505.173 * [backup-simplify]: Simplify 2 into 2
1553944505.173 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.173 * [taylor]: Taking taylor expansion of PI in k
1553944505.173 * [backup-simplify]: Simplify PI into PI
1553944505.173 * [taylor]: Taking taylor expansion of n in k
1553944505.173 * [backup-simplify]: Simplify n into n
1553944505.173 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.173 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944505.173 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944505.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.174 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944505.174 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944505.174 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944505.174 * [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))))
1553944505.174 * [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)))))
1553944505.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944505.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.174 * [taylor]: Taking taylor expansion of k in k
1553944505.174 * [backup-simplify]: Simplify 0 into 0
1553944505.174 * [backup-simplify]: Simplify 1 into 1
1553944505.175 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.175 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.176 * [backup-simplify]: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0
1553944505.176 * [taylor]: Taking taylor expansion of 0 in n
1553944505.176 * [backup-simplify]: Simplify 0 into 0
1553944505.176 * [backup-simplify]: Simplify 0 into 0
1553944505.176 * [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
1553944505.177 * [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)))))))
1553944505.177 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.177 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.177 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.177 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.177 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.177 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.177 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.177 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.177 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.177 * [taylor]: Taking taylor expansion of k in n
1553944505.177 * [backup-simplify]: Simplify k into k
1553944505.177 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.177 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.177 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.177 * [taylor]: Taking taylor expansion of 2 in n
1553944505.177 * [backup-simplify]: Simplify 2 into 2
1553944505.177 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.177 * [taylor]: Taking taylor expansion of PI in n
1553944505.177 * [backup-simplify]: Simplify PI into PI
1553944505.177 * [taylor]: Taking taylor expansion of n in n
1553944505.177 * [backup-simplify]: Simplify 0 into 0
1553944505.177 * [backup-simplify]: Simplify 1 into 1
1553944505.178 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.178 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.179 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.179 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.179 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.181 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.182 * [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)))
1553944505.183 * [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))))
1553944505.184 * [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)))))
1553944505.185 * [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)))))
1553944505.187 * [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)))))))
1553944505.188 * [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)))))))
1553944505.188 * [backup-simplify]: Simplify 0 into 0
1553944505.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944505.192 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.192 * [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
1553944505.193 * [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)))))))
1553944505.193 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553944505.193 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.193 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.193 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.193 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.193 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.193 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.193 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.193 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.193 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.193 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.194 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.194 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.194 * [taylor]: Taking taylor expansion of k in n
1553944505.194 * [backup-simplify]: Simplify k into k
1553944505.194 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.194 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.194 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.194 * [taylor]: Taking taylor expansion of 2 in n
1553944505.194 * [backup-simplify]: Simplify 2 into 2
1553944505.194 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.194 * [taylor]: Taking taylor expansion of PI in n
1553944505.194 * [backup-simplify]: Simplify PI into PI
1553944505.194 * [taylor]: Taking taylor expansion of n in n
1553944505.194 * [backup-simplify]: Simplify 0 into 0
1553944505.194 * [backup-simplify]: Simplify 1 into 1
1553944505.194 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.195 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.196 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.196 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.196 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.196 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.198 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.199 * [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)))
1553944505.200 * [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))))
1553944505.201 * [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)))))
1553944505.202 * [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)))))
1553944505.203 * [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)))))))
1553944505.204 * [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)))))))
1553944505.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944505.206 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944505.208 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944505.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944505.209 * [backup-simplify]: Simplify (- 0) into 0
1553944505.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.211 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.212 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944505.214 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944505.216 * [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
1553944505.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1553944505.218 * [backup-simplify]: Simplify (- 0) into 0
1553944505.218 * [backup-simplify]: Simplify 0 into 0
1553944505.218 * [backup-simplify]: Simplify 0 into 0
1553944505.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944505.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944505.224 * [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
1553944505.225 * [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)))))))
1553944505.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.225 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.225 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.225 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.225 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.225 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.225 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.225 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.225 * [taylor]: Taking taylor expansion of k in n
1553944505.225 * [backup-simplify]: Simplify k into k
1553944505.225 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.225 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.225 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.225 * [taylor]: Taking taylor expansion of 2 in n
1553944505.225 * [backup-simplify]: Simplify 2 into 2
1553944505.225 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.225 * [taylor]: Taking taylor expansion of PI in n
1553944505.225 * [backup-simplify]: Simplify PI into PI
1553944505.225 * [taylor]: Taking taylor expansion of n in n
1553944505.225 * [backup-simplify]: Simplify 0 into 0
1553944505.225 * [backup-simplify]: Simplify 1 into 1
1553944505.226 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.226 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.227 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.227 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.227 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.227 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.228 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.228 * [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)))
1553944505.229 * [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))))
1553944505.230 * [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)))))
1553944505.230 * [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)))))
1553944505.231 * [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)))))))
1553944505.232 * [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)))))))
1553944505.234 * [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))))))))))))
1553944505.235 * [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)))
1553944505.235 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1553944505.235 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553944505.235 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553944505.235 * [taylor]: Taking taylor expansion of -1 in n
1553944505.235 * [backup-simplify]: Simplify -1 into -1
1553944505.235 * [taylor]: Taking taylor expansion of k in n
1553944505.235 * [backup-simplify]: Simplify k into k
1553944505.235 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553944505.235 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553944505.235 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553944505.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553944505.235 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.235 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944505.235 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944505.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.235 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.235 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.235 * [taylor]: Taking taylor expansion of k in n
1553944505.235 * [backup-simplify]: Simplify k into k
1553944505.235 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.235 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.235 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.235 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.235 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.235 * [taylor]: Taking taylor expansion of -2 in n
1553944505.235 * [backup-simplify]: Simplify -2 into -2
1553944505.235 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.235 * [taylor]: Taking taylor expansion of PI in n
1553944505.235 * [backup-simplify]: Simplify PI into PI
1553944505.235 * [taylor]: Taking taylor expansion of n in n
1553944505.235 * [backup-simplify]: Simplify 0 into 0
1553944505.235 * [backup-simplify]: Simplify 1 into 1
1553944505.236 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.236 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.236 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.237 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.237 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.237 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.238 * [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)))
1553944505.239 * [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))))
1553944505.240 * [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)))))
1553944505.240 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553944505.240 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944505.240 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944505.240 * [taylor]: Taking taylor expansion of -1 in k
1553944505.240 * [backup-simplify]: Simplify -1 into -1
1553944505.240 * [taylor]: Taking taylor expansion of k in k
1553944505.240 * [backup-simplify]: Simplify 0 into 0
1553944505.240 * [backup-simplify]: Simplify 1 into 1
1553944505.240 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944505.240 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.241 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944505.241 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944505.241 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944505.241 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944505.241 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944505.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.241 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.241 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.241 * [taylor]: Taking taylor expansion of k in k
1553944505.241 * [backup-simplify]: Simplify 0 into 0
1553944505.241 * [backup-simplify]: Simplify 1 into 1
1553944505.241 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.241 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.241 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.241 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944505.242 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944505.242 * [taylor]: Taking taylor expansion of -2 in k
1553944505.242 * [backup-simplify]: Simplify -2 into -2
1553944505.242 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.242 * [taylor]: Taking taylor expansion of PI in k
1553944505.242 * [backup-simplify]: Simplify PI into PI
1553944505.242 * [taylor]: Taking taylor expansion of n in k
1553944505.242 * [backup-simplify]: Simplify n into n
1553944505.242 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.242 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944505.242 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944505.242 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.242 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.242 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944505.242 * [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)))
1553944505.243 * [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))))
1553944505.243 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553944505.243 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944505.243 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944505.243 * [taylor]: Taking taylor expansion of -1 in k
1553944505.243 * [backup-simplify]: Simplify -1 into -1
1553944505.243 * [taylor]: Taking taylor expansion of k in k
1553944505.243 * [backup-simplify]: Simplify 0 into 0
1553944505.243 * [backup-simplify]: Simplify 1 into 1
1553944505.243 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944505.243 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.246 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944505.246 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944505.246 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944505.246 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944505.246 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944505.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.246 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.246 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.246 * [taylor]: Taking taylor expansion of k in k
1553944505.246 * [backup-simplify]: Simplify 0 into 0
1553944505.246 * [backup-simplify]: Simplify 1 into 1
1553944505.247 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.247 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.247 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.247 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944505.247 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944505.247 * [taylor]: Taking taylor expansion of -2 in k
1553944505.247 * [backup-simplify]: Simplify -2 into -2
1553944505.247 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.247 * [taylor]: Taking taylor expansion of PI in k
1553944505.247 * [backup-simplify]: Simplify PI into PI
1553944505.247 * [taylor]: Taking taylor expansion of n in k
1553944505.247 * [backup-simplify]: Simplify n into n
1553944505.247 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.247 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944505.247 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944505.247 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.248 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.248 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944505.248 * [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)))
1553944505.248 * [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))))
1553944505.248 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.248 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.248 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.248 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.248 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.248 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.248 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.248 * [taylor]: Taking taylor expansion of -2 in n
1553944505.248 * [backup-simplify]: Simplify -2 into -2
1553944505.248 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.248 * [taylor]: Taking taylor expansion of PI in n
1553944505.248 * [backup-simplify]: Simplify PI into PI
1553944505.248 * [taylor]: Taking taylor expansion of n in n
1553944505.248 * [backup-simplify]: Simplify 0 into 0
1553944505.248 * [backup-simplify]: Simplify 1 into 1
1553944505.249 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.249 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.250 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.250 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.250 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.250 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.250 * [taylor]: Taking taylor expansion of k in n
1553944505.250 * [backup-simplify]: Simplify k into k
1553944505.250 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.250 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.250 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.251 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.251 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.251 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.252 * [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)))
1553944505.253 * [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))))
1553944505.253 * [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)))))
1553944505.254 * [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)))))
1553944505.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553944505.257 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.257 * [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))))))
1553944505.257 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1553944505.257 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944505.257 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.257 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.257 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.257 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.257 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.257 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.257 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.257 * [taylor]: Taking taylor expansion of -2 in n
1553944505.257 * [backup-simplify]: Simplify -2 into -2
1553944505.257 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.257 * [taylor]: Taking taylor expansion of PI in n
1553944505.257 * [backup-simplify]: Simplify PI into PI
1553944505.257 * [taylor]: Taking taylor expansion of n in n
1553944505.257 * [backup-simplify]: Simplify 0 into 0
1553944505.257 * [backup-simplify]: Simplify 1 into 1
1553944505.258 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.258 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.259 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.259 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.259 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.259 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.259 * [taylor]: Taking taylor expansion of k in n
1553944505.259 * [backup-simplify]: Simplify k into k
1553944505.259 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.259 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.259 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.260 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.260 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.260 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.260 * [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)))
1553944505.261 * [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))))
1553944505.262 * [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)))))
1553944505.263 * [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)))))
1553944505.264 * [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)))))))
1553944505.265 * [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)))))))
1553944505.265 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944505.266 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944505.267 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944505.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944505.269 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553944505.271 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944505.275 * [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
1553944505.275 * [backup-simplify]: Simplify 0 into 0
1553944505.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944505.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944505.281 * [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))))))
1553944505.281 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n
1553944505.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944505.281 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.281 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.281 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.281 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.281 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.281 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.281 * [taylor]: Taking taylor expansion of -2 in n
1553944505.281 * [backup-simplify]: Simplify -2 into -2
1553944505.281 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.281 * [taylor]: Taking taylor expansion of PI in n
1553944505.281 * [backup-simplify]: Simplify PI into PI
1553944505.282 * [taylor]: Taking taylor expansion of n in n
1553944505.282 * [backup-simplify]: Simplify 0 into 0
1553944505.282 * [backup-simplify]: Simplify 1 into 1
1553944505.282 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.283 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.283 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.284 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.284 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.284 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.284 * [taylor]: Taking taylor expansion of k in n
1553944505.284 * [backup-simplify]: Simplify k into k
1553944505.284 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.284 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.284 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.285 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.285 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.285 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.286 * [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)))
1553944505.288 * [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))))
1553944505.289 * [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)))))
1553944505.290 * [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)))))
1553944505.291 * [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)))))))
1553944505.292 * [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)))))))
1553944505.296 * [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))))))))))))
1553944505.296 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1553944505.297 * [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))))
1553944505.297 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0
1553944505.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944505.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944505.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.297 * [taylor]: Taking taylor expansion of k in n
1553944505.297 * [backup-simplify]: Simplify k into k
1553944505.297 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.297 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944505.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944505.297 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944505.297 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944505.297 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944505.297 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944505.297 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.297 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.297 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944505.298 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.298 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.298 * [taylor]: Taking taylor expansion of k in n
1553944505.298 * [backup-simplify]: Simplify k into k
1553944505.298 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944505.298 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944505.298 * [taylor]: Taking taylor expansion of 2 in n
1553944505.298 * [backup-simplify]: Simplify 2 into 2
1553944505.298 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.298 * [taylor]: Taking taylor expansion of n in n
1553944505.298 * [backup-simplify]: Simplify 0 into 0
1553944505.298 * [backup-simplify]: Simplify 1 into 1
1553944505.298 * [taylor]: Taking taylor expansion of PI in n
1553944505.298 * [backup-simplify]: Simplify PI into PI
1553944505.298 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.299 * [backup-simplify]: Simplify (* 2 0) into 0
1553944505.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.302 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944505.303 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.303 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944505.303 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944505.303 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944505.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.306 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944505.307 * [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)))))
1553944505.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944505.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944505.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.307 * [taylor]: Taking taylor expansion of k in k
1553944505.307 * [backup-simplify]: Simplify 0 into 0
1553944505.307 * [backup-simplify]: Simplify 1 into 1
1553944505.308 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.308 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.309 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944505.310 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944505.310 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944505.310 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944505.310 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.310 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.310 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944505.310 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.310 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.310 * [taylor]: Taking taylor expansion of k in k
1553944505.310 * [backup-simplify]: Simplify 0 into 0
1553944505.310 * [backup-simplify]: Simplify 1 into 1
1553944505.310 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944505.310 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944505.310 * [taylor]: Taking taylor expansion of 2 in k
1553944505.310 * [backup-simplify]: Simplify 2 into 2
1553944505.310 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944505.310 * [taylor]: Taking taylor expansion of n in k
1553944505.310 * [backup-simplify]: Simplify n into n
1553944505.310 * [taylor]: Taking taylor expansion of PI in k
1553944505.310 * [backup-simplify]: Simplify PI into PI
1553944505.310 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944505.310 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944505.310 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944505.311 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944505.311 * [backup-simplify]: Simplify (- 0) into 0
1553944505.312 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.312 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944505.312 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944505.312 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944505.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944505.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.312 * [taylor]: Taking taylor expansion of k in k
1553944505.312 * [backup-simplify]: Simplify 0 into 0
1553944505.312 * [backup-simplify]: Simplify 1 into 1
1553944505.312 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.313 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.314 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944505.314 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944505.314 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944505.314 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944505.314 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.314 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.314 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944505.314 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.314 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.314 * [taylor]: Taking taylor expansion of k in k
1553944505.314 * [backup-simplify]: Simplify 0 into 0
1553944505.314 * [backup-simplify]: Simplify 1 into 1
1553944505.314 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944505.314 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944505.314 * [taylor]: Taking taylor expansion of 2 in k
1553944505.314 * [backup-simplify]: Simplify 2 into 2
1553944505.314 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944505.314 * [taylor]: Taking taylor expansion of n in k
1553944505.315 * [backup-simplify]: Simplify n into n
1553944505.315 * [taylor]: Taking taylor expansion of PI in k
1553944505.315 * [backup-simplify]: Simplify PI into PI
1553944505.315 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944505.315 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944505.315 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944505.315 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944505.316 * [backup-simplify]: Simplify (- 0) into 0
1553944505.316 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.316 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944505.316 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944505.316 * [backup-simplify]: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0
1553944505.316 * [taylor]: Taking taylor expansion of 0 in n
1553944505.317 * [backup-simplify]: Simplify 0 into 0
1553944505.317 * [backup-simplify]: Simplify 0 into 0
1553944505.317 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553944505.317 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553944505.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553944505.318 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944505.319 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944505.319 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944505.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553944505.319 * [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)))))
1553944505.320 * [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)))))
1553944505.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944505.320 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944505.320 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.320 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.320 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944505.320 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.320 * [taylor]: Taking taylor expansion of 2 in n
1553944505.320 * [backup-simplify]: Simplify 2 into 2
1553944505.320 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.320 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.320 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.320 * [taylor]: Taking taylor expansion of n in n
1553944505.320 * [backup-simplify]: Simplify 0 into 0
1553944505.320 * [backup-simplify]: Simplify 1 into 1
1553944505.320 * [taylor]: Taking taylor expansion of PI in n
1553944505.321 * [backup-simplify]: Simplify PI into PI
1553944505.321 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.322 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.323 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.323 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944505.323 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.324 * [backup-simplify]: Simplify (- 0) into 0
1553944505.324 * [backup-simplify]: Simplify 0 into 0
1553944505.324 * [backup-simplify]: Simplify 0 into 0
1553944505.324 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553944505.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553944505.326 * [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
1553944505.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944505.326 * [backup-simplify]: Simplify (- 0) into 0
1553944505.327 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553944505.328 * [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)))
1553944505.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944505.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.330 * [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)))))))
1553944505.331 * [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
1553944505.331 * [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
1553944505.331 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944505.331 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.331 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.331 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944505.331 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944505.331 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.331 * [taylor]: Taking taylor expansion of 2 in n
1553944505.331 * [backup-simplify]: Simplify 2 into 2
1553944505.331 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.331 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944505.331 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944505.331 * [taylor]: Taking taylor expansion of 2 in n
1553944505.331 * [backup-simplify]: Simplify 2 into 2
1553944505.331 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.331 * [taylor]: Taking taylor expansion of n in n
1553944505.331 * [backup-simplify]: Simplify 0 into 0
1553944505.331 * [backup-simplify]: Simplify 1 into 1
1553944505.331 * [taylor]: Taking taylor expansion of PI in n
1553944505.331 * [backup-simplify]: Simplify PI into PI
1553944505.332 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.332 * [backup-simplify]: Simplify (* 2 0) into 0
1553944505.333 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.334 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944505.335 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.335 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.335 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.335 * [taylor]: Taking taylor expansion of n in n
1553944505.335 * [backup-simplify]: Simplify 0 into 0
1553944505.335 * [backup-simplify]: Simplify 1 into 1
1553944505.335 * [taylor]: Taking taylor expansion of PI in n
1553944505.335 * [backup-simplify]: Simplify PI into PI
1553944505.335 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.336 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.337 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.337 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944505.337 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944505.337 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.337 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.337 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944505.337 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.337 * [taylor]: Taking taylor expansion of 2 in n
1553944505.337 * [backup-simplify]: Simplify 2 into 2
1553944505.337 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.338 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.338 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.338 * [taylor]: Taking taylor expansion of n in n
1553944505.338 * [backup-simplify]: Simplify 0 into 0
1553944505.338 * [backup-simplify]: Simplify 1 into 1
1553944505.338 * [taylor]: Taking taylor expansion of PI in n
1553944505.338 * [backup-simplify]: Simplify PI into PI
1553944505.338 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.339 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.340 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.342 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944505.343 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944505.343 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.343 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944505.343 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.344 * [backup-simplify]: Simplify (- 0) into 0
1553944505.344 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.344 * [backup-simplify]: Simplify (- 0) into 0
1553944505.344 * [backup-simplify]: Simplify 0 into 0
1553944505.347 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.352 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.355 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.361 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.361 * [backup-simplify]: Simplify 0 into 0
1553944505.362 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944505.363 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553944505.366 * [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
1553944505.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553944505.367 * [backup-simplify]: Simplify (- 0) into 0
1553944505.368 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553944505.371 * [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)))
1553944505.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944505.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944505.378 * [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)))))))))
1553944505.378 * [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
1553944505.378 * [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
1553944505.378 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944505.378 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.378 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.378 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944505.378 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944505.378 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.378 * [taylor]: Taking taylor expansion of 2 in n
1553944505.378 * [backup-simplify]: Simplify 2 into 2
1553944505.379 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.379 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944505.379 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944505.379 * [taylor]: Taking taylor expansion of 2 in n
1553944505.379 * [backup-simplify]: Simplify 2 into 2
1553944505.379 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.379 * [taylor]: Taking taylor expansion of n in n
1553944505.379 * [backup-simplify]: Simplify 0 into 0
1553944505.379 * [backup-simplify]: Simplify 1 into 1
1553944505.379 * [taylor]: Taking taylor expansion of PI in n
1553944505.379 * [backup-simplify]: Simplify PI into PI
1553944505.380 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.380 * [backup-simplify]: Simplify (* 2 0) into 0
1553944505.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.382 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944505.383 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.383 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.383 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.383 * [taylor]: Taking taylor expansion of n in n
1553944505.383 * [backup-simplify]: Simplify 0 into 0
1553944505.383 * [backup-simplify]: Simplify 1 into 1
1553944505.383 * [taylor]: Taking taylor expansion of PI in n
1553944505.383 * [backup-simplify]: Simplify PI into PI
1553944505.383 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.384 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.384 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.385 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.385 * [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
1553944505.385 * [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
1553944505.385 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553944505.385 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.385 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.385 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553944505.385 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553944505.385 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.385 * [taylor]: Taking taylor expansion of 2 in n
1553944505.385 * [backup-simplify]: Simplify 2 into 2
1553944505.386 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.386 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553944505.386 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944505.386 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944505.386 * [taylor]: Taking taylor expansion of 2 in n
1553944505.386 * [backup-simplify]: Simplify 2 into 2
1553944505.386 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.386 * [taylor]: Taking taylor expansion of n in n
1553944505.386 * [backup-simplify]: Simplify 0 into 0
1553944505.386 * [backup-simplify]: Simplify 1 into 1
1553944505.386 * [taylor]: Taking taylor expansion of PI in n
1553944505.386 * [backup-simplify]: Simplify PI into PI
1553944505.386 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.387 * [backup-simplify]: Simplify (* 2 0) into 0
1553944505.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.389 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944505.389 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.390 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.390 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.390 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.390 * [taylor]: Taking taylor expansion of n in n
1553944505.390 * [backup-simplify]: Simplify 0 into 0
1553944505.390 * [backup-simplify]: Simplify 1 into 1
1553944505.390 * [taylor]: Taking taylor expansion of PI in n
1553944505.390 * [backup-simplify]: Simplify PI into PI
1553944505.390 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.391 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.392 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.392 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944505.392 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944505.392 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.393 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944505.393 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944505.393 * [taylor]: Taking taylor expansion of 2 in n
1553944505.393 * [backup-simplify]: Simplify 2 into 2
1553944505.393 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944505.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944505.393 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944505.393 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944505.393 * [taylor]: Taking taylor expansion of n in n
1553944505.393 * [backup-simplify]: Simplify 0 into 0
1553944505.393 * [backup-simplify]: Simplify 1 into 1
1553944505.393 * [taylor]: Taking taylor expansion of PI in n
1553944505.393 * [backup-simplify]: Simplify PI into PI
1553944505.394 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944505.394 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944505.395 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.396 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944505.396 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.397 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944505.398 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944505.398 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.399 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.400 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.401 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553944505.402 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553944505.403 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553944505.403 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.403 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944505.404 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944505.404 * [backup-simplify]: Simplify (- 0) into 0
1553944505.404 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.404 * [backup-simplify]: Simplify (- 0) into 0
1553944505.405 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.405 * [backup-simplify]: Simplify (- 0) into 0
1553944505.405 * [backup-simplify]: Simplify 0 into 0
1553944505.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944505.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944505.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944505.408 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944505.409 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944505.411 * [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))))))))
1553944505.417 * [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))))))))
1553944505.420 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.425 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.429 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944505.438 * [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))))))))))
1553944505.445 * [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)))))))
1553944505.452 * [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)))))))
1553944505.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944505.458 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553944505.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553944505.464 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944505.472 * [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))))
1553944505.479 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944505.483 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944505.496 * [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)))))))))))))
1553944505.496 * [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)))))
1553944505.496 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0
1553944505.497 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.497 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944505.497 * [taylor]: Taking taylor expansion of k in n
1553944505.497 * [backup-simplify]: Simplify k into k
1553944505.497 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944505.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944505.497 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.497 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.497 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.497 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.497 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.497 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.497 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.497 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.497 * [taylor]: Taking taylor expansion of k in n
1553944505.497 * [backup-simplify]: Simplify k into k
1553944505.497 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.497 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.497 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.497 * [taylor]: Taking taylor expansion of 2 in n
1553944505.497 * [backup-simplify]: Simplify 2 into 2
1553944505.497 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.497 * [taylor]: Taking taylor expansion of PI in n
1553944505.497 * [backup-simplify]: Simplify PI into PI
1553944505.497 * [taylor]: Taking taylor expansion of n in n
1553944505.497 * [backup-simplify]: Simplify 0 into 0
1553944505.497 * [backup-simplify]: Simplify 1 into 1
1553944505.498 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.499 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.500 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.500 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.500 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.500 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.502 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.503 * [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)))
1553944505.504 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1553944505.504 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944505.504 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944505.504 * [taylor]: Taking taylor expansion of k in k
1553944505.504 * [backup-simplify]: Simplify 0 into 0
1553944505.504 * [backup-simplify]: Simplify 1 into 1
1553944505.505 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.507 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944505.507 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944505.507 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944505.507 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944505.507 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.507 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.507 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.507 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.507 * [taylor]: Taking taylor expansion of k in k
1553944505.507 * [backup-simplify]: Simplify 0 into 0
1553944505.507 * [backup-simplify]: Simplify 1 into 1
1553944505.508 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.508 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944505.508 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944505.508 * [taylor]: Taking taylor expansion of 2 in k
1553944505.508 * [backup-simplify]: Simplify 2 into 2
1553944505.508 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.508 * [taylor]: Taking taylor expansion of PI in k
1553944505.508 * [backup-simplify]: Simplify PI into PI
1553944505.508 * [taylor]: Taking taylor expansion of n in k
1553944505.508 * [backup-simplify]: Simplify n into n
1553944505.508 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.508 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944505.508 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944505.509 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.509 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944505.510 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944505.510 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944505.510 * [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))))
1553944505.510 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944505.510 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944505.510 * [taylor]: Taking taylor expansion of k in k
1553944505.510 * [backup-simplify]: Simplify 0 into 0
1553944505.510 * [backup-simplify]: Simplify 1 into 1
1553944505.510 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944505.512 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944505.512 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944505.512 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944505.512 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944505.512 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.512 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.512 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.512 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.512 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.512 * [taylor]: Taking taylor expansion of k in k
1553944505.512 * [backup-simplify]: Simplify 0 into 0
1553944505.512 * [backup-simplify]: Simplify 1 into 1
1553944505.513 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.513 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944505.513 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944505.513 * [taylor]: Taking taylor expansion of 2 in k
1553944505.513 * [backup-simplify]: Simplify 2 into 2
1553944505.513 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.513 * [taylor]: Taking taylor expansion of PI in k
1553944505.513 * [backup-simplify]: Simplify PI into PI
1553944505.513 * [taylor]: Taking taylor expansion of n in k
1553944505.513 * [backup-simplify]: Simplify n into n
1553944505.513 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.513 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944505.513 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944505.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.514 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944505.515 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944505.515 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944505.515 * [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))))
1553944505.515 * [backup-simplify]: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0
1553944505.515 * [taylor]: Taking taylor expansion of 0 in n
1553944505.515 * [backup-simplify]: Simplify 0 into 0
1553944505.515 * [backup-simplify]: Simplify 0 into 0
1553944505.516 * [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))))))
1553944505.516 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.516 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.516 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.516 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.516 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.516 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.516 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.516 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.516 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.516 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.516 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.516 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.516 * [taylor]: Taking taylor expansion of k in n
1553944505.517 * [backup-simplify]: Simplify k into k
1553944505.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.517 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.517 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.517 * [taylor]: Taking taylor expansion of 2 in n
1553944505.517 * [backup-simplify]: Simplify 2 into 2
1553944505.517 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.517 * [taylor]: Taking taylor expansion of PI in n
1553944505.517 * [backup-simplify]: Simplify PI into PI
1553944505.517 * [taylor]: Taking taylor expansion of n in n
1553944505.517 * [backup-simplify]: Simplify 0 into 0
1553944505.517 * [backup-simplify]: Simplify 1 into 1
1553944505.518 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.518 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.520 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.520 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.520 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.520 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.521 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.522 * [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)))
1553944505.523 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1553944505.525 * [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)))))
1553944505.526 * [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))))))
1553944505.527 * [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))))))
1553944505.527 * [backup-simplify]: Simplify 0 into 0
1553944505.530 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.531 * [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))))))
1553944505.531 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.531 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.531 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.531 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.531 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.531 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.531 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.531 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.531 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.531 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.531 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.531 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.532 * [taylor]: Taking taylor expansion of k in n
1553944505.532 * [backup-simplify]: Simplify k into k
1553944505.532 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.532 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.532 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.532 * [taylor]: Taking taylor expansion of 2 in n
1553944505.532 * [backup-simplify]: Simplify 2 into 2
1553944505.532 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.532 * [taylor]: Taking taylor expansion of PI in n
1553944505.532 * [backup-simplify]: Simplify PI into PI
1553944505.532 * [taylor]: Taking taylor expansion of n in n
1553944505.532 * [backup-simplify]: Simplify 0 into 0
1553944505.532 * [backup-simplify]: Simplify 1 into 1
1553944505.532 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.533 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.534 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.534 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.534 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.534 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.537 * [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)))
1553944505.538 * [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))))
1553944505.539 * [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)))))
1553944505.540 * [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))))))
1553944505.541 * [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))))))
1553944505.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944505.543 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944505.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944505.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944505.546 * [backup-simplify]: Simplify (- 0) into 0
1553944505.547 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.549 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944505.551 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944505.553 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553944505.553 * [backup-simplify]: Simplify (- 0) into 0
1553944505.554 * [backup-simplify]: Simplify 0 into 0
1553944505.554 * [backup-simplify]: Simplify 0 into 0
1553944505.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944505.559 * [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))))))
1553944505.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944505.559 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944505.559 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.559 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.559 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944505.559 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944505.560 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944505.560 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944505.560 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.560 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.560 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.560 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.560 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.560 * [taylor]: Taking taylor expansion of k in n
1553944505.560 * [backup-simplify]: Simplify k into k
1553944505.560 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.560 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944505.560 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944505.560 * [taylor]: Taking taylor expansion of 2 in n
1553944505.560 * [backup-simplify]: Simplify 2 into 2
1553944505.560 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.560 * [taylor]: Taking taylor expansion of PI in n
1553944505.560 * [backup-simplify]: Simplify PI into PI
1553944505.560 * [taylor]: Taking taylor expansion of n in n
1553944505.560 * [backup-simplify]: Simplify 0 into 0
1553944505.560 * [backup-simplify]: Simplify 1 into 1
1553944505.561 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.561 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944505.562 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944505.562 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.562 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944505.562 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944505.564 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944505.565 * [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)))
1553944505.565 * [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))))
1553944505.566 * [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)))))
1553944505.567 * [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))))))
1553944505.568 * [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))))))
1553944505.570 * [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))))))))
1553944505.570 * [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)))
1553944505.570 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1553944505.570 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553944505.570 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.570 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944505.570 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944505.570 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.570 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.570 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.570 * [taylor]: Taking taylor expansion of k in n
1553944505.570 * [backup-simplify]: Simplify k into k
1553944505.570 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.571 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.571 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.571 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.571 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.571 * [taylor]: Taking taylor expansion of -2 in n
1553944505.571 * [backup-simplify]: Simplify -2 into -2
1553944505.571 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.571 * [taylor]: Taking taylor expansion of PI in n
1553944505.571 * [backup-simplify]: Simplify PI into PI
1553944505.571 * [taylor]: Taking taylor expansion of n in n
1553944505.571 * [backup-simplify]: Simplify 0 into 0
1553944505.571 * [backup-simplify]: Simplify 1 into 1
1553944505.571 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.571 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.572 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.572 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.572 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.573 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.573 * [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)))
1553944505.574 * [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))))
1553944505.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553944505.574 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553944505.574 * [taylor]: Taking taylor expansion of -1 in n
1553944505.574 * [backup-simplify]: Simplify -1 into -1
1553944505.574 * [taylor]: Taking taylor expansion of k in n
1553944505.574 * [backup-simplify]: Simplify k into k
1553944505.574 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553944505.574 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553944505.574 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553944505.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553944505.575 * [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)))
1553944505.575 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553944505.575 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944505.575 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944505.575 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944505.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944505.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.575 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.575 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.575 * [taylor]: Taking taylor expansion of k in k
1553944505.575 * [backup-simplify]: Simplify 0 into 0
1553944505.575 * [backup-simplify]: Simplify 1 into 1
1553944505.576 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.576 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.576 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.576 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944505.576 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944505.576 * [taylor]: Taking taylor expansion of -2 in k
1553944505.576 * [backup-simplify]: Simplify -2 into -2
1553944505.576 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.576 * [taylor]: Taking taylor expansion of PI in k
1553944505.576 * [backup-simplify]: Simplify PI into PI
1553944505.576 * [taylor]: Taking taylor expansion of n in k
1553944505.576 * [backup-simplify]: Simplify n into n
1553944505.576 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.576 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944505.576 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944505.576 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.576 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.577 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944505.577 * [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)))
1553944505.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944505.577 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944505.577 * [taylor]: Taking taylor expansion of -1 in k
1553944505.577 * [backup-simplify]: Simplify -1 into -1
1553944505.577 * [taylor]: Taking taylor expansion of k in k
1553944505.577 * [backup-simplify]: Simplify 0 into 0
1553944505.577 * [backup-simplify]: Simplify 1 into 1
1553944505.577 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944505.577 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.578 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944505.578 * [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))))
1553944505.578 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553944505.578 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944505.578 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944505.578 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944505.578 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944505.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944505.578 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.578 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944505.578 * [taylor]: Taking taylor expansion of k in k
1553944505.578 * [backup-simplify]: Simplify 0 into 0
1553944505.578 * [backup-simplify]: Simplify 1 into 1
1553944505.579 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944505.579 * [taylor]: Taking taylor expansion of 1/2 in k
1553944505.579 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.579 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944505.579 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944505.579 * [taylor]: Taking taylor expansion of -2 in k
1553944505.579 * [backup-simplify]: Simplify -2 into -2
1553944505.579 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944505.579 * [taylor]: Taking taylor expansion of PI in k
1553944505.579 * [backup-simplify]: Simplify PI into PI
1553944505.579 * [taylor]: Taking taylor expansion of n in k
1553944505.579 * [backup-simplify]: Simplify n into n
1553944505.579 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944505.579 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944505.579 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944505.579 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944505.580 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944505.580 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944505.580 * [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)))
1553944505.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944505.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944505.580 * [taylor]: Taking taylor expansion of -1 in k
1553944505.580 * [backup-simplify]: Simplify -1 into -1
1553944505.580 * [taylor]: Taking taylor expansion of k in k
1553944505.580 * [backup-simplify]: Simplify 0 into 0
1553944505.580 * [backup-simplify]: Simplify 1 into 1
1553944505.580 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944505.581 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944505.581 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944505.582 * [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))))
1553944505.582 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.582 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.582 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.582 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.582 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.582 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.582 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.582 * [taylor]: Taking taylor expansion of -2 in n
1553944505.582 * [backup-simplify]: Simplify -2 into -2
1553944505.582 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.582 * [taylor]: Taking taylor expansion of PI in n
1553944505.582 * [backup-simplify]: Simplify PI into PI
1553944505.582 * [taylor]: Taking taylor expansion of n in n
1553944505.582 * [backup-simplify]: Simplify 0 into 0
1553944505.582 * [backup-simplify]: Simplify 1 into 1
1553944505.582 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.582 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.583 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.583 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.583 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.583 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.583 * [taylor]: Taking taylor expansion of k in n
1553944505.583 * [backup-simplify]: Simplify k into k
1553944505.583 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.583 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.583 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.584 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.584 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.585 * [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)))
1553944505.585 * [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))))
1553944505.586 * [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)))))
1553944505.587 * [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)))))
1553944505.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553944505.589 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944505.590 * [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)))))
1553944505.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944505.590 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.590 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.590 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.590 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.590 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.590 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.590 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.590 * [taylor]: Taking taylor expansion of -2 in n
1553944505.590 * [backup-simplify]: Simplify -2 into -2
1553944505.590 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.590 * [taylor]: Taking taylor expansion of PI in n
1553944505.590 * [backup-simplify]: Simplify PI into PI
1553944505.590 * [taylor]: Taking taylor expansion of n in n
1553944505.590 * [backup-simplify]: Simplify 0 into 0
1553944505.590 * [backup-simplify]: Simplify 1 into 1
1553944505.591 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.591 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.591 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.591 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.591 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.591 * [taylor]: Taking taylor expansion of k in n
1553944505.591 * [backup-simplify]: Simplify k into k
1553944505.592 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.592 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.592 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.593 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.593 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.594 * [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)))
1553944505.595 * [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))))
1553944505.596 * [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)))))
1553944505.597 * [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))))))
1553944505.598 * [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))))))
1553944505.600 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944505.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944505.601 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944505.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944505.602 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944505.604 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944505.607 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553944505.610 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944505.611 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553944505.611 * [backup-simplify]: Simplify 0 into 0
1553944505.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944505.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944505.618 * [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)))))
1553944505.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944505.619 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944505.619 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944505.619 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944505.619 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944505.619 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944505.619 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944505.619 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944505.619 * [taylor]: Taking taylor expansion of -2 in n
1553944505.619 * [backup-simplify]: Simplify -2 into -2
1553944505.619 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944505.619 * [taylor]: Taking taylor expansion of PI in n
1553944505.619 * [backup-simplify]: Simplify PI into PI
1553944505.619 * [taylor]: Taking taylor expansion of n in n
1553944505.619 * [backup-simplify]: Simplify 0 into 0
1553944505.619 * [backup-simplify]: Simplify 1 into 1
1553944505.620 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944505.620 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944505.621 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944505.621 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944505.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944505.621 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.621 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944505.621 * [taylor]: Taking taylor expansion of k in n
1553944505.621 * [backup-simplify]: Simplify k into k
1553944505.621 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944505.621 * [taylor]: Taking taylor expansion of 1/2 in n
1553944505.621 * [backup-simplify]: Simplify 1/2 into 1/2
1553944505.623 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944505.623 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944505.623 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944505.624 * [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)))
1553944505.625 * [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))))
1553944505.627 * [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)))))
1553944505.628 * [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))))))
1553944505.629 * [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))))))
1553944505.634 * [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)))))))))))
1553944505.634 * * * [progress]: simplifying candidates
1553944505.634 * * * * [progress]: [ 1 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944505.634 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553944505.634 * * [simplify]: iters left: 6 (11 enodes)
1553944505.641 * * [simplify]: iters left: 5 (43 enodes)
1553944505.652 * * [simplify]: iters left: 4 (79 enodes)
1553944505.666 * * [simplify]: iters left: 3 (174 enodes)
1553944505.712 * * [simplify]: iters left: 2 (469 enodes)
1553944506.030 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.030 * * [simplify]: Extracting #1: cost 84 inf + 0
1553944506.032 * * [simplify]: Extracting #2: cost 306 inf + 0
1553944506.034 * * [simplify]: Extracting #3: cost 323 inf + 700
1553944506.037 * * [simplify]: Extracting #4: cost 264 inf + 10482
1553944506.049 * * [simplify]: Extracting #5: cost 52 inf + 75582
1553944506.069 * * [simplify]: Extracting #6: cost 0 inf + 94795
1553944506.114 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553944506.114 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553944506.114 * * * * [progress]: [ 2 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944506.114 * * * * [progress]: [ 3 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553944506.114 * [simplify]: Simplifying (* (* n 2) PI)
1553944506.114 * * [simplify]: iters left: 4 (5 enodes)
1553944506.117 * * [simplify]: iters left: 3 (19 enodes)
1553944506.123 * * [simplify]: iters left: 2 (27 enodes)
1553944506.131 * * [simplify]: iters left: 1 (32 enodes)
1553944506.139 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.139 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944506.139 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944506.140 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944506.140 * [simplify]: Simplified to (* (* n 2) PI)
1553944506.140 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553944506.140 * * * * [progress]: [ 4 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553944506.140 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944506.141 * * [simplify]: iters left: 5 (8 enodes)
1553944506.145 * * [simplify]: iters left: 4 (28 enodes)
1553944506.153 * * [simplify]: iters left: 3 (36 enodes)
1553944506.163 * * [simplify]: iters left: 2 (41 enodes)
1553944506.171 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.171 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944506.171 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944506.171 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944506.172 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944506.172 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944506.172 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944506.172 * [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))))))
1553944506.172 * * * * [progress]: [ 5 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))>
1553944506.172 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553944506.172 * * [simplify]: iters left: 5 (6 enodes)
1553944506.174 * * [simplify]: iters left: 4 (20 enodes)
1553944506.177 * * [simplify]: iters left: 3 (25 enodes)
1553944506.181 * * [simplify]: iters left: 2 (27 enodes)
1553944506.185 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.185 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944506.185 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944506.185 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944506.185 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944506.185 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944506.185 * * [simplify]: Extracting #6: cost 1 inf + 662
1553944506.185 * * [simplify]: Extracting #7: cost 0 inf + 825
1553944506.185 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553944506.186 * [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)))))))
1553944506.186 * * * * [progress]: [ 6 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))>
1553944506.186 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553944506.186 * * [simplify]: iters left: 5 (6 enodes)
1553944506.188 * * [simplify]: iters left: 4 (20 enodes)
1553944506.191 * * [simplify]: iters left: 3 (25 enodes)
1553944506.195 * * [simplify]: iters left: 2 (27 enodes)
1553944506.198 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.198 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944506.198 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944506.198 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944506.199 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944506.199 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944506.199 * * [simplify]: Extracting #6: cost 1 inf + 622
1553944506.199 * * [simplify]: Extracting #7: cost 0 inf + 745
1553944506.199 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553944506.199 * [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)))))))
1553944506.199 * * * * [progress]: [ 7 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944506.200 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553944506.200 * * [simplify]: iters left: 4 (5 enodes)
1553944506.202 * * [simplify]: iters left: 3 (17 enodes)
1553944506.207 * * [simplify]: iters left: 2 (22 enodes)
1553944506.212 * * [simplify]: iters left: 1 (24 enodes)
1553944506.215 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.215 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944506.215 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944506.215 * * [simplify]: Extracting #3: cost 1 inf + 458
1553944506.215 * * [simplify]: Extracting #4: cost 0 inf + 499
1553944506.215 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553944506.215 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1553944506.215 * * * * [progress]: [ 8 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944506.216 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944506.216 * * [simplify]: iters left: 5 (9 enodes)
1553944506.219 * * [simplify]: iters left: 4 (33 enodes)
1553944506.224 * * [simplify]: iters left: 3 (43 enodes)
1553944506.230 * * [simplify]: iters left: 2 (48 enodes)
1553944506.236 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.236 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944506.236 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944506.236 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944506.236 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944506.236 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944506.237 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944506.237 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944506.237 * [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)))))))
1553944506.237 * * * * [progress]: [ 9 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944506.238 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944506.238 * * [simplify]: iters left: 5 (9 enodes)
1553944506.242 * * [simplify]: iters left: 4 (33 enodes)
1553944506.252 * * [simplify]: iters left: 3 (43 enodes)
1553944506.263 * * [simplify]: iters left: 2 (48 enodes)
1553944506.272 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.272 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944506.272 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944506.272 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944506.272 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944506.273 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944506.273 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944506.273 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944506.273 * [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)))))))
1553944506.273 * * * * [progress]: [ 10 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553944506.273 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553944506.273 * * [simplify]: iters left: 5 (8 enodes)
1553944506.276 * * [simplify]: iters left: 4 (27 enodes)
1553944506.280 * * [simplify]: iters left: 3 (32 enodes)
1553944506.284 * * [simplify]: iters left: 2 (34 enodes)
1553944506.289 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.289 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944506.289 * * [simplify]: Extracting #2: cost 11 inf + 0
1553944506.289 * * [simplify]: Extracting #3: cost 12 inf + 3
1553944506.289 * * [simplify]: Extracting #4: cost 8 inf + 171
1553944506.289 * * [simplify]: Extracting #5: cost 1 inf + 918
1553944506.289 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553944506.289 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944506.290 * [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)))))))
1553944506.290 * * * * [progress]: [ 11 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553944506.290 * * * * [progress]: [ 12 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 13 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 14 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 15 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 16 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 17 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944506.290 * * * * [progress]: [ 18 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.290 * * * * [progress]: [ 19 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 20 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 21 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 22 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 23 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 24 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 25 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 26 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 27 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 28 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553944506.290 * * * * [progress]: [ 29 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553944506.290 * * * * [progress]: [ 30 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944506.291 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1553944506.291 * * [simplify]: iters left: 6 (14 enodes)
1553944506.294 * * [simplify]: iters left: 5 (54 enodes)
1553944506.308 * * [simplify]: iters left: 4 (99 enodes)
1553944506.332 * * [simplify]: iters left: 3 (251 enodes)
1553944506.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.421 * * [simplify]: Extracting #1: cost 22 inf + 0
1553944506.421 * * [simplify]: Extracting #2: cost 151 inf + 0
1553944506.423 * * [simplify]: Extracting #3: cost 206 inf + 3
1553944506.425 * * [simplify]: Extracting #4: cost 173 inf + 5981
1553944506.437 * * [simplify]: Extracting #5: cost 39 inf + 35063
1553944506.455 * * [simplify]: Extracting #6: cost 0 inf + 45920
1553944506.474 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1553944506.474 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553944506.474 * * * * [progress]: [ 31 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944506.475 * [simplify]: Simplifying (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1553944506.475 * * [simplify]: iters left: 6 (14 enodes)
1553944506.482 * * [simplify]: iters left: 5 (54 enodes)
1553944506.499 * * [simplify]: iters left: 4 (99 enodes)
1553944506.526 * * [simplify]: iters left: 3 (251 enodes)
1553944506.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.616 * * [simplify]: Extracting #1: cost 22 inf + 0
1553944506.617 * * [simplify]: Extracting #2: cost 151 inf + 0
1553944506.618 * * [simplify]: Extracting #3: cost 206 inf + 3
1553944506.619 * * [simplify]: Extracting #4: cost 173 inf + 5981
1553944506.628 * * [simplify]: Extracting #5: cost 39 inf + 35063
1553944506.637 * * [simplify]: Extracting #6: cost 0 inf + 45920
1553944506.646 * [simplify]: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI))))
1553944506.646 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553944506.646 * * * * [progress]: [ 32 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.647 * [simplify]: Simplifying (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944506.647 * * [simplify]: iters left: 6 (14 enodes)
1553944506.650 * * [simplify]: iters left: 5 (52 enodes)
1553944506.663 * * [simplify]: iters left: 4 (82 enodes)
1553944506.683 * * [simplify]: iters left: 3 (163 enodes)
1553944506.717 * * [simplify]: iters left: 2 (399 enodes)
1553944506.886 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944506.887 * * [simplify]: Extracting #1: cost 48 inf + 0
1553944506.890 * * [simplify]: Extracting #2: cost 211 inf + 0
1553944506.891 * * [simplify]: Extracting #3: cost 265 inf + 74
1553944506.893 * * [simplify]: Extracting #4: cost 228 inf + 7096
1553944506.900 * * [simplify]: Extracting #5: cost 73 inf + 44667
1553944506.914 * * [simplify]: Extracting #6: cost 0 inf + 66878
1553944506.928 * * [simplify]: Extracting #7: cost 0 inf + 66248
1553944506.942 * [simplify]: Simplified to (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))))
1553944506.942 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))
1553944506.942 * * * * [progress]: [ 33 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (exp (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.942 * * * * [progress]: [ 34 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (log (exp (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.942 * * * * [progress]: [ 35 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944506.943 * [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)))))
1553944506.943 * * [simplify]: iters left: 6 (16 enodes)
1553944506.949 * * [simplify]: iters left: 5 (61 enodes)
1553944506.969 * * [simplify]: iters left: 4 (115 enodes)
1553944506.994 * * [simplify]: iters left: 3 (192 enodes)
1553944507.034 * * [simplify]: iters left: 2 (231 enodes)
1553944507.107 * * [simplify]: iters left: 1 (252 enodes)
1553944507.153 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.153 * * [simplify]: Extracting #1: cost 24 inf + 0
1553944507.153 * * [simplify]: Extracting #2: cost 46 inf + 42
1553944507.153 * * [simplify]: Extracting #3: cost 53 inf + 246
1553944507.154 * * [simplify]: Extracting #4: cost 52 inf + 458
1553944507.155 * * [simplify]: Extracting #5: cost 24 inf + 9511
1553944507.162 * * [simplify]: Extracting #6: cost 3 inf + 18519
1553944507.170 * * [simplify]: Extracting #7: cost 0 inf + 19924
1553944507.179 * [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)))))
1553944507.179 * [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))))))))
1553944507.179 * * * * [progress]: [ 36 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.179 * * * * [progress]: [ 37 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (cbrt (* (* (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.179 * * * * [progress]: [ 38 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.180 * * * * [progress]: [ 39 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (- (sqrt k)) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944507.180 * * * * [progress]: [ 40 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944507.180 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1553944507.180 * * [simplify]: iters left: 6 (12 enodes)
1553944507.188 * * [simplify]: iters left: 5 (43 enodes)
1553944507.201 * * [simplify]: iters left: 4 (55 enodes)
1553944507.216 * * [simplify]: iters left: 3 (63 enodes)
1553944507.232 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.232 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944507.232 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944507.233 * * [simplify]: Extracting #3: cost 23 inf + 1
1553944507.233 * * [simplify]: Extracting #4: cost 19 inf + 130
1553944507.233 * * [simplify]: Extracting #5: cost 9 inf + 986
1553944507.234 * * [simplify]: Extracting #6: cost 3 inf + 2207
1553944507.235 * * [simplify]: Extracting #7: cost 0 inf + 3099
1553944507.236 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1553944507.236 * [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)))))))
1553944507.236 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944507.237 * * [simplify]: iters left: 6 (12 enodes)
1553944507.242 * * [simplify]: iters left: 5 (42 enodes)
1553944507.254 * * [simplify]: iters left: 4 (52 enodes)
1553944507.267 * * [simplify]: iters left: 3 (57 enodes)
1553944507.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.274 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.274 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.274 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944507.274 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944507.274 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944507.275 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944507.275 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944507.275 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944507.275 * [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))))))
1553944507.276 * * * * [progress]: [ 41 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944507.276 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))
1553944507.276 * * [simplify]: iters left: 6 (12 enodes)
1553944507.279 * * [simplify]: iters left: 5 (43 enodes)
1553944507.285 * * [simplify]: iters left: 4 (55 enodes)
1553944507.293 * * [simplify]: iters left: 3 (63 enodes)
1553944507.307 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.307 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944507.307 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944507.307 * * [simplify]: Extracting #3: cost 23 inf + 1
1553944507.307 * * [simplify]: Extracting #4: cost 19 inf + 130
1553944507.307 * * [simplify]: Extracting #5: cost 9 inf + 986
1553944507.308 * * [simplify]: Extracting #6: cost 3 inf + 2207
1553944507.309 * * [simplify]: Extracting #7: cost 0 inf + 3099
1553944507.310 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n (* PI 2))))
1553944507.310 * [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)))))))
1553944507.311 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944507.311 * * [simplify]: iters left: 6 (12 enodes)
1553944507.316 * * [simplify]: iters left: 5 (42 enodes)
1553944507.328 * * [simplify]: iters left: 4 (52 enodes)
1553944507.342 * * [simplify]: iters left: 3 (57 enodes)
1553944507.356 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.356 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.356 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.356 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944507.357 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944507.357 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944507.358 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944507.359 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944507.359 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944507.359 * [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))))))
1553944507.360 * * * * [progress]: [ 42 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1553944507.360 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1553944507.360 * * [simplify]: iters left: 6 (12 enodes)
1553944507.363 * * [simplify]: iters left: 5 (41 enodes)
1553944507.369 * * [simplify]: iters left: 4 (50 enodes)
1553944507.376 * * [simplify]: iters left: 3 (55 enodes)
1553944507.383 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.383 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944507.383 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944507.383 * * [simplify]: Extracting #3: cost 24 inf + 0
1553944507.383 * * [simplify]: Extracting #4: cost 22 inf + 45
1553944507.383 * * [simplify]: Extracting #5: cost 12 inf + 983
1553944507.384 * * [simplify]: Extracting #6: cost 2 inf + 3914
1553944507.384 * * [simplify]: Extracting #7: cost 0 inf + 4942
1553944507.385 * [simplify]: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))
1553944507.385 * [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)))))))
1553944507.385 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944507.385 * * [simplify]: iters left: 6 (10 enodes)
1553944507.388 * * [simplify]: iters left: 5 (32 enodes)
1553944507.393 * * [simplify]: iters left: 4 (37 enodes)
1553944507.399 * * [simplify]: iters left: 3 (39 enodes)
1553944507.407 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.408 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.408 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.408 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944507.408 * * [simplify]: Extracting #4: cost 16 inf + 3
1553944507.408 * * [simplify]: Extracting #5: cost 14 inf + 86
1553944507.408 * * [simplify]: Extracting #6: cost 5 inf + 742
1553944507.408 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553944507.408 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944507.408 * [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)))))))
1553944507.409 * * * * [progress]: [ 43 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.409 * [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))))))
1553944507.409 * * [simplify]: iters left: 6 (16 enodes)
1553944507.414 * * [simplify]: iters left: 5 (60 enodes)
1553944507.423 * * [simplify]: iters left: 4 (88 enodes)
1553944507.435 * * [simplify]: iters left: 3 (102 enodes)
1553944507.454 * * [simplify]: iters left: 2 (105 enodes)
1553944507.475 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.475 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944507.475 * * [simplify]: Extracting #2: cost 22 inf + 0
1553944507.475 * * [simplify]: Extracting #3: cost 27 inf + 0
1553944507.475 * * [simplify]: Extracting #4: cost 36 inf + 42
1553944507.475 * * [simplify]: Extracting #5: cost 32 inf + 693
1553944507.475 * * [simplify]: Extracting #6: cost 23 inf + 1234
1553944507.476 * * [simplify]: Extracting #7: cost 17 inf + 1940
1553944507.477 * * [simplify]: Extracting #8: cost 3 inf + 10070
1553944507.478 * * [simplify]: Extracting #9: cost 0 inf + 11915
1553944507.480 * [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))))))
1553944507.480 * [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))))))))
1553944507.480 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.480 * * [simplify]: iters left: 6 (14 enodes)
1553944507.484 * * [simplify]: iters left: 5 (48 enodes)
1553944507.491 * * [simplify]: iters left: 4 (61 enodes)
1553944507.500 * * [simplify]: iters left: 3 (68 enodes)
1553944507.517 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.517 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.518 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944507.518 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944507.518 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944507.518 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944507.519 * * [simplify]: Extracting #6: cost 4 inf + 3019
1553944507.520 * * [simplify]: Extracting #7: cost 0 inf + 4133
1553944507.521 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944507.521 * [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))))))))
1553944507.521 * * * * [progress]: [ 44 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.521 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.521 * * [simplify]: iters left: 6 (15 enodes)
1553944507.525 * * [simplify]: iters left: 5 (53 enodes)
1553944507.532 * * [simplify]: iters left: 4 (70 enodes)
1553944507.542 * * [simplify]: iters left: 3 (80 enodes)
1553944507.560 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.560 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944507.560 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944507.560 * * [simplify]: Extracting #3: cost 19 inf + 0
1553944507.560 * * [simplify]: Extracting #4: cost 29 inf + 1
1553944507.560 * * [simplify]: Extracting #5: cost 28 inf + 129
1553944507.561 * * [simplify]: Extracting #6: cost 11 inf + 2482
1553944507.562 * * [simplify]: Extracting #7: cost 1 inf + 6100
1553944507.564 * * [simplify]: Extracting #8: cost 0 inf + 6675
1553944507.565 * [simplify]: Simplified to (* (/ (cbrt (sqrt k)) (sqrt (pow (* n (* PI 2)) (- 1/2 (/ k 2))))) (cbrt (sqrt k)))
1553944507.566 * [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))))))))
1553944507.566 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.566 * * [simplify]: iters left: 6 (14 enodes)
1553944507.573 * * [simplify]: iters left: 5 (48 enodes)
1553944507.582 * * [simplify]: iters left: 4 (61 enodes)
1553944507.591 * * [simplify]: iters left: 3 (68 enodes)
1553944507.599 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.599 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.599 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944507.599 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944507.599 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944507.599 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944507.600 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553944507.600 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553944507.601 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944507.601 * [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))))))))
1553944507.601 * * * * [progress]: [ 45 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944507.601 * [simplify]: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)
1553944507.601 * * [simplify]: iters left: 6 (6 enodes)
1553944507.603 * * [simplify]: iters left: 5 (20 enodes)
1553944507.607 * * [simplify]: iters left: 4 (30 enodes)
1553944507.612 * * [simplify]: iters left: 3 (31 enodes)
1553944507.618 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.618 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944507.618 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944507.618 * * [simplify]: Extracting #3: cost 9 inf + 1
1553944507.618 * * [simplify]: Extracting #4: cost 8 inf + 2
1553944507.619 * * [simplify]: Extracting #5: cost 0 inf + 972
1553944507.619 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553944507.619 * [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)))))))
1553944507.619 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944507.620 * * [simplify]: iters left: 6 (13 enodes)
1553944507.625 * * [simplify]: iters left: 5 (45 enodes)
1553944507.632 * * [simplify]: iters left: 4 (58 enodes)
1553944507.640 * * [simplify]: iters left: 3 (65 enodes)
1553944507.648 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.648 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.648 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.648 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944507.648 * * [simplify]: Extracting #4: cost 20 inf + 172
1553944507.648 * * [simplify]: Extracting #5: cost 13 inf + 587
1553944507.649 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553944507.649 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553944507.650 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944507.650 * [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)))))))
1553944507.650 * * * * [progress]: [ 46 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944507.650 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1553944507.650 * * [simplify]: iters left: 6 (11 enodes)
1553944507.653 * * [simplify]: iters left: 5 (38 enodes)
1553944507.664 * * [simplify]: iters left: 4 (46 enodes)
1553944507.675 * * [simplify]: iters left: 3 (52 enodes)
1553944507.682 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.682 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.682 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.682 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944507.682 * * [simplify]: Extracting #4: cost 10 inf + 501
1553944507.682 * * [simplify]: Extracting #5: cost 5 inf + 710
1553944507.682 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553944507.683 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553944507.683 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1553944507.683 * [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)))))))
1553944507.683 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944507.683 * * [simplify]: iters left: 6 (12 enodes)
1553944507.686 * * [simplify]: iters left: 5 (42 enodes)
1553944507.692 * * [simplify]: iters left: 4 (52 enodes)
1553944507.700 * * [simplify]: iters left: 3 (57 enodes)
1553944507.709 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.709 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.709 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.709 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944507.710 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944507.710 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944507.711 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944507.711 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944507.712 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944507.712 * [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))))))
1553944507.712 * * * * [progress]: [ 47 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944507.713 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))
1553944507.713 * * [simplify]: iters left: 6 (11 enodes)
1553944507.718 * * [simplify]: iters left: 5 (38 enodes)
1553944507.729 * * [simplify]: iters left: 4 (46 enodes)
1553944507.742 * * [simplify]: iters left: 3 (52 enodes)
1553944507.755 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.755 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.755 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.755 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944507.755 * * [simplify]: Extracting #4: cost 10 inf + 501
1553944507.756 * * [simplify]: Extracting #5: cost 5 inf + 710
1553944507.756 * * [simplify]: Extracting #6: cost 1 inf + 1157
1553944507.757 * * [simplify]: Extracting #7: cost 0 inf + 1401
1553944507.758 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* n 2) PI)))
1553944507.758 * [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)))))))
1553944507.758 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944507.758 * * [simplify]: iters left: 6 (12 enodes)
1553944507.764 * * [simplify]: iters left: 5 (42 enodes)
1553944507.776 * * [simplify]: iters left: 4 (52 enodes)
1553944507.790 * * [simplify]: iters left: 3 (57 enodes)
1553944507.799 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.799 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.799 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.799 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944507.799 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944507.799 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944507.800 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944507.800 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944507.800 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944507.800 * [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))))))
1553944507.801 * * * * [progress]: [ 48 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))))>
1553944507.801 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1553944507.801 * * [simplify]: iters left: 6 (11 enodes)
1553944507.804 * * [simplify]: iters left: 5 (36 enodes)
1553944507.809 * * [simplify]: iters left: 4 (41 enodes)
1553944507.814 * * [simplify]: iters left: 3 (43 enodes)
1553944507.825 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.825 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.825 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.825 * * [simplify]: Extracting #3: cost 18 inf + 0
1553944507.826 * * [simplify]: Extracting #4: cost 16 inf + 46
1553944507.826 * * [simplify]: Extracting #5: cost 11 inf + 335
1553944507.826 * * [simplify]: Extracting #6: cost 3 inf + 1162
1553944507.827 * * [simplify]: Extracting #7: cost 0 inf + 2404
1553944507.827 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))
1553944507.828 * [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)))))))
1553944507.828 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944507.828 * * [simplify]: iters left: 6 (10 enodes)
1553944507.833 * * [simplify]: iters left: 5 (32 enodes)
1553944507.842 * * [simplify]: iters left: 4 (37 enodes)
1553944507.848 * * [simplify]: iters left: 3 (39 enodes)
1553944507.853 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.853 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.853 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944507.853 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944507.853 * * [simplify]: Extracting #4: cost 16 inf + 3
1553944507.854 * * [simplify]: Extracting #5: cost 14 inf + 86
1553944507.854 * * [simplify]: Extracting #6: cost 5 inf + 662
1553944507.854 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553944507.854 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944507.854 * [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)))))))
1553944507.854 * * * * [progress]: [ 49 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.855 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944507.855 * * [simplify]: iters left: 6 (15 enodes)
1553944507.858 * * [simplify]: iters left: 5 (53 enodes)
1553944507.866 * * [simplify]: iters left: 4 (68 enodes)
1553944507.881 * * [simplify]: iters left: 3 (75 enodes)
1553944507.900 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.900 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944507.900 * * [simplify]: Extracting #2: cost 12 inf + 0
1553944507.900 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944507.900 * * [simplify]: Extracting #4: cost 27 inf + 1
1553944507.901 * * [simplify]: Extracting #5: cost 24 inf + 213
1553944507.901 * * [simplify]: Extracting #6: cost 6 inf + 3317
1553944507.903 * * [simplify]: Extracting #7: cost 0 inf + 6193
1553944507.904 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944507.904 * [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))))))))
1553944507.905 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.905 * * [simplify]: iters left: 6 (14 enodes)
1553944507.908 * * [simplify]: iters left: 5 (48 enodes)
1553944507.915 * * [simplify]: iters left: 4 (61 enodes)
1553944507.924 * * [simplify]: iters left: 3 (68 enodes)
1553944507.933 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.933 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.933 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944507.933 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944507.933 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944507.934 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944507.934 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553944507.935 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553944507.936 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944507.937 * [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))))))))
1553944507.937 * * * * [progress]: [ 50 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944507.937 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.937 * * [simplify]: iters left: 6 (14 enodes)
1553944507.944 * * [simplify]: iters left: 5 (48 enodes)
1553944507.958 * * [simplify]: iters left: 4 (61 enodes)
1553944507.970 * * [simplify]: iters left: 3 (68 enodes)
1553944507.978 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944507.978 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944507.978 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944507.978 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944507.978 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944507.979 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944507.979 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553944507.979 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553944507.980 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944507.980 * [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))))))))
1553944507.980 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944507.980 * * [simplify]: iters left: 6 (14 enodes)
1553944507.984 * * [simplify]: iters left: 5 (48 enodes)
1553944507.990 * * [simplify]: iters left: 4 (61 enodes)
1553944508.005 * * [simplify]: iters left: 3 (68 enodes)
1553944508.022 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.022 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.022 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944508.022 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944508.022 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944508.023 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944508.023 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553944508.024 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553944508.026 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944508.026 * [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))))))))
1553944508.026 * * * * [progress]: [ 51 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.026 * [simplify]: Simplifying (/ (sqrt (sqrt k)) 1)
1553944508.026 * * [simplify]: iters left: 4 (5 enodes)
1553944508.029 * * [simplify]: iters left: 3 (15 enodes)
1553944508.033 * * [simplify]: iters left: 2 (17 enodes)
1553944508.038 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.038 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.038 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944508.038 * * [simplify]: Extracting #3: cost 4 inf + 2
1553944508.039 * * [simplify]: Extracting #4: cost 1 inf + 165
1553944508.039 * * [simplify]: Extracting #5: cost 0 inf + 246
1553944508.039 * [simplify]: Simplified to (sqrt (sqrt k))
1553944508.039 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944508.039 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.039 * * [simplify]: iters left: 6 (13 enodes)
1553944508.046 * * [simplify]: iters left: 5 (45 enodes)
1553944508.053 * * [simplify]: iters left: 4 (58 enodes)
1553944508.061 * * [simplify]: iters left: 3 (65 enodes)
1553944508.070 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.070 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.070 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.070 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944508.070 * * [simplify]: Extracting #4: cost 20 inf + 172
1553944508.070 * * [simplify]: Extracting #5: cost 13 inf + 587
1553944508.071 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553944508.071 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553944508.072 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.072 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944508.072 * * * * [progress]: [ 52 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944508.072 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1553944508.072 * * [simplify]: iters left: 6 (9 enodes)
1553944508.076 * * [simplify]: iters left: 5 (34 enodes)
1553944508.087 * * [simplify]: iters left: 4 (44 enodes)
1553944508.100 * * [simplify]: iters left: 3 (49 enodes)
1553944508.114 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.114 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.114 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944508.114 * * [simplify]: Extracting #3: cost 12 inf + 2
1553944508.114 * * [simplify]: Extracting #4: cost 6 inf + 501
1553944508.115 * * [simplify]: Extracting #5: cost 0 inf + 997
1553944508.115 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1553944508.115 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1553944508.116 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553944508.116 * * [simplify]: iters left: 6 (11 enodes)
1553944508.121 * * [simplify]: iters left: 5 (39 enodes)
1553944508.129 * * [simplify]: iters left: 4 (49 enodes)
1553944508.135 * * [simplify]: iters left: 3 (55 enodes)
1553944508.142 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.142 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.142 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.142 * * [simplify]: Extracting #3: cost 18 inf + 1
1553944508.143 * * [simplify]: Extracting #4: cost 15 inf + 211
1553944508.143 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553944508.143 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944508.143 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553944508.143 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1553944508.144 * * * * [progress]: [ 53 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) 1/2)) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944508.144 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) 1/2))
1553944508.144 * * [simplify]: iters left: 6 (9 enodes)
1553944508.147 * * [simplify]: iters left: 5 (34 enodes)
1553944508.155 * * [simplify]: iters left: 4 (44 enodes)
1553944508.167 * * [simplify]: iters left: 3 (49 enodes)
1553944508.180 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.180 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.180 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944508.180 * * [simplify]: Extracting #3: cost 12 inf + 2
1553944508.180 * * [simplify]: Extracting #4: cost 6 inf + 501
1553944508.181 * * [simplify]: Extracting #5: cost 0 inf + 997
1553944508.181 * [simplify]: Simplified to (/ 1 (sqrt (* n (* PI 2))))
1553944508.181 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2)))))))
1553944508.181 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553944508.181 * * [simplify]: iters left: 6 (11 enodes)
1553944508.184 * * [simplify]: iters left: 5 (39 enodes)
1553944508.189 * * [simplify]: iters left: 4 (49 enodes)
1553944508.196 * * [simplify]: iters left: 3 (55 enodes)
1553944508.203 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.203 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.203 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.203 * * [simplify]: Extracting #3: cost 18 inf + 1
1553944508.203 * * [simplify]: Extracting #4: cost 15 inf + 211
1553944508.204 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553944508.204 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944508.204 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553944508.204 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))))
1553944508.204 * * * * [progress]: [ 54 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
1553944508.205 * [simplify]: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))
1553944508.205 * * [simplify]: iters left: 6 (10 enodes)
1553944508.207 * * [simplify]: iters left: 5 (35 enodes)
1553944508.213 * * [simplify]: iters left: 4 (42 enodes)
1553944508.225 * * [simplify]: iters left: 3 (44 enodes)
1553944508.239 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.239 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.239 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944508.239 * * [simplify]: Extracting #3: cost 13 inf + 1
1553944508.239 * * [simplify]: Extracting #4: cost 13 inf + 46
1553944508.239 * * [simplify]: Extracting #5: cost 11 inf + 130
1553944508.239 * * [simplify]: Extracting #6: cost 5 inf + 503
1553944508.240 * * [simplify]: Extracting #7: cost 0 inf + 2003
1553944508.241 * [simplify]: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))
1553944508.241 * [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)))))))
1553944508.241 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553944508.241 * * [simplify]: iters left: 6 (9 enodes)
1553944508.246 * * [simplify]: iters left: 5 (29 enodes)
1553944508.255 * * [simplify]: iters left: 4 (34 enodes)
1553944508.266 * * [simplify]: iters left: 3 (36 enodes)
1553944508.277 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.277 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.278 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.278 * * [simplify]: Extracting #3: cost 11 inf + 2
1553944508.278 * * [simplify]: Extracting #4: cost 12 inf + 85
1553944508.278 * * [simplify]: Extracting #5: cost 9 inf + 251
1553944508.278 * * [simplify]: Extracting #6: cost 4 inf + 793
1553944508.278 * * [simplify]: Extracting #7: cost 0 inf + 1918
1553944508.278 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553944508.278 * [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)))))))
1553944508.279 * * * * [progress]: [ 55 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.279 * [simplify]: Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944508.279 * * [simplify]: iters left: 6 (14 enodes)
1553944508.283 * * [simplify]: iters left: 5 (52 enodes)
1553944508.291 * * [simplify]: iters left: 4 (69 enodes)
1553944508.300 * * [simplify]: iters left: 3 (77 enodes)
1553944508.315 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.315 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944508.315 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944508.315 * * [simplify]: Extracting #3: cost 12 inf + 1
1553944508.315 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944508.315 * * [simplify]: Extracting #5: cost 23 inf + 172
1553944508.316 * * [simplify]: Extracting #6: cost 14 inf + 713
1553944508.316 * * [simplify]: Extracting #7: cost 4 inf + 3651
1553944508.318 * * [simplify]: Extracting #8: cost 0 inf + 5634
1553944508.319 * [simplify]: Simplified to (/ 1 (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553944508.319 * [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))))))))
1553944508.320 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.320 * * [simplify]: iters left: 6 (13 enodes)
1553944508.327 * * [simplify]: iters left: 5 (45 enodes)
1553944508.340 * * [simplify]: iters left: 4 (58 enodes)
1553944508.357 * * [simplify]: iters left: 3 (65 enodes)
1553944508.374 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.374 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.374 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944508.374 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944508.374 * * [simplify]: Extracting #4: cost 19 inf + 83
1553944508.374 * * [simplify]: Extracting #5: cost 20 inf + 129
1553944508.375 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944508.376 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553944508.377 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553944508.378 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944508.378 * [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))))))))
1553944508.378 * * * * [progress]: [ 56 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.378 * [simplify]: Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.378 * * [simplify]: iters left: 6 (13 enodes)
1553944508.386 * * [simplify]: iters left: 5 (47 enodes)
1553944508.403 * * [simplify]: iters left: 4 (62 enodes)
1553944508.421 * * [simplify]: iters left: 3 (69 enodes)
1553944508.439 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.439 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.439 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944508.440 * * [simplify]: Extracting #3: cost 8 inf + 1
1553944508.440 * * [simplify]: Extracting #4: cost 19 inf + 1
1553944508.440 * * [simplify]: Extracting #5: cost 17 inf + 297
1553944508.440 * * [simplify]: Extracting #6: cost 10 inf + 632
1553944508.441 * * [simplify]: Extracting #7: cost 2 inf + 2915
1553944508.442 * * [simplify]: Extracting #8: cost 0 inf + 3412
1553944508.443 * [simplify]: Simplified to (/ 1 (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553944508.443 * [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))))))))
1553944508.443 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.444 * * [simplify]: iters left: 6 (13 enodes)
1553944508.447 * * [simplify]: iters left: 5 (45 enodes)
1553944508.454 * * [simplify]: iters left: 4 (58 enodes)
1553944508.462 * * [simplify]: iters left: 3 (65 enodes)
1553944508.470 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.470 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.470 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944508.470 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944508.470 * * [simplify]: Extracting #4: cost 19 inf + 83
1553944508.470 * * [simplify]: Extracting #5: cost 20 inf + 129
1553944508.471 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944508.471 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553944508.472 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553944508.472 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944508.472 * [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))))))))
1553944508.472 * * * * [progress]: [ 57 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.472 * [simplify]: Simplifying (/ 1 1)
1553944508.472 * * [simplify]: iters left: 2 (2 enodes)
1553944508.473 * * [simplify]: iters left: 1 (6 enodes)
1553944508.475 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.475 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944508.475 * [simplify]: Simplified to 1
1553944508.475 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944508.475 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.475 * * [simplify]: iters left: 6 (12 enodes)
1553944508.479 * * [simplify]: iters left: 5 (42 enodes)
1553944508.492 * * [simplify]: iters left: 4 (55 enodes)
1553944508.507 * * [simplify]: iters left: 3 (62 enodes)
1553944508.524 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.525 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.525 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.525 * * [simplify]: Extracting #3: cost 19 inf + 1
1553944508.525 * * [simplify]: Extracting #4: cost 20 inf + 46
1553944508.525 * * [simplify]: Extracting #5: cost 12 inf + 504
1553944508.526 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553944508.527 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553944508.528 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553944508.528 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))))
1553944508.528 * * * * [progress]: [ 58 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.528 * * * * [progress]: [ 59 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.528 * * * * [progress]: [ 60 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944508.528 * * * * [progress]: [ 61 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944508.528 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944508.528 * * [simplify]: iters left: 5 (9 enodes)
1553944508.533 * * [simplify]: iters left: 4 (33 enodes)
1553944508.542 * * [simplify]: iters left: 3 (43 enodes)
1553944508.549 * * [simplify]: iters left: 2 (48 enodes)
1553944508.555 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.555 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.555 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944508.555 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944508.555 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944508.555 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944508.556 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944508.556 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944508.556 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553944508.556 * * * * [progress]: [ 62 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944508.556 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944508.557 * * [simplify]: iters left: 5 (9 enodes)
1553944508.559 * * [simplify]: iters left: 4 (33 enodes)
1553944508.564 * * [simplify]: iters left: 3 (43 enodes)
1553944508.570 * * [simplify]: iters left: 2 (48 enodes)
1553944508.577 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.577 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.577 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944508.577 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944508.577 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944508.578 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944508.578 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944508.578 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944508.578 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* PI 2) n) (- (/ k 2))))))
1553944508.578 * * * * [progress]: [ 63 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1553944508.578 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1553944508.579 * * [simplify]: iters left: 5 (7 enodes)
1553944508.581 * * [simplify]: iters left: 4 (23 enodes)
1553944508.584 * * [simplify]: iters left: 3 (28 enodes)
1553944508.589 * * [simplify]: iters left: 2 (30 enodes)
1553944508.593 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.593 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.593 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944508.593 * * [simplify]: Extracting #3: cost 11 inf + 2
1553944508.593 * * [simplify]: Extracting #4: cost 8 inf + 127
1553944508.593 * * [simplify]: Extracting #5: cost 3 inf + 417
1553944508.593 * * [simplify]: Extracting #6: cost 1 inf + 794
1553944508.593 * * [simplify]: Extracting #7: cost 0 inf + 1088
1553944508.594 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1553944508.594 * [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))))))
1553944508.594 * * * * [progress]: [ 64 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.594 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.594 * * [simplify]: iters left: 6 (11 enodes)
1553944508.597 * * [simplify]: iters left: 5 (39 enodes)
1553944508.603 * * [simplify]: iters left: 4 (52 enodes)
1553944508.611 * * [simplify]: iters left: 3 (59 enodes)
1553944508.626 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.626 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.626 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944508.626 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944508.626 * * [simplify]: Extracting #4: cost 19 inf + 46
1553944508.626 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553944508.627 * * [simplify]: Extracting #6: cost 0 inf + 2579
1553944508.628 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553944508.628 * [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)))))))
1553944508.628 * * * * [progress]: [ 65 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.628 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.629 * * [simplify]: iters left: 6 (11 enodes)
1553944508.634 * * [simplify]: iters left: 5 (39 enodes)
1553944508.646 * * [simplify]: iters left: 4 (52 enodes)
1553944508.661 * * [simplify]: iters left: 3 (59 enodes)
1553944508.675 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.676 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.676 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944508.676 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944508.676 * * [simplify]: Extracting #4: cost 19 inf + 46
1553944508.676 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553944508.677 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553944508.678 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553944508.678 * [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)))))))
1553944508.678 * * * * [progress]: [ 66 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944508.678 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944508.678 * * [simplify]: iters left: 5 (10 enodes)
1553944508.682 * * [simplify]: iters left: 4 (36 enodes)
1553944508.688 * * [simplify]: iters left: 3 (49 enodes)
1553944508.695 * * [simplify]: iters left: 2 (56 enodes)
1553944508.702 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.702 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.702 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944508.702 * * [simplify]: Extracting #3: cost 18 inf + 4
1553944508.703 * * [simplify]: Extracting #4: cost 7 inf + 630
1553944508.703 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553944508.703 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944508.703 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944508.703 * * * * [progress]: [ 67 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
1553944508.703 * [simplify]: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553944508.704 * * [simplify]: iters left: 4 (4 enodes)
1553944508.704 * * [simplify]: iters left: 3 (12 enodes)
1553944508.706 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.706 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.706 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944508.706 * * [simplify]: Extracting #3: cost 7 inf + 0
1553944508.706 * * [simplify]: Extracting #4: cost 6 inf + 1
1553944508.706 * * [simplify]: Extracting #5: cost 0 inf + 647
1553944508.706 * [simplify]: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k)))
1553944508.706 * [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))))))
1553944508.706 * * * * [progress]: [ 68 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
1553944508.706 * [simplify]: Simplifying (sqrt (sqrt k))
1553944508.706 * * [simplify]: iters left: 2 (3 enodes)
1553944508.707 * * [simplify]: iters left: 1 (9 enodes)
1553944508.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.708 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.708 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944508.708 * * [simplify]: Extracting #3: cost 4 inf + 1
1553944508.708 * * [simplify]: Extracting #4: cost 0 inf + 245
1553944508.708 * [simplify]: Simplified to (sqrt (sqrt k))
1553944508.708 * [simplify]: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))
1553944508.708 * * * * [progress]: [ 69 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
1553944508.708 * * * * [progress]: [ 70 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553944508.709 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944508.709 * * [simplify]: iters left: 5 (8 enodes)
1553944508.712 * * [simplify]: iters left: 4 (28 enodes)
1553944508.721 * * [simplify]: iters left: 3 (36 enodes)
1553944508.731 * * [simplify]: iters left: 2 (41 enodes)
1553944508.739 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.739 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.739 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944508.739 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944508.739 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944508.740 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944508.741 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944508.741 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))
1553944508.741 * * * * [progress]: [ 71 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (posit16->real (real->posit16 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.741 * * * * [progress]: [ 72 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))>
1553944508.741 * * * * [progress]: [ 73 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- 1)))>
1553944508.741 * [simplify]: Simplifying (- 1)
1553944508.741 * * [simplify]: iters left: 2 (2 enodes)
1553944508.742 * * [simplify]: iters left: 1 (9 enodes)
1553944508.744 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.744 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944508.744 * [simplify]: Simplified to -1
1553944508.744 * [simplify]: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) -1))
1553944508.744 * * * * [progress]: [ 74 / 124 ] simplifiying candidate #<alt (λ (k n) (pow (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553944508.744 * * * * [progress]: [ 75 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944508.744 * * * * [progress]: [ 76 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944508.744 * * * * [progress]: [ 77 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k)) (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.744 * * * * [progress]: [ 78 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 79 / 124 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 80 / 124 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 81 / 124 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 82 / 124 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 83 / 124 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944508.745 * * * * [progress]: [ 84 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (- 1) (- (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.745 * * * * [progress]: [ 85 / 124 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.745 * * * * [progress]: [ 86 / 124 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.745 * * * * [progress]: [ 87 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553944508.745 * * * * [progress]: [ 88 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.745 * [simplify]: Simplifying (cbrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.745 * * [simplify]: iters left: 6 (13 enodes)
1553944508.749 * * [simplify]: iters left: 5 (45 enodes)
1553944508.755 * * [simplify]: iters left: 4 (58 enodes)
1553944508.763 * * [simplify]: iters left: 3 (65 enodes)
1553944508.778 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.778 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.778 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944508.778 * * [simplify]: Extracting #3: cost 11 inf + 0
1553944508.778 * * [simplify]: Extracting #4: cost 21 inf + 1
1553944508.778 * * [simplify]: Extracting #5: cost 21 inf + 88
1553944508.779 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944508.780 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553944508.781 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553944508.782 * [simplify]: Simplified to (cbrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944508.782 * [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)))))))
1553944508.782 * * * * [progress]: [ 89 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.782 * [simplify]: Simplifying (sqrt (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.783 * * [simplify]: iters left: 6 (13 enodes)
1553944508.789 * * [simplify]: iters left: 5 (45 enodes)
1553944508.802 * * [simplify]: iters left: 4 (58 enodes)
1553944508.819 * * [simplify]: iters left: 3 (65 enodes)
1553944508.828 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.828 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944508.828 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944508.828 * * [simplify]: Extracting #3: cost 11 inf + 0
1553944508.828 * * [simplify]: Extracting #4: cost 21 inf + 1
1553944508.828 * * [simplify]: Extracting #5: cost 21 inf + 88
1553944508.828 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944508.829 * * [simplify]: Extracting #7: cost 1 inf + 3156
1553944508.829 * * [simplify]: Extracting #8: cost 0 inf + 3651
1553944508.830 * [simplify]: Simplified to (sqrt (/ (sqrt k) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944508.830 * [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)))))))
1553944508.830 * * * * [progress]: [ 90 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944508.830 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944508.830 * * [simplify]: iters left: 6 (12 enodes)
1553944508.833 * * [simplify]: iters left: 5 (42 enodes)
1553944508.839 * * [simplify]: iters left: 4 (52 enodes)
1553944508.847 * * [simplify]: iters left: 3 (57 enodes)
1553944508.854 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.854 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.854 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.854 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944508.854 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944508.854 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944508.855 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944508.855 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944508.856 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944508.856 * [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)))))
1553944508.856 * * * * [progress]: [ 91 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* n 2) PI) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944508.856 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944508.856 * * [simplify]: iters left: 6 (12 enodes)
1553944508.859 * * [simplify]: iters left: 5 (42 enodes)
1553944508.869 * * [simplify]: iters left: 4 (52 enodes)
1553944508.881 * * [simplify]: iters left: 3 (57 enodes)
1553944508.892 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.892 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.892 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.892 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944508.892 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944508.892 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944508.892 * * [simplify]: Extracting #6: cost 1 inf + 2358
1553944508.893 * * [simplify]: Extracting #7: cost 0 inf + 2892
1553944508.893 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944508.893 * [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)))))
1553944508.893 * * * * [progress]: [ 92 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1553944508.894 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944508.894 * * [simplify]: iters left: 6 (10 enodes)
1553944508.896 * * [simplify]: iters left: 5 (32 enodes)
1553944508.901 * * [simplify]: iters left: 4 (37 enodes)
1553944508.906 * * [simplify]: iters left: 3 (39 enodes)
1553944508.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.912 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.912 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944508.912 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944508.912 * * [simplify]: Extracting #4: cost 16 inf + 3
1553944508.912 * * [simplify]: Extracting #5: cost 14 inf + 86
1553944508.912 * * [simplify]: Extracting #6: cost 5 inf + 742
1553944508.912 * * [simplify]: Extracting #7: cost 0 inf + 2320
1553944508.913 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944508.913 * [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))))))
1553944508.913 * * * * [progress]: [ 93 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.913 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.913 * * [simplify]: iters left: 6 (14 enodes)
1553944508.916 * * [simplify]: iters left: 5 (48 enodes)
1553944508.924 * * [simplify]: iters left: 4 (61 enodes)
1553944508.933 * * [simplify]: iters left: 3 (68 enodes)
1553944508.943 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.943 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.943 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944508.943 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944508.943 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944508.943 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944508.944 * * [simplify]: Extracting #6: cost 4 inf + 3019
1553944508.945 * * [simplify]: Extracting #7: cost 0 inf + 4133
1553944508.946 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944508.946 * [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)))))))
1553944508.946 * * * * [progress]: [ 94 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944508.946 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944508.946 * * [simplify]: iters left: 6 (14 enodes)
1553944508.952 * * [simplify]: iters left: 5 (48 enodes)
1553944508.964 * * [simplify]: iters left: 4 (61 enodes)
1553944508.978 * * [simplify]: iters left: 3 (68 enodes)
1553944508.994 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944508.994 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944508.994 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944508.994 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944508.994 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944508.994 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944508.995 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553944508.996 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553944508.997 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944508.997 * [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)))))))
1553944508.997 * * * * [progress]: [ 95 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944508.997 * [simplify]: Simplifying (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944508.997 * * [simplify]: iters left: 6 (13 enodes)
1553944509.003 * * [simplify]: iters left: 5 (45 enodes)
1553944509.014 * * [simplify]: iters left: 4 (58 enodes)
1553944509.028 * * [simplify]: iters left: 3 (65 enodes)
1553944509.038 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.038 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.038 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.038 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944509.038 * * [simplify]: Extracting #4: cost 20 inf + 172
1553944509.039 * * [simplify]: Extracting #5: cost 13 inf + 587
1553944509.039 * * [simplify]: Extracting #6: cost 1 inf + 2528
1553944509.040 * * [simplify]: Extracting #7: cost 0 inf + 3063
1553944509.040 * [simplify]: Simplified to (/ (cbrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.040 * [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))))))
1553944509.040 * * * * [progress]: [ 96 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944509.040 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944509.040 * * [simplify]: iters left: 6 (12 enodes)
1553944509.043 * * [simplify]: iters left: 5 (42 enodes)
1553944509.049 * * [simplify]: iters left: 4 (52 enodes)
1553944509.057 * * [simplify]: iters left: 3 (57 enodes)
1553944509.065 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.065 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.065 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.065 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944509.065 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944509.066 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944509.066 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944509.067 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944509.068 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944509.068 * [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)))))
1553944509.068 * * * * [progress]: [ 97 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944509.068 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- (/ k 2))))
1553944509.068 * * [simplify]: iters left: 6 (12 enodes)
1553944509.074 * * [simplify]: iters left: 5 (42 enodes)
1553944509.082 * * [simplify]: iters left: 4 (52 enodes)
1553944509.089 * * [simplify]: iters left: 3 (57 enodes)
1553944509.096 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.096 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.096 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.096 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944509.096 * * [simplify]: Extracting #4: cost 17 inf + 296
1553944509.097 * * [simplify]: Extracting #5: cost 8 inf + 751
1553944509.097 * * [simplify]: Extracting #6: cost 1 inf + 2238
1553944509.097 * * [simplify]: Extracting #7: cost 0 inf + 2732
1553944509.098 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))
1553944509.098 * [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)))))
1553944509.098 * * * * [progress]: [ 98 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))>
1553944509.098 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944509.098 * * [simplify]: iters left: 6 (10 enodes)
1553944509.101 * * [simplify]: iters left: 5 (32 enodes)
1553944509.105 * * [simplify]: iters left: 4 (37 enodes)
1553944509.112 * * [simplify]: iters left: 3 (39 enodes)
1553944509.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.120 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.120 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.120 * * [simplify]: Extracting #3: cost 14 inf + 1
1553944509.120 * * [simplify]: Extracting #4: cost 16 inf + 3
1553944509.120 * * [simplify]: Extracting #5: cost 14 inf + 86
1553944509.120 * * [simplify]: Extracting #6: cost 5 inf + 662
1553944509.120 * * [simplify]: Extracting #7: cost 0 inf + 2160
1553944509.121 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))
1553944509.121 * [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))))))
1553944509.121 * * * * [progress]: [ 99 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944509.121 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944509.121 * * [simplify]: iters left: 6 (14 enodes)
1553944509.124 * * [simplify]: iters left: 5 (48 enodes)
1553944509.131 * * [simplify]: iters left: 4 (61 enodes)
1553944509.141 * * [simplify]: iters left: 3 (68 enodes)
1553944509.150 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.150 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.150 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944509.150 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944509.150 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944509.150 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944509.151 * * [simplify]: Extracting #6: cost 4 inf + 2899
1553944509.152 * * [simplify]: Extracting #7: cost 0 inf + 3973
1553944509.153 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944509.153 * [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)))))))
1553944509.153 * * * * [progress]: [ 100 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944509.154 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944509.154 * * [simplify]: iters left: 6 (14 enodes)
1553944509.161 * * [simplify]: iters left: 5 (48 enodes)
1553944509.175 * * [simplify]: iters left: 4 (61 enodes)
1553944509.193 * * [simplify]: iters left: 3 (68 enodes)
1553944509.201 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.201 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.201 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944509.201 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944509.201 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944509.201 * * [simplify]: Extracting #5: cost 21 inf + 172
1553944509.202 * * [simplify]: Extracting #6: cost 4 inf + 2779
1553944509.202 * * [simplify]: Extracting #7: cost 0 inf + 3813
1553944509.203 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1553944509.203 * [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)))))))
1553944509.203 * * * * [progress]: [ 101 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944509.203 * [simplify]: Simplifying (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.203 * * [simplify]: iters left: 6 (13 enodes)
1553944509.206 * * [simplify]: iters left: 5 (45 enodes)
1553944509.213 * * [simplify]: iters left: 4 (58 enodes)
1553944509.221 * * [simplify]: iters left: 3 (65 enodes)
1553944509.232 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.232 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.232 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.232 * * [simplify]: Extracting #3: cost 22 inf + 0
1553944509.232 * * [simplify]: Extracting #4: cost 20 inf + 172
1553944509.233 * * [simplify]: Extracting #5: cost 13 inf + 587
1553944509.233 * * [simplify]: Extracting #6: cost 1 inf + 2408
1553944509.234 * * [simplify]: Extracting #7: cost 0 inf + 2903
1553944509.235 * [simplify]: Simplified to (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.235 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944509.235 * * * * [progress]: [ 102 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944509.236 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553944509.236 * * [simplify]: iters left: 6 (11 enodes)
1553944509.241 * * [simplify]: iters left: 5 (39 enodes)
1553944509.254 * * [simplify]: iters left: 4 (49 enodes)
1553944509.268 * * [simplify]: iters left: 3 (55 enodes)
1553944509.277 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.277 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.277 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.277 * * [simplify]: Extracting #3: cost 18 inf + 1
1553944509.277 * * [simplify]: Extracting #4: cost 15 inf + 211
1553944509.277 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553944509.278 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944509.278 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553944509.278 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1553944509.278 * * * * [progress]: [ 103 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944509.279 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
1553944509.279 * * [simplify]: iters left: 6 (11 enodes)
1553944509.281 * * [simplify]: iters left: 5 (39 enodes)
1553944509.287 * * [simplify]: iters left: 4 (49 enodes)
1553944509.293 * * [simplify]: iters left: 3 (55 enodes)
1553944509.300 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.300 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.300 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.300 * * [simplify]: Extracting #3: cost 18 inf + 1
1553944509.300 * * [simplify]: Extracting #4: cost 15 inf + 211
1553944509.300 * * [simplify]: Extracting #5: cost 3 inf + 1208
1553944509.302 * * [simplify]: Extracting #6: cost 0 inf + 2490
1553944509.302 * [simplify]: Simplified to (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))
1553944509.302 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))))
1553944509.303 * * * * [progress]: [ 104 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
1553944509.303 * [simplify]: Simplifying (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553944509.303 * * [simplify]: iters left: 6 (9 enodes)
1553944509.308 * * [simplify]: iters left: 5 (29 enodes)
1553944509.316 * * [simplify]: iters left: 4 (34 enodes)
1553944509.326 * * [simplify]: iters left: 3 (36 enodes)
1553944509.336 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.336 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.336 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.336 * * [simplify]: Extracting #3: cost 11 inf + 2
1553944509.337 * * [simplify]: Extracting #4: cost 12 inf + 85
1553944509.337 * * [simplify]: Extracting #5: cost 9 inf + 251
1553944509.337 * * [simplify]: Extracting #6: cost 4 inf + 793
1553944509.338 * * [simplify]: Extracting #7: cost 0 inf + 1918
1553944509.338 * [simplify]: Simplified to (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
1553944509.338 * [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))))))
1553944509.338 * * * * [progress]: [ 105 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944509.339 * [simplify]: Simplifying (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944509.339 * * [simplify]: iters left: 6 (13 enodes)
1553944509.345 * * [simplify]: iters left: 5 (45 enodes)
1553944509.359 * * [simplify]: iters left: 4 (58 enodes)
1553944509.378 * * [simplify]: iters left: 3 (65 enodes)
1553944509.387 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.387 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.387 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944509.387 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944509.388 * * [simplify]: Extracting #4: cost 19 inf + 83
1553944509.388 * * [simplify]: Extracting #5: cost 20 inf + 129
1553944509.388 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944509.388 * * [simplify]: Extracting #7: cost 1 inf + 3196
1553944509.389 * * [simplify]: Extracting #8: cost 0 inf + 3731
1553944509.389 * [simplify]: Simplified to (/ (sqrt k) (cbrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944509.389 * [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)))))))
1553944509.389 * * * * [progress]: [ 106 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944509.390 * [simplify]: Simplifying (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944509.390 * * [simplify]: iters left: 6 (13 enodes)
1553944509.393 * * [simplify]: iters left: 5 (45 enodes)
1553944509.399 * * [simplify]: iters left: 4 (58 enodes)
1553944509.407 * * [simplify]: iters left: 3 (65 enodes)
1553944509.415 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.415 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.415 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944509.415 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944509.416 * * [simplify]: Extracting #4: cost 19 inf + 83
1553944509.416 * * [simplify]: Extracting #5: cost 20 inf + 129
1553944509.416 * * [simplify]: Extracting #6: cost 11 inf + 711
1553944509.416 * * [simplify]: Extracting #7: cost 1 inf + 3076
1553944509.417 * * [simplify]: Extracting #8: cost 0 inf + 3571
1553944509.417 * [simplify]: Simplified to (/ (sqrt k) (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1553944509.417 * [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)))))))
1553944509.417 * * * * [progress]: [ 107 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944509.418 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.418 * * [simplify]: iters left: 6 (12 enodes)
1553944509.421 * * [simplify]: iters left: 5 (42 enodes)
1553944509.427 * * [simplify]: iters left: 4 (55 enodes)
1553944509.441 * * [simplify]: iters left: 3 (62 enodes)
1553944509.450 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.450 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.450 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.451 * * [simplify]: Extracting #3: cost 19 inf + 1
1553944509.451 * * [simplify]: Extracting #4: cost 20 inf + 46
1553944509.451 * * [simplify]: Extracting #5: cost 12 inf + 504
1553944509.451 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553944509.451 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553944509.452 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553944509.452 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944509.452 * * * * [progress]: [ 108 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944509.452 * [simplify]: Simplifying (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.452 * * [simplify]: iters left: 6 (12 enodes)
1553944509.456 * * [simplify]: iters left: 5 (42 enodes)
1553944509.464 * * [simplify]: iters left: 4 (55 enodes)
1553944509.471 * * [simplify]: iters left: 3 (62 enodes)
1553944509.481 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.481 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.481 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944509.481 * * [simplify]: Extracting #3: cost 19 inf + 1
1553944509.481 * * [simplify]: Extracting #4: cost 20 inf + 46
1553944509.481 * * [simplify]: Extracting #5: cost 12 inf + 504
1553944509.482 * * [simplify]: Extracting #6: cost 1 inf + 2206
1553944509.483 * * [simplify]: Extracting #7: cost 0 inf + 2661
1553944509.483 * [simplify]: Simplified to (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))
1553944509.484 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944509.484 * * * * [progress]: [ 109 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944509.484 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944509.484 * * [simplify]: iters left: 6 (12 enodes)
1553944509.491 * * [simplify]: iters left: 5 (44 enodes)
1553944509.499 * * [simplify]: iters left: 4 (59 enodes)
1553944509.507 * * [simplify]: iters left: 3 (66 enodes)
1553944509.516 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.516 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.516 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944509.516 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944509.516 * * [simplify]: Extracting #4: cost 15 inf + 297
1553944509.516 * * [simplify]: Extracting #5: cost 8 inf + 673
1553944509.517 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553944509.517 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553944509.518 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944509.518 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944509.518 * * * * [progress]: [ 110 / 124 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553944509.518 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944509.518 * * [simplify]: iters left: 5 (8 enodes)
1553944509.520 * * [simplify]: iters left: 4 (28 enodes)
1553944509.524 * * [simplify]: iters left: 3 (36 enodes)
1553944509.533 * * [simplify]: iters left: 2 (41 enodes)
1553944509.544 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.544 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.544 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944509.544 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944509.544 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944509.545 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944509.545 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944509.545 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1553944509.545 * * * * [progress]: [ 111 / 124 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553944509.546 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944509.546 * * [simplify]: iters left: 5 (10 enodes)
1553944509.551 * * [simplify]: iters left: 4 (36 enodes)
1553944509.562 * * [simplify]: iters left: 3 (49 enodes)
1553944509.577 * * [simplify]: iters left: 2 (56 enodes)
1553944509.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.592 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944509.592 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944509.592 * * [simplify]: Extracting #3: cost 18 inf + 4
1553944509.592 * * [simplify]: Extracting #4: cost 7 inf + 630
1553944509.593 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553944509.593 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944509.593 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944509.593 * * * * [progress]: [ 112 / 124 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944509.593 * * * * [progress]: [ 113 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))))))>
1553944509.594 * [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)))))
1553944509.594 * * [simplify]: iters left: 6 (37 enodes)
1553944509.604 * * [simplify]: iters left: 5 (179 enodes)
1553944509.648 * * [simplify]: iters left: 4 (458 enodes)
1553944509.843 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944509.843 * * [simplify]: Extracting #1: cost 57 inf + 0
1553944509.844 * * [simplify]: Extracting #2: cost 287 inf + 0
1553944509.846 * * [simplify]: Extracting #3: cost 485 inf + 158
1553944509.848 * * [simplify]: Extracting #4: cost 473 inf + 4949
1553944509.874 * * [simplify]: Extracting #5: cost 294 inf + 68227
1553944509.951 * * [simplify]: Extracting #6: cost 43 inf + 204764
1553944510.045 * * [simplify]: Extracting #7: cost 0 inf + 227627
1553944510.096 * * [simplify]: Extracting #8: cost 0 inf + 222950
1553944510.176 * * [simplify]: Extracting #9: cost 0 inf + 222310
1553944510.246 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1553944510.246 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))))))
1553944510.247 * * * * [progress]: [ 114 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553944510.247 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553944510.247 * * [simplify]: iters left: 6 (15 enodes)
1553944510.253 * * [simplify]: iters left: 5 (63 enodes)
1553944510.263 * * [simplify]: iters left: 4 (108 enodes)
1553944510.290 * * [simplify]: iters left: 3 (260 enodes)
1553944510.364 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944510.364 * * [simplify]: Extracting #1: cost 17 inf + 0
1553944510.365 * * [simplify]: Extracting #2: cost 115 inf + 0
1553944510.366 * * [simplify]: Extracting #3: cost 221 inf + 4
1553944510.368 * * [simplify]: Extracting #4: cost 174 inf + 5827
1553944510.380 * * [simplify]: Extracting #5: cost 46 inf + 35251
1553944510.389 * * [simplify]: Extracting #6: cost 0 inf + 47711
1553944510.398 * * [simplify]: Extracting #7: cost 0 inf + 47571
1553944510.407 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1553944510.407 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))))))
1553944510.407 * * * * [progress]: [ 115 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553944510.407 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553944510.407 * * [simplify]: iters left: 6 (15 enodes)
1553944510.414 * * [simplify]: iters left: 5 (60 enodes)
1553944510.434 * * [simplify]: iters left: 4 (111 enodes)
1553944510.481 * * [simplify]: iters left: 3 (294 enodes)
1553944510.622 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944510.622 * * [simplify]: Extracting #1: cost 16 inf + 0
1553944510.622 * * [simplify]: Extracting #2: cost 142 inf + 0
1553944510.623 * * [simplify]: Extracting #3: cost 317 inf + 187
1553944510.624 * * [simplify]: Extracting #4: cost 290 inf + 2919
1553944510.630 * * [simplify]: Extracting #5: cost 105 inf + 47243
1553944510.648 * * [simplify]: Extracting #6: cost 3 inf + 79409
1553944510.682 * * [simplify]: Extracting #7: cost 0 inf + 77357
1553944510.711 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1553944510.711 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))
1553944510.711 * * * * [progress]: [ 116 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944510.712 * [simplify]: Simplifying (* 2 (* n PI))
1553944510.712 * * [simplify]: iters left: 4 (5 enodes)
1553944510.715 * * [simplify]: iters left: 3 (19 enodes)
1553944510.721 * * [simplify]: iters left: 2 (27 enodes)
1553944510.728 * * [simplify]: iters left: 1 (32 enodes)
1553944510.736 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944510.736 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944510.736 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944510.737 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944510.737 * [simplify]: Simplified to (* (* PI n) 2)
1553944510.737 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944510.737 * * * * [progress]: [ 117 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944510.737 * [simplify]: Simplifying (* 2 (* n PI))
1553944510.738 * * [simplify]: iters left: 4 (5 enodes)
1553944510.740 * * [simplify]: iters left: 3 (19 enodes)
1553944510.746 * * [simplify]: iters left: 2 (27 enodes)
1553944510.754 * * [simplify]: iters left: 1 (32 enodes)
1553944510.761 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944510.761 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944510.761 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944510.761 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944510.762 * [simplify]: Simplified to (* (* PI n) 2)
1553944510.762 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944510.762 * * * * [progress]: [ 118 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944510.762 * [simplify]: Simplifying (* 2 (* n PI))
1553944510.762 * * [simplify]: iters left: 4 (5 enodes)
1553944510.763 * * [simplify]: iters left: 3 (19 enodes)
1553944510.766 * * [simplify]: iters left: 2 (27 enodes)
1553944510.770 * * [simplify]: iters left: 1 (32 enodes)
1553944510.774 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944510.774 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944510.774 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944510.774 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944510.775 * [simplify]: Simplified to (* (* PI n) 2)
1553944510.775 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944510.775 * * * * [progress]: [ 119 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI)))))))))))))>
1553944510.775 * [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)))))))))))
1553944510.775 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553944510.775 * * * * [progress]: [ 120 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))))))))>
1553944510.775 * [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))))))))))))
1553944510.775 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553944510.775 * * * * [progress]: [ 121 / 124 ] simplifiying candidate #<alt (λ (k n) (/ 1 (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))))>
1553944510.775 * [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))))))))))))
1553944510.776 * [simplify]: Simplified (2 2) to (λ (k n) (/ 1 +nan.0))
1553944510.776 * * * * [progress]: [ 122 / 124 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1553944510.776 * [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)))))))))))))
1553944510.776 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944510.776 * * * * [progress]: [ 123 / 124 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
1553944510.776 * [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))))))))
1553944510.776 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944510.776 * * * * [progress]: [ 124 / 124 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
1553944510.776 * [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)))))))))))
1553944510.776 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944510.777 * * * [progress]: adding candidates to table
1553944512.148 * * [progress]: iteration 3 / 4
1553944512.148 * * * [progress]: picking best candidate
1553944512.189 * * * * [pick]: Picked  #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944512.189 * * * [progress]: localizing error
1553944512.202 * * * [progress]: generating rewritten candidates
1553944512.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553944512.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553944512.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
1553944512.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1553944512.232 * * * [progress]: generating series expansions
1553944512.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553944512.232 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553944512.232 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553944512.232 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944512.232 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944512.232 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944512.232 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944512.232 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.232 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.232 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944512.232 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.232 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.232 * [taylor]: Taking taylor expansion of k in k
1553944512.232 * [backup-simplify]: Simplify 0 into 0
1553944512.232 * [backup-simplify]: Simplify 1 into 1
1553944512.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944512.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944512.232 * [taylor]: Taking taylor expansion of 2 in k
1553944512.232 * [backup-simplify]: Simplify 2 into 2
1553944512.232 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944512.233 * [taylor]: Taking taylor expansion of n in k
1553944512.233 * [backup-simplify]: Simplify n into n
1553944512.233 * [taylor]: Taking taylor expansion of PI in k
1553944512.233 * [backup-simplify]: Simplify PI into PI
1553944512.233 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944512.233 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944512.233 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944512.234 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944512.234 * [backup-simplify]: Simplify (- 0) into 0
1553944512.234 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.235 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944512.235 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944512.235 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944512.235 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944512.235 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944512.235 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944512.235 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.235 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.235 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944512.235 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.235 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.235 * [taylor]: Taking taylor expansion of k in n
1553944512.235 * [backup-simplify]: Simplify k into k
1553944512.235 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.235 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.235 * [taylor]: Taking taylor expansion of 2 in n
1553944512.235 * [backup-simplify]: Simplify 2 into 2
1553944512.235 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.235 * [taylor]: Taking taylor expansion of n in n
1553944512.235 * [backup-simplify]: Simplify 0 into 0
1553944512.235 * [backup-simplify]: Simplify 1 into 1
1553944512.235 * [taylor]: Taking taylor expansion of PI in n
1553944512.235 * [backup-simplify]: Simplify PI into PI
1553944512.236 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.236 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.239 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.240 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.240 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944512.240 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944512.241 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944512.242 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.248 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944512.250 * [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)))))
1553944512.250 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944512.250 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944512.250 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944512.250 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944512.250 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.250 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.250 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944512.250 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.250 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.250 * [taylor]: Taking taylor expansion of k in n
1553944512.250 * [backup-simplify]: Simplify k into k
1553944512.250 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.250 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.250 * [taylor]: Taking taylor expansion of 2 in n
1553944512.250 * [backup-simplify]: Simplify 2 into 2
1553944512.250 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.250 * [taylor]: Taking taylor expansion of n in n
1553944512.250 * [backup-simplify]: Simplify 0 into 0
1553944512.250 * [backup-simplify]: Simplify 1 into 1
1553944512.250 * [taylor]: Taking taylor expansion of PI in n
1553944512.250 * [backup-simplify]: Simplify PI into PI
1553944512.251 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.251 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.254 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.255 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.255 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944512.255 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944512.255 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944512.257 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.258 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944512.259 * [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)))))
1553944512.259 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944512.259 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944512.259 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944512.259 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.259 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.259 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944512.259 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.259 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.259 * [taylor]: Taking taylor expansion of k in k
1553944512.259 * [backup-simplify]: Simplify 0 into 0
1553944512.259 * [backup-simplify]: Simplify 1 into 1
1553944512.259 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944512.259 * [taylor]: Taking taylor expansion of (log n) in k
1553944512.259 * [taylor]: Taking taylor expansion of n in k
1553944512.259 * [backup-simplify]: Simplify n into n
1553944512.260 * [backup-simplify]: Simplify (log n) into (log n)
1553944512.260 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944512.260 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944512.260 * [taylor]: Taking taylor expansion of 2 in k
1553944512.260 * [backup-simplify]: Simplify 2 into 2
1553944512.260 * [taylor]: Taking taylor expansion of PI in k
1553944512.260 * [backup-simplify]: Simplify PI into PI
1553944512.260 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.261 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.261 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944512.261 * [backup-simplify]: Simplify (- 0) into 0
1553944512.262 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.262 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.263 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944512.264 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944512.264 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944512.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944512.265 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944512.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944512.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944512.267 * [backup-simplify]: Simplify (- 0) into 0
1553944512.267 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.268 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.269 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944512.270 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944512.270 * [taylor]: Taking taylor expansion of 0 in k
1553944512.270 * [backup-simplify]: Simplify 0 into 0
1553944512.270 * [backup-simplify]: Simplify 0 into 0
1553944512.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944512.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944512.272 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944512.272 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.273 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944512.273 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.273 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944512.276 * [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)))))))
1553944512.278 * [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)))))))
1553944512.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.279 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944512.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1553944512.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944512.282 * [backup-simplify]: Simplify (- 0) into 0
1553944512.282 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.283 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944512.285 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944512.285 * [taylor]: Taking taylor expansion of 0 in k
1553944512.285 * [backup-simplify]: Simplify 0 into 0
1553944512.285 * [backup-simplify]: Simplify 0 into 0
1553944512.285 * [backup-simplify]: Simplify 0 into 0
1553944512.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944512.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.288 * [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
1553944512.289 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944512.290 * [backup-simplify]: Simplify (- 0) into 0
1553944512.291 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944512.296 * [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)))))
1553944512.301 * [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)))))
1553944512.311 * [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)))))
1553944512.311 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553944512.311 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553944512.311 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944512.311 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944512.311 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944512.311 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944512.311 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.311 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.311 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.311 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.311 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.311 * [taylor]: Taking taylor expansion of k in k
1553944512.311 * [backup-simplify]: Simplify 0 into 0
1553944512.312 * [backup-simplify]: Simplify 1 into 1
1553944512.312 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.312 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944512.312 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944512.312 * [taylor]: Taking taylor expansion of 2 in k
1553944512.312 * [backup-simplify]: Simplify 2 into 2
1553944512.312 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.312 * [taylor]: Taking taylor expansion of PI in k
1553944512.312 * [backup-simplify]: Simplify PI into PI
1553944512.312 * [taylor]: Taking taylor expansion of n in k
1553944512.312 * [backup-simplify]: Simplify n into n
1553944512.312 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.312 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944512.313 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944512.313 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.313 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.314 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.314 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944512.314 * [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))))
1553944512.314 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.314 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.314 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.314 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.314 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.314 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.314 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.314 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.314 * [taylor]: Taking taylor expansion of k in n
1553944512.315 * [backup-simplify]: Simplify k into k
1553944512.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.315 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.315 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.315 * [taylor]: Taking taylor expansion of 2 in n
1553944512.315 * [backup-simplify]: Simplify 2 into 2
1553944512.315 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.315 * [taylor]: Taking taylor expansion of PI in n
1553944512.315 * [backup-simplify]: Simplify PI into PI
1553944512.315 * [taylor]: Taking taylor expansion of n in n
1553944512.315 * [backup-simplify]: Simplify 0 into 0
1553944512.315 * [backup-simplify]: Simplify 1 into 1
1553944512.315 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.317 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.317 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.317 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.318 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.319 * [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)))
1553944512.321 * [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))))
1553944512.321 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.321 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.321 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.321 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.321 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.321 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.321 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.321 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.321 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.321 * [taylor]: Taking taylor expansion of k in n
1553944512.321 * [backup-simplify]: Simplify k into k
1553944512.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.321 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.321 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.321 * [taylor]: Taking taylor expansion of 2 in n
1553944512.321 * [backup-simplify]: Simplify 2 into 2
1553944512.322 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.322 * [taylor]: Taking taylor expansion of PI in n
1553944512.322 * [backup-simplify]: Simplify PI into PI
1553944512.322 * [taylor]: Taking taylor expansion of n in n
1553944512.322 * [backup-simplify]: Simplify 0 into 0
1553944512.322 * [backup-simplify]: Simplify 1 into 1
1553944512.322 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.324 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.324 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.324 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.325 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.327 * [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)))
1553944512.328 * [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))))
1553944512.328 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944512.328 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944512.328 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944512.328 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.328 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.328 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.328 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.328 * [taylor]: Taking taylor expansion of k in k
1553944512.328 * [backup-simplify]: Simplify 0 into 0
1553944512.328 * [backup-simplify]: Simplify 1 into 1
1553944512.328 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.328 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944512.328 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944512.329 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944512.329 * [taylor]: Taking taylor expansion of 2 in k
1553944512.329 * [backup-simplify]: Simplify 2 into 2
1553944512.329 * [taylor]: Taking taylor expansion of PI in k
1553944512.329 * [backup-simplify]: Simplify PI into PI
1553944512.329 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.330 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.330 * [taylor]: Taking taylor expansion of (log n) in k
1553944512.330 * [taylor]: Taking taylor expansion of n in k
1553944512.330 * [backup-simplify]: Simplify n into n
1553944512.330 * [backup-simplify]: Simplify (log n) into (log n)
1553944512.331 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.331 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.331 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.331 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944512.332 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944512.333 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944512.335 * [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))))
1553944512.336 * [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))))
1553944512.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944512.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944512.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944512.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944512.340 * [backup-simplify]: Simplify (- 0) into 0
1553944512.341 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.343 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944512.345 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944512.345 * [taylor]: Taking taylor expansion of 0 in k
1553944512.345 * [backup-simplify]: Simplify 0 into 0
1553944512.345 * [backup-simplify]: Simplify 0 into 0
1553944512.345 * [backup-simplify]: Simplify 0 into 0
1553944512.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.347 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.350 * [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
1553944512.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944512.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944512.352 * [backup-simplify]: Simplify (- 0) into 0
1553944512.352 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.354 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.355 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944512.357 * [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
1553944512.357 * [taylor]: Taking taylor expansion of 0 in k
1553944512.358 * [backup-simplify]: Simplify 0 into 0
1553944512.358 * [backup-simplify]: Simplify 0 into 0
1553944512.358 * [backup-simplify]: Simplify 0 into 0
1553944512.358 * [backup-simplify]: Simplify 0 into 0
1553944512.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.360 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.365 * [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
1553944512.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944512.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944512.367 * [backup-simplify]: Simplify (- 0) into 0
1553944512.368 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.377 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944512.379 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1553944512.379 * [taylor]: Taking taylor expansion of 0 in k
1553944512.379 * [backup-simplify]: Simplify 0 into 0
1553944512.379 * [backup-simplify]: Simplify 0 into 0
1553944512.381 * [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)))))
1553944512.381 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553944512.381 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553944512.381 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944512.381 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944512.381 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944512.381 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944512.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.381 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.381 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.381 * [taylor]: Taking taylor expansion of k in k
1553944512.381 * [backup-simplify]: Simplify 0 into 0
1553944512.381 * [backup-simplify]: Simplify 1 into 1
1553944512.382 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.382 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.382 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.382 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944512.382 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944512.382 * [taylor]: Taking taylor expansion of -2 in k
1553944512.382 * [backup-simplify]: Simplify -2 into -2
1553944512.382 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.382 * [taylor]: Taking taylor expansion of PI in k
1553944512.382 * [backup-simplify]: Simplify PI into PI
1553944512.382 * [taylor]: Taking taylor expansion of n in k
1553944512.382 * [backup-simplify]: Simplify n into n
1553944512.382 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.382 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944512.382 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944512.382 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.383 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.383 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944512.383 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
1553944512.383 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.383 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944512.383 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944512.383 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.383 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.383 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.384 * [taylor]: Taking taylor expansion of k in n
1553944512.384 * [backup-simplify]: Simplify k into k
1553944512.384 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.384 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.384 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.384 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.384 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.384 * [taylor]: Taking taylor expansion of -2 in n
1553944512.384 * [backup-simplify]: Simplify -2 into -2
1553944512.384 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.384 * [taylor]: Taking taylor expansion of PI in n
1553944512.384 * [backup-simplify]: Simplify PI into PI
1553944512.384 * [taylor]: Taking taylor expansion of n in n
1553944512.384 * [backup-simplify]: Simplify 0 into 0
1553944512.384 * [backup-simplify]: Simplify 1 into 1
1553944512.384 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.385 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.386 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.386 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.386 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.387 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.388 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
1553944512.390 * [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))))
1553944512.390 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.390 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944512.390 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944512.390 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.390 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.390 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.390 * [taylor]: Taking taylor expansion of k in n
1553944512.390 * [backup-simplify]: Simplify k into k
1553944512.390 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.390 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.390 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.390 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.390 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.390 * [taylor]: Taking taylor expansion of -2 in n
1553944512.390 * [backup-simplify]: Simplify -2 into -2
1553944512.390 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.390 * [taylor]: Taking taylor expansion of PI in n
1553944512.390 * [backup-simplify]: Simplify PI into PI
1553944512.390 * [taylor]: Taking taylor expansion of n in n
1553944512.390 * [backup-simplify]: Simplify 0 into 0
1553944512.390 * [backup-simplify]: Simplify 1 into 1
1553944512.391 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.391 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.392 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.392 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.392 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.395 * [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)))
1553944512.396 * [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))))
1553944512.396 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944512.396 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944512.396 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944512.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.396 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.396 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.396 * [taylor]: Taking taylor expansion of k in k
1553944512.396 * [backup-simplify]: Simplify 0 into 0
1553944512.396 * [backup-simplify]: Simplify 1 into 1
1553944512.397 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.397 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.397 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.397 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944512.397 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944512.397 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944512.397 * [taylor]: Taking taylor expansion of -2 in k
1553944512.397 * [backup-simplify]: Simplify -2 into -2
1553944512.397 * [taylor]: Taking taylor expansion of PI in k
1553944512.397 * [backup-simplify]: Simplify PI into PI
1553944512.397 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.398 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.398 * [taylor]: Taking taylor expansion of (log n) in k
1553944512.398 * [taylor]: Taking taylor expansion of n in k
1553944512.398 * [backup-simplify]: Simplify n into n
1553944512.398 * [backup-simplify]: Simplify (log n) into (log n)
1553944512.399 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.399 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.399 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944512.400 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944512.401 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944512.402 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1553944512.404 * [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))))
1553944512.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.405 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944512.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944512.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944512.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944512.408 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.410 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.411 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944512.413 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944512.413 * [taylor]: Taking taylor expansion of 0 in k
1553944512.413 * [backup-simplify]: Simplify 0 into 0
1553944512.413 * [backup-simplify]: Simplify 0 into 0
1553944512.413 * [backup-simplify]: Simplify 0 into 0
1553944512.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.415 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.418 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
1553944512.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944512.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944512.420 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.421 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.423 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944512.425 * [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
1553944512.426 * [taylor]: Taking taylor expansion of 0 in k
1553944512.426 * [backup-simplify]: Simplify 0 into 0
1553944512.426 * [backup-simplify]: Simplify 0 into 0
1553944512.426 * [backup-simplify]: Simplify 0 into 0
1553944512.426 * [backup-simplify]: Simplify 0 into 0
1553944512.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.428 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.434 * [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
1553944512.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944512.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944512.437 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.440 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553944512.442 * [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
1553944512.442 * [taylor]: Taking taylor expansion of 0 in k
1553944512.443 * [backup-simplify]: Simplify 0 into 0
1553944512.443 * [backup-simplify]: Simplify 0 into 0
1553944512.444 * [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)))))
1553944512.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553944512.444 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553944512.444 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553944512.444 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.444 * [taylor]: Taking taylor expansion of 2 in n
1553944512.444 * [backup-simplify]: Simplify 2 into 2
1553944512.444 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.444 * [taylor]: Taking taylor expansion of n in n
1553944512.444 * [backup-simplify]: Simplify 0 into 0
1553944512.444 * [backup-simplify]: Simplify 1 into 1
1553944512.444 * [taylor]: Taking taylor expansion of PI in n
1553944512.444 * [backup-simplify]: Simplify PI into PI
1553944512.444 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.444 * [taylor]: Taking taylor expansion of 2 in n
1553944512.444 * [backup-simplify]: Simplify 2 into 2
1553944512.444 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.444 * [taylor]: Taking taylor expansion of n in n
1553944512.444 * [backup-simplify]: Simplify 0 into 0
1553944512.444 * [backup-simplify]: Simplify 1 into 1
1553944512.444 * [taylor]: Taking taylor expansion of PI in n
1553944512.444 * [backup-simplify]: Simplify PI into PI
1553944512.445 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.445 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.445 * [backup-simplify]: Simplify 0 into 0
1553944512.446 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.447 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.447 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944512.448 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944512.448 * [backup-simplify]: Simplify 0 into 0
1553944512.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.450 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944512.450 * [backup-simplify]: Simplify 0 into 0
1553944512.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944512.451 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553944512.451 * [backup-simplify]: Simplify 0 into 0
1553944512.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944512.453 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553944512.453 * [backup-simplify]: Simplify 0 into 0
1553944512.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944512.455 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553944512.455 * [backup-simplify]: Simplify 0 into 0
1553944512.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553944512.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553944512.457 * [backup-simplify]: Simplify 0 into 0
1553944512.457 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553944512.457 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553944512.457 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553944512.457 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.458 * [taylor]: Taking taylor expansion of 2 in n
1553944512.458 * [backup-simplify]: Simplify 2 into 2
1553944512.458 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.458 * [taylor]: Taking taylor expansion of PI in n
1553944512.458 * [backup-simplify]: Simplify PI into PI
1553944512.458 * [taylor]: Taking taylor expansion of n in n
1553944512.458 * [backup-simplify]: Simplify 0 into 0
1553944512.458 * [backup-simplify]: Simplify 1 into 1
1553944512.458 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.458 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.458 * [taylor]: Taking taylor expansion of 2 in n
1553944512.458 * [backup-simplify]: Simplify 2 into 2
1553944512.458 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.458 * [taylor]: Taking taylor expansion of PI in n
1553944512.458 * [backup-simplify]: Simplify PI into PI
1553944512.458 * [taylor]: Taking taylor expansion of n in n
1553944512.458 * [backup-simplify]: Simplify 0 into 0
1553944512.458 * [backup-simplify]: Simplify 1 into 1
1553944512.458 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.459 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.459 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.460 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944512.460 * [backup-simplify]: Simplify 0 into 0
1553944512.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.461 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.462 * [backup-simplify]: Simplify 0 into 0
1553944512.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.463 * [backup-simplify]: Simplify 0 into 0
1553944512.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.464 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944512.464 * [backup-simplify]: Simplify 0 into 0
1553944512.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.466 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944512.466 * [backup-simplify]: Simplify 0 into 0
1553944512.466 * [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
1553944512.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944512.467 * [backup-simplify]: Simplify 0 into 0
1553944512.468 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553944512.468 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553944512.468 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553944512.468 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.468 * [taylor]: Taking taylor expansion of -2 in n
1553944512.468 * [backup-simplify]: Simplify -2 into -2
1553944512.468 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.468 * [taylor]: Taking taylor expansion of PI in n
1553944512.468 * [backup-simplify]: Simplify PI into PI
1553944512.468 * [taylor]: Taking taylor expansion of n in n
1553944512.468 * [backup-simplify]: Simplify 0 into 0
1553944512.468 * [backup-simplify]: Simplify 1 into 1
1553944512.468 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.468 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.468 * [taylor]: Taking taylor expansion of -2 in n
1553944512.468 * [backup-simplify]: Simplify -2 into -2
1553944512.468 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.468 * [taylor]: Taking taylor expansion of PI in n
1553944512.468 * [backup-simplify]: Simplify PI into PI
1553944512.468 * [taylor]: Taking taylor expansion of n in n
1553944512.468 * [backup-simplify]: Simplify 0 into 0
1553944512.468 * [backup-simplify]: Simplify 1 into 1
1553944512.469 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.469 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.469 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.470 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944512.470 * [backup-simplify]: Simplify 0 into 0
1553944512.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.471 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.471 * [backup-simplify]: Simplify 0 into 0
1553944512.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.473 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.473 * [backup-simplify]: Simplify 0 into 0
1553944512.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.474 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944512.474 * [backup-simplify]: Simplify 0 into 0
1553944512.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.476 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944512.476 * [backup-simplify]: Simplify 0 into 0
1553944512.476 * [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
1553944512.477 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944512.477 * [backup-simplify]: Simplify 0 into 0
1553944512.477 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553944512.478 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
1553944512.478 * [backup-simplify]: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1553944512.478 * [approximate]: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1553944512.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944512.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.478 * [taylor]: Taking taylor expansion of k in k
1553944512.478 * [backup-simplify]: Simplify 0 into 0
1553944512.478 * [backup-simplify]: Simplify 1 into 1
1553944512.478 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.478 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.479 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944512.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.479 * [taylor]: Taking taylor expansion of k in k
1553944512.479 * [backup-simplify]: Simplify 0 into 0
1553944512.479 * [backup-simplify]: Simplify 1 into 1
1553944512.479 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.480 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.481 * [backup-simplify]: Simplify 0 into 0
1553944512.481 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944512.484 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.484 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.490 * [backup-simplify]: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1553944512.490 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1553944512.490 * [approximate]: Taking taylor expansion of (sqrt k) in (k) around 0
1553944512.490 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944512.490 * [taylor]: Taking taylor expansion of k in k
1553944512.490 * [backup-simplify]: Simplify 0 into 0
1553944512.490 * [backup-simplify]: Simplify 1 into 1
1553944512.490 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.492 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.492 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944512.492 * [taylor]: Taking taylor expansion of k in k
1553944512.492 * [backup-simplify]: Simplify 0 into 0
1553944512.492 * [backup-simplify]: Simplify 1 into 1
1553944512.493 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.494 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.494 * [backup-simplify]: Simplify 0 into 0
1553944512.494 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.503 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.507 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.507 * [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))))))))
1553944512.507 * [backup-simplify]: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1553944512.507 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1553944512.507 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1553944512.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944512.507 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944512.507 * [taylor]: Taking taylor expansion of -1 in k
1553944512.507 * [backup-simplify]: Simplify -1 into -1
1553944512.507 * [taylor]: Taking taylor expansion of k in k
1553944512.507 * [backup-simplify]: Simplify 0 into 0
1553944512.507 * [backup-simplify]: Simplify 1 into 1
1553944512.507 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944512.508 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.508 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944512.509 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1553944512.509 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1553944512.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944512.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944512.509 * [taylor]: Taking taylor expansion of -1 in k
1553944512.509 * [backup-simplify]: Simplify -1 into -1
1553944512.509 * [taylor]: Taking taylor expansion of k in k
1553944512.509 * [backup-simplify]: Simplify 0 into 0
1553944512.509 * [backup-simplify]: Simplify 1 into 1
1553944512.509 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944512.509 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.510 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944512.511 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0
1553944512.511 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553944512.513 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.514 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1553944512.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1553944512.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.520 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1553944512.520 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
1553944512.520 * [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)))))
1553944512.521 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1553944512.521 * [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)))
1553944512.521 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0
1553944512.521 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
1553944512.521 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944512.521 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944512.521 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944512.521 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944512.521 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.521 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.521 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944512.521 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.521 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.521 * [taylor]: Taking taylor expansion of k in n
1553944512.521 * [backup-simplify]: Simplify k into k
1553944512.521 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.521 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.521 * [taylor]: Taking taylor expansion of 2 in n
1553944512.521 * [backup-simplify]: Simplify 2 into 2
1553944512.521 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.521 * [taylor]: Taking taylor expansion of n in n
1553944512.521 * [backup-simplify]: Simplify 0 into 0
1553944512.521 * [backup-simplify]: Simplify 1 into 1
1553944512.521 * [taylor]: Taking taylor expansion of PI in n
1553944512.521 * [backup-simplify]: Simplify PI into PI
1553944512.521 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.522 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.523 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.524 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.524 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944512.524 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944512.524 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944512.525 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.526 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944512.526 * [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)))))
1553944512.526 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944512.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.527 * [taylor]: Taking taylor expansion of k in n
1553944512.527 * [backup-simplify]: Simplify k into k
1553944512.527 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.527 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944512.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944512.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944512.527 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553944512.527 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944512.527 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944512.527 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944512.527 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944512.527 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.527 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.527 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944512.527 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.527 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.527 * [taylor]: Taking taylor expansion of k in k
1553944512.527 * [backup-simplify]: Simplify 0 into 0
1553944512.527 * [backup-simplify]: Simplify 1 into 1
1553944512.527 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944512.527 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944512.527 * [taylor]: Taking taylor expansion of 2 in k
1553944512.527 * [backup-simplify]: Simplify 2 into 2
1553944512.527 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944512.527 * [taylor]: Taking taylor expansion of n in k
1553944512.527 * [backup-simplify]: Simplify n into n
1553944512.527 * [taylor]: Taking taylor expansion of PI in k
1553944512.527 * [backup-simplify]: Simplify PI into PI
1553944512.527 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944512.527 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944512.527 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944512.527 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944512.528 * [backup-simplify]: Simplify (- 0) into 0
1553944512.528 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.528 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944512.528 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944512.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944512.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.528 * [taylor]: Taking taylor expansion of k in k
1553944512.528 * [backup-simplify]: Simplify 0 into 0
1553944512.528 * [backup-simplify]: Simplify 1 into 1
1553944512.528 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.529 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.530 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.530 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553944512.530 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944512.530 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944512.530 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944512.530 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944512.530 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.530 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.530 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944512.530 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.530 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.530 * [taylor]: Taking taylor expansion of k in k
1553944512.530 * [backup-simplify]: Simplify 0 into 0
1553944512.530 * [backup-simplify]: Simplify 1 into 1
1553944512.530 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944512.530 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944512.530 * [taylor]: Taking taylor expansion of 2 in k
1553944512.530 * [backup-simplify]: Simplify 2 into 2
1553944512.530 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944512.530 * [taylor]: Taking taylor expansion of n in k
1553944512.530 * [backup-simplify]: Simplify n into n
1553944512.530 * [taylor]: Taking taylor expansion of PI in k
1553944512.530 * [backup-simplify]: Simplify PI into PI
1553944512.530 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944512.530 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944512.530 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944512.530 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944512.530 * [backup-simplify]: Simplify (- 0) into 0
1553944512.531 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.531 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944512.531 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944512.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944512.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.531 * [taylor]: Taking taylor expansion of k in k
1553944512.531 * [backup-simplify]: Simplify 0 into 0
1553944512.531 * [backup-simplify]: Simplify 1 into 1
1553944512.531 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.531 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.532 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.532 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1553944512.532 * [taylor]: Taking taylor expansion of 0 in n
1553944512.532 * [backup-simplify]: Simplify 0 into 0
1553944512.533 * [backup-simplify]: Simplify 0 into 0
1553944512.533 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553944512.533 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553944512.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553944512.534 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944512.534 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.535 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553944512.535 * [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)))))
1553944512.535 * [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)))))
1553944512.535 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944512.535 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944512.535 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.535 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.535 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944512.535 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.535 * [taylor]: Taking taylor expansion of 2 in n
1553944512.535 * [backup-simplify]: Simplify 2 into 2
1553944512.536 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.536 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.536 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.536 * [taylor]: Taking taylor expansion of n in n
1553944512.536 * [backup-simplify]: Simplify 0 into 0
1553944512.536 * [backup-simplify]: Simplify 1 into 1
1553944512.536 * [taylor]: Taking taylor expansion of PI in n
1553944512.536 * [backup-simplify]: Simplify PI into PI
1553944512.537 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.538 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.540 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.540 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944512.541 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.541 * [backup-simplify]: Simplify (- 0) into 0
1553944512.541 * [backup-simplify]: Simplify 0 into 0
1553944512.542 * [backup-simplify]: Simplify 0 into 0
1553944512.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944512.545 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.545 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553944512.546 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553944512.547 * [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
1553944512.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944512.548 * [backup-simplify]: Simplify (- 0) into 0
1553944512.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553944512.549 * [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)))
1553944512.550 * [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)))))))
1553944512.550 * [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
1553944512.550 * [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
1553944512.550 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944512.550 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.550 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.550 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944512.550 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944512.550 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.550 * [taylor]: Taking taylor expansion of 2 in n
1553944512.550 * [backup-simplify]: Simplify 2 into 2
1553944512.550 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.550 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.550 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.550 * [taylor]: Taking taylor expansion of 2 in n
1553944512.550 * [backup-simplify]: Simplify 2 into 2
1553944512.550 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.550 * [taylor]: Taking taylor expansion of n in n
1553944512.551 * [backup-simplify]: Simplify 0 into 0
1553944512.551 * [backup-simplify]: Simplify 1 into 1
1553944512.551 * [taylor]: Taking taylor expansion of PI in n
1553944512.551 * [backup-simplify]: Simplify PI into PI
1553944512.551 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.551 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.553 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.554 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.554 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.554 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.554 * [taylor]: Taking taylor expansion of n in n
1553944512.554 * [backup-simplify]: Simplify 0 into 0
1553944512.554 * [backup-simplify]: Simplify 1 into 1
1553944512.554 * [taylor]: Taking taylor expansion of PI in n
1553944512.554 * [backup-simplify]: Simplify PI into PI
1553944512.554 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.555 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.556 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944512.556 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944512.556 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.556 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.556 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944512.556 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.556 * [taylor]: Taking taylor expansion of 2 in n
1553944512.556 * [backup-simplify]: Simplify 2 into 2
1553944512.557 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.557 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.557 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.557 * [taylor]: Taking taylor expansion of n in n
1553944512.557 * [backup-simplify]: Simplify 0 into 0
1553944512.557 * [backup-simplify]: Simplify 1 into 1
1553944512.557 * [taylor]: Taking taylor expansion of PI in n
1553944512.557 * [backup-simplify]: Simplify PI into PI
1553944512.557 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.559 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.559 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.560 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.561 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944512.562 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944512.562 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.563 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944512.563 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.563 * [backup-simplify]: Simplify (- 0) into 0
1553944512.563 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.564 * [backup-simplify]: Simplify (- 0) into 0
1553944512.564 * [backup-simplify]: Simplify 0 into 0
1553944512.566 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.569 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.571 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.572 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.572 * [backup-simplify]: Simplify 0 into 0
1553944512.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.578 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944512.579 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553944512.582 * [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
1553944512.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553944512.583 * [backup-simplify]: Simplify (- 0) into 0
1553944512.583 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553944512.586 * [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)))
1553944512.587 * [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)))))))))
1553944512.587 * [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
1553944512.587 * [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
1553944512.587 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944512.587 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.587 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.587 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944512.588 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944512.588 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.588 * [taylor]: Taking taylor expansion of 2 in n
1553944512.588 * [backup-simplify]: Simplify 2 into 2
1553944512.588 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.589 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.589 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.589 * [taylor]: Taking taylor expansion of 2 in n
1553944512.589 * [backup-simplify]: Simplify 2 into 2
1553944512.589 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.589 * [taylor]: Taking taylor expansion of n in n
1553944512.589 * [backup-simplify]: Simplify 0 into 0
1553944512.589 * [backup-simplify]: Simplify 1 into 1
1553944512.589 * [taylor]: Taking taylor expansion of PI in n
1553944512.589 * [backup-simplify]: Simplify PI into PI
1553944512.589 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.590 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.592 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.593 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.593 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.593 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.593 * [taylor]: Taking taylor expansion of n in n
1553944512.593 * [backup-simplify]: Simplify 0 into 0
1553944512.593 * [backup-simplify]: Simplify 1 into 1
1553944512.593 * [taylor]: Taking taylor expansion of PI in n
1553944512.593 * [backup-simplify]: Simplify PI into PI
1553944512.594 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.596 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.597 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.597 * [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
1553944512.597 * [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
1553944512.597 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944512.597 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.597 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.597 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944512.597 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.597 * [taylor]: Taking taylor expansion of 2 in n
1553944512.597 * [backup-simplify]: Simplify 2 into 2
1553944512.597 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.598 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.598 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.598 * [taylor]: Taking taylor expansion of n in n
1553944512.598 * [backup-simplify]: Simplify 0 into 0
1553944512.598 * [backup-simplify]: Simplify 1 into 1
1553944512.598 * [taylor]: Taking taylor expansion of PI in n
1553944512.598 * [backup-simplify]: Simplify PI into PI
1553944512.598 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.599 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.599 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.600 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.600 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1553944512.600 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553944512.600 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.600 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.600 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553944512.600 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553944512.600 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944512.600 * [taylor]: Taking taylor expansion of 2 in n
1553944512.600 * [backup-simplify]: Simplify 2 into 2
1553944512.601 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944512.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944512.601 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553944512.601 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944512.601 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944512.601 * [taylor]: Taking taylor expansion of 2 in n
1553944512.601 * [backup-simplify]: Simplify 2 into 2
1553944512.601 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.601 * [taylor]: Taking taylor expansion of n in n
1553944512.601 * [backup-simplify]: Simplify 0 into 0
1553944512.601 * [backup-simplify]: Simplify 1 into 1
1553944512.601 * [taylor]: Taking taylor expansion of PI in n
1553944512.601 * [backup-simplify]: Simplify PI into PI
1553944512.601 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.606 * [backup-simplify]: Simplify (* 2 0) into 0
1553944512.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.609 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944512.609 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.610 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944512.610 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944512.610 * [taylor]: Taking taylor expansion of n in n
1553944512.610 * [backup-simplify]: Simplify 0 into 0
1553944512.610 * [backup-simplify]: Simplify 1 into 1
1553944512.610 * [taylor]: Taking taylor expansion of PI in n
1553944512.610 * [backup-simplify]: Simplify PI into PI
1553944512.611 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944512.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944512.612 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.613 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944512.614 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.615 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944512.615 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944512.616 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.616 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944512.616 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.617 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.618 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.619 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553944512.620 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553944512.621 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553944512.621 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944512.622 * [backup-simplify]: Simplify (- 0) into 0
1553944512.622 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.622 * [backup-simplify]: Simplify (- 0) into 0
1553944512.622 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.622 * [backup-simplify]: Simplify (- 0) into 0
1553944512.622 * [backup-simplify]: Simplify 0 into 0
1553944512.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944512.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944512.625 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944512.626 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944512.626 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944512.628 * [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))))))))
1553944512.632 * [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))))))))
1553944512.634 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.639 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.643 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944512.651 * [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))))))))))
1553944512.659 * [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)))))))
1553944512.667 * [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)))))))
1553944512.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944512.672 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553944512.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553944512.679 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944512.687 * [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))))
1553944512.691 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944512.695 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944512.708 * [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)))))))))))))
1553944512.708 * [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))
1553944512.708 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0
1553944512.708 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
1553944512.709 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.709 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.709 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.709 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.709 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.709 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.709 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.709 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.709 * [taylor]: Taking taylor expansion of k in n
1553944512.709 * [backup-simplify]: Simplify k into k
1553944512.709 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.709 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.709 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.709 * [taylor]: Taking taylor expansion of 2 in n
1553944512.709 * [backup-simplify]: Simplify 2 into 2
1553944512.709 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.709 * [taylor]: Taking taylor expansion of PI in n
1553944512.709 * [backup-simplify]: Simplify PI into PI
1553944512.709 * [taylor]: Taking taylor expansion of n in n
1553944512.709 * [backup-simplify]: Simplify 0 into 0
1553944512.709 * [backup-simplify]: Simplify 1 into 1
1553944512.710 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.710 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.711 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.711 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.711 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.711 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.713 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.714 * [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)))
1553944512.715 * [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))))
1553944512.715 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944512.715 * [taylor]: Taking taylor expansion of k in n
1553944512.715 * [backup-simplify]: Simplify k into k
1553944512.715 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944512.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944512.715 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553944512.715 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944512.715 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944512.715 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944512.715 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944512.715 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.715 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.715 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.716 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.716 * [taylor]: Taking taylor expansion of k in k
1553944512.716 * [backup-simplify]: Simplify 0 into 0
1553944512.716 * [backup-simplify]: Simplify 1 into 1
1553944512.716 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.716 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944512.716 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944512.716 * [taylor]: Taking taylor expansion of 2 in k
1553944512.716 * [backup-simplify]: Simplify 2 into 2
1553944512.716 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.716 * [taylor]: Taking taylor expansion of PI in k
1553944512.716 * [backup-simplify]: Simplify PI into PI
1553944512.716 * [taylor]: Taking taylor expansion of n in k
1553944512.716 * [backup-simplify]: Simplify n into n
1553944512.716 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.716 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944512.716 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944512.717 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.717 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.718 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.718 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944512.718 * [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))))
1553944512.718 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944512.718 * [taylor]: Taking taylor expansion of k in k
1553944512.718 * [backup-simplify]: Simplify 0 into 0
1553944512.718 * [backup-simplify]: Simplify 1 into 1
1553944512.719 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.720 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.720 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553944512.720 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944512.720 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944512.720 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944512.720 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944512.720 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.720 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.720 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.720 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.720 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.720 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.720 * [taylor]: Taking taylor expansion of k in k
1553944512.720 * [backup-simplify]: Simplify 0 into 0
1553944512.720 * [backup-simplify]: Simplify 1 into 1
1553944512.721 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.721 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944512.721 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944512.721 * [taylor]: Taking taylor expansion of 2 in k
1553944512.721 * [backup-simplify]: Simplify 2 into 2
1553944512.721 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.721 * [taylor]: Taking taylor expansion of PI in k
1553944512.721 * [backup-simplify]: Simplify PI into PI
1553944512.721 * [taylor]: Taking taylor expansion of n in k
1553944512.721 * [backup-simplify]: Simplify n into n
1553944512.721 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.721 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944512.721 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944512.722 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.722 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944512.723 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944512.723 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944512.723 * [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))))
1553944512.723 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944512.723 * [taylor]: Taking taylor expansion of k in k
1553944512.723 * [backup-simplify]: Simplify 0 into 0
1553944512.723 * [backup-simplify]: Simplify 1 into 1
1553944512.723 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.725 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944512.725 * [backup-simplify]: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
1553944512.725 * [taylor]: Taking taylor expansion of 0 in n
1553944512.725 * [backup-simplify]: Simplify 0 into 0
1553944512.725 * [backup-simplify]: Simplify 0 into 0
1553944512.726 * [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))))))
1553944512.726 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944512.726 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944512.726 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.726 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.726 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.726 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.726 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.726 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.726 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.726 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.726 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.726 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.726 * [taylor]: Taking taylor expansion of k in n
1553944512.726 * [backup-simplify]: Simplify k into k
1553944512.726 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.726 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.726 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.726 * [taylor]: Taking taylor expansion of 2 in n
1553944512.726 * [backup-simplify]: Simplify 2 into 2
1553944512.726 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.726 * [taylor]: Taking taylor expansion of PI in n
1553944512.726 * [backup-simplify]: Simplify PI into PI
1553944512.726 * [taylor]: Taking taylor expansion of n in n
1553944512.726 * [backup-simplify]: Simplify 0 into 0
1553944512.726 * [backup-simplify]: Simplify 1 into 1
1553944512.732 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.733 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.734 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.734 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.734 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.736 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.737 * [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)))
1553944512.738 * [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))))
1553944512.739 * [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)))))
1553944512.740 * [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))))))
1553944512.741 * [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))))))
1553944512.741 * [backup-simplify]: Simplify 0 into 0
1553944512.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.745 * [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))))))
1553944512.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944512.745 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944512.745 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.745 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.746 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.746 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.746 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.746 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.746 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.746 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.746 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.746 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.746 * [taylor]: Taking taylor expansion of k in n
1553944512.746 * [backup-simplify]: Simplify k into k
1553944512.746 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.746 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.746 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.746 * [taylor]: Taking taylor expansion of 2 in n
1553944512.746 * [backup-simplify]: Simplify 2 into 2
1553944512.746 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.746 * [taylor]: Taking taylor expansion of PI in n
1553944512.746 * [backup-simplify]: Simplify PI into PI
1553944512.746 * [taylor]: Taking taylor expansion of n in n
1553944512.746 * [backup-simplify]: Simplify 0 into 0
1553944512.746 * [backup-simplify]: Simplify 1 into 1
1553944512.747 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.747 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.748 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.748 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.748 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.748 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.750 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.751 * [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)))
1553944512.752 * [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))))
1553944512.753 * [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)))))
1553944512.754 * [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))))))
1553944512.755 * [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))))))
1553944512.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.757 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944512.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944512.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944512.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944512.760 * [backup-simplify]: Simplify (- 0) into 0
1553944512.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.761 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.762 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944512.763 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944512.764 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553944512.764 * [backup-simplify]: Simplify (- 0) into 0
1553944512.764 * [backup-simplify]: Simplify 0 into 0
1553944512.764 * [backup-simplify]: Simplify 0 into 0
1553944512.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.768 * [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))))))
1553944512.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944512.768 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944512.768 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.768 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.768 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944512.768 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944512.768 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944512.768 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944512.768 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.768 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.768 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.768 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.768 * [taylor]: Taking taylor expansion of k in n
1553944512.768 * [backup-simplify]: Simplify k into k
1553944512.768 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.768 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944512.768 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944512.768 * [taylor]: Taking taylor expansion of 2 in n
1553944512.768 * [backup-simplify]: Simplify 2 into 2
1553944512.768 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.768 * [taylor]: Taking taylor expansion of PI in n
1553944512.768 * [backup-simplify]: Simplify PI into PI
1553944512.768 * [taylor]: Taking taylor expansion of n in n
1553944512.768 * [backup-simplify]: Simplify 0 into 0
1553944512.768 * [backup-simplify]: Simplify 1 into 1
1553944512.768 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.769 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944512.769 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944512.769 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.769 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944512.769 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944512.770 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944512.771 * [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)))
1553944512.772 * [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))))
1553944512.772 * [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)))))
1553944512.773 * [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))))))
1553944512.774 * [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))))))
1553944512.776 * [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))))))))
1553944512.776 * [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)))
1553944512.776 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0
1553944512.776 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1553944512.776 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.776 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944512.776 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944512.777 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.777 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.777 * [taylor]: Taking taylor expansion of k in n
1553944512.777 * [backup-simplify]: Simplify k into k
1553944512.777 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.777 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.777 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.777 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.777 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.777 * [taylor]: Taking taylor expansion of -2 in n
1553944512.777 * [backup-simplify]: Simplify -2 into -2
1553944512.777 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.777 * [taylor]: Taking taylor expansion of PI in n
1553944512.777 * [backup-simplify]: Simplify PI into PI
1553944512.777 * [taylor]: Taking taylor expansion of n in n
1553944512.777 * [backup-simplify]: Simplify 0 into 0
1553944512.777 * [backup-simplify]: Simplify 1 into 1
1553944512.777 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.777 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.778 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.778 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.778 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.780 * [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)))
1553944512.780 * [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))))
1553944512.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
1553944512.780 * [taylor]: Taking taylor expansion of (/ -1 k) in n
1553944512.780 * [taylor]: Taking taylor expansion of -1 in n
1553944512.780 * [backup-simplify]: Simplify -1 into -1
1553944512.780 * [taylor]: Taking taylor expansion of k in n
1553944512.780 * [backup-simplify]: Simplify k into k
1553944512.780 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
1553944512.780 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1553944512.781 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1553944512.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1553944512.781 * [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)))
1553944512.781 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553944512.781 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944512.781 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944512.781 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944512.781 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944512.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.781 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.781 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.781 * [taylor]: Taking taylor expansion of k in k
1553944512.782 * [backup-simplify]: Simplify 0 into 0
1553944512.782 * [backup-simplify]: Simplify 1 into 1
1553944512.782 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.782 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.782 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.782 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944512.782 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944512.782 * [taylor]: Taking taylor expansion of -2 in k
1553944512.782 * [backup-simplify]: Simplify -2 into -2
1553944512.782 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.782 * [taylor]: Taking taylor expansion of PI in k
1553944512.782 * [backup-simplify]: Simplify PI into PI
1553944512.782 * [taylor]: Taking taylor expansion of n in k
1553944512.782 * [backup-simplify]: Simplify n into n
1553944512.782 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.782 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944512.782 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944512.782 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.783 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.783 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944512.783 * [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)))
1553944512.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944512.783 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944512.783 * [taylor]: Taking taylor expansion of -1 in k
1553944512.783 * [backup-simplify]: Simplify -1 into -1
1553944512.783 * [taylor]: Taking taylor expansion of k in k
1553944512.783 * [backup-simplify]: Simplify 0 into 0
1553944512.783 * [backup-simplify]: Simplify 1 into 1
1553944512.783 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944512.783 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.784 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944512.784 * [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))))
1553944512.784 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1553944512.784 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944512.784 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944512.784 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944512.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944512.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944512.785 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.785 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944512.785 * [taylor]: Taking taylor expansion of k in k
1553944512.785 * [backup-simplify]: Simplify 0 into 0
1553944512.785 * [backup-simplify]: Simplify 1 into 1
1553944512.785 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944512.785 * [taylor]: Taking taylor expansion of 1/2 in k
1553944512.785 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.785 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944512.785 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944512.785 * [taylor]: Taking taylor expansion of -2 in k
1553944512.785 * [backup-simplify]: Simplify -2 into -2
1553944512.785 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944512.785 * [taylor]: Taking taylor expansion of PI in k
1553944512.785 * [backup-simplify]: Simplify PI into PI
1553944512.785 * [taylor]: Taking taylor expansion of n in k
1553944512.785 * [backup-simplify]: Simplify n into n
1553944512.785 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944512.785 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944512.785 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944512.785 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944512.786 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944512.786 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944512.786 * [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)))
1553944512.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
1553944512.786 * [taylor]: Taking taylor expansion of (/ -1 k) in k
1553944512.786 * [taylor]: Taking taylor expansion of -1 in k
1553944512.786 * [backup-simplify]: Simplify -1 into -1
1553944512.786 * [taylor]: Taking taylor expansion of k in k
1553944512.786 * [backup-simplify]: Simplify 0 into 0
1553944512.786 * [backup-simplify]: Simplify 1 into 1
1553944512.786 * [backup-simplify]: Simplify (/ -1 1) into -1
1553944512.787 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944512.787 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944512.787 * [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))))
1553944512.788 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944512.788 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.788 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.788 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944512.788 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.788 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.788 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.788 * [taylor]: Taking taylor expansion of -2 in n
1553944512.788 * [backup-simplify]: Simplify -2 into -2
1553944512.788 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.788 * [taylor]: Taking taylor expansion of PI in n
1553944512.788 * [backup-simplify]: Simplify PI into PI
1553944512.788 * [taylor]: Taking taylor expansion of n in n
1553944512.788 * [backup-simplify]: Simplify 0 into 0
1553944512.788 * [backup-simplify]: Simplify 1 into 1
1553944512.788 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.788 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.789 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.789 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.789 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.789 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.789 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.789 * [taylor]: Taking taylor expansion of k in n
1553944512.789 * [backup-simplify]: Simplify k into k
1553944512.789 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.789 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.789 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.791 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.791 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.791 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.792 * [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)))
1553944512.793 * [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))))
1553944512.794 * [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)))))
1553944512.795 * [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)))))
1553944512.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1553944512.799 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944512.800 * [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)))))
1553944512.800 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944512.800 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944512.800 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.800 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.800 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944512.800 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.800 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.800 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.800 * [taylor]: Taking taylor expansion of -2 in n
1553944512.800 * [backup-simplify]: Simplify -2 into -2
1553944512.800 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.800 * [taylor]: Taking taylor expansion of PI in n
1553944512.800 * [backup-simplify]: Simplify PI into PI
1553944512.800 * [taylor]: Taking taylor expansion of n in n
1553944512.800 * [backup-simplify]: Simplify 0 into 0
1553944512.800 * [backup-simplify]: Simplify 1 into 1
1553944512.801 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.801 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.802 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.802 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.802 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.802 * [taylor]: Taking taylor expansion of k in n
1553944512.802 * [backup-simplify]: Simplify k into k
1553944512.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.802 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.802 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.804 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.804 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.804 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.805 * [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)))
1553944512.806 * [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))))
1553944512.807 * [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)))))
1553944512.808 * [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))))))
1553944512.809 * [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))))))
1553944512.811 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944512.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944512.812 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944512.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944512.813 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944512.815 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944512.816 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553944512.818 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944512.819 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553944512.819 * [backup-simplify]: Simplify 0 into 0
1553944512.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944512.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944512.826 * [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)))))
1553944512.826 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944512.826 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944512.826 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944512.826 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944512.826 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944512.826 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944512.826 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944512.826 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944512.826 * [taylor]: Taking taylor expansion of -2 in n
1553944512.826 * [backup-simplify]: Simplify -2 into -2
1553944512.826 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944512.826 * [taylor]: Taking taylor expansion of PI in n
1553944512.826 * [backup-simplify]: Simplify PI into PI
1553944512.826 * [taylor]: Taking taylor expansion of n in n
1553944512.827 * [backup-simplify]: Simplify 0 into 0
1553944512.827 * [backup-simplify]: Simplify 1 into 1
1553944512.827 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944512.827 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944512.828 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944512.828 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944512.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944512.828 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.828 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.828 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944512.829 * [taylor]: Taking taylor expansion of k in n
1553944512.829 * [backup-simplify]: Simplify k into k
1553944512.829 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944512.829 * [taylor]: Taking taylor expansion of 1/2 in n
1553944512.829 * [backup-simplify]: Simplify 1/2 into 1/2
1553944512.830 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944512.830 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944512.830 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944512.831 * [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)))
1553944512.832 * [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))))
1553944512.833 * [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)))))
1553944512.835 * [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))))))
1553944512.836 * [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))))))
1553944512.840 * [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)))))))))))
1553944512.840 * * * [progress]: simplifying candidates
1553944512.840 * * * * [progress]: [ 1 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944512.840 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553944512.840 * * [simplify]: iters left: 6 (11 enodes)
1553944512.846 * * [simplify]: iters left: 5 (43 enodes)
1553944512.865 * * [simplify]: iters left: 4 (79 enodes)
1553944512.884 * * [simplify]: iters left: 3 (174 enodes)
1553944512.930 * * [simplify]: iters left: 2 (469 enodes)
1553944513.162 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.162 * * [simplify]: Extracting #1: cost 84 inf + 0
1553944513.164 * * [simplify]: Extracting #2: cost 306 inf + 0
1553944513.167 * * [simplify]: Extracting #3: cost 323 inf + 700
1553944513.170 * * [simplify]: Extracting #4: cost 264 inf + 10482
1553944513.183 * * [simplify]: Extracting #5: cost 52 inf + 75582
1553944513.207 * * [simplify]: Extracting #6: cost 0 inf + 94795
1553944513.235 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553944513.235 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553944513.236 * * * * [progress]: [ 2 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944513.236 * * * * [progress]: [ 3 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553944513.236 * [simplify]: Simplifying (* (* n 2) PI)
1553944513.236 * * [simplify]: iters left: 4 (5 enodes)
1553944513.238 * * [simplify]: iters left: 3 (19 enodes)
1553944513.241 * * [simplify]: iters left: 2 (27 enodes)
1553944513.245 * * [simplify]: iters left: 1 (32 enodes)
1553944513.248 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.248 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944513.248 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944513.249 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944513.249 * [simplify]: Simplified to (* (* n 2) PI)
1553944513.249 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553944513.249 * * * * [progress]: [ 4 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553944513.249 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944513.249 * * [simplify]: iters left: 5 (8 enodes)
1553944513.253 * * [simplify]: iters left: 4 (28 enodes)
1553944513.257 * * [simplify]: iters left: 3 (36 enodes)
1553944513.268 * * [simplify]: iters left: 2 (41 enodes)
1553944513.277 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.277 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944513.278 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944513.278 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944513.278 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944513.278 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944513.279 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944513.279 * [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))))))
1553944513.279 * * * * [progress]: [ 5 / 109 ] 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)))))))>
1553944513.279 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553944513.279 * * [simplify]: iters left: 5 (6 enodes)
1553944513.283 * * [simplify]: iters left: 4 (20 enodes)
1553944513.290 * * [simplify]: iters left: 3 (25 enodes)
1553944513.297 * * [simplify]: iters left: 2 (27 enodes)
1553944513.305 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.305 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944513.306 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944513.306 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944513.306 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944513.306 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944513.306 * * [simplify]: Extracting #6: cost 1 inf + 662
1553944513.306 * * [simplify]: Extracting #7: cost 0 inf + 825
1553944513.307 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553944513.307 * [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)))))))
1553944513.307 * * * * [progress]: [ 6 / 109 ] 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)))))))>
1553944513.307 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553944513.307 * * [simplify]: iters left: 5 (6 enodes)
1553944513.311 * * [simplify]: iters left: 4 (20 enodes)
1553944513.318 * * [simplify]: iters left: 3 (25 enodes)
1553944513.325 * * [simplify]: iters left: 2 (27 enodes)
1553944513.333 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.333 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944513.333 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944513.333 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944513.333 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944513.333 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944513.333 * * [simplify]: Extracting #6: cost 1 inf + 622
1553944513.334 * * [simplify]: Extracting #7: cost 0 inf + 745
1553944513.334 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553944513.334 * [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)))))))
1553944513.334 * * * * [progress]: [ 7 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944513.334 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553944513.334 * * [simplify]: iters left: 4 (5 enodes)
1553944513.336 * * [simplify]: iters left: 3 (17 enodes)
1553944513.339 * * [simplify]: iters left: 2 (22 enodes)
1553944513.342 * * [simplify]: iters left: 1 (24 enodes)
1553944513.346 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.346 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944513.346 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944513.346 * * [simplify]: Extracting #3: cost 1 inf + 458
1553944513.347 * * [simplify]: Extracting #4: cost 0 inf + 499
1553944513.347 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553944513.347 * [simplify]: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))
1553944513.347 * * * * [progress]: [ 8 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944513.347 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944513.347 * * [simplify]: iters left: 5 (9 enodes)
1553944513.350 * * [simplify]: iters left: 4 (33 enodes)
1553944513.354 * * [simplify]: iters left: 3 (43 enodes)
1553944513.361 * * [simplify]: iters left: 2 (48 enodes)
1553944513.369 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.369 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944513.369 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944513.369 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944513.369 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944513.370 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944513.370 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944513.371 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944513.371 * [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)))))))
1553944513.371 * * * * [progress]: [ 9 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944513.371 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944513.371 * * [simplify]: iters left: 5 (9 enodes)
1553944513.378 * * [simplify]: iters left: 4 (33 enodes)
1553944513.388 * * [simplify]: iters left: 3 (43 enodes)
1553944513.400 * * [simplify]: iters left: 2 (48 enodes)
1553944513.411 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.411 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944513.412 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944513.412 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944513.412 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944513.412 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944513.413 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944513.413 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944513.413 * [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)))))))
1553944513.414 * * * * [progress]: [ 10 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553944513.414 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553944513.414 * * [simplify]: iters left: 5 (8 enodes)
1553944513.419 * * [simplify]: iters left: 4 (27 enodes)
1553944513.427 * * [simplify]: iters left: 3 (32 enodes)
1553944513.433 * * [simplify]: iters left: 2 (34 enodes)
1553944513.437 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.438 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944513.438 * * [simplify]: Extracting #2: cost 11 inf + 0
1553944513.438 * * [simplify]: Extracting #3: cost 12 inf + 3
1553944513.438 * * [simplify]: Extracting #4: cost 8 inf + 171
1553944513.438 * * [simplify]: Extracting #5: cost 1 inf + 918
1553944513.438 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553944513.438 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944513.438 * [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)))))))
1553944513.438 * * * * [progress]: [ 11 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553944513.438 * * * * [progress]: [ 12 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944513.439 * * * * [progress]: [ 13 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944513.439 * * * * [progress]: [ 14 / 109 ] 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))))))))>
1553944513.439 * * * * [progress]: [ 15 / 109 ] 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))))))))>
1553944513.439 * * * * [progress]: [ 16 / 109 ] 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))))))))>
1553944513.439 * * * * [progress]: [ 17 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944513.439 * * * * [progress]: [ 18 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944513.439 * * * * [progress]: [ 19 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 20 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 21 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 22 / 109 ] 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))))))>
1553944513.439 * * * * [progress]: [ 23 / 109 ] 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))))))>
1553944513.439 * * * * [progress]: [ 24 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 25 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 26 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 27 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 28 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 29 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.439 * * * * [progress]: [ 30 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (pow k (- 1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.439 * [simplify]: Simplifying (- 1/2)
1553944513.439 * * [simplify]: iters left: 2 (2 enodes)
1553944513.441 * * [simplify]: iters left: 1 (7 enodes)
1553944513.442 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.442 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944513.442 * [simplify]: Simplified to -1/2
1553944513.442 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944513.442 * * * * [progress]: [ 31 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (pow (sqrt k) (- 1)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.442 * [simplify]: Simplifying (- 1)
1553944513.442 * * [simplify]: iters left: 2 (2 enodes)
1553944513.444 * * [simplify]: iters left: 1 (9 enodes)
1553944513.445 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.445 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944513.445 * [simplify]: Simplified to -1
1553944513.445 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944513.445 * * * * [progress]: [ 32 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (pow (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 33 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (exp (- (log (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 34 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 35 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 36 / 109 ] 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))))))>
1553944513.446 * * * * [progress]: [ 37 / 109 ] 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))))))>
1553944513.446 * * * * [progress]: [ 38 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 39 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (- 1) (- (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 40 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 41 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 42 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.446 * * * * [progress]: [ 43 / 109 ] 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))))))>
1553944513.446 * [simplify]: Simplifying (cbrt (sqrt k))
1553944513.446 * * [simplify]: iters left: 2 (3 enodes)
1553944513.447 * * [simplify]: iters left: 1 (9 enodes)
1553944513.448 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.448 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944513.448 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944513.448 * * [simplify]: Extracting #3: cost 4 inf + 1
1553944513.448 * * [simplify]: Extracting #4: cost 0 inf + 325
1553944513.448 * [simplify]: Simplified to (cbrt (sqrt k))
1553944513.448 * [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))))))
1553944513.448 * * * * [progress]: [ 44 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.448 * [simplify]: Simplifying (sqrt (sqrt k))
1553944513.448 * * [simplify]: iters left: 2 (3 enodes)
1553944513.449 * * [simplify]: iters left: 1 (9 enodes)
1553944513.450 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.450 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944513.450 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944513.450 * * [simplify]: Extracting #3: cost 4 inf + 1
1553944513.450 * * [simplify]: Extracting #4: cost 0 inf + 245
1553944513.450 * [simplify]: Simplified to (sqrt (sqrt k))
1553944513.450 * [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))))))
1553944513.450 * * * * [progress]: [ 45 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.451 * [simplify]: Simplifying (sqrt k)
1553944513.451 * * [simplify]: iters left: 1 (2 enodes)
1553944513.451 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.451 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944513.451 * * [simplify]: Extracting #2: cost 2 inf + 1
1553944513.451 * * [simplify]: Extracting #3: cost 0 inf + 83
1553944513.451 * [simplify]: Simplified to (sqrt k)
1553944513.451 * [simplify]: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944513.451 * * * * [progress]: [ 46 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944513.451 * * * * [progress]: [ 47 / 109 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553944513.451 * * * * [progress]: [ 48 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944513.451 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944513.452 * * [simplify]: iters left: 6 (16 enodes)
1553944513.456 * * [simplify]: iters left: 5 (64 enodes)
1553944513.471 * * [simplify]: iters left: 4 (126 enodes)
1553944513.524 * * [simplify]: iters left: 3 (320 enodes)
1553944513.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.616 * * [simplify]: Extracting #1: cost 31 inf + 0
1553944513.617 * * [simplify]: Extracting #2: cost 195 inf + 0
1553944513.619 * * [simplify]: Extracting #3: cost 272 inf + 3
1553944513.621 * * [simplify]: Extracting #4: cost 266 inf + 1939
1553944513.627 * * [simplify]: Extracting #5: cost 193 inf + 14692
1553944513.639 * * [simplify]: Extracting #6: cost 96 inf + 39992
1553944513.665 * * [simplify]: Extracting #7: cost 9 inf + 66206
1553944513.694 * * [simplify]: Extracting #8: cost 0 inf + 68825
1553944513.708 * [simplify]: Simplified to (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1553944513.708 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))
1553944513.708 * * * * [progress]: [ 49 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944513.708 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944513.708 * * [simplify]: iters left: 6 (16 enodes)
1553944513.712 * * [simplify]: iters left: 5 (64 enodes)
1553944513.724 * * [simplify]: iters left: 4 (126 enodes)
1553944513.766 * * [simplify]: iters left: 3 (320 enodes)
1553944513.900 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944513.900 * * [simplify]: Extracting #1: cost 31 inf + 0
1553944513.901 * * [simplify]: Extracting #2: cost 195 inf + 0
1553944513.902 * * [simplify]: Extracting #3: cost 272 inf + 3
1553944513.903 * * [simplify]: Extracting #4: cost 266 inf + 1939
1553944513.906 * * [simplify]: Extracting #5: cost 193 inf + 14692
1553944513.912 * * [simplify]: Extracting #6: cost 96 inf + 39992
1553944513.925 * * [simplify]: Extracting #7: cost 9 inf + 66206
1553944513.940 * * [simplify]: Extracting #8: cost 0 inf + 68825
1553944513.960 * [simplify]: Simplified to (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1553944513.960 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))
1553944513.960 * * * * [progress]: [ 50 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944513.960 * [simplify]: Simplifying (- (- (log (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944513.960 * * [simplify]: iters left: 6 (16 enodes)
1553944513.964 * * [simplify]: iters left: 5 (58 enodes)
1553944513.976 * * [simplify]: iters left: 4 (87 enodes)
1553944513.998 * * [simplify]: iters left: 3 (177 enodes)
1553944514.037 * * [simplify]: iters left: 2 (493 enodes)
1553944514.329 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944514.329 * * [simplify]: Extracting #1: cost 66 inf + 0
1553944514.330 * * [simplify]: Extracting #2: cost 264 inf + 0
1553944514.333 * * [simplify]: Extracting #3: cost 358 inf + 73
1553944514.336 * * [simplify]: Extracting #4: cost 327 inf + 5991
1553944514.350 * * [simplify]: Extracting #5: cost 165 inf + 43693
1553944514.782 * * [simplify]: Extracting #6: cost 9 inf + 96500
1553944514.823 * * [simplify]: Extracting #7: cost 0 inf + 100803
1553944514.844 * [simplify]: Simplified to (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* PI (* n 2)))))
1553944514.844 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (+ -1/2 (/ k 2)) (log (* PI (* n 2)))))))
1553944514.844 * * * * [progress]: [ 51 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944514.844 * [simplify]: Simplifying (- (- (log (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944514.844 * * [simplify]: iters left: 6 (17 enodes)
1553944514.849 * * [simplify]: iters left: 5 (65 enodes)
1553944514.869 * * [simplify]: iters left: 4 (86 enodes)
1553944514.881 * * [simplify]: iters left: 3 (119 enodes)
1553944514.905 * * [simplify]: iters left: 2 (220 enodes)
1553944515.017 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944515.017 * * [simplify]: Extracting #1: cost 31 inf + 0
1553944515.017 * * [simplify]: Extracting #2: cost 153 inf + 0
1553944515.018 * * [simplify]: Extracting #3: cost 197 inf + 3
1553944515.019 * * [simplify]: Extracting #4: cost 199 inf + 903
1553944515.024 * * [simplify]: Extracting #5: cost 121 inf + 16175
1553944515.040 * * [simplify]: Extracting #6: cost 9 inf + 46538
1553944515.059 * * [simplify]: Extracting #7: cost 0 inf + 47917
1553944515.070 * * [simplify]: Extracting #8: cost 0 inf + 47777
1553944515.080 * [simplify]: Simplified to (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2)))
1553944515.080 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt k))) (* (log (* (* PI n) 2)) (+ (/ k 2) -1/2)))))
1553944515.080 * * * * [progress]: [ 52 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944515.080 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944515.080 * * [simplify]: iters left: 6 (17 enodes)
1553944515.085 * * [simplify]: iters left: 5 (73 enodes)
1553944515.108 * * [simplify]: iters left: 4 (139 enodes)
1553944515.158 * * [simplify]: iters left: 3 (330 enodes)
1553944515.302 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944515.302 * * [simplify]: Extracting #1: cost 31 inf + 0
1553944515.302 * * [simplify]: Extracting #2: cost 195 inf + 1
1553944515.303 * * [simplify]: Extracting #3: cost 274 inf + 4
1553944515.305 * * [simplify]: Extracting #4: cost 263 inf + 2206
1553944515.308 * * [simplify]: Extracting #5: cost 176 inf + 20029
1553944515.326 * * [simplify]: Extracting #6: cost 30 inf + 58587
1553944515.353 * * [simplify]: Extracting #7: cost 0 inf + 68566
1553944515.380 * [simplify]: Simplified to (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
1553944515.381 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))
1553944515.381 * * * * [progress]: [ 53 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944515.381 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944515.381 * * [simplify]: iters left: 6 (17 enodes)
1553944515.391 * * [simplify]: iters left: 5 (73 enodes)
1553944515.414 * * [simplify]: iters left: 4 (139 enodes)
1553944515.460 * * [simplify]: iters left: 3 (330 enodes)
1553944515.577 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944515.577 * * [simplify]: Extracting #1: cost 31 inf + 0
1553944515.578 * * [simplify]: Extracting #2: cost 195 inf + 1
1553944515.580 * * [simplify]: Extracting #3: cost 274 inf + 4
1553944515.583 * * [simplify]: Extracting #4: cost 263 inf + 2206
1553944515.589 * * [simplify]: Extracting #5: cost 176 inf + 20029
1553944515.608 * * [simplify]: Extracting #6: cost 30 inf + 58587
1553944515.621 * * [simplify]: Extracting #7: cost 0 inf + 68566
1553944515.637 * [simplify]: Simplified to (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))
1553944515.637 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* n (* 2 PI))) (- 1/2 (/ k 2))))))
1553944515.638 * * * * [progress]: [ 54 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944515.638 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944515.638 * * [simplify]: iters left: 6 (17 enodes)
1553944515.643 * * [simplify]: iters left: 5 (67 enodes)
1553944515.656 * * [simplify]: iters left: 4 (100 enodes)
1553944515.688 * * [simplify]: iters left: 3 (190 enodes)
1553944515.744 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944515.744 * * [simplify]: Extracting #1: cost 22 inf + 0
1553944515.745 * * [simplify]: Extracting #2: cost 118 inf + 0
1553944515.746 * * [simplify]: Extracting #3: cost 150 inf + 3
1553944515.747 * * [simplify]: Extracting #4: cost 161 inf + 231
1553944515.748 * * [simplify]: Extracting #5: cost 135 inf + 3087
1553944515.754 * * [simplify]: Extracting #6: cost 54 inf + 20310
1553944515.765 * * [simplify]: Extracting #7: cost 3 inf + 33403
1553944515.774 * * [simplify]: Extracting #8: cost 0 inf + 33245
1553944515.780 * [simplify]: Simplified to (+ (- (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))))
1553944515.781 * [simplify]: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* 2 (* PI n)))))))
1553944515.781 * * * * [progress]: [ 55 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944515.781 * [simplify]: Simplifying (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944515.782 * * [simplify]: iters left: 6 (17 enodes)
1553944515.787 * * [simplify]: iters left: 5 (68 enodes)
1553944515.797 * * [simplify]: iters left: 4 (91 enodes)
1553944515.810 * * [simplify]: iters left: 3 (125 enodes)
1553944515.849 * * [simplify]: iters left: 2 (222 enodes)
1553944515.971 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944515.971 * * [simplify]: Extracting #1: cost 26 inf + 0
1553944515.971 * * [simplify]: Extracting #2: cost 143 inf + 0
1553944515.972 * * [simplify]: Extracting #3: cost 191 inf + 3
1553944515.974 * * [simplify]: Extracting #4: cost 194 inf + 873
1553944515.979 * * [simplify]: Extracting #5: cost 121 inf + 13493
1553944515.987 * * [simplify]: Extracting #6: cost 11 inf + 41932
1553944515.996 * * [simplify]: Extracting #7: cost 0 inf + 45051
1553944516.004 * [simplify]: Simplified to (- (+ (log (sqrt k)) (* (log (* (* n 2) PI)) (+ -1/2 (/ k 2)))))
1553944516.005 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt k)) (* (log (* (* n 2) PI)) (+ -1/2 (/ k 2)))))))
1553944516.005 * * * * [progress]: [ 56 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944516.005 * * * * [progress]: [ 57 / 109 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944516.005 * * * * [progress]: [ 58 / 109 ] 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))))))))>
1553944516.005 * [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))))))
1553944516.005 * * [simplify]: iters left: 6 (19 enodes)
1553944516.010 * * [simplify]: iters left: 5 (86 enodes)
1553944516.027 * * [simplify]: iters left: 4 (166 enodes)
1553944516.084 * * [simplify]: iters left: 3 (481 enodes)
1553944516.822 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944516.823 * * [simplify]: Extracting #1: cost 61 inf + 0
1553944516.829 * * [simplify]: Extracting #2: cost 133 inf + 2
1553944516.830 * * [simplify]: Extracting #3: cost 138 inf + 213
1553944516.831 * * [simplify]: Extracting #4: cost 124 inf + 1446
1553944516.832 * * [simplify]: Extracting #5: cost 106 inf + 3045
1553944516.837 * * [simplify]: Extracting #6: cost 54 inf + 26353
1553944516.853 * * [simplify]: Extracting #7: cost 2 inf + 52258
1553944516.870 * * [simplify]: Extracting #8: cost 0 inf + 53037
1553944516.887 * [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))
1553944516.887 * [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))))
1553944516.887 * * * * [progress]: [ 59 / 109 ] 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))))))))>
1553944516.887 * * * * [progress]: [ 60 / 109 ] 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))))))))>
1553944516.887 * * * * [progress]: [ 61 / 109 ] 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))))))))>
1553944516.887 * * * * [progress]: [ 62 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ 1 (sqrt k))) (- (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944516.887 * * * * [progress]: [ 63 / 109 ] 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))))))))>
1553944516.888 * [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)))))))
1553944516.888 * * [simplify]: iters left: 6 (19 enodes)
1553944516.892 * * [simplify]: iters left: 5 (71 enodes)
1553944516.903 * * [simplify]: iters left: 4 (101 enodes)
1553944516.922 * * [simplify]: iters left: 3 (116 enodes)
1553944516.953 * * [simplify]: iters left: 2 (119 enodes)
1553944516.968 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944516.968 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944516.969 * * [simplify]: Extracting #2: cost 22 inf + 0
1553944516.969 * * [simplify]: Extracting #3: cost 27 inf + 0
1553944516.969 * * [simplify]: Extracting #4: cost 31 inf + 1
1553944516.969 * * [simplify]: Extracting #5: cost 41 inf + 2
1553944516.969 * * [simplify]: Extracting #6: cost 34 inf + 862
1553944516.970 * * [simplify]: Extracting #7: cost 18 inf + 4740
1553944516.971 * * [simplify]: Extracting #8: cost 4 inf + 11548
1553944516.973 * * [simplify]: Extracting #9: cost 0 inf + 14212
1553944516.974 * [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)))))))
1553944516.975 * [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))))))))
1553944516.975 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944516.975 * * [simplify]: iters left: 6 (17 enodes)
1553944516.979 * * [simplify]: iters left: 5 (59 enodes)
1553944516.990 * * [simplify]: iters left: 4 (74 enodes)
1553944517.011 * * [simplify]: iters left: 3 (81 enodes)
1553944517.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.034 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944517.034 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944517.034 * * [simplify]: Extracting #4: cost 17 inf + 1
1553944517.034 * * [simplify]: Extracting #5: cost 27 inf + 2
1553944517.034 * * [simplify]: Extracting #6: cost 20 inf + 783
1553944517.035 * * [simplify]: Extracting #7: cost 9 inf + 1782
1553944517.036 * * [simplify]: Extracting #8: cost 2 inf + 4264
1553944517.037 * * [simplify]: Extracting #9: cost 0 inf + 5456
1553944517.039 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.039 * [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))))))))
1553944517.039 * * * * [progress]: [ 64 / 109 ] 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))))))))>
1553944517.040 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944517.040 * * [simplify]: iters left: 6 (18 enodes)
1553944517.048 * * [simplify]: iters left: 5 (64 enodes)
1553944517.068 * * [simplify]: iters left: 4 (83 enodes)
1553944517.093 * * [simplify]: iters left: 3 (93 enodes)
1553944517.109 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.109 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.109 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944517.109 * * [simplify]: Extracting #3: cost 19 inf + 0
1553944517.109 * * [simplify]: Extracting #4: cost 23 inf + 1
1553944517.110 * * [simplify]: Extracting #5: cost 33 inf + 2
1553944517.110 * * [simplify]: Extracting #6: cost 24 inf + 907
1553944517.110 * * [simplify]: Extracting #7: cost 10 inf + 3433
1553944517.111 * * [simplify]: Extracting #8: cost 2 inf + 7052
1553944517.112 * * [simplify]: Extracting #9: cost 0 inf + 8404
1553944517.113 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (sqrt k)))))
1553944517.113 * [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))))))))
1553944517.114 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944517.114 * * [simplify]: iters left: 6 (17 enodes)
1553944517.118 * * [simplify]: iters left: 5 (59 enodes)
1553944517.126 * * [simplify]: iters left: 4 (74 enodes)
1553944517.136 * * [simplify]: iters left: 3 (81 enodes)
1553944517.148 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.148 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.148 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944517.148 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944517.148 * * [simplify]: Extracting #4: cost 17 inf + 1
1553944517.148 * * [simplify]: Extracting #5: cost 27 inf + 2
1553944517.148 * * [simplify]: Extracting #6: cost 20 inf + 783
1553944517.149 * * [simplify]: Extracting #7: cost 9 inf + 1782
1553944517.150 * * [simplify]: Extracting #8: cost 2 inf + 4184
1553944517.151 * * [simplify]: Extracting #9: cost 0 inf + 5296
1553944517.152 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.153 * [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))))))))
1553944517.153 * * * * [progress]: [ 65 / 109 ] 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)))))))>
1553944517.153 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1)
1553944517.153 * * [simplify]: iters left: 6 (7 enodes)
1553944517.157 * * [simplify]: iters left: 5 (23 enodes)
1553944517.165 * * [simplify]: iters left: 4 (33 enodes)
1553944517.169 * * [simplify]: iters left: 3 (34 enodes)
1553944517.173 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.173 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944517.173 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944517.173 * * [simplify]: Extracting #3: cost 9 inf + 1
1553944517.173 * * [simplify]: Extracting #4: cost 11 inf + 1
1553944517.173 * * [simplify]: Extracting #5: cost 10 inf + 2
1553944517.173 * * [simplify]: Extracting #6: cost 6 inf + 248
1553944517.174 * * [simplify]: Extracting #7: cost 2 inf + 1016
1553944517.174 * * [simplify]: Extracting #8: cost 0 inf + 1380
1553944517.174 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553944517.174 * [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)))))))
1553944517.174 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944517.174 * * [simplify]: iters left: 6 (16 enodes)
1553944517.178 * * [simplify]: iters left: 5 (58 enodes)
1553944517.187 * * [simplify]: iters left: 4 (74 enodes)
1553944517.201 * * [simplify]: iters left: 3 (88 enodes)
1553944517.223 * * [simplify]: iters left: 2 (89 enodes)
1553944517.234 * * [simplify]: iters left: 1 (91 enodes)
1553944517.248 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.248 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.248 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944517.248 * * [simplify]: Extracting #3: cost 26 inf + 1
1553944517.248 * * [simplify]: Extracting #4: cost 30 inf + 5
1553944517.248 * * [simplify]: Extracting #5: cost 23 inf + 340
1553944517.249 * * [simplify]: Extracting #6: cost 9 inf + 1900
1553944517.249 * * [simplify]: Extracting #7: cost 2 inf + 3636
1553944517.250 * * [simplify]: Extracting #8: cost 0 inf + 4628
1553944517.251 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944517.251 * [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))))))
1553944517.251 * * * * [progress]: [ 66 / 109 ] 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)))))))>
1553944517.251 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1)
1553944517.251 * * [simplify]: iters left: 6 (7 enodes)
1553944517.253 * * [simplify]: iters left: 5 (23 enodes)
1553944517.261 * * [simplify]: iters left: 4 (33 enodes)
1553944517.272 * * [simplify]: iters left: 3 (34 enodes)
1553944517.276 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.276 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944517.276 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944517.276 * * [simplify]: Extracting #3: cost 9 inf + 1
1553944517.276 * * [simplify]: Extracting #4: cost 11 inf + 1
1553944517.277 * * [simplify]: Extracting #5: cost 10 inf + 2
1553944517.277 * * [simplify]: Extracting #6: cost 6 inf + 248
1553944517.277 * * [simplify]: Extracting #7: cost 2 inf + 1016
1553944517.277 * * [simplify]: Extracting #8: cost 0 inf + 1380
1553944517.277 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553944517.277 * [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)))))))
1553944517.277 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944517.278 * * [simplify]: iters left: 6 (16 enodes)
1553944517.282 * * [simplify]: iters left: 5 (58 enodes)
1553944517.290 * * [simplify]: iters left: 4 (74 enodes)
1553944517.301 * * [simplify]: iters left: 3 (88 enodes)
1553944517.312 * * [simplify]: iters left: 2 (89 enodes)
1553944517.323 * * [simplify]: iters left: 1 (91 enodes)
1553944517.336 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.336 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.336 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944517.336 * * [simplify]: Extracting #3: cost 26 inf + 1
1553944517.336 * * [simplify]: Extracting #4: cost 30 inf + 5
1553944517.336 * * [simplify]: Extracting #5: cost 23 inf + 340
1553944517.336 * * [simplify]: Extracting #6: cost 9 inf + 1900
1553944517.337 * * [simplify]: Extracting #7: cost 2 inf + 3636
1553944517.338 * * [simplify]: Extracting #8: cost 0 inf + 4628
1553944517.339 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944517.339 * [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))))))
1553944517.339 * * * * [progress]: [ 67 / 109 ] 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)))))>
1553944517.339 * [simplify]: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944517.339 * * [simplify]: iters left: 6 (15 enodes)
1553944517.343 * * [simplify]: iters left: 5 (56 enodes)
1553944517.352 * * [simplify]: iters left: 4 (75 enodes)
1553944517.363 * * [simplify]: iters left: 3 (108 enodes)
1553944517.380 * * [simplify]: iters left: 2 (121 enodes)
1553944517.396 * * [simplify]: iters left: 1 (152 enodes)
1553944517.443 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.443 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944517.443 * * [simplify]: Extracting #2: cost 21 inf + 1
1553944517.443 * * [simplify]: Extracting #3: cost 29 inf + 2
1553944517.444 * * [simplify]: Extracting #4: cost 30 inf + 47
1553944517.444 * * [simplify]: Extracting #5: cost 21 inf + 669
1553944517.445 * * [simplify]: Extracting #6: cost 11 inf + 2093
1553944517.446 * * [simplify]: Extracting #7: cost 2 inf + 4363
1553944517.447 * * [simplify]: Extracting #8: cost 0 inf + 4970
1553944517.449 * [simplify]: Simplified to (* (sqrt (* PI (* 2 n))) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))))
1553944517.449 * [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)))))
1553944517.449 * [simplify]: Simplifying (/ (cbrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1553944517.449 * * [simplify]: iters left: 6 (13 enodes)
1553944517.453 * * [simplify]: iters left: 5 (45 enodes)
1553944517.460 * * [simplify]: iters left: 4 (55 enodes)
1553944517.469 * * [simplify]: iters left: 3 (60 enodes)
1553944517.479 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.479 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.479 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944517.479 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944517.479 * * [simplify]: Extracting #4: cost 18 inf + 89
1553944517.480 * * [simplify]: Extracting #5: cost 7 inf + 750
1553944517.480 * * [simplify]: Extracting #6: cost 1 inf + 2280
1553944517.481 * * [simplify]: Extracting #7: cost 0 inf + 2815
1553944517.482 * [simplify]: Simplified to (/ (cbrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))
1553944517.482 * [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)))))
1553944517.482 * * * * [progress]: [ 68 / 109 ] 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))))))))>
1553944517.482 * [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)))))))
1553944517.483 * * [simplify]: iters left: 6 (18 enodes)
1553944517.491 * * [simplify]: iters left: 5 (64 enodes)
1553944517.503 * * [simplify]: iters left: 4 (81 enodes)
1553944517.514 * * [simplify]: iters left: 3 (88 enodes)
1553944517.528 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.528 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944517.528 * * [simplify]: Extracting #2: cost 12 inf + 0
1553944517.528 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944517.528 * * [simplify]: Extracting #4: cost 21 inf + 1
1553944517.529 * * [simplify]: Extracting #5: cost 31 inf + 2
1553944517.529 * * [simplify]: Extracting #6: cost 22 inf + 1081
1553944517.530 * * [simplify]: Extracting #7: cost 7 inf + 4063
1553944517.532 * * [simplify]: Extracting #8: cost 1 inf + 7064
1553944517.533 * * [simplify]: Extracting #9: cost 0 inf + 7760
1553944517.535 * [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))))))
1553944517.536 * [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))))))))
1553944517.536 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944517.536 * * [simplify]: iters left: 6 (17 enodes)
1553944517.544 * * [simplify]: iters left: 5 (59 enodes)
1553944517.555 * * [simplify]: iters left: 4 (74 enodes)
1553944517.565 * * [simplify]: iters left: 3 (81 enodes)
1553944517.576 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.576 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.576 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944517.576 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944517.576 * * [simplify]: Extracting #4: cost 17 inf + 1
1553944517.576 * * [simplify]: Extracting #5: cost 27 inf + 2
1553944517.577 * * [simplify]: Extracting #6: cost 20 inf + 703
1553944517.577 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553944517.578 * * [simplify]: Extracting #8: cost 2 inf + 4144
1553944517.580 * * [simplify]: Extracting #9: cost 0 inf + 5296
1553944517.581 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.581 * [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))))))))
1553944517.581 * * * * [progress]: [ 69 / 109 ] 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))))))))>
1553944517.582 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944517.582 * * [simplify]: iters left: 6 (17 enodes)
1553944517.590 * * [simplify]: iters left: 5 (59 enodes)
1553944517.608 * * [simplify]: iters left: 4 (74 enodes)
1553944517.631 * * [simplify]: iters left: 3 (81 enodes)
1553944517.644 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.644 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.644 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944517.644 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944517.644 * * [simplify]: Extracting #4: cost 17 inf + 1
1553944517.644 * * [simplify]: Extracting #5: cost 27 inf + 2
1553944517.645 * * [simplify]: Extracting #6: cost 20 inf + 703
1553944517.645 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553944517.646 * * [simplify]: Extracting #8: cost 2 inf + 4064
1553944517.646 * * [simplify]: Extracting #9: cost 0 inf + 5136
1553944517.647 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.647 * [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))))))))
1553944517.647 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944517.647 * * [simplify]: iters left: 6 (17 enodes)
1553944517.652 * * [simplify]: iters left: 5 (59 enodes)
1553944517.660 * * [simplify]: iters left: 4 (74 enodes)
1553944517.681 * * [simplify]: iters left: 3 (81 enodes)
1553944517.697 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.698 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.698 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944517.698 * * [simplify]: Extracting #3: cost 13 inf + 0
1553944517.698 * * [simplify]: Extracting #4: cost 17 inf + 1
1553944517.698 * * [simplify]: Extracting #5: cost 27 inf + 2
1553944517.698 * * [simplify]: Extracting #6: cost 20 inf + 703
1553944517.698 * * [simplify]: Extracting #7: cost 9 inf + 1702
1553944517.699 * * [simplify]: Extracting #8: cost 2 inf + 4064
1553944517.699 * * [simplify]: Extracting #9: cost 0 inf + 5136
1553944517.700 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.700 * [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))))))))
1553944517.700 * * * * [progress]: [ 70 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944517.700 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1)
1553944517.701 * * [simplify]: iters left: 6 (6 enodes)
1553944517.702 * * [simplify]: iters left: 5 (18 enodes)
1553944517.705 * * [simplify]: iters left: 4 (20 enodes)
1553944517.708 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.708 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.708 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944517.708 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944517.708 * * [simplify]: Extracting #4: cost 0 inf + 492
1553944517.708 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553944517.708 * [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)))))))
1553944517.708 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944517.708 * * [simplify]: iters left: 6 (16 enodes)
1553944517.712 * * [simplify]: iters left: 5 (58 enodes)
1553944517.721 * * [simplify]: iters left: 4 (74 enodes)
1553944517.745 * * [simplify]: iters left: 3 (88 enodes)
1553944517.767 * * [simplify]: iters left: 2 (89 enodes)
1553944517.787 * * [simplify]: iters left: 1 (91 enodes)
1553944517.799 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.799 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.799 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944517.799 * * [simplify]: Extracting #3: cost 26 inf + 1
1553944517.799 * * [simplify]: Extracting #4: cost 30 inf + 5
1553944517.799 * * [simplify]: Extracting #5: cost 23 inf + 340
1553944517.799 * * [simplify]: Extracting #6: cost 9 inf + 1780
1553944517.800 * * [simplify]: Extracting #7: cost 2 inf + 3436
1553944517.801 * * [simplify]: Extracting #8: cost 0 inf + 4388
1553944517.802 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944517.802 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.802 * * * * [progress]: [ 71 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) 1) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944517.802 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1)
1553944517.802 * * [simplify]: iters left: 6 (6 enodes)
1553944517.804 * * [simplify]: iters left: 5 (18 enodes)
1553944517.807 * * [simplify]: iters left: 4 (20 enodes)
1553944517.810 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.810 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944517.810 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944517.810 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944517.810 * * [simplify]: Extracting #4: cost 0 inf + 492
1553944517.810 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553944517.810 * [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)))))))
1553944517.810 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944517.811 * * [simplify]: iters left: 6 (16 enodes)
1553944517.816 * * [simplify]: iters left: 5 (58 enodes)
1553944517.833 * * [simplify]: iters left: 4 (74 enodes)
1553944517.855 * * [simplify]: iters left: 3 (88 enodes)
1553944517.880 * * [simplify]: iters left: 2 (89 enodes)
1553944517.902 * * [simplify]: iters left: 1 (91 enodes)
1553944517.924 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.924 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.924 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944517.924 * * [simplify]: Extracting #3: cost 26 inf + 1
1553944517.924 * * [simplify]: Extracting #4: cost 30 inf + 5
1553944517.925 * * [simplify]: Extracting #5: cost 23 inf + 340
1553944517.925 * * [simplify]: Extracting #6: cost 9 inf + 1780
1553944517.927 * * [simplify]: Extracting #7: cost 2 inf + 3436
1553944517.928 * * [simplify]: Extracting #8: cost 0 inf + 4388
1553944517.930 * [simplify]: Simplified to (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944517.930 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944517.930 * * * * [progress]: [ 72 / 109 ] 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)))))>
1553944517.931 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944517.931 * * [simplify]: iters left: 6 (14 enodes)
1553944517.936 * * [simplify]: iters left: 5 (51 enodes)
1553944517.944 * * [simplify]: iters left: 4 (62 enodes)
1553944517.954 * * [simplify]: iters left: 3 (74 enodes)
1553944517.965 * * [simplify]: iters left: 2 (75 enodes)
1553944517.980 * * [simplify]: iters left: 1 (77 enodes)
1553944517.991 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944517.991 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944517.991 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944517.991 * * [simplify]: Extracting #3: cost 21 inf + 2
1553944517.991 * * [simplify]: Extracting #4: cost 23 inf + 5
1553944517.991 * * [simplify]: Extracting #5: cost 17 inf + 257
1553944517.992 * * [simplify]: Extracting #6: cost 5 inf + 1487
1553944517.992 * * [simplify]: Extracting #7: cost 0 inf + 2382
1553944517.993 * [simplify]: Simplified to (* (sqrt (* (* n 2) PI)) (sqrt (/ 1 (sqrt k))))
1553944517.993 * [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)))))
1553944517.993 * [simplify]: Simplifying (/ (sqrt (/ 1 (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1553944517.993 * * [simplify]: iters left: 6 (13 enodes)
1553944517.997 * * [simplify]: iters left: 5 (45 enodes)
1553944518.004 * * [simplify]: iters left: 4 (55 enodes)
1553944518.019 * * [simplify]: iters left: 3 (60 enodes)
1553944518.034 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.034 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944518.034 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944518.034 * * [simplify]: Extracting #3: cost 21 inf + 0
1553944518.034 * * [simplify]: Extracting #4: cost 18 inf + 89
1553944518.035 * * [simplify]: Extracting #5: cost 7 inf + 710
1553944518.035 * * [simplify]: Extracting #6: cost 1 inf + 2160
1553944518.036 * * [simplify]: Extracting #7: cost 0 inf + 2655
1553944518.037 * [simplify]: Simplified to (/ (sqrt (/ 1 (sqrt k))) (pow (* (* PI n) 2) (/ k 2)))
1553944518.037 * [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)))))
1553944518.037 * * * * [progress]: [ 73 / 109 ] 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))))))))>
1553944518.037 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.038 * * [simplify]: iters left: 6 (15 enodes)
1553944518.045 * * [simplify]: iters left: 5 (55 enodes)
1553944518.062 * * [simplify]: iters left: 4 (72 enodes)
1553944518.082 * * [simplify]: iters left: 3 (79 enodes)
1553944518.098 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.098 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944518.098 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944518.098 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944518.098 * * [simplify]: Extracting #4: cost 14 inf + 1
1553944518.098 * * [simplify]: Extracting #5: cost 25 inf + 1
1553944518.098 * * [simplify]: Extracting #6: cost 28 inf + 5
1553944518.098 * * [simplify]: Extracting #7: cost 17 inf + 549
1553944518.099 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553944518.099 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553944518.100 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944518.100 * [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))))))))
1553944518.101 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.101 * * [simplify]: iters left: 6 (16 enodes)
1553944518.105 * * [simplify]: iters left: 5 (58 enodes)
1553944518.116 * * [simplify]: iters left: 4 (78 enodes)
1553944518.134 * * [simplify]: iters left: 3 (87 enodes)
1553944518.157 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.157 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.157 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944518.157 * * [simplify]: Extracting #3: cost 15 inf + 2
1553944518.157 * * [simplify]: Extracting #4: cost 15 inf + 166
1553944518.157 * * [simplify]: Extracting #5: cost 25 inf + 248
1553944518.158 * * [simplify]: Extracting #6: cost 27 inf + 252
1553944518.158 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553944518.159 * * [simplify]: Extracting #8: cost 5 inf + 4436
1553944518.161 * * [simplify]: Extracting #9: cost 0 inf + 7196
1553944518.163 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553944518.163 * [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))))))))
1553944518.164 * * * * [progress]: [ 74 / 109 ] 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))))))))>
1553944518.164 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.164 * * [simplify]: iters left: 6 (14 enodes)
1553944518.171 * * [simplify]: iters left: 5 (50 enodes)
1553944518.186 * * [simplify]: iters left: 4 (65 enodes)
1553944518.195 * * [simplify]: iters left: 3 (72 enodes)
1553944518.204 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.204 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944518.204 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944518.204 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944518.204 * * [simplify]: Extracting #4: cost 10 inf + 1
1553944518.204 * * [simplify]: Extracting #5: cost 21 inf + 1
1553944518.204 * * [simplify]: Extracting #6: cost 20 inf + 214
1553944518.205 * * [simplify]: Extracting #7: cost 13 inf + 590
1553944518.205 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553944518.206 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553944518.206 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553944518.206 * [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))))))))
1553944518.207 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.207 * * [simplify]: iters left: 6 (16 enodes)
1553944518.211 * * [simplify]: iters left: 5 (58 enodes)
1553944518.229 * * [simplify]: iters left: 4 (78 enodes)
1553944518.250 * * [simplify]: iters left: 3 (87 enodes)
1553944518.274 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.274 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.274 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944518.274 * * [simplify]: Extracting #3: cost 15 inf + 2
1553944518.274 * * [simplify]: Extracting #4: cost 15 inf + 166
1553944518.274 * * [simplify]: Extracting #5: cost 25 inf + 248
1553944518.275 * * [simplify]: Extracting #6: cost 27 inf + 252
1553944518.275 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553944518.276 * * [simplify]: Extracting #8: cost 5 inf + 4316
1553944518.278 * * [simplify]: Extracting #9: cost 0 inf + 6876
1553944518.280 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553944518.280 * [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))))))))
1553944518.280 * * * * [progress]: [ 75 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944518.280 * [simplify]: Simplifying (/ 1 1)
1553944518.281 * * [simplify]: iters left: 2 (2 enodes)
1553944518.282 * * [simplify]: iters left: 1 (6 enodes)
1553944518.284 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.284 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944518.284 * [simplify]: Simplified to 1
1553944518.284 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.284 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944518.285 * * [simplify]: iters left: 6 (15 enodes)
1553944518.292 * * [simplify]: iters left: 5 (57 enodes)
1553944518.308 * * [simplify]: iters left: 4 (81 enodes)
1553944518.330 * * [simplify]: iters left: 3 (96 enodes)
1553944518.356 * * [simplify]: iters left: 2 (137 enodes)
1553944518.394 * * [simplify]: iters left: 1 (147 enodes)
1553944518.414 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.414 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.414 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944518.414 * * [simplify]: Extracting #3: cost 25 inf + 2
1553944518.415 * * [simplify]: Extracting #4: cost 22 inf + 294
1553944518.415 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553944518.416 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553944518.417 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553944518.418 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553944518.418 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553944518.418 * * * * [progress]: [ 76 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944518.418 * [simplify]: Simplifying (/ 1 1)
1553944518.418 * * [simplify]: iters left: 2 (2 enodes)
1553944518.419 * * [simplify]: iters left: 1 (6 enodes)
1553944518.420 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.420 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944518.420 * [simplify]: Simplified to 1
1553944518.420 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.420 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944518.421 * * [simplify]: iters left: 6 (15 enodes)
1553944518.425 * * [simplify]: iters left: 5 (57 enodes)
1553944518.437 * * [simplify]: iters left: 4 (81 enodes)
1553944518.459 * * [simplify]: iters left: 3 (96 enodes)
1553944518.477 * * [simplify]: iters left: 2 (137 enodes)
1553944518.501 * * [simplify]: iters left: 1 (147 enodes)
1553944518.538 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.538 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.538 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944518.538 * * [simplify]: Extracting #3: cost 25 inf + 2
1553944518.538 * * [simplify]: Extracting #4: cost 22 inf + 294
1553944518.539 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553944518.541 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553944518.543 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553944518.545 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553944518.545 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553944518.545 * * * * [progress]: [ 77 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))>
1553944518.545 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944518.545 * * [simplify]: iters left: 6 (10 enodes)
1553944518.552 * * [simplify]: iters left: 5 (37 enodes)
1553944518.563 * * [simplify]: iters left: 4 (48 enodes)
1553944518.577 * * [simplify]: iters left: 3 (57 enodes)
1553944518.592 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.592 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944518.592 * * [simplify]: Extracting #2: cost 12 inf + 2
1553944518.592 * * [simplify]: Extracting #3: cost 7 inf + 337
1553944518.593 * * [simplify]: Extracting #4: cost 0 inf + 997
1553944518.593 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553944518.593 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))
1553944518.594 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))
1553944518.594 * * [simplify]: iters left: 6 (12 enodes)
1553944518.600 * * [simplify]: iters left: 5 (44 enodes)
1553944518.616 * * [simplify]: iters left: 4 (59 enodes)
1553944518.633 * * [simplify]: iters left: 3 (66 enodes)
1553944518.649 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.649 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.649 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944518.649 * * [simplify]: Extracting #3: cost 22 inf + 2
1553944518.649 * * [simplify]: Extracting #4: cost 17 inf + 293
1553944518.650 * * [simplify]: Extracting #5: cost 8 inf + 753
1553944518.651 * * [simplify]: Extracting #6: cost 3 inf + 2786
1553944518.651 * * [simplify]: Extracting #7: cost 0 inf + 3909
1553944518.652 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))
1553944518.653 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))))
1553944518.653 * * * * [progress]: [ 78 / 109 ] 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))))))))>
1553944518.653 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.653 * * [simplify]: iters left: 6 (15 enodes)
1553944518.660 * * [simplify]: iters left: 5 (55 enodes)
1553944518.677 * * [simplify]: iters left: 4 (72 enodes)
1553944518.698 * * [simplify]: iters left: 3 (79 enodes)
1553944518.712 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.712 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944518.712 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944518.712 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944518.712 * * [simplify]: Extracting #4: cost 14 inf + 1
1553944518.712 * * [simplify]: Extracting #5: cost 25 inf + 1
1553944518.713 * * [simplify]: Extracting #6: cost 28 inf + 5
1553944518.713 * * [simplify]: Extracting #7: cost 17 inf + 549
1553944518.713 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553944518.714 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553944518.715 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944518.715 * [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))))))))
1553944518.715 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.715 * * [simplify]: iters left: 6 (16 enodes)
1553944518.719 * * [simplify]: iters left: 5 (58 enodes)
1553944518.728 * * [simplify]: iters left: 4 (78 enodes)
1553944518.747 * * [simplify]: iters left: 3 (87 enodes)
1553944518.759 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.759 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.759 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944518.759 * * [simplify]: Extracting #3: cost 15 inf + 2
1553944518.759 * * [simplify]: Extracting #4: cost 15 inf + 166
1553944518.759 * * [simplify]: Extracting #5: cost 25 inf + 248
1553944518.759 * * [simplify]: Extracting #6: cost 27 inf + 252
1553944518.760 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553944518.760 * * [simplify]: Extracting #8: cost 5 inf + 4436
1553944518.761 * * [simplify]: Extracting #9: cost 0 inf + 7196
1553944518.762 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553944518.762 * [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))))))))
1553944518.762 * * * * [progress]: [ 79 / 109 ] 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))))))))>
1553944518.763 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.763 * * [simplify]: iters left: 6 (14 enodes)
1553944518.766 * * [simplify]: iters left: 5 (50 enodes)
1553944518.774 * * [simplify]: iters left: 4 (65 enodes)
1553944518.783 * * [simplify]: iters left: 3 (72 enodes)
1553944518.792 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.792 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944518.793 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944518.793 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944518.793 * * [simplify]: Extracting #4: cost 10 inf + 1
1553944518.793 * * [simplify]: Extracting #5: cost 21 inf + 1
1553944518.793 * * [simplify]: Extracting #6: cost 20 inf + 214
1553944518.793 * * [simplify]: Extracting #7: cost 13 inf + 590
1553944518.793 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553944518.794 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553944518.795 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553944518.795 * [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))))))))
1553944518.795 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944518.795 * * [simplify]: iters left: 6 (16 enodes)
1553944518.799 * * [simplify]: iters left: 5 (58 enodes)
1553944518.809 * * [simplify]: iters left: 4 (78 enodes)
1553944518.821 * * [simplify]: iters left: 3 (87 enodes)
1553944518.839 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.839 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.839 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944518.840 * * [simplify]: Extracting #3: cost 15 inf + 2
1553944518.840 * * [simplify]: Extracting #4: cost 15 inf + 166
1553944518.840 * * [simplify]: Extracting #5: cost 25 inf + 248
1553944518.840 * * [simplify]: Extracting #6: cost 27 inf + 252
1553944518.841 * * [simplify]: Extracting #7: cost 13 inf + 1750
1553944518.842 * * [simplify]: Extracting #8: cost 5 inf + 4316
1553944518.844 * * [simplify]: Extracting #9: cost 0 inf + 6876
1553944518.846 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))
1553944518.846 * [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))))))))
1553944518.846 * * * * [progress]: [ 80 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944518.846 * [simplify]: Simplifying (/ 1 1)
1553944518.846 * * [simplify]: iters left: 2 (2 enodes)
1553944518.848 * * [simplify]: iters left: 1 (6 enodes)
1553944518.850 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.850 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944518.850 * [simplify]: Simplified to 1
1553944518.850 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.850 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944518.851 * * [simplify]: iters left: 6 (15 enodes)
1553944518.859 * * [simplify]: iters left: 5 (57 enodes)
1553944518.876 * * [simplify]: iters left: 4 (81 enodes)
1553944518.899 * * [simplify]: iters left: 3 (96 enodes)
1553944518.928 * * [simplify]: iters left: 2 (137 enodes)
1553944518.968 * * [simplify]: iters left: 1 (147 enodes)
1553944518.987 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.987 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944518.987 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944518.987 * * [simplify]: Extracting #3: cost 25 inf + 2
1553944518.988 * * [simplify]: Extracting #4: cost 22 inf + 294
1553944518.988 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553944518.989 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553944518.990 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553944518.991 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553944518.991 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553944518.991 * * * * [progress]: [ 81 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944518.991 * [simplify]: Simplifying (/ 1 1)
1553944518.991 * * [simplify]: iters left: 2 (2 enodes)
1553944518.992 * * [simplify]: iters left: 1 (6 enodes)
1553944518.993 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944518.993 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944518.993 * [simplify]: Simplified to 1
1553944518.993 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944518.993 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944518.993 * * [simplify]: iters left: 6 (15 enodes)
1553944518.997 * * [simplify]: iters left: 5 (57 enodes)
1553944519.006 * * [simplify]: iters left: 4 (81 enodes)
1553944519.031 * * [simplify]: iters left: 3 (96 enodes)
1553944519.060 * * [simplify]: iters left: 2 (137 enodes)
1553944519.100 * * [simplify]: iters left: 1 (147 enodes)
1553944519.133 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.133 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944519.133 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944519.133 * * [simplify]: Extracting #3: cost 25 inf + 2
1553944519.134 * * [simplify]: Extracting #4: cost 22 inf + 294
1553944519.134 * * [simplify]: Extracting #5: cost 10 inf + 1961
1553944519.136 * * [simplify]: Extracting #6: cost 1 inf + 4113
1553944519.138 * * [simplify]: Extracting #7: cost 0 inf + 4568
1553944519.140 * [simplify]: Simplified to (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))
1553944519.140 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (- 1/2 (/ k 2))) (sqrt k))))
1553944519.140 * * * * [progress]: [ 82 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))>
1553944519.140 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944519.140 * * [simplify]: iters left: 6 (10 enodes)
1553944519.144 * * [simplify]: iters left: 5 (37 enodes)
1553944519.149 * * [simplify]: iters left: 4 (48 enodes)
1553944519.156 * * [simplify]: iters left: 3 (57 enodes)
1553944519.163 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.163 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944519.163 * * [simplify]: Extracting #2: cost 12 inf + 2
1553944519.163 * * [simplify]: Extracting #3: cost 7 inf + 337
1553944519.163 * * [simplify]: Extracting #4: cost 0 inf + 997
1553944519.164 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553944519.164 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))))
1553944519.164 * [simplify]: Simplifying (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2)))
1553944519.164 * * [simplify]: iters left: 6 (12 enodes)
1553944519.167 * * [simplify]: iters left: 5 (44 enodes)
1553944519.174 * * [simplify]: iters left: 4 (59 enodes)
1553944519.192 * * [simplify]: iters left: 3 (66 enodes)
1553944519.207 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.207 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944519.207 * * [simplify]: Extracting #2: cost 15 inf + 1
1553944519.207 * * [simplify]: Extracting #3: cost 22 inf + 2
1553944519.208 * * [simplify]: Extracting #4: cost 17 inf + 293
1553944519.208 * * [simplify]: Extracting #5: cost 8 inf + 753
1553944519.208 * * [simplify]: Extracting #6: cost 3 inf + 2786
1553944519.209 * * [simplify]: Extracting #7: cost 0 inf + 3909
1553944519.209 * [simplify]: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))
1553944519.209 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ k 2)))))
1553944519.209 * * * * [progress]: [ 83 / 109 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944519.209 * * * * [progress]: [ 84 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944519.209 * * * * [progress]: [ 85 / 109 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553944519.209 * * * * [progress]: [ 86 / 109 ] 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)))))))>
1553944519.210 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944519.210 * * [simplify]: iters left: 6 (13 enodes)
1553944519.213 * * [simplify]: iters left: 5 (47 enodes)
1553944519.220 * * [simplify]: iters left: 4 (62 enodes)
1553944519.229 * * [simplify]: iters left: 3 (69 enodes)
1553944519.243 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.243 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944519.243 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944519.243 * * [simplify]: Extracting #3: cost 8 inf + 1
1553944519.243 * * [simplify]: Extracting #4: cost 19 inf + 1
1553944519.243 * * [simplify]: Extracting #5: cost 17 inf + 297
1553944519.244 * * [simplify]: Extracting #6: cost 10 inf + 632
1553944519.245 * * [simplify]: Extracting #7: cost 2 inf + 2996
1553944519.246 * * [simplify]: Extracting #8: cost 0 inf + 3494
1553944519.247 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553944519.247 * [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)))))))
1553944519.247 * * * * [progress]: [ 87 / 109 ] 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)))))))>
1553944519.247 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944519.247 * * [simplify]: iters left: 6 (13 enodes)
1553944519.254 * * [simplify]: iters left: 5 (47 enodes)
1553944519.269 * * [simplify]: iters left: 4 (62 enodes)
1553944519.288 * * [simplify]: iters left: 3 (69 enodes)
1553944519.306 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.306 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944519.306 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944519.306 * * [simplify]: Extracting #3: cost 8 inf + 1
1553944519.306 * * [simplify]: Extracting #4: cost 19 inf + 1
1553944519.306 * * [simplify]: Extracting #5: cost 17 inf + 297
1553944519.306 * * [simplify]: Extracting #6: cost 10 inf + 632
1553944519.306 * * [simplify]: Extracting #7: cost 2 inf + 2916
1553944519.307 * * [simplify]: Extracting #8: cost 0 inf + 3414
1553944519.308 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553944519.308 * [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)))))))
1553944519.308 * * * * [progress]: [ 88 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944519.308 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944519.308 * * [simplify]: iters left: 6 (12 enodes)
1553944519.312 * * [simplify]: iters left: 5 (44 enodes)
1553944519.319 * * [simplify]: iters left: 4 (59 enodes)
1553944519.328 * * [simplify]: iters left: 3 (66 enodes)
1553944519.336 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.336 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944519.336 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944519.336 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944519.337 * * [simplify]: Extracting #4: cost 15 inf + 297
1553944519.337 * * [simplify]: Extracting #5: cost 8 inf + 673
1553944519.337 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553944519.338 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553944519.338 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944519.338 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944519.338 * * * * [progress]: [ 89 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944519.338 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944519.338 * * [simplify]: iters left: 6 (12 enodes)
1553944519.342 * * [simplify]: iters left: 5 (44 enodes)
1553944519.348 * * [simplify]: iters left: 4 (59 enodes)
1553944519.365 * * [simplify]: iters left: 3 (66 enodes)
1553944519.377 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.377 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944519.377 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944519.377 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944519.378 * * [simplify]: Extracting #4: cost 15 inf + 297
1553944519.378 * * [simplify]: Extracting #5: cost 8 inf + 673
1553944519.378 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553944519.378 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553944519.379 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944519.379 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944519.379 * * * * [progress]: [ 90 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553944519.379 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944519.379 * * [simplify]: iters left: 5 (8 enodes)
1553944519.381 * * [simplify]: iters left: 4 (28 enodes)
1553944519.385 * * [simplify]: iters left: 3 (36 enodes)
1553944519.392 * * [simplify]: iters left: 2 (41 enodes)
1553944519.401 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.402 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944519.402 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944519.402 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944519.402 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944519.402 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944519.403 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944519.403 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))
1553944519.403 * * * * [progress]: [ 91 / 109 ] 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))))))>
1553944519.403 * [simplify]: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553944519.403 * * [simplify]: iters left: 6 (6 enodes)
1553944519.408 * * [simplify]: iters left: 5 (20 enodes)
1553944519.414 * * [simplify]: iters left: 4 (22 enodes)
1553944519.417 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.417 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944519.417 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944519.417 * * [simplify]: Extracting #3: cost 8 inf + 0
1553944519.417 * * [simplify]: Extracting #4: cost 9 inf + 1
1553944519.417 * * [simplify]: Extracting #5: cost 8 inf + 2
1553944519.418 * * [simplify]: Extracting #6: cost 1 inf + 774
1553944519.418 * * [simplify]: Extracting #7: cost 0 inf + 976
1553944519.418 * [simplify]: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1553944519.418 * [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))))))
1553944519.418 * * * * [progress]: [ 92 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k))))))>
1553944519.418 * [simplify]: Simplifying (sqrt (/ 1 (sqrt k)))
1553944519.418 * * [simplify]: iters left: 4 (5 enodes)
1553944519.420 * * [simplify]: iters left: 3 (17 enodes)
1553944519.423 * * [simplify]: iters left: 2 (19 enodes)
1553944519.425 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.425 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944519.425 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944519.425 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944519.425 * * [simplify]: Extracting #4: cost 0 inf + 492
1553944519.425 * [simplify]: Simplified to (sqrt (/ 1 (sqrt k)))
1553944519.426 * [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))))))
1553944519.426 * * * * [progress]: [ 93 / 109 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553944519.426 * * * * [progress]: [ 94 / 109 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))))>
1553944519.426 * * * * [progress]: [ 95 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553944519.426 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944519.426 * * [simplify]: iters left: 5 (10 enodes)
1553944519.428 * * [simplify]: iters left: 4 (36 enodes)
1553944519.434 * * [simplify]: iters left: 3 (49 enodes)
1553944519.441 * * [simplify]: iters left: 2 (56 enodes)
1553944519.448 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.448 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944519.448 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944519.448 * * [simplify]: Extracting #3: cost 18 inf + 4
1553944519.448 * * [simplify]: Extracting #4: cost 7 inf + 630
1553944519.449 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553944519.449 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944519.449 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944519.449 * * * * [progress]: [ 96 / 109 ] simplifiying candidate #<alt (λ (k n) (/ 1 (* (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
1553944519.449 * * * * [progress]: [ 97 / 109 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944519.449 * * * * [progress]: [ 98 / 109 ] 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))))))))>
1553944519.449 * [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)))))
1553944519.450 * * [simplify]: iters left: 6 (37 enodes)
1553944519.460 * * [simplify]: iters left: 5 (179 enodes)
1553944519.503 * * [simplify]: iters left: 4 (458 enodes)
1553944519.713 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944519.713 * * [simplify]: Extracting #1: cost 57 inf + 0
1553944519.714 * * [simplify]: Extracting #2: cost 287 inf + 0
1553944519.717 * * [simplify]: Extracting #3: cost 485 inf + 158
1553944519.722 * * [simplify]: Extracting #4: cost 473 inf + 4949
1553944519.738 * * [simplify]: Extracting #5: cost 294 inf + 68227
1553944519.784 * * [simplify]: Extracting #6: cost 43 inf + 204764
1553944519.855 * * [simplify]: Extracting #7: cost 0 inf + 227627
1553944519.927 * * [simplify]: Extracting #8: cost 0 inf + 222950
1553944519.997 * * [simplify]: Extracting #9: cost 0 inf + 222310
1553944520.094 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1553944520.094 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))))))
1553944520.095 * * * * [progress]: [ 99 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553944520.095 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553944520.095 * * [simplify]: iters left: 6 (15 enodes)
1553944520.104 * * [simplify]: iters left: 5 (63 enodes)
1553944520.126 * * [simplify]: iters left: 4 (108 enodes)
1553944520.151 * * [simplify]: iters left: 3 (260 enodes)
1553944520.275 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944520.275 * * [simplify]: Extracting #1: cost 17 inf + 0
1553944520.275 * * [simplify]: Extracting #2: cost 115 inf + 0
1553944520.276 * * [simplify]: Extracting #3: cost 221 inf + 4
1553944520.278 * * [simplify]: Extracting #4: cost 174 inf + 5827
1553944520.283 * * [simplify]: Extracting #5: cost 46 inf + 35251
1553944520.292 * * [simplify]: Extracting #6: cost 0 inf + 47711
1553944520.302 * * [simplify]: Extracting #7: cost 0 inf + 47571
1553944520.312 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1553944520.312 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))))))
1553944520.312 * * * * [progress]: [ 100 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553944520.312 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553944520.312 * * [simplify]: iters left: 6 (15 enodes)
1553944520.319 * * [simplify]: iters left: 5 (60 enodes)
1553944520.329 * * [simplify]: iters left: 4 (111 enodes)
1553944520.371 * * [simplify]: iters left: 3 (294 enodes)
1553944520.539 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944520.539 * * [simplify]: Extracting #1: cost 16 inf + 0
1553944520.539 * * [simplify]: Extracting #2: cost 142 inf + 0
1553944520.541 * * [simplify]: Extracting #3: cost 317 inf + 187
1553944520.544 * * [simplify]: Extracting #4: cost 290 inf + 2919
1553944520.556 * * [simplify]: Extracting #5: cost 105 inf + 47243
1553944520.583 * * [simplify]: Extracting #6: cost 3 inf + 79409
1553944520.597 * * [simplify]: Extracting #7: cost 0 inf + 77357
1553944520.618 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1553944520.618 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))
1553944520.618 * * * * [progress]: [ 101 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944520.619 * [simplify]: Simplifying (* 2 (* n PI))
1553944520.619 * * [simplify]: iters left: 4 (5 enodes)
1553944520.622 * * [simplify]: iters left: 3 (19 enodes)
1553944520.627 * * [simplify]: iters left: 2 (27 enodes)
1553944520.635 * * [simplify]: iters left: 1 (32 enodes)
1553944520.642 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944520.642 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944520.642 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944520.642 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944520.642 * [simplify]: Simplified to (* (* PI n) 2)
1553944520.642 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944520.642 * * * * [progress]: [ 102 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944520.643 * [simplify]: Simplifying (* 2 (* n PI))
1553944520.643 * * [simplify]: iters left: 4 (5 enodes)
1553944520.644 * * [simplify]: iters left: 3 (19 enodes)
1553944520.647 * * [simplify]: iters left: 2 (27 enodes)
1553944520.651 * * [simplify]: iters left: 1 (32 enodes)
1553944520.654 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944520.654 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944520.655 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944520.655 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944520.655 * [simplify]: Simplified to (* (* PI n) 2)
1553944520.655 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944520.655 * * * * [progress]: [ 103 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944520.655 * [simplify]: Simplifying (* 2 (* n PI))
1553944520.655 * * [simplify]: iters left: 4 (5 enodes)
1553944520.657 * * [simplify]: iters left: 3 (19 enodes)
1553944520.659 * * [simplify]: iters left: 2 (27 enodes)
1553944520.665 * * [simplify]: iters left: 1 (32 enodes)
1553944520.668 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944520.669 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944520.669 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944520.669 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944520.669 * [simplify]: Simplified to (* (* PI n) 2)
1553944520.669 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944520.669 * * * * [progress]: [ 104 / 109 ] 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))))))>
1553944520.670 * [simplify]: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1553944520.670 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944520.670 * * * * [progress]: [ 105 / 109 ] 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))))))>
1553944520.670 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1553944520.670 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944520.670 * * * * [progress]: [ 106 / 109 ] 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))))))>
1553944520.670 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1553944520.670 * [simplify]: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944520.671 * * * * [progress]: [ 107 / 109 ] 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))))))))))))))>
1553944520.671 * [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)))))))))))))
1553944520.671 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944520.671 * * * * [progress]: [ 108 / 109 ] 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)))))))))>
1553944520.671 * [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))))))))
1553944520.671 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944520.672 * * * * [progress]: [ 109 / 109 ] 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))))))))))))>
1553944520.672 * [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)))))))))))
1553944520.672 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944520.672 * * * [progress]: adding candidates to table
1553944521.933 * * [progress]: iteration 4 / 4
1553944521.933 * * * [progress]: picking best candidate
1553944521.968 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944521.968 * * * [progress]: localizing error
1553944521.979 * * * [progress]: generating rewritten candidates
1553944521.979 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
1553944521.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
1553944521.986 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1553944521.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
1553944521.997 * * * [progress]: generating series expansions
1553944521.997 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
1553944521.998 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1553944521.998 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1553944521.998 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944521.998 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944521.998 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944521.998 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944521.998 * [taylor]: Taking taylor expansion of 1/2 in k
1553944521.998 * [backup-simplify]: Simplify 1/2 into 1/2
1553944521.998 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944521.998 * [taylor]: Taking taylor expansion of 1/2 in k
1553944521.998 * [backup-simplify]: Simplify 1/2 into 1/2
1553944521.998 * [taylor]: Taking taylor expansion of k in k
1553944521.998 * [backup-simplify]: Simplify 0 into 0
1553944521.998 * [backup-simplify]: Simplify 1 into 1
1553944521.998 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944521.998 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944521.998 * [taylor]: Taking taylor expansion of 2 in k
1553944521.998 * [backup-simplify]: Simplify 2 into 2
1553944521.998 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944521.998 * [taylor]: Taking taylor expansion of n in k
1553944521.998 * [backup-simplify]: Simplify n into n
1553944521.998 * [taylor]: Taking taylor expansion of PI in k
1553944521.998 * [backup-simplify]: Simplify PI into PI
1553944521.998 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944521.998 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944521.998 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944521.999 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944521.999 * [backup-simplify]: Simplify (- 0) into 0
1553944521.999 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944521.999 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944521.999 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944521.999 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944521.999 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944521.999 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944521.999 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944521.999 * [taylor]: Taking taylor expansion of 1/2 in n
1553944521.999 * [backup-simplify]: Simplify 1/2 into 1/2
1553944521.999 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944521.999 * [taylor]: Taking taylor expansion of 1/2 in n
1553944521.999 * [backup-simplify]: Simplify 1/2 into 1/2
1553944521.999 * [taylor]: Taking taylor expansion of k in n
1553944521.999 * [backup-simplify]: Simplify k into k
1553944521.999 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944521.999 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944521.999 * [taylor]: Taking taylor expansion of 2 in n
1553944521.999 * [backup-simplify]: Simplify 2 into 2
1553944521.999 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944521.999 * [taylor]: Taking taylor expansion of n in n
1553944521.999 * [backup-simplify]: Simplify 0 into 0
1553944522.000 * [backup-simplify]: Simplify 1 into 1
1553944522.000 * [taylor]: Taking taylor expansion of PI in n
1553944522.000 * [backup-simplify]: Simplify PI into PI
1553944522.000 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.000 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.001 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.002 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.002 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944522.003 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944522.003 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944522.003 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.004 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944522.005 * [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)))))
1553944522.005 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944522.005 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944522.005 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944522.005 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944522.005 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.005 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.005 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944522.005 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.005 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.005 * [taylor]: Taking taylor expansion of k in n
1553944522.005 * [backup-simplify]: Simplify k into k
1553944522.005 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.005 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.005 * [taylor]: Taking taylor expansion of 2 in n
1553944522.005 * [backup-simplify]: Simplify 2 into 2
1553944522.005 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.005 * [taylor]: Taking taylor expansion of n in n
1553944522.005 * [backup-simplify]: Simplify 0 into 0
1553944522.005 * [backup-simplify]: Simplify 1 into 1
1553944522.005 * [taylor]: Taking taylor expansion of PI in n
1553944522.005 * [backup-simplify]: Simplify PI into PI
1553944522.006 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.006 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.008 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.008 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.008 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944522.008 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944522.008 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944522.009 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.010 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944522.011 * [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)))))
1553944522.011 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944522.011 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944522.011 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944522.011 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.011 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.011 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944522.011 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.011 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.011 * [taylor]: Taking taylor expansion of k in k
1553944522.011 * [backup-simplify]: Simplify 0 into 0
1553944522.011 * [backup-simplify]: Simplify 1 into 1
1553944522.011 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944522.011 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.011 * [taylor]: Taking taylor expansion of n in k
1553944522.011 * [backup-simplify]: Simplify n into n
1553944522.011 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.011 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944522.011 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944522.011 * [taylor]: Taking taylor expansion of 2 in k
1553944522.011 * [backup-simplify]: Simplify 2 into 2
1553944522.011 * [taylor]: Taking taylor expansion of PI in k
1553944522.011 * [backup-simplify]: Simplify PI into PI
1553944522.011 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.012 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.012 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944522.012 * [backup-simplify]: Simplify (- 0) into 0
1553944522.013 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.013 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.014 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944522.015 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944522.015 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944522.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944522.016 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944522.017 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944522.018 * [backup-simplify]: Simplify (- 0) into 0
1553944522.018 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.019 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.020 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944522.021 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.021 * [taylor]: Taking taylor expansion of 0 in k
1553944522.021 * [backup-simplify]: Simplify 0 into 0
1553944522.021 * [backup-simplify]: Simplify 0 into 0
1553944522.022 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944522.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.023 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.024 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944522.024 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.024 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944522.027 * [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)))))))
1553944522.029 * [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)))))))
1553944522.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.030 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944522.032 * [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
1553944522.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944522.033 * [backup-simplify]: Simplify (- 0) into 0
1553944522.033 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.034 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.035 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944522.036 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944522.036 * [taylor]: Taking taylor expansion of 0 in k
1553944522.036 * [backup-simplify]: Simplify 0 into 0
1553944522.036 * [backup-simplify]: Simplify 0 into 0
1553944522.036 * [backup-simplify]: Simplify 0 into 0
1553944522.037 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944522.038 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.039 * [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
1553944522.040 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.040 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944522.040 * [backup-simplify]: Simplify (- 0) into 0
1553944522.041 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944522.044 * [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)))))
1553944522.049 * [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)))))
1553944522.054 * [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)))))
1553944522.055 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
1553944522.055 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1553944522.055 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944522.055 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944522.055 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944522.055 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.055 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.055 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.055 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.055 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.055 * [taylor]: Taking taylor expansion of k in k
1553944522.055 * [backup-simplify]: Simplify 0 into 0
1553944522.055 * [backup-simplify]: Simplify 1 into 1
1553944522.055 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.055 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944522.055 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944522.055 * [taylor]: Taking taylor expansion of 2 in k
1553944522.055 * [backup-simplify]: Simplify 2 into 2
1553944522.055 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.055 * [taylor]: Taking taylor expansion of PI in k
1553944522.055 * [backup-simplify]: Simplify PI into PI
1553944522.055 * [taylor]: Taking taylor expansion of n in k
1553944522.055 * [backup-simplify]: Simplify n into n
1553944522.055 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.056 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944522.056 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944522.056 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.056 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.056 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.056 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944522.057 * [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))))
1553944522.057 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.057 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.057 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.057 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.057 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.057 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.057 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.057 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.057 * [taylor]: Taking taylor expansion of k in n
1553944522.057 * [backup-simplify]: Simplify k into k
1553944522.057 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.057 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.057 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.057 * [taylor]: Taking taylor expansion of 2 in n
1553944522.057 * [backup-simplify]: Simplify 2 into 2
1553944522.057 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.057 * [taylor]: Taking taylor expansion of PI in n
1553944522.057 * [backup-simplify]: Simplify PI into PI
1553944522.057 * [taylor]: Taking taylor expansion of n in n
1553944522.057 * [backup-simplify]: Simplify 0 into 0
1553944522.057 * [backup-simplify]: Simplify 1 into 1
1553944522.057 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.057 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.058 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.058 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.058 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.058 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.059 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.060 * [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)))
1553944522.060 * [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))))
1553944522.060 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.060 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.060 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.060 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.060 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.061 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.061 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.061 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.061 * [taylor]: Taking taylor expansion of k in n
1553944522.061 * [backup-simplify]: Simplify k into k
1553944522.061 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.061 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.061 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.061 * [taylor]: Taking taylor expansion of 2 in n
1553944522.061 * [backup-simplify]: Simplify 2 into 2
1553944522.061 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.061 * [taylor]: Taking taylor expansion of PI in n
1553944522.061 * [backup-simplify]: Simplify PI into PI
1553944522.061 * [taylor]: Taking taylor expansion of n in n
1553944522.061 * [backup-simplify]: Simplify 0 into 0
1553944522.061 * [backup-simplify]: Simplify 1 into 1
1553944522.061 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.061 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.062 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.062 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.062 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.062 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.063 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.064 * [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)))
1553944522.064 * [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))))
1553944522.064 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944522.064 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944522.064 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.064 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.064 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.064 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.064 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.065 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.065 * [taylor]: Taking taylor expansion of k in k
1553944522.065 * [backup-simplify]: Simplify 0 into 0
1553944522.065 * [backup-simplify]: Simplify 1 into 1
1553944522.065 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.065 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944522.065 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944522.065 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944522.065 * [taylor]: Taking taylor expansion of 2 in k
1553944522.065 * [backup-simplify]: Simplify 2 into 2
1553944522.065 * [taylor]: Taking taylor expansion of PI in k
1553944522.065 * [backup-simplify]: Simplify PI into PI
1553944522.065 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.066 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.066 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.066 * [taylor]: Taking taylor expansion of n in k
1553944522.066 * [backup-simplify]: Simplify n into n
1553944522.066 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.066 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.066 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.067 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.067 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944522.067 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944522.068 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944522.069 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1553944522.069 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1553944522.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.070 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.071 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.072 * [backup-simplify]: Simplify (- 0) into 0
1553944522.072 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.073 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.074 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944522.075 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.075 * [taylor]: Taking taylor expansion of 0 in k
1553944522.075 * [backup-simplify]: Simplify 0 into 0
1553944522.075 * [backup-simplify]: Simplify 0 into 0
1553944522.075 * [backup-simplify]: Simplify 0 into 0
1553944522.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.076 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.079 * [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
1553944522.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944522.081 * [backup-simplify]: Simplify (- 0) into 0
1553944522.081 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.082 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.084 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944522.086 * [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
1553944522.086 * [taylor]: Taking taylor expansion of 0 in k
1553944522.086 * [backup-simplify]: Simplify 0 into 0
1553944522.086 * [backup-simplify]: Simplify 0 into 0
1553944522.086 * [backup-simplify]: Simplify 0 into 0
1553944522.086 * [backup-simplify]: Simplify 0 into 0
1553944522.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.089 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.092 * [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
1553944522.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944522.093 * [backup-simplify]: Simplify (- 0) into 0
1553944522.093 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.094 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.095 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944522.096 * [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
1553944522.097 * [taylor]: Taking taylor expansion of 0 in k
1553944522.097 * [backup-simplify]: Simplify 0 into 0
1553944522.097 * [backup-simplify]: Simplify 0 into 0
1553944522.097 * [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)))))
1553944522.097 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
1553944522.097 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1553944522.097 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944522.098 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944522.098 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944522.098 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.098 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.098 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.098 * [taylor]: Taking taylor expansion of k in k
1553944522.098 * [backup-simplify]: Simplify 0 into 0
1553944522.098 * [backup-simplify]: Simplify 1 into 1
1553944522.098 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.098 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.098 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.098 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944522.098 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944522.098 * [taylor]: Taking taylor expansion of -2 in k
1553944522.098 * [backup-simplify]: Simplify -2 into -2
1553944522.098 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.098 * [taylor]: Taking taylor expansion of PI in k
1553944522.098 * [backup-simplify]: Simplify PI into PI
1553944522.098 * [taylor]: Taking taylor expansion of n in k
1553944522.098 * [backup-simplify]: Simplify n into n
1553944522.098 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.098 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944522.098 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944522.098 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.099 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.099 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944522.099 * [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)))
1553944522.099 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.099 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944522.099 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944522.099 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.099 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.099 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.099 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.099 * [taylor]: Taking taylor expansion of k in n
1553944522.099 * [backup-simplify]: Simplify k into k
1553944522.099 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.099 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.099 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.099 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.099 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.099 * [taylor]: Taking taylor expansion of -2 in n
1553944522.099 * [backup-simplify]: Simplify -2 into -2
1553944522.099 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.099 * [taylor]: Taking taylor expansion of PI in n
1553944522.099 * [backup-simplify]: Simplify PI into PI
1553944522.099 * [taylor]: Taking taylor expansion of n in n
1553944522.099 * [backup-simplify]: Simplify 0 into 0
1553944522.099 * [backup-simplify]: Simplify 1 into 1
1553944522.100 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.100 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.100 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.101 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.101 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.101 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.102 * [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)))
1553944522.103 * [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))))
1553944522.103 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.103 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944522.103 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944522.103 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.103 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.103 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.103 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.103 * [taylor]: Taking taylor expansion of k in n
1553944522.103 * [backup-simplify]: Simplify k into k
1553944522.103 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.103 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.103 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.103 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.103 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.103 * [taylor]: Taking taylor expansion of -2 in n
1553944522.103 * [backup-simplify]: Simplify -2 into -2
1553944522.103 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.103 * [taylor]: Taking taylor expansion of PI in n
1553944522.103 * [backup-simplify]: Simplify PI into PI
1553944522.103 * [taylor]: Taking taylor expansion of n in n
1553944522.103 * [backup-simplify]: Simplify 0 into 0
1553944522.103 * [backup-simplify]: Simplify 1 into 1
1553944522.103 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.104 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.104 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.104 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.104 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.105 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.106 * [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)))
1553944522.107 * [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))))
1553944522.107 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944522.107 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944522.107 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.107 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.107 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.107 * [taylor]: Taking taylor expansion of k in k
1553944522.107 * [backup-simplify]: Simplify 0 into 0
1553944522.107 * [backup-simplify]: Simplify 1 into 1
1553944522.107 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.107 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.107 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.107 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944522.107 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944522.107 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944522.107 * [taylor]: Taking taylor expansion of -2 in k
1553944522.108 * [backup-simplify]: Simplify -2 into -2
1553944522.108 * [taylor]: Taking taylor expansion of PI in k
1553944522.108 * [backup-simplify]: Simplify PI into PI
1553944522.108 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.108 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.108 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.108 * [taylor]: Taking taylor expansion of n in k
1553944522.108 * [backup-simplify]: Simplify n into n
1553944522.108 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.109 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.109 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.109 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944522.110 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944522.110 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944522.111 * [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))))
1553944522.112 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
1553944522.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.113 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944522.114 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944522.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.114 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.115 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.116 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944522.117 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.117 * [taylor]: Taking taylor expansion of 0 in k
1553944522.117 * [backup-simplify]: Simplify 0 into 0
1553944522.117 * [backup-simplify]: Simplify 0 into 0
1553944522.117 * [backup-simplify]: Simplify 0 into 0
1553944522.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.118 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.120 * [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
1553944522.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944522.121 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.123 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944522.124 * [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
1553944522.124 * [taylor]: Taking taylor expansion of 0 in k
1553944522.124 * [backup-simplify]: Simplify 0 into 0
1553944522.124 * [backup-simplify]: Simplify 0 into 0
1553944522.124 * [backup-simplify]: Simplify 0 into 0
1553944522.124 * [backup-simplify]: Simplify 0 into 0
1553944522.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.126 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.129 * [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
1553944522.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944522.130 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.131 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.132 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553944522.133 * [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
1553944522.133 * [taylor]: Taking taylor expansion of 0 in k
1553944522.133 * [backup-simplify]: Simplify 0 into 0
1553944522.133 * [backup-simplify]: Simplify 0 into 0
1553944522.134 * [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)))))
1553944522.134 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
1553944522.134 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
1553944522.134 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1553944522.134 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.134 * [taylor]: Taking taylor expansion of 2 in n
1553944522.134 * [backup-simplify]: Simplify 2 into 2
1553944522.134 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.134 * [taylor]: Taking taylor expansion of n in n
1553944522.134 * [backup-simplify]: Simplify 0 into 0
1553944522.134 * [backup-simplify]: Simplify 1 into 1
1553944522.134 * [taylor]: Taking taylor expansion of PI in n
1553944522.134 * [backup-simplify]: Simplify PI into PI
1553944522.134 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.134 * [taylor]: Taking taylor expansion of 2 in n
1553944522.134 * [backup-simplify]: Simplify 2 into 2
1553944522.134 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.134 * [taylor]: Taking taylor expansion of n in n
1553944522.134 * [backup-simplify]: Simplify 0 into 0
1553944522.134 * [backup-simplify]: Simplify 1 into 1
1553944522.135 * [taylor]: Taking taylor expansion of PI in n
1553944522.135 * [backup-simplify]: Simplify PI into PI
1553944522.135 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.135 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.135 * [backup-simplify]: Simplify 0 into 0
1553944522.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.138 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.139 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944522.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944522.140 * [backup-simplify]: Simplify 0 into 0
1553944522.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.141 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944522.141 * [backup-simplify]: Simplify 0 into 0
1553944522.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944522.142 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1553944522.143 * [backup-simplify]: Simplify 0 into 0
1553944522.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944522.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1553944522.144 * [backup-simplify]: Simplify 0 into 0
1553944522.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944522.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1553944522.146 * [backup-simplify]: Simplify 0 into 0
1553944522.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1553944522.148 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1553944522.148 * [backup-simplify]: Simplify 0 into 0
1553944522.148 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1553944522.148 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
1553944522.148 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1553944522.148 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.148 * [taylor]: Taking taylor expansion of 2 in n
1553944522.148 * [backup-simplify]: Simplify 2 into 2
1553944522.149 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.149 * [taylor]: Taking taylor expansion of PI in n
1553944522.149 * [backup-simplify]: Simplify PI into PI
1553944522.149 * [taylor]: Taking taylor expansion of n in n
1553944522.149 * [backup-simplify]: Simplify 0 into 0
1553944522.149 * [backup-simplify]: Simplify 1 into 1
1553944522.149 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.149 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.149 * [taylor]: Taking taylor expansion of 2 in n
1553944522.149 * [backup-simplify]: Simplify 2 into 2
1553944522.149 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.149 * [taylor]: Taking taylor expansion of PI in n
1553944522.149 * [backup-simplify]: Simplify PI into PI
1553944522.149 * [taylor]: Taking taylor expansion of n in n
1553944522.149 * [backup-simplify]: Simplify 0 into 0
1553944522.149 * [backup-simplify]: Simplify 1 into 1
1553944522.149 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.150 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.150 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.151 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.151 * [backup-simplify]: Simplify 0 into 0
1553944522.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.152 * [backup-simplify]: Simplify 0 into 0
1553944522.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.153 * [backup-simplify]: Simplify 0 into 0
1553944522.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.155 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944522.155 * [backup-simplify]: Simplify 0 into 0
1553944522.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944522.156 * [backup-simplify]: Simplify 0 into 0
1553944522.157 * [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
1553944522.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944522.158 * [backup-simplify]: Simplify 0 into 0
1553944522.158 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1553944522.158 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
1553944522.158 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1553944522.158 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.158 * [taylor]: Taking taylor expansion of -2 in n
1553944522.158 * [backup-simplify]: Simplify -2 into -2
1553944522.158 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.158 * [taylor]: Taking taylor expansion of PI in n
1553944522.158 * [backup-simplify]: Simplify PI into PI
1553944522.158 * [taylor]: Taking taylor expansion of n in n
1553944522.158 * [backup-simplify]: Simplify 0 into 0
1553944522.158 * [backup-simplify]: Simplify 1 into 1
1553944522.159 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.159 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.159 * [taylor]: Taking taylor expansion of -2 in n
1553944522.159 * [backup-simplify]: Simplify -2 into -2
1553944522.159 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.159 * [taylor]: Taking taylor expansion of PI in n
1553944522.159 * [backup-simplify]: Simplify PI into PI
1553944522.159 * [taylor]: Taking taylor expansion of n in n
1553944522.159 * [backup-simplify]: Simplify 0 into 0
1553944522.159 * [backup-simplify]: Simplify 1 into 1
1553944522.159 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.159 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.160 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.161 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944522.161 * [backup-simplify]: Simplify 0 into 0
1553944522.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.163 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.163 * [backup-simplify]: Simplify 0 into 0
1553944522.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.165 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.165 * [backup-simplify]: Simplify 0 into 0
1553944522.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.167 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1553944522.167 * [backup-simplify]: Simplify 0 into 0
1553944522.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.170 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1553944522.170 * [backup-simplify]: Simplify 0 into 0
1553944522.171 * [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
1553944522.172 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1553944522.172 * [backup-simplify]: Simplify 0 into 0
1553944522.173 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1553944522.173 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1553944522.173 * [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)))
1553944522.173 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0
1553944522.173 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n
1553944522.174 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944522.174 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944522.174 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944522.174 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944522.174 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.174 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.174 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944522.174 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.174 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.174 * [taylor]: Taking taylor expansion of k in n
1553944522.174 * [backup-simplify]: Simplify k into k
1553944522.174 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.174 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.174 * [taylor]: Taking taylor expansion of 2 in n
1553944522.174 * [backup-simplify]: Simplify 2 into 2
1553944522.174 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.174 * [taylor]: Taking taylor expansion of n in n
1553944522.174 * [backup-simplify]: Simplify 0 into 0
1553944522.174 * [backup-simplify]: Simplify 1 into 1
1553944522.174 * [taylor]: Taking taylor expansion of PI in n
1553944522.174 * [backup-simplify]: Simplify PI into PI
1553944522.175 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.175 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.178 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.179 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.179 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944522.179 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944522.179 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944522.181 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.182 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944522.183 * [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)))))
1553944522.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
1553944522.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.183 * [taylor]: Taking taylor expansion of k in n
1553944522.183 * [backup-simplify]: Simplify k into k
1553944522.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.183 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1553944522.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1553944522.183 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553944522.183 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944522.183 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944522.184 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944522.184 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944522.184 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.184 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.184 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944522.184 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.184 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.184 * [taylor]: Taking taylor expansion of k in k
1553944522.184 * [backup-simplify]: Simplify 0 into 0
1553944522.184 * [backup-simplify]: Simplify 1 into 1
1553944522.184 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944522.184 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944522.184 * [taylor]: Taking taylor expansion of 2 in k
1553944522.184 * [backup-simplify]: Simplify 2 into 2
1553944522.184 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944522.184 * [taylor]: Taking taylor expansion of n in k
1553944522.184 * [backup-simplify]: Simplify n into n
1553944522.184 * [taylor]: Taking taylor expansion of PI in k
1553944522.184 * [backup-simplify]: Simplify PI into PI
1553944522.184 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944522.184 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944522.184 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944522.185 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944522.185 * [backup-simplify]: Simplify (- 0) into 0
1553944522.185 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.186 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944522.186 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944522.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944522.186 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.186 * [taylor]: Taking taylor expansion of k in k
1553944522.186 * [backup-simplify]: Simplify 0 into 0
1553944522.186 * [backup-simplify]: Simplify 1 into 1
1553944522.186 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.186 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.188 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944522.188 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k
1553944522.188 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944522.188 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944522.188 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944522.188 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944522.188 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.188 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.188 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944522.188 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.188 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.188 * [taylor]: Taking taylor expansion of k in k
1553944522.188 * [backup-simplify]: Simplify 0 into 0
1553944522.188 * [backup-simplify]: Simplify 1 into 1
1553944522.188 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944522.189 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944522.189 * [taylor]: Taking taylor expansion of 2 in k
1553944522.189 * [backup-simplify]: Simplify 2 into 2
1553944522.189 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944522.189 * [taylor]: Taking taylor expansion of n in k
1553944522.189 * [backup-simplify]: Simplify n into n
1553944522.189 * [taylor]: Taking taylor expansion of PI in k
1553944522.189 * [backup-simplify]: Simplify PI into PI
1553944522.189 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944522.189 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944522.189 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944522.189 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944522.190 * [backup-simplify]: Simplify (- 0) into 0
1553944522.190 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.190 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944522.191 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944522.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
1553944522.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.191 * [taylor]: Taking taylor expansion of k in k
1553944522.191 * [backup-simplify]: Simplify 0 into 0
1553944522.191 * [backup-simplify]: Simplify 1 into 1
1553944522.191 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.191 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.193 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944522.193 * [backup-simplify]: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1553944522.193 * [taylor]: Taking taylor expansion of 0 in n
1553944522.193 * [backup-simplify]: Simplify 0 into 0
1553944522.193 * [backup-simplify]: Simplify 0 into 0
1553944522.193 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0
1553944522.194 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1553944522.195 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1553944522.195 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944522.196 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.196 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1553944522.197 * [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)))))
1553944522.197 * [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)))))
1553944522.197 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944522.197 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944522.198 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.198 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.198 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944522.198 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.198 * [taylor]: Taking taylor expansion of 2 in n
1553944522.198 * [backup-simplify]: Simplify 2 into 2
1553944522.198 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.199 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.199 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.199 * [taylor]: Taking taylor expansion of n in n
1553944522.199 * [backup-simplify]: Simplify 0 into 0
1553944522.199 * [backup-simplify]: Simplify 1 into 1
1553944522.199 * [taylor]: Taking taylor expansion of PI in n
1553944522.199 * [backup-simplify]: Simplify PI into PI
1553944522.199 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.201 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.203 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.203 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944522.204 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.204 * [backup-simplify]: Simplify (- 0) into 0
1553944522.204 * [backup-simplify]: Simplify 0 into 0
1553944522.204 * [backup-simplify]: Simplify 0 into 0
1553944522.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1553944522.208 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944522.209 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.210 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1553944522.212 * [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
1553944522.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944522.213 * [backup-simplify]: Simplify (- 0) into 0
1553944522.214 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1553944522.216 * [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)))
1553944522.217 * [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)))))))
1553944522.217 * [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
1553944522.217 * [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
1553944522.217 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944522.217 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.217 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.217 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944522.217 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944522.217 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.217 * [taylor]: Taking taylor expansion of 2 in n
1553944522.217 * [backup-simplify]: Simplify 2 into 2
1553944522.218 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.218 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.218 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.218 * [taylor]: Taking taylor expansion of 2 in n
1553944522.219 * [backup-simplify]: Simplify 2 into 2
1553944522.219 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.219 * [taylor]: Taking taylor expansion of n in n
1553944522.219 * [backup-simplify]: Simplify 0 into 0
1553944522.219 * [backup-simplify]: Simplify 1 into 1
1553944522.219 * [taylor]: Taking taylor expansion of PI in n
1553944522.219 * [backup-simplify]: Simplify PI into PI
1553944522.219 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.220 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.223 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.224 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.224 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.224 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.224 * [taylor]: Taking taylor expansion of n in n
1553944522.224 * [backup-simplify]: Simplify 0 into 0
1553944522.224 * [backup-simplify]: Simplify 1 into 1
1553944522.224 * [taylor]: Taking taylor expansion of PI in n
1553944522.224 * [backup-simplify]: Simplify PI into PI
1553944522.225 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.227 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.227 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.229 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.229 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1553944522.229 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944522.229 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.229 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.229 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944522.229 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.229 * [taylor]: Taking taylor expansion of 2 in n
1553944522.229 * [backup-simplify]: Simplify 2 into 2
1553944522.229 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.230 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.230 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.230 * [taylor]: Taking taylor expansion of n in n
1553944522.230 * [backup-simplify]: Simplify 0 into 0
1553944522.230 * [backup-simplify]: Simplify 1 into 1
1553944522.230 * [taylor]: Taking taylor expansion of PI in n
1553944522.230 * [backup-simplify]: Simplify PI into PI
1553944522.231 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.232 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.234 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.235 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.237 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944522.238 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944522.239 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.239 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944522.240 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.240 * [backup-simplify]: Simplify (- 0) into 0
1553944522.240 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.241 * [backup-simplify]: Simplify (- 0) into 0
1553944522.241 * [backup-simplify]: Simplify 0 into 0
1553944522.242 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.245 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.248 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.249 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.249 * [backup-simplify]: Simplify 0 into 0
1553944522.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944522.252 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1553944522.257 * [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
1553944522.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1553944522.258 * [backup-simplify]: Simplify (- 0) into 0
1553944522.258 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1553944522.260 * [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)))
1553944522.260 * [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)))))))))
1553944522.261 * [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
1553944522.261 * [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
1553944522.261 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1553944522.261 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.261 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.261 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1553944522.261 * [taylor]: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1553944522.261 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.261 * [taylor]: Taking taylor expansion of 2 in n
1553944522.261 * [backup-simplify]: Simplify 2 into 2
1553944522.261 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.261 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.261 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.261 * [taylor]: Taking taylor expansion of 2 in n
1553944522.261 * [backup-simplify]: Simplify 2 into 2
1553944522.262 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.262 * [taylor]: Taking taylor expansion of n in n
1553944522.262 * [backup-simplify]: Simplify 0 into 0
1553944522.262 * [backup-simplify]: Simplify 1 into 1
1553944522.262 * [taylor]: Taking taylor expansion of PI in n
1553944522.262 * [backup-simplify]: Simplify PI into PI
1553944522.262 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.262 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.264 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.265 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.265 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.265 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.265 * [taylor]: Taking taylor expansion of n in n
1553944522.265 * [backup-simplify]: Simplify 0 into 0
1553944522.265 * [backup-simplify]: Simplify 1 into 1
1553944522.265 * [taylor]: Taking taylor expansion of PI in n
1553944522.265 * [backup-simplify]: Simplify PI into PI
1553944522.265 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.266 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.267 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.267 * [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
1553944522.267 * [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
1553944522.267 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1553944522.267 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.268 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1553944522.268 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.268 * [taylor]: Taking taylor expansion of 2 in n
1553944522.268 * [backup-simplify]: Simplify 2 into 2
1553944522.268 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.268 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.268 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.268 * [taylor]: Taking taylor expansion of n in n
1553944522.268 * [backup-simplify]: Simplify 0 into 0
1553944522.268 * [backup-simplify]: Simplify 1 into 1
1553944522.268 * [taylor]: Taking taylor expansion of PI in n
1553944522.268 * [backup-simplify]: Simplify PI into PI
1553944522.269 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.270 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.270 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.271 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1553944522.271 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1553944522.271 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.271 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.271 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1553944522.271 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1553944522.271 * [taylor]: Taking taylor expansion of (sqrt 2) in n
1553944522.271 * [taylor]: Taking taylor expansion of 2 in n
1553944522.271 * [backup-simplify]: Simplify 2 into 2
1553944522.271 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2)
1553944522.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0
1553944522.271 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1553944522.271 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.271 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.271 * [taylor]: Taking taylor expansion of 2 in n
1553944522.272 * [backup-simplify]: Simplify 2 into 2
1553944522.272 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.272 * [taylor]: Taking taylor expansion of n in n
1553944522.272 * [backup-simplify]: Simplify 0 into 0
1553944522.272 * [backup-simplify]: Simplify 1 into 1
1553944522.272 * [taylor]: Taking taylor expansion of PI in n
1553944522.272 * [backup-simplify]: Simplify PI into PI
1553944522.272 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.272 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.274 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.275 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.275 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.275 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n
1553944522.275 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.275 * [taylor]: Taking taylor expansion of n in n
1553944522.275 * [backup-simplify]: Simplify 0 into 0
1553944522.275 * [backup-simplify]: Simplify 1 into 1
1553944522.275 * [taylor]: Taking taylor expansion of PI in n
1553944522.276 * [backup-simplify]: Simplify PI into PI
1553944522.276 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.277 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.278 * [backup-simplify]: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1553944522.279 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.279 * [backup-simplify]: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1553944522.280 * [backup-simplify]: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1553944522.281 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.281 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0
1553944522.281 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.283 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.284 * [backup-simplify]: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1553944522.285 * [backup-simplify]: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1553944522.286 * [backup-simplify]: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1553944522.286 * [backup-simplify]: Simplify (* +nan.0 0) into 0
1553944522.287 * [backup-simplify]: Simplify (- 0) into 0
1553944522.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.287 * [backup-simplify]: Simplify (- 0) into 0
1553944522.287 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.287 * [backup-simplify]: Simplify (- 0) into 0
1553944522.287 * [backup-simplify]: Simplify 0 into 0
1553944522.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944522.289 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944522.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.291 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.291 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944522.293 * [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))))))))
1553944522.296 * [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))))))))
1553944522.298 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.301 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.303 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1553944522.308 * [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))))))))))
1553944522.313 * [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)))))))
1553944522.317 * [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)))))))
1553944522.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944522.320 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1553944522.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1553944522.324 * [backup-simplify]: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944522.329 * [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))))
1553944522.332 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944522.333 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1553944522.344 * [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)))))))))))))
1553944522.344 * [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))
1553944522.344 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0
1553944522.344 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n
1553944522.344 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.344 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.344 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.344 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.344 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.344 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.344 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.344 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.344 * [taylor]: Taking taylor expansion of k in n
1553944522.344 * [backup-simplify]: Simplify k into k
1553944522.344 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.344 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.344 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.344 * [taylor]: Taking taylor expansion of 2 in n
1553944522.344 * [backup-simplify]: Simplify 2 into 2
1553944522.344 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.344 * [taylor]: Taking taylor expansion of PI in n
1553944522.345 * [backup-simplify]: Simplify PI into PI
1553944522.345 * [taylor]: Taking taylor expansion of n in n
1553944522.345 * [backup-simplify]: Simplify 0 into 0
1553944522.345 * [backup-simplify]: Simplify 1 into 1
1553944522.345 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.345 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.346 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.346 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.346 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.346 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.347 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.348 * [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)))
1553944522.348 * [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))))
1553944522.348 * [taylor]: Taking taylor expansion of (sqrt k) in n
1553944522.348 * [taylor]: Taking taylor expansion of k in n
1553944522.348 * [backup-simplify]: Simplify k into k
1553944522.348 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
1553944522.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
1553944522.348 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553944522.348 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944522.348 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944522.348 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944522.348 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.348 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.348 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.349 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.349 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.349 * [taylor]: Taking taylor expansion of k in k
1553944522.349 * [backup-simplify]: Simplify 0 into 0
1553944522.349 * [backup-simplify]: Simplify 1 into 1
1553944522.349 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.349 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944522.349 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944522.349 * [taylor]: Taking taylor expansion of 2 in k
1553944522.349 * [backup-simplify]: Simplify 2 into 2
1553944522.349 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.349 * [taylor]: Taking taylor expansion of PI in k
1553944522.349 * [backup-simplify]: Simplify PI into PI
1553944522.349 * [taylor]: Taking taylor expansion of n in k
1553944522.349 * [backup-simplify]: Simplify n into n
1553944522.349 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.349 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944522.349 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944522.349 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.350 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.350 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.350 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944522.350 * [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))))
1553944522.350 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944522.350 * [taylor]: Taking taylor expansion of k in k
1553944522.350 * [backup-simplify]: Simplify 0 into 0
1553944522.350 * [backup-simplify]: Simplify 1 into 1
1553944522.350 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944522.351 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
1553944522.351 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944522.351 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944522.351 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944522.351 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.351 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.351 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.351 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.352 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.352 * [taylor]: Taking taylor expansion of k in k
1553944522.352 * [backup-simplify]: Simplify 0 into 0
1553944522.352 * [backup-simplify]: Simplify 1 into 1
1553944522.352 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.352 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944522.352 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944522.352 * [taylor]: Taking taylor expansion of 2 in k
1553944522.352 * [backup-simplify]: Simplify 2 into 2
1553944522.352 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.352 * [taylor]: Taking taylor expansion of PI in k
1553944522.352 * [backup-simplify]: Simplify PI into PI
1553944522.352 * [taylor]: Taking taylor expansion of n in k
1553944522.352 * [backup-simplify]: Simplify n into n
1553944522.352 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.352 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944522.352 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944522.352 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.353 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.353 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.353 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944522.353 * [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))))
1553944522.353 * [taylor]: Taking taylor expansion of (sqrt k) in k
1553944522.353 * [taylor]: Taking taylor expansion of k in k
1553944522.353 * [backup-simplify]: Simplify 0 into 0
1553944522.353 * [backup-simplify]: Simplify 1 into 1
1553944522.353 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1553944522.354 * [backup-simplify]: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
1553944522.355 * [taylor]: Taking taylor expansion of 0 in n
1553944522.355 * [backup-simplify]: Simplify 0 into 0
1553944522.355 * [backup-simplify]: Simplify 0 into 0
1553944522.355 * [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))))))
1553944522.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944522.355 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944522.355 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.355 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.355 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.355 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.355 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.355 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.355 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.355 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.355 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.355 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.355 * [taylor]: Taking taylor expansion of k in n
1553944522.355 * [backup-simplify]: Simplify k into k
1553944522.355 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.355 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.355 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.355 * [taylor]: Taking taylor expansion of 2 in n
1553944522.355 * [backup-simplify]: Simplify 2 into 2
1553944522.355 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.355 * [taylor]: Taking taylor expansion of PI in n
1553944522.355 * [backup-simplify]: Simplify PI into PI
1553944522.355 * [taylor]: Taking taylor expansion of n in n
1553944522.355 * [backup-simplify]: Simplify 0 into 0
1553944522.355 * [backup-simplify]: Simplify 1 into 1
1553944522.356 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.356 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.357 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.357 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.357 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.357 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.358 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.358 * [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)))
1553944522.359 * [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))))
1553944522.360 * [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)))))
1553944522.361 * [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))))))
1553944522.361 * [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))))))
1553944522.361 * [backup-simplify]: Simplify 0 into 0
1553944522.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944522.364 * [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))))))
1553944522.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944522.364 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944522.364 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.364 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.364 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.364 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.364 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.364 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.364 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.364 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.364 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.364 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.364 * [taylor]: Taking taylor expansion of k in n
1553944522.364 * [backup-simplify]: Simplify k into k
1553944522.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.364 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.364 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.364 * [taylor]: Taking taylor expansion of 2 in n
1553944522.364 * [backup-simplify]: Simplify 2 into 2
1553944522.364 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.364 * [taylor]: Taking taylor expansion of PI in n
1553944522.364 * [backup-simplify]: Simplify PI into PI
1553944522.364 * [taylor]: Taking taylor expansion of n in n
1553944522.364 * [backup-simplify]: Simplify 0 into 0
1553944522.364 * [backup-simplify]: Simplify 1 into 1
1553944522.364 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.365 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.365 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.365 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.365 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.365 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.366 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.367 * [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)))
1553944522.368 * [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))))
1553944522.368 * [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)))))
1553944522.369 * [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))))))
1553944522.370 * [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))))))
1553944522.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.371 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.372 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.372 * [backup-simplify]: Simplify (- 0) into 0
1553944522.372 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.374 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944522.375 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1553944522.376 * [backup-simplify]: Simplify (- 0) into 0
1553944522.376 * [backup-simplify]: Simplify 0 into 0
1553944522.376 * [backup-simplify]: Simplify 0 into 0
1553944522.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944522.381 * [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))))))
1553944522.381 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n
1553944522.381 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944522.381 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.381 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.381 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.382 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.382 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.382 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.382 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.382 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.382 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.382 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.382 * [taylor]: Taking taylor expansion of k in n
1553944522.382 * [backup-simplify]: Simplify k into k
1553944522.382 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.382 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.382 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.382 * [taylor]: Taking taylor expansion of 2 in n
1553944522.382 * [backup-simplify]: Simplify 2 into 2
1553944522.382 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.382 * [taylor]: Taking taylor expansion of PI in n
1553944522.382 * [backup-simplify]: Simplify PI into PI
1553944522.382 * [taylor]: Taking taylor expansion of n in n
1553944522.382 * [backup-simplify]: Simplify 0 into 0
1553944522.382 * [backup-simplify]: Simplify 1 into 1
1553944522.383 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.383 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.384 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.384 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.384 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.384 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.386 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.387 * [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)))
1553944522.388 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
1553944522.389 * [backup-simplify]: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))
1553944522.391 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
1553944522.392 * [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))))))
1553944522.396 * [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))))))))
1553944522.396 * [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)))
1553944522.396 * [approximate]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0
1553944522.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.396 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in n
1553944522.396 * [taylor]: Taking taylor expansion of (/ k -1) in n
1553944522.396 * [taylor]: Taking taylor expansion of k in n
1553944522.396 * [backup-simplify]: Simplify k into k
1553944522.396 * [taylor]: Taking taylor expansion of -1 in n
1553944522.396 * [backup-simplify]: Simplify -1 into -1
1553944522.396 * [backup-simplify]: Simplify (/ k -1) into (* -1 k)
1553944522.397 * [backup-simplify]: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k))
1553944522.397 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0
1553944522.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0
1553944522.398 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.398 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944522.398 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944522.398 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.398 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.398 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.398 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.398 * [taylor]: Taking taylor expansion of k in n
1553944522.398 * [backup-simplify]: Simplify k into k
1553944522.398 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.398 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.398 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.398 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.398 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.398 * [taylor]: Taking taylor expansion of -2 in n
1553944522.398 * [backup-simplify]: Simplify -2 into -2
1553944522.398 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.398 * [taylor]: Taking taylor expansion of PI in n
1553944522.398 * [backup-simplify]: Simplify PI into PI
1553944522.398 * [taylor]: Taking taylor expansion of n in n
1553944522.398 * [backup-simplify]: Simplify 0 into 0
1553944522.398 * [backup-simplify]: Simplify 1 into 1
1553944522.399 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.399 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.400 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.400 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.400 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.401 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.403 * [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)))
1553944522.404 * [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))))
1553944522.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553944522.404 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1553944522.404 * [taylor]: Taking taylor expansion of (/ k -1) in k
1553944522.404 * [taylor]: Taking taylor expansion of k in k
1553944522.404 * [backup-simplify]: Simplify 0 into 0
1553944522.404 * [backup-simplify]: Simplify 1 into 1
1553944522.404 * [taylor]: Taking taylor expansion of -1 in k
1553944522.404 * [backup-simplify]: Simplify -1 into -1
1553944522.404 * [backup-simplify]: Simplify (/ 1 -1) into -1
1553944522.405 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.406 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944522.406 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944522.406 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944522.406 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944522.406 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.406 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.406 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.406 * [taylor]: Taking taylor expansion of k in k
1553944522.406 * [backup-simplify]: Simplify 0 into 0
1553944522.406 * [backup-simplify]: Simplify 1 into 1
1553944522.407 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.407 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.407 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.407 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944522.407 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944522.407 * [taylor]: Taking taylor expansion of -2 in k
1553944522.407 * [backup-simplify]: Simplify -2 into -2
1553944522.407 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.407 * [taylor]: Taking taylor expansion of PI in k
1553944522.407 * [backup-simplify]: Simplify PI into PI
1553944522.407 * [taylor]: Taking taylor expansion of n in k
1553944522.407 * [backup-simplify]: Simplify n into n
1553944522.407 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.407 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944522.407 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944522.408 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.408 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.408 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944522.409 * [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)))
1553944522.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553944522.409 * [taylor]: Taking taylor expansion of (sqrt (/ k -1)) in k
1553944522.409 * [taylor]: Taking taylor expansion of (/ k -1) in k
1553944522.409 * [taylor]: Taking taylor expansion of k in k
1553944522.409 * [backup-simplify]: Simplify 0 into 0
1553944522.409 * [backup-simplify]: Simplify 1 into 1
1553944522.409 * [taylor]: Taking taylor expansion of -1 in k
1553944522.409 * [backup-simplify]: Simplify -1 into -1
1553944522.409 * [backup-simplify]: Simplify (/ 1 -1) into -1
1553944522.410 * [backup-simplify]: Simplify (sqrt 0) into 0
1553944522.411 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1553944522.411 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944522.411 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944522.411 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944522.411 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.411 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.411 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.411 * [taylor]: Taking taylor expansion of k in k
1553944522.411 * [backup-simplify]: Simplify 0 into 0
1553944522.411 * [backup-simplify]: Simplify 1 into 1
1553944522.412 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.412 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.412 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.412 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944522.412 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944522.412 * [taylor]: Taking taylor expansion of -2 in k
1553944522.412 * [backup-simplify]: Simplify -2 into -2
1553944522.412 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.412 * [taylor]: Taking taylor expansion of PI in k
1553944522.412 * [backup-simplify]: Simplify PI into PI
1553944522.412 * [taylor]: Taking taylor expansion of n in k
1553944522.412 * [backup-simplify]: Simplify n into n
1553944522.412 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.412 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944522.412 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944522.413 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.413 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.413 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944522.413 * [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)))
1553944522.414 * [backup-simplify]: Simplify (* 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
1553944522.414 * [taylor]: Taking taylor expansion of 0 in n
1553944522.414 * [backup-simplify]: Simplify 0 into 0
1553944522.414 * [backup-simplify]: Simplify 0 into 0
1553944522.414 * [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)))))
1553944522.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944522.415 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944522.415 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.415 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.415 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.415 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.415 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.415 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.415 * [taylor]: Taking taylor expansion of -2 in n
1553944522.415 * [backup-simplify]: Simplify -2 into -2
1553944522.415 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.415 * [taylor]: Taking taylor expansion of PI in n
1553944522.415 * [backup-simplify]: Simplify PI into PI
1553944522.415 * [taylor]: Taking taylor expansion of n in n
1553944522.415 * [backup-simplify]: Simplify 0 into 0
1553944522.415 * [backup-simplify]: Simplify 1 into 1
1553944522.415 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.416 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.417 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.417 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.417 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.417 * [taylor]: Taking taylor expansion of k in n
1553944522.417 * [backup-simplify]: Simplify k into k
1553944522.417 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.417 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.417 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.419 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.419 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.420 * [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)))
1553944522.421 * [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))))
1553944522.422 * [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)))))
1553944522.422 * [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))))))
1553944522.423 * [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))))))
1553944522.423 * [backup-simplify]: Simplify 0 into 0
1553944522.424 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
1553944522.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1553944522.426 * [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)))))
1553944522.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944522.426 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944522.426 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.426 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.426 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.426 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.426 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.426 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.426 * [taylor]: Taking taylor expansion of -2 in n
1553944522.426 * [backup-simplify]: Simplify -2 into -2
1553944522.426 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.426 * [taylor]: Taking taylor expansion of PI in n
1553944522.426 * [backup-simplify]: Simplify PI into PI
1553944522.426 * [taylor]: Taking taylor expansion of n in n
1553944522.426 * [backup-simplify]: Simplify 0 into 0
1553944522.426 * [backup-simplify]: Simplify 1 into 1
1553944522.427 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.427 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.428 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.428 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.428 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.428 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.428 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.428 * [taylor]: Taking taylor expansion of k in n
1553944522.428 * [backup-simplify]: Simplify k into k
1553944522.428 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.428 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.428 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.429 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.429 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.429 * [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)))
1553944522.430 * [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))))
1553944522.431 * [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)))))
1553944522.431 * [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))))))
1553944522.432 * [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))))))
1553944522.433 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.434 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.435 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944522.436 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944522.436 * [backup-simplify]: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0
1553944522.437 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.438 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0
1553944522.439 * [backup-simplify]: Simplify (- 0) into 0
1553944522.439 * [backup-simplify]: Simplify 0 into 0
1553944522.439 * [backup-simplify]: Simplify 0 into 0
1553944522.439 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
1553944522.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1553944522.445 * [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)))))
1553944522.445 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n
1553944522.445 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n
1553944522.445 * [taylor]: Taking taylor expansion of +nan.0 in n
1553944522.445 * [backup-simplify]: Simplify +nan.0 into +nan.0
1553944522.445 * [taylor]: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.445 * [taylor]: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.445 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.445 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.445 * [taylor]: Taking taylor expansion of -2 in n
1553944522.445 * [backup-simplify]: Simplify -2 into -2
1553944522.445 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.445 * [taylor]: Taking taylor expansion of PI in n
1553944522.445 * [backup-simplify]: Simplify PI into PI
1553944522.445 * [taylor]: Taking taylor expansion of n in n
1553944522.445 * [backup-simplify]: Simplify 0 into 0
1553944522.445 * [backup-simplify]: Simplify 1 into 1
1553944522.445 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.445 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.446 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.446 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.446 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.446 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.446 * [taylor]: Taking taylor expansion of k in n
1553944522.446 * [backup-simplify]: Simplify k into k
1553944522.446 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.446 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.446 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.447 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.447 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.448 * [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)))
1553944522.449 * [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))))
1553944522.449 * [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)))))
1553944522.450 * [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))))))
1553944522.451 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
1553944522.454 * [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))))))))
1553944522.454 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
1553944522.454 * [backup-simplify]: Simplify (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) into (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
1553944522.454 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1553944522.454 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1553944522.454 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1553944522.454 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1553944522.455 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1553944522.455 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944522.455 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.455 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.455 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944522.455 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.455 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.455 * [taylor]: Taking taylor expansion of k in k
1553944522.455 * [backup-simplify]: Simplify 0 into 0
1553944522.455 * [backup-simplify]: Simplify 1 into 1
1553944522.455 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
1553944522.455 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
1553944522.455 * [taylor]: Taking taylor expansion of 2 in k
1553944522.455 * [backup-simplify]: Simplify 2 into 2
1553944522.455 * [taylor]: Taking taylor expansion of (* n PI) in k
1553944522.455 * [taylor]: Taking taylor expansion of n in k
1553944522.455 * [backup-simplify]: Simplify n into n
1553944522.455 * [taylor]: Taking taylor expansion of PI in k
1553944522.455 * [backup-simplify]: Simplify PI into PI
1553944522.455 * [backup-simplify]: Simplify (* n PI) into (* n PI)
1553944522.455 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1553944522.455 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1553944522.456 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944522.456 * [backup-simplify]: Simplify (- 0) into 0
1553944522.457 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.457 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1553944522.457 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1553944522.457 * [backup-simplify]: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2))))
1553944522.457 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944522.457 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944522.457 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944522.457 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944522.457 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944522.457 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.458 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.458 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944522.458 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.458 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.458 * [taylor]: Taking taylor expansion of k in n
1553944522.458 * [backup-simplify]: Simplify k into k
1553944522.458 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.458 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.458 * [taylor]: Taking taylor expansion of 2 in n
1553944522.458 * [backup-simplify]: Simplify 2 into 2
1553944522.458 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.458 * [taylor]: Taking taylor expansion of n in n
1553944522.458 * [backup-simplify]: Simplify 0 into 0
1553944522.458 * [backup-simplify]: Simplify 1 into 1
1553944522.458 * [taylor]: Taking taylor expansion of PI in n
1553944522.458 * [backup-simplify]: Simplify PI into PI
1553944522.459 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.459 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.463 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.464 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.464 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944522.464 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944522.464 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944522.466 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.467 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944522.468 * [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)))))
1553944522.469 * [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))))))
1553944522.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1553944522.469 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1553944522.470 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1553944522.470 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1553944522.470 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1553944522.470 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.470 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.470 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
1553944522.470 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.470 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.470 * [taylor]: Taking taylor expansion of k in n
1553944522.470 * [backup-simplify]: Simplify k into k
1553944522.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
1553944522.470 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
1553944522.470 * [taylor]: Taking taylor expansion of 2 in n
1553944522.470 * [backup-simplify]: Simplify 2 into 2
1553944522.470 * [taylor]: Taking taylor expansion of (* n PI) in n
1553944522.470 * [taylor]: Taking taylor expansion of n in n
1553944522.470 * [backup-simplify]: Simplify 0 into 0
1553944522.470 * [backup-simplify]: Simplify 1 into 1
1553944522.470 * [taylor]: Taking taylor expansion of PI in n
1553944522.470 * [backup-simplify]: Simplify PI into PI
1553944522.471 * [backup-simplify]: Simplify (* 0 PI) into 0
1553944522.471 * [backup-simplify]: Simplify (* 2 0) into 0
1553944522.472 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
1553944522.474 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1553944522.475 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.475 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
1553944522.475 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1553944522.475 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1553944522.476 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.477 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
1553944522.478 * [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)))))
1553944522.479 * [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))))))
1553944522.479 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k
1553944522.479 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1553944522.479 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1553944522.479 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1553944522.479 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.479 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.479 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
1553944522.479 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.479 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.479 * [taylor]: Taking taylor expansion of k in k
1553944522.479 * [backup-simplify]: Simplify 0 into 0
1553944522.480 * [backup-simplify]: Simplify 1 into 1
1553944522.480 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1553944522.480 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.480 * [taylor]: Taking taylor expansion of n in k
1553944522.480 * [backup-simplify]: Simplify n into n
1553944522.480 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.480 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944522.480 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944522.480 * [taylor]: Taking taylor expansion of 2 in k
1553944522.480 * [backup-simplify]: Simplify 2 into 2
1553944522.480 * [taylor]: Taking taylor expansion of PI in k
1553944522.480 * [backup-simplify]: Simplify PI into PI
1553944522.480 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.481 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.481 * [backup-simplify]: Simplify (* 1/2 0) into 0
1553944522.482 * [backup-simplify]: Simplify (- 0) into 0
1553944522.482 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.483 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.484 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1553944522.485 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1553944522.486 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
1553944522.487 * [backup-simplify]: Simplify (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))
1553944522.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1553944522.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1553944522.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
1553944522.491 * [backup-simplify]: Simplify (- 0) into 0
1553944522.492 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.493 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.494 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1553944522.496 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.499 * [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
1553944522.499 * [taylor]: Taking taylor expansion of 0 in k
1553944522.499 * [backup-simplify]: Simplify 0 into 0
1553944522.499 * [backup-simplify]: Simplify 0 into 0
1553944522.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1553944522.500 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.502 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.502 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.503 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1553944522.503 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.504 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1553944522.508 * [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)))))))
1553944522.514 * [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))))))))
1553944522.518 * [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))))))))
1553944522.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.520 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1553944522.524 * [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
1553944522.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1553944522.525 * [backup-simplify]: Simplify (- 0) into 0
1553944522.526 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.527 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1553944522.529 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944522.531 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1553944522.535 * [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
1553944522.535 * [taylor]: Taking taylor expansion of 0 in k
1553944522.535 * [backup-simplify]: Simplify 0 into 0
1553944522.535 * [backup-simplify]: Simplify 0 into 0
1553944522.535 * [backup-simplify]: Simplify 0 into 0
1553944522.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1553944522.538 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.541 * [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
1553944522.542 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1553944522.544 * [backup-simplify]: Simplify (- 0) into 0
1553944522.544 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.546 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1553944522.551 * [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)))))
1553944522.565 * [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)))))))))
1553944522.571 * [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)))))))))
1553944522.587 * [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))))))))))))
1553944522.587 * [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)))))
1553944522.587 * [approximate]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1553944522.587 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1553944522.587 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1553944522.587 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1553944522.587 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1553944522.588 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.588 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.588 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.588 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.588 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.588 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.588 * [taylor]: Taking taylor expansion of k in k
1553944522.588 * [backup-simplify]: Simplify 0 into 0
1553944522.588 * [backup-simplify]: Simplify 1 into 1
1553944522.588 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.588 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
1553944522.588 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
1553944522.588 * [taylor]: Taking taylor expansion of 2 in k
1553944522.588 * [backup-simplify]: Simplify 2 into 2
1553944522.588 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.588 * [taylor]: Taking taylor expansion of PI in k
1553944522.588 * [backup-simplify]: Simplify PI into PI
1553944522.588 * [taylor]: Taking taylor expansion of n in k
1553944522.588 * [backup-simplify]: Simplify n into n
1553944522.588 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.588 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1553944522.588 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1553944522.589 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.589 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.589 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.589 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1553944522.589 * [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))))
1553944522.589 * [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)))))
1553944522.589 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944522.590 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.590 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.590 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.590 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.590 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.590 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.590 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.590 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.590 * [taylor]: Taking taylor expansion of k in n
1553944522.590 * [backup-simplify]: Simplify k into k
1553944522.590 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.590 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.590 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.590 * [taylor]: Taking taylor expansion of 2 in n
1553944522.590 * [backup-simplify]: Simplify 2 into 2
1553944522.590 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.590 * [taylor]: Taking taylor expansion of PI in n
1553944522.590 * [backup-simplify]: Simplify PI into PI
1553944522.590 * [taylor]: Taking taylor expansion of n in n
1553944522.590 * [backup-simplify]: Simplify 0 into 0
1553944522.590 * [backup-simplify]: Simplify 1 into 1
1553944522.590 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.591 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.591 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.591 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.591 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.591 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.592 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.593 * [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)))
1553944522.594 * [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))))
1553944522.594 * [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)))))
1553944522.594 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1553944522.595 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1553944522.595 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1553944522.595 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1553944522.595 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1553944522.595 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.595 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.595 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.595 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.595 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.595 * [taylor]: Taking taylor expansion of k in n
1553944522.595 * [backup-simplify]: Simplify k into k
1553944522.595 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.595 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
1553944522.595 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
1553944522.595 * [taylor]: Taking taylor expansion of 2 in n
1553944522.595 * [backup-simplify]: Simplify 2 into 2
1553944522.595 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.595 * [taylor]: Taking taylor expansion of PI in n
1553944522.595 * [backup-simplify]: Simplify PI into PI
1553944522.595 * [taylor]: Taking taylor expansion of n in n
1553944522.595 * [backup-simplify]: Simplify 0 into 0
1553944522.595 * [backup-simplify]: Simplify 1 into 1
1553944522.595 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.595 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.596 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.596 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.596 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1553944522.596 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1553944522.597 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.598 * [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)))
1553944522.599 * [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))))
1553944522.599 * [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)))))
1553944522.599 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) in k
1553944522.600 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1553944522.600 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1553944522.600 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1553944522.600 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.600 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.600 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.600 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.600 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.600 * [taylor]: Taking taylor expansion of k in k
1553944522.600 * [backup-simplify]: Simplify 0 into 0
1553944522.600 * [backup-simplify]: Simplify 1 into 1
1553944522.600 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.600 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1553944522.600 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
1553944522.600 * [taylor]: Taking taylor expansion of (* 2 PI) in k
1553944522.600 * [taylor]: Taking taylor expansion of 2 in k
1553944522.600 * [backup-simplify]: Simplify 2 into 2
1553944522.600 * [taylor]: Taking taylor expansion of PI in k
1553944522.600 * [backup-simplify]: Simplify PI into PI
1553944522.600 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
1553944522.601 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
1553944522.601 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.601 * [taylor]: Taking taylor expansion of n in k
1553944522.601 * [backup-simplify]: Simplify n into n
1553944522.601 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.601 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.602 * [backup-simplify]: Simplify (- 1/2) into -1/2
1553944522.602 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
1553944522.602 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944522.602 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1553944522.603 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1553944522.604 * [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))))
1553944522.604 * [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)))))
1553944522.605 * [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)))))
1553944522.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.606 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
1553944522.607 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1553944522.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.608 * [backup-simplify]: Simplify (- 0) into 0
1553944522.608 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.610 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1553944522.611 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.612 * [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
1553944522.612 * [taylor]: Taking taylor expansion of 0 in k
1553944522.612 * [backup-simplify]: Simplify 0 into 0
1553944522.612 * [backup-simplify]: Simplify 0 into 0
1553944522.614 * [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
1553944522.614 * [backup-simplify]: Simplify 0 into 0
1553944522.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.615 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.616 * [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
1553944522.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944522.618 * [backup-simplify]: Simplify (- 0) into 0
1553944522.618 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.620 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.621 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1553944522.624 * [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
1553944522.627 * [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
1553944522.627 * [taylor]: Taking taylor expansion of 0 in k
1553944522.627 * [backup-simplify]: Simplify 0 into 0
1553944522.627 * [backup-simplify]: Simplify 0 into 0
1553944522.627 * [backup-simplify]: Simplify 0 into 0
1553944522.630 * [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
1553944522.631 * [backup-simplify]: Simplify 0 into 0
1553944522.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.633 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.638 * [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
1553944522.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944522.639 * [backup-simplify]: Simplify (- 0) into 0
1553944522.639 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1553944522.641 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1553944522.642 * [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
1553944522.645 * [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
1553944522.645 * [taylor]: Taking taylor expansion of 0 in k
1553944522.645 * [backup-simplify]: Simplify 0 into 0
1553944522.645 * [backup-simplify]: Simplify 0 into 0
1553944522.646 * [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))))))
1553944522.646 * [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)))
1553944522.646 * [approximate]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0
1553944522.646 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k
1553944522.646 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1553944522.646 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1553944522.646 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1553944522.646 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.646 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.646 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.646 * [taylor]: Taking taylor expansion of k in k
1553944522.646 * [backup-simplify]: Simplify 0 into 0
1553944522.646 * [backup-simplify]: Simplify 1 into 1
1553944522.647 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.647 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.647 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.647 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
1553944522.647 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
1553944522.647 * [taylor]: Taking taylor expansion of -2 in k
1553944522.647 * [backup-simplify]: Simplify -2 into -2
1553944522.647 * [taylor]: Taking taylor expansion of (/ PI n) in k
1553944522.647 * [taylor]: Taking taylor expansion of PI in k
1553944522.647 * [backup-simplify]: Simplify PI into PI
1553944522.647 * [taylor]: Taking taylor expansion of n in k
1553944522.647 * [backup-simplify]: Simplify n into n
1553944522.647 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
1553944522.647 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1553944522.647 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1553944522.647 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.648 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.648 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1553944522.648 * [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)))
1553944522.648 * [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))))
1553944522.648 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.648 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.648 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944522.648 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944522.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.648 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.648 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.648 * [taylor]: Taking taylor expansion of k in n
1553944522.648 * [backup-simplify]: Simplify k into k
1553944522.648 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.648 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.648 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.648 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.648 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.648 * [taylor]: Taking taylor expansion of -2 in n
1553944522.648 * [backup-simplify]: Simplify -2 into -2
1553944522.648 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.648 * [taylor]: Taking taylor expansion of PI in n
1553944522.648 * [backup-simplify]: Simplify PI into PI
1553944522.648 * [taylor]: Taking taylor expansion of n in n
1553944522.648 * [backup-simplify]: Simplify 0 into 0
1553944522.648 * [backup-simplify]: Simplify 1 into 1
1553944522.649 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.649 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.650 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.650 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.650 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.651 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.651 * [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)))
1553944522.652 * [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))))
1553944522.653 * [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)))))
1553944522.653 * [taylor]: Taking taylor expansion of (/ 1 (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n
1553944522.653 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1553944522.653 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1553944522.653 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1553944522.653 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1553944522.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1553944522.653 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.653 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n
1553944522.653 * [taylor]: Taking taylor expansion of k in n
1553944522.653 * [backup-simplify]: Simplify k into k
1553944522.653 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
1553944522.653 * [taylor]: Taking taylor expansion of 1/2 in n
1553944522.653 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.653 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
1553944522.653 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
1553944522.653 * [taylor]: Taking taylor expansion of -2 in n
1553944522.653 * [backup-simplify]: Simplify -2 into -2
1553944522.653 * [taylor]: Taking taylor expansion of (/ PI n) in n
1553944522.653 * [taylor]: Taking taylor expansion of PI in n
1553944522.653 * [backup-simplify]: Simplify PI into PI
1553944522.653 * [taylor]: Taking taylor expansion of n in n
1553944522.653 * [backup-simplify]: Simplify 0 into 0
1553944522.653 * [backup-simplify]: Simplify 1 into 1
1553944522.653 * [backup-simplify]: Simplify (/ PI 1) into PI
1553944522.654 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.654 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.654 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1553944522.654 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1553944522.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.656 * [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)))
1553944522.656 * [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))))
1553944522.657 * [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)))))
1553944522.657 * [taylor]: Taking taylor expansion of (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k
1553944522.657 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1553944522.657 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1553944522.657 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1553944522.657 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1553944522.657 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.657 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k
1553944522.657 * [taylor]: Taking taylor expansion of k in k
1553944522.657 * [backup-simplify]: Simplify 0 into 0
1553944522.657 * [backup-simplify]: Simplify 1 into 1
1553944522.658 * [backup-simplify]: Simplify (/ 1 1) into 1
1553944522.658 * [taylor]: Taking taylor expansion of 1/2 in k
1553944522.658 * [backup-simplify]: Simplify 1/2 into 1/2
1553944522.658 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1553944522.658 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
1553944522.658 * [taylor]: Taking taylor expansion of (* -2 PI) in k
1553944522.658 * [taylor]: Taking taylor expansion of -2 in k
1553944522.658 * [backup-simplify]: Simplify -2 into -2
1553944522.658 * [taylor]: Taking taylor expansion of PI in k
1553944522.658 * [backup-simplify]: Simplify PI into PI
1553944522.658 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
1553944522.659 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
1553944522.659 * [taylor]: Taking taylor expansion of (log n) in k
1553944522.659 * [taylor]: Taking taylor expansion of n in k
1553944522.659 * [backup-simplify]: Simplify n into n
1553944522.659 * [backup-simplify]: Simplify (log n) into (log n)
1553944522.659 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
1553944522.659 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
1553944522.659 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
1553944522.660 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1553944522.661 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1553944522.661 * [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))))
1553944522.662 * [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)))))
1553944522.663 * [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)))))
1553944522.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1553944522.664 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
1553944522.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1553944522.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1553944522.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1553944522.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.666 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.667 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1553944522.668 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1553944522.670 * [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
1553944522.670 * [taylor]: Taking taylor expansion of 0 in k
1553944522.670 * [backup-simplify]: Simplify 0 into 0
1553944522.670 * [backup-simplify]: Simplify 0 into 0
1553944522.672 * [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
1553944522.672 * [backup-simplify]: Simplify 0 into 0
1553944522.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.674 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1553944522.677 * [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
1553944522.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1553944522.679 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.680 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.683 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1553944522.686 * [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
1553944522.689 * [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
1553944522.689 * [taylor]: Taking taylor expansion of 0 in k
1553944522.689 * [backup-simplify]: Simplify 0 into 0
1553944522.689 * [backup-simplify]: Simplify 0 into 0
1553944522.689 * [backup-simplify]: Simplify 0 into 0
1553944522.692 * [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
1553944522.692 * [backup-simplify]: Simplify 0 into 0
1553944522.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1553944522.695 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1553944522.700 * [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
1553944522.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1553944522.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1553944522.702 * [backup-simplify]: Simplify (+ 0 0) into 0
1553944522.704 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1553944522.705 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1553944522.707 * [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
1553944522.710 * [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
1553944522.710 * [taylor]: Taking taylor expansion of 0 in k
1553944522.710 * [backup-simplify]: Simplify 0 into 0
1553944522.710 * [backup-simplify]: Simplify 0 into 0
1553944522.712 * [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))))))
1553944522.712 * * * [progress]: simplifying candidates
1553944522.712 * * * * [progress]: [ 1 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944522.712 * [simplify]: Simplifying (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
1553944522.712 * * [simplify]: iters left: 6 (11 enodes)
1553944522.717 * * [simplify]: iters left: 5 (43 enodes)
1553944522.729 * * [simplify]: iters left: 4 (79 enodes)
1553944522.753 * * [simplify]: iters left: 3 (174 enodes)
1553944522.826 * * [simplify]: iters left: 2 (469 enodes)
1553944523.090 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.091 * * [simplify]: Extracting #1: cost 84 inf + 0
1553944523.092 * * [simplify]: Extracting #2: cost 306 inf + 0
1553944523.093 * * [simplify]: Extracting #3: cost 323 inf + 700
1553944523.096 * * [simplify]: Extracting #4: cost 264 inf + 10482
1553944523.109 * * [simplify]: Extracting #5: cost 52 inf + 75582
1553944523.133 * * [simplify]: Extracting #6: cost 0 inf + 94795
1553944523.156 * [simplify]: Simplified to (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))
1553944523.156 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* n 2) PI)))))))
1553944523.156 * * * * [progress]: [ 2 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944523.156 * * * * [progress]: [ 3 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))>
1553944523.156 * [simplify]: Simplifying (* (* n 2) PI)
1553944523.156 * * [simplify]: iters left: 4 (5 enodes)
1553944523.158 * * [simplify]: iters left: 3 (19 enodes)
1553944523.162 * * [simplify]: iters left: 2 (27 enodes)
1553944523.166 * * [simplify]: iters left: 1 (32 enodes)
1553944523.172 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.172 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944523.172 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944523.173 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944523.173 * [simplify]: Simplified to (* (* n 2) PI)
1553944523.173 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))))))
1553944523.173 * * * * [progress]: [ 4 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))))))>
1553944523.173 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944523.173 * * [simplify]: iters left: 5 (8 enodes)
1553944523.177 * * [simplify]: iters left: 4 (28 enodes)
1553944523.184 * * [simplify]: iters left: 3 (36 enodes)
1553944523.193 * * [simplify]: iters left: 2 (41 enodes)
1553944523.202 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.202 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944523.202 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944523.202 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944523.202 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944523.202 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944523.203 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944523.203 * [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))))))
1553944523.203 * * * * [progress]: [ 5 / 107 ] 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)))))))>
1553944523.203 * [simplify]: Simplifying (cbrt (- 1/2 (/ k 2)))
1553944523.203 * * [simplify]: iters left: 5 (6 enodes)
1553944523.206 * * [simplify]: iters left: 4 (20 enodes)
1553944523.212 * * [simplify]: iters left: 3 (25 enodes)
1553944523.219 * * [simplify]: iters left: 2 (27 enodes)
1553944523.226 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.226 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944523.226 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944523.226 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944523.226 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944523.226 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944523.226 * * [simplify]: Extracting #6: cost 1 inf + 662
1553944523.227 * * [simplify]: Extracting #7: cost 0 inf + 825
1553944523.227 * [simplify]: Simplified to (cbrt (- 1/2 (/ k 2)))
1553944523.227 * [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)))))))
1553944523.227 * * * * [progress]: [ 6 / 107 ] 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)))))))>
1553944523.228 * [simplify]: Simplifying (sqrt (- 1/2 (/ k 2)))
1553944523.228 * * [simplify]: iters left: 5 (6 enodes)
1553944523.231 * * [simplify]: iters left: 4 (20 enodes)
1553944523.236 * * [simplify]: iters left: 3 (25 enodes)
1553944523.242 * * [simplify]: iters left: 2 (27 enodes)
1553944523.249 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.249 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944523.249 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944523.249 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944523.249 * * [simplify]: Extracting #4: cost 9 inf + 44
1553944523.249 * * [simplify]: Extracting #5: cost 5 inf + 291
1553944523.250 * * [simplify]: Extracting #6: cost 1 inf + 622
1553944523.250 * * [simplify]: Extracting #7: cost 0 inf + 745
1553944523.250 * [simplify]: Simplified to (sqrt (- 1/2 (/ k 2)))
1553944523.250 * [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)))))))
1553944523.250 * * * * [progress]: [ 7 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944523.251 * [simplify]: Simplifying (- 1/2 (/ k 2))
1553944523.251 * * [simplify]: iters left: 4 (5 enodes)
1553944523.253 * * [simplify]: iters left: 3 (17 enodes)
1553944523.255 * * [simplify]: iters left: 2 (22 enodes)
1553944523.258 * * [simplify]: iters left: 1 (24 enodes)
1553944523.263 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.263 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944523.263 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944523.263 * * [simplify]: Extracting #3: cost 1 inf + 458
1553944523.263 * * [simplify]: Extracting #4: cost 0 inf + 499
1553944523.263 * [simplify]: Simplified to (- 1/2 (/ k 2))
1553944523.263 * [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))))))
1553944523.263 * * * * [progress]: [ 8 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944523.264 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944523.264 * * [simplify]: iters left: 5 (9 enodes)
1553944523.266 * * [simplify]: iters left: 4 (33 enodes)
1553944523.270 * * [simplify]: iters left: 3 (43 enodes)
1553944523.276 * * [simplify]: iters left: 2 (48 enodes)
1553944523.286 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.286 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944523.287 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944523.287 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944523.287 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944523.287 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944523.288 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944523.288 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944523.288 * [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)))))))
1553944523.288 * * * * [progress]: [ 9 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))))))>
1553944523.289 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944523.289 * * [simplify]: iters left: 5 (9 enodes)
1553944523.292 * * [simplify]: iters left: 4 (33 enodes)
1553944523.297 * * [simplify]: iters left: 3 (43 enodes)
1553944523.307 * * [simplify]: iters left: 2 (48 enodes)
1553944523.318 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.318 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944523.318 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944523.318 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944523.319 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944523.319 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944523.319 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944523.320 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944523.320 * [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)))))))
1553944523.320 * * * * [progress]: [ 10 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))>
1553944523.320 * [simplify]: Simplifying (pow (* n 2) (- 1/2 (/ k 2)))
1553944523.320 * * [simplify]: iters left: 5 (8 enodes)
1553944523.325 * * [simplify]: iters left: 4 (27 enodes)
1553944523.333 * * [simplify]: iters left: 3 (32 enodes)
1553944523.343 * * [simplify]: iters left: 2 (34 enodes)
1553944523.353 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.353 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944523.353 * * [simplify]: Extracting #2: cost 11 inf + 0
1553944523.353 * * [simplify]: Extracting #3: cost 12 inf + 3
1553944523.353 * * [simplify]: Extracting #4: cost 8 inf + 171
1553944523.354 * * [simplify]: Extracting #5: cost 1 inf + 918
1553944523.354 * * [simplify]: Extracting #6: cost 0 inf + 1252
1553944523.355 * [simplify]: Simplified to (pow (* n 2) (- 1/2 (/ k 2)))
1553944523.355 * [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)))))))
1553944523.355 * * * * [progress]: [ 11 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553944523.355 * * * * [progress]: [ 12 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944523.355 * * * * [progress]: [ 13 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944523.355 * * * * [progress]: [ 14 / 107 ] 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))))))))>
1553944523.355 * * * * [progress]: [ 15 / 107 ] 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))))))))>
1553944523.355 * * * * [progress]: [ 16 / 107 ] 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))))))))>
1553944523.355 * * * * [progress]: [ 17 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944523.355 * * * * [progress]: [ 18 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944523.355 * * * * [progress]: [ 19 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))))))>
1553944523.355 * * * * [progress]: [ 20 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944523.355 * * * * [progress]: [ 21 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944523.355 * * * * [progress]: [ 22 / 107 ] 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))))))>
1553944523.356 * * * * [progress]: [ 23 / 107 ] 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))))))>
1553944523.356 * * * * [progress]: [ 24 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944523.356 * * * * [progress]: [ 25 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))))))>
1553944523.356 * * * * [progress]: [ 26 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))>
1553944523.356 * * * * [progress]: [ 27 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))))))>
1553944523.356 * * * * [progress]: [ 28 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1553944523.356 * * * * [progress]: [ 29 / 107 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1))>
1553944523.356 * * * * [progress]: [ 30 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944523.356 * [simplify]: Simplifying (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944523.356 * * [simplify]: iters left: 6 (16 enodes)
1553944523.363 * * [simplify]: iters left: 5 (65 enodes)
1553944523.374 * * [simplify]: iters left: 4 (124 enodes)
1553944523.401 * * [simplify]: iters left: 3 (305 enodes)
1553944523.512 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.512 * * [simplify]: Extracting #1: cost 29 inf + 0
1553944523.513 * * [simplify]: Extracting #2: cost 178 inf + 0
1553944523.513 * * [simplify]: Extracting #3: cost 252 inf + 3
1553944523.515 * * [simplify]: Extracting #4: cost 243 inf + 1872
1553944523.517 * * [simplify]: Extracting #5: cost 180 inf + 12931
1553944523.525 * * [simplify]: Extracting #6: cost 90 inf + 35880
1553944523.536 * * [simplify]: Extracting #7: cost 5 inf + 59522
1553944523.562 * * [simplify]: Extracting #8: cost 0 inf + 60419
1553944523.574 * [simplify]: Simplified to (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1553944523.574 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))
1553944523.574 * * * * [progress]: [ 31 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944523.575 * [simplify]: Simplifying (- (* (log k) -1/2) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944523.575 * * [simplify]: iters left: 6 (16 enodes)
1553944523.579 * * [simplify]: iters left: 5 (65 enodes)
1553944523.590 * * [simplify]: iters left: 4 (124 enodes)
1553944523.636 * * [simplify]: iters left: 3 (305 enodes)
1553944523.763 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944523.763 * * [simplify]: Extracting #1: cost 29 inf + 0
1553944523.763 * * [simplify]: Extracting #2: cost 178 inf + 0
1553944523.764 * * [simplify]: Extracting #3: cost 252 inf + 3
1553944523.765 * * [simplify]: Extracting #4: cost 243 inf + 1872
1553944523.768 * * [simplify]: Extracting #5: cost 180 inf + 12931
1553944523.773 * * [simplify]: Extracting #6: cost 90 inf + 35880
1553944523.793 * * [simplify]: Extracting #7: cost 5 inf + 59522
1553944523.818 * * [simplify]: Extracting #8: cost 0 inf + 60419
1553944523.842 * [simplify]: Simplified to (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))
1553944523.842 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))
1553944523.842 * * * * [progress]: [ 32 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944523.843 * [simplify]: Simplifying (- (* (log k) -1/2) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944523.843 * * [simplify]: iters left: 6 (16 enodes)
1553944523.850 * * [simplify]: iters left: 5 (59 enodes)
1553944523.871 * * [simplify]: iters left: 4 (86 enodes)
1553944523.888 * * [simplify]: iters left: 3 (171 enodes)
1553944523.937 * * [simplify]: iters left: 2 (441 enodes)
1553944524.140 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944524.140 * * [simplify]: Extracting #1: cost 63 inf + 0
1553944524.142 * * [simplify]: Extracting #2: cost 235 inf + 0
1553944524.144 * * [simplify]: Extracting #3: cost 302 inf + 186
1553944524.148 * * [simplify]: Extracting #4: cost 276 inf + 5496
1553944524.162 * * [simplify]: Extracting #5: cost 126 inf + 40744
1553944524.193 * * [simplify]: Extracting #6: cost 2 inf + 80006
1553944524.214 * * [simplify]: Extracting #7: cost 0 inf + 79476
1553944524.240 * * [simplify]: Extracting #8: cost 0 inf + 79406
1553944524.271 * [simplify]: Simplified to (- (* -1/2 (log k)) (* (+ (/ k 2) -1/2) (log (* PI (* n 2)))))
1553944524.272 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* -1/2 (log k)) (* (+ (/ k 2) -1/2) (log (* PI (* n 2)))))))
1553944524.272 * * * * [progress]: [ 33 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log k) -1/2) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944524.272 * [simplify]: Simplifying (- (* (log k) -1/2) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944524.272 * * [simplify]: iters left: 6 (17 enodes)
1553944524.281 * * [simplify]: iters left: 5 (66 enodes)
1553944524.301 * * [simplify]: iters left: 4 (85 enodes)
1553944524.326 * * [simplify]: iters left: 3 (112 enodes)
1553944524.360 * * [simplify]: iters left: 2 (209 enodes)
1553944524.441 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944524.441 * * [simplify]: Extracting #1: cost 30 inf + 0
1553944524.441 * * [simplify]: Extracting #2: cost 134 inf + 0
1553944524.442 * * [simplify]: Extracting #3: cost 169 inf + 4
1553944524.443 * * [simplify]: Extracting #4: cost 169 inf + 722
1553944524.445 * * [simplify]: Extracting #5: cost 89 inf + 16546
1553944524.456 * * [simplify]: Extracting #6: cost 17 inf + 34242
1553944524.469 * * [simplify]: Extracting #7: cost 1 inf + 36140
1553944524.478 * * [simplify]: Extracting #8: cost 0 inf + 36275
1553944524.485 * [simplify]: Simplified to (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* 2 PI) n))))
1553944524.486 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* -1/2 (log k)) (* (+ -1/2 (/ k 2)) (log (* (* 2 PI) n))))))
1553944524.486 * * * * [progress]: [ 34 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944524.486 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944524.486 * * [simplify]: iters left: 6 (16 enodes)
1553944524.490 * * [simplify]: iters left: 5 (66 enodes)
1553944524.502 * * [simplify]: iters left: 4 (128 enodes)
1553944524.538 * * [simplify]: iters left: 3 (309 enodes)
1553944524.651 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944524.651 * * [simplify]: Extracting #1: cost 29 inf + 0
1553944524.652 * * [simplify]: Extracting #2: cost 179 inf + 0
1553944524.652 * * [simplify]: Extracting #3: cost 254 inf + 3
1553944524.654 * * [simplify]: Extracting #4: cost 247 inf + 2391
1553944524.657 * * [simplify]: Extracting #5: cost 155 inf + 18662
1553944524.667 * * [simplify]: Extracting #6: cost 13 inf + 55316
1553944524.688 * * [simplify]: Extracting #7: cost 0 inf + 60843
1553944524.708 * [simplify]: Simplified to (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* n (* PI 2)))))
1553944524.708 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* n (* PI 2)))))))
1553944524.708 * * * * [progress]: [ 35 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944524.709 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))
1553944524.709 * * [simplify]: iters left: 6 (16 enodes)
1553944524.713 * * [simplify]: iters left: 5 (66 enodes)
1553944524.733 * * [simplify]: iters left: 4 (128 enodes)
1553944524.778 * * [simplify]: iters left: 3 (309 enodes)
1553944524.937 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944524.937 * * [simplify]: Extracting #1: cost 29 inf + 0
1553944524.938 * * [simplify]: Extracting #2: cost 179 inf + 0
1553944524.940 * * [simplify]: Extracting #3: cost 254 inf + 3
1553944524.943 * * [simplify]: Extracting #4: cost 247 inf + 2391
1553944524.950 * * [simplify]: Extracting #5: cost 155 inf + 18662
1553944524.971 * * [simplify]: Extracting #6: cost 13 inf + 55316
1553944524.988 * * [simplify]: Extracting #7: cost 0 inf + 60843
1553944525.003 * [simplify]: Simplified to (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* n (* PI 2)))))
1553944525.003 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* n (* PI 2)))))))
1553944525.003 * * * * [progress]: [ 36 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944525.003 * [simplify]: Simplifying (- (log (pow k -1/2)) (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944525.004 * * [simplify]: iters left: 6 (16 enodes)
1553944525.008 * * [simplify]: iters left: 5 (60 enodes)
1553944525.020 * * [simplify]: iters left: 4 (90 enodes)
1553944525.047 * * [simplify]: iters left: 3 (175 enodes)
1553944525.121 * * [simplify]: iters left: 2 (445 enodes)
1553944525.344 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944525.345 * * [simplify]: Extracting #1: cost 62 inf + 0
1553944525.345 * * [simplify]: Extracting #2: cost 236 inf + 0
1553944525.346 * * [simplify]: Extracting #3: cost 306 inf + 3
1553944525.348 * * [simplify]: Extracting #4: cost 284 inf + 3390
1553944525.353 * * [simplify]: Extracting #5: cost 148 inf + 33116
1553944525.370 * * [simplify]: Extracting #6: cost 14 inf + 73934
1553944525.398 * * [simplify]: Extracting #7: cost 0 inf + 79950
1553944525.419 * [simplify]: Simplified to (- (* (log k) -1/2) (* (+ -1/2 (/ k 2)) (log (* PI (* n 2)))))
1553944525.419 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log k) -1/2) (* (+ -1/2 (/ k 2)) (log (* PI (* n 2)))))))
1553944525.419 * * * * [progress]: [ 37 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow k -1/2)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944525.419 * [simplify]: Simplifying (- (log (pow k -1/2)) (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944525.420 * * [simplify]: iters left: 6 (17 enodes)
1553944525.426 * * [simplify]: iters left: 5 (67 enodes)
1553944525.436 * * [simplify]: iters left: 4 (89 enodes)
1553944525.460 * * [simplify]: iters left: 3 (116 enodes)
1553944525.480 * * [simplify]: iters left: 2 (213 enodes)
1553944525.569 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944525.569 * * [simplify]: Extracting #1: cost 30 inf + 0
1553944525.570 * * [simplify]: Extracting #2: cost 135 inf + 0
1553944525.571 * * [simplify]: Extracting #3: cost 170 inf + 75
1553944525.572 * * [simplify]: Extracting #4: cost 167 inf + 1761
1553944525.577 * * [simplify]: Extracting #5: cost 100 inf + 14902
1553944525.590 * * [simplify]: Extracting #6: cost 10 inf + 37100
1553944525.599 * * [simplify]: Extracting #7: cost 0 inf + 36769
1553944525.609 * * [simplify]: Extracting #8: cost 0 inf + 36699
1553944525.616 * [simplify]: Simplified to (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI))))
1553944525.616 * [simplify]: Simplified (2 1) to (λ (k n) (exp (- (* (log k) -1/2) (* (+ (/ k 2) -1/2) (log (* (* n 2) PI))))))
1553944525.616 * * * * [progress]: [ 38 / 107 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944525.617 * * * * [progress]: [ 39 / 107 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944525.617 * * * * [progress]: [ 40 / 107 ] 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))))))))>
1553944525.617 * [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))))))
1553944525.618 * * [simplify]: iters left: 6 (19 enodes)
1553944525.630 * * [simplify]: iters left: 5 (80 enodes)
1553944525.651 * * [simplify]: iters left: 4 (148 enodes)
1553944525.687 * * [simplify]: iters left: 3 (315 enodes)
1553944525.848 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944525.848 * * [simplify]: Extracting #1: cost 42 inf + 0
1553944525.849 * * [simplify]: Extracting #2: cost 83 inf + 2
1553944525.850 * * [simplify]: Extracting #3: cost 92 inf + 4
1553944525.851 * * [simplify]: Extracting #4: cost 85 inf + 2070
1553944525.856 * * [simplify]: Extracting #5: cost 41 inf + 22088
1553944525.875 * * [simplify]: Extracting #6: cost 2 inf + 45999
1553944525.888 * * [simplify]: Extracting #7: cost 0 inf + 46870
1553944525.898 * * [simplify]: Extracting #8: cost 0 inf + 46790
1553944525.908 * [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)))))
1553944525.908 * [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)))))))
1553944525.909 * * * * [progress]: [ 41 / 107 ] 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))))))))>
1553944525.909 * * * * [progress]: [ 42 / 107 ] 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))))))))>
1553944525.909 * * * * [progress]: [ 43 / 107 ] 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))))))))>
1553944525.909 * * * * [progress]: [ 44 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow k -1/2)) (- (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944525.909 * * * * [progress]: [ 45 / 107 ] 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))))))))>
1553944525.909 * [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)))))))
1553944525.909 * * [simplify]: iters left: 6 (19 enodes)
1553944525.914 * * [simplify]: iters left: 5 (71 enodes)
1553944525.929 * * [simplify]: iters left: 4 (101 enodes)
1553944525.958 * * [simplify]: iters left: 3 (116 enodes)
1553944525.983 * * [simplify]: iters left: 2 (119 enodes)
1553944526.001 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.001 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944526.001 * * [simplify]: Extracting #2: cost 22 inf + 0
1553944526.001 * * [simplify]: Extracting #3: cost 28 inf + 0
1553944526.002 * * [simplify]: Extracting #4: cost 28 inf + 3
1553944526.002 * * [simplify]: Extracting #5: cost 34 inf + 1383
1553944526.002 * * [simplify]: Extracting #6: cost 32 inf + 1845
1553944526.002 * * [simplify]: Extracting #7: cost 18 inf + 5701
1553944526.004 * * [simplify]: Extracting #8: cost 4 inf + 13426
1553944526.005 * * [simplify]: Extracting #9: cost 0 inf + 16483
1553944526.007 * [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)))))))
1553944526.007 * [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))))))))
1553944526.008 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.008 * * [simplify]: iters left: 6 (17 enodes)
1553944526.012 * * [simplify]: iters left: 5 (59 enodes)
1553944526.021 * * [simplify]: iters left: 4 (74 enodes)
1553944526.032 * * [simplify]: iters left: 3 (81 enodes)
1553944526.042 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.042 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.042 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944526.042 * * [simplify]: Extracting #3: cost 14 inf + 0
1553944526.043 * * [simplify]: Extracting #4: cost 14 inf + 3
1553944526.043 * * [simplify]: Extracting #5: cost 21 inf + 1011
1553944526.043 * * [simplify]: Extracting #6: cost 20 inf + 1222
1553944526.043 * * [simplify]: Extracting #7: cost 9 inf + 2221
1553944526.044 * * [simplify]: Extracting #8: cost 2 inf + 4834
1553944526.044 * * [simplify]: Extracting #9: cost 0 inf + 6157
1553944526.045 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944526.045 * [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))))))))
1553944526.045 * * * * [progress]: [ 46 / 107 ] 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))))))))>
1553944526.045 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.045 * * [simplify]: iters left: 6 (18 enodes)
1553944526.050 * * [simplify]: iters left: 5 (64 enodes)
1553944526.066 * * [simplify]: iters left: 4 (83 enodes)
1553944526.087 * * [simplify]: iters left: 3 (93 enodes)
1553944526.101 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.101 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944526.101 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944526.101 * * [simplify]: Extracting #3: cost 20 inf + 0
1553944526.101 * * [simplify]: Extracting #4: cost 20 inf + 3
1553944526.101 * * [simplify]: Extracting #5: cost 28 inf + 719
1553944526.102 * * [simplify]: Extracting #6: cost 23 inf + 1638
1553944526.102 * * [simplify]: Extracting #7: cost 10 inf + 4132
1553944526.103 * * [simplify]: Extracting #8: cost 2 inf + 8275
1553944526.104 * * [simplify]: Extracting #9: cost 0 inf + 9889
1553944526.105 * [simplify]: Simplified to (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (/ 1 (pow (* PI (* 2 n)) (- 1/2 (/ k 2))))))
1553944526.105 * [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))))))))
1553944526.105 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.105 * * [simplify]: iters left: 6 (17 enodes)
1553944526.110 * * [simplify]: iters left: 5 (59 enodes)
1553944526.128 * * [simplify]: iters left: 4 (74 enodes)
1553944526.146 * * [simplify]: iters left: 3 (81 enodes)
1553944526.165 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.165 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.165 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944526.165 * * [simplify]: Extracting #3: cost 14 inf + 0
1553944526.165 * * [simplify]: Extracting #4: cost 14 inf + 3
1553944526.165 * * [simplify]: Extracting #5: cost 21 inf + 1011
1553944526.165 * * [simplify]: Extracting #6: cost 20 inf + 1222
1553944526.166 * * [simplify]: Extracting #7: cost 9 inf + 2221
1553944526.167 * * [simplify]: Extracting #8: cost 2 inf + 4754
1553944526.168 * * [simplify]: Extracting #9: cost 0 inf + 5997
1553944526.169 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944526.169 * [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))))))))
1553944526.169 * * * * [progress]: [ 47 / 107 ] 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)))))))>
1553944526.170 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1)
1553944526.170 * * [simplify]: iters left: 6 (7 enodes)
1553944526.173 * * [simplify]: iters left: 5 (23 enodes)
1553944526.180 * * [simplify]: iters left: 4 (33 enodes)
1553944526.188 * * [simplify]: iters left: 3 (34 enodes)
1553944526.196 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.196 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944526.196 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944526.197 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944526.197 * * [simplify]: Extracting #4: cost 8 inf + 3
1553944526.197 * * [simplify]: Extracting #5: cost 1 inf + 2009
1553944526.197 * * [simplify]: Extracting #6: cost 0 inf + 2341
1553944526.197 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553944526.198 * [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)))))))
1553944526.198 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944526.198 * * [simplify]: iters left: 6 (16 enodes)
1553944526.206 * * [simplify]: iters left: 5 (58 enodes)
1553944526.224 * * [simplify]: iters left: 4 (74 enodes)
1553944526.244 * * [simplify]: iters left: 3 (88 enodes)
1553944526.269 * * [simplify]: iters left: 2 (89 enodes)
1553944526.292 * * [simplify]: iters left: 1 (91 enodes)
1553944526.314 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.314 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944526.314 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944526.314 * * [simplify]: Extracting #3: cost 27 inf + 1
1553944526.315 * * [simplify]: Extracting #4: cost 27 inf + 7
1553944526.315 * * [simplify]: Extracting #5: cost 14 inf + 1890
1553944526.316 * * [simplify]: Extracting #6: cost 2 inf + 4467
1553944526.318 * * [simplify]: Extracting #7: cost 0 inf + 5589
1553944526.319 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944526.320 * [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))))))
1553944526.320 * * * * [progress]: [ 48 / 107 ] 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)))))))>
1553944526.320 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1)
1553944526.320 * * [simplify]: iters left: 6 (7 enodes)
1553944526.324 * * [simplify]: iters left: 5 (23 enodes)
1553944526.332 * * [simplify]: iters left: 4 (33 enodes)
1553944526.342 * * [simplify]: iters left: 3 (34 enodes)
1553944526.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.351 * * [simplify]: Extracting #1: cost 5 inf + 0
1553944526.351 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944526.351 * * [simplify]: Extracting #3: cost 10 inf + 1
1553944526.351 * * [simplify]: Extracting #4: cost 8 inf + 3
1553944526.351 * * [simplify]: Extracting #5: cost 1 inf + 2009
1553944526.351 * * [simplify]: Extracting #6: cost 0 inf + 2341
1553944526.352 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553944526.352 * [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)))))))
1553944526.352 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944526.352 * * [simplify]: iters left: 6 (16 enodes)
1553944526.361 * * [simplify]: iters left: 5 (58 enodes)
1553944526.383 * * [simplify]: iters left: 4 (74 enodes)
1553944526.399 * * [simplify]: iters left: 3 (88 enodes)
1553944526.411 * * [simplify]: iters left: 2 (89 enodes)
1553944526.422 * * [simplify]: iters left: 1 (91 enodes)
1553944526.433 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.433 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944526.433 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944526.433 * * [simplify]: Extracting #3: cost 27 inf + 1
1553944526.433 * * [simplify]: Extracting #4: cost 27 inf + 7
1553944526.433 * * [simplify]: Extracting #5: cost 14 inf + 1890
1553944526.434 * * [simplify]: Extracting #6: cost 2 inf + 4467
1553944526.434 * * [simplify]: Extracting #7: cost 0 inf + 5589
1553944526.435 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944526.435 * [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))))))
1553944526.435 * * * * [progress]: [ 49 / 107 ] 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)))))>
1553944526.435 * [simplify]: Simplifying (/ (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944526.435 * * [simplify]: iters left: 6 (15 enodes)
1553944526.440 * * [simplify]: iters left: 5 (56 enodes)
1553944526.448 * * [simplify]: iters left: 4 (75 enodes)
1553944526.461 * * [simplify]: iters left: 3 (108 enodes)
1553944526.478 * * [simplify]: iters left: 2 (121 enodes)
1553944526.499 * * [simplify]: iters left: 1 (152 enodes)
1553944526.531 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.532 * * [simplify]: Extracting #1: cost 11 inf + 0
1553944526.532 * * [simplify]: Extracting #2: cost 21 inf + 1
1553944526.532 * * [simplify]: Extracting #3: cost 30 inf + 2
1553944526.532 * * [simplify]: Extracting #4: cost 27 inf + 49
1553944526.532 * * [simplify]: Extracting #5: cost 13 inf + 2547
1553944526.533 * * [simplify]: Extracting #6: cost 2 inf + 6107
1553944526.534 * * [simplify]: Extracting #7: cost 0 inf + 6975
1553944526.535 * [simplify]: Simplified to (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (sqrt (* PI (* 2 n))))
1553944526.535 * [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)))))
1553944526.536 * [simplify]: Simplifying (/ (cbrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))
1553944526.536 * * [simplify]: iters left: 6 (12 enodes)
1553944526.539 * * [simplify]: iters left: 5 (40 enodes)
1553944526.546 * * [simplify]: iters left: 4 (48 enodes)
1553944526.558 * * [simplify]: iters left: 3 (53 enodes)
1553944526.573 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.573 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.573 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944526.573 * * [simplify]: Extracting #3: cost 20 inf + 0
1553944526.573 * * [simplify]: Extracting #4: cost 17 inf + 47
1553944526.573 * * [simplify]: Extracting #5: cost 5 inf + 1223
1553944526.574 * * [simplify]: Extracting #6: cost 2 inf + 2514
1553944526.575 * * [simplify]: Extracting #7: cost 0 inf + 3513
1553944526.575 * [simplify]: Simplified to (/ (cbrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))
1553944526.575 * [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)))))
1553944526.576 * * * * [progress]: [ 50 / 107 ] 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))))))))>
1553944526.576 * [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)))))))
1553944526.576 * * [simplify]: iters left: 6 (18 enodes)
1553944526.586 * * [simplify]: iters left: 5 (64 enodes)
1553944526.599 * * [simplify]: iters left: 4 (81 enodes)
1553944526.610 * * [simplify]: iters left: 3 (88 enodes)
1553944526.622 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.622 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944526.623 * * [simplify]: Extracting #2: cost 12 inf + 0
1553944526.623 * * [simplify]: Extracting #3: cost 18 inf + 0
1553944526.623 * * [simplify]: Extracting #4: cost 18 inf + 3
1553944526.623 * * [simplify]: Extracting #5: cost 25 inf + 931
1553944526.623 * * [simplify]: Extracting #6: cost 21 inf + 1642
1553944526.624 * * [simplify]: Extracting #7: cost 7 inf + 4502
1553944526.626 * * [simplify]: Extracting #8: cost 1 inf + 7896
1553944526.628 * * [simplify]: Extracting #9: cost 0 inf + 8723
1553944526.630 * [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))))))
1553944526.630 * [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))))))))
1553944526.630 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.631 * * [simplify]: iters left: 6 (17 enodes)
1553944526.640 * * [simplify]: iters left: 5 (59 enodes)
1553944526.658 * * [simplify]: iters left: 4 (74 enodes)
1553944526.683 * * [simplify]: iters left: 3 (81 enodes)
1553944526.704 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.704 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.704 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944526.704 * * [simplify]: Extracting #3: cost 14 inf + 0
1553944526.705 * * [simplify]: Extracting #4: cost 14 inf + 3
1553944526.705 * * [simplify]: Extracting #5: cost 21 inf + 931
1553944526.705 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553944526.706 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553944526.707 * * [simplify]: Extracting #8: cost 2 inf + 4714
1553944526.708 * * [simplify]: Extracting #9: cost 0 inf + 5997
1553944526.709 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944526.709 * [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))))))))
1553944526.709 * * * * [progress]: [ 51 / 107 ] 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))))))))>
1553944526.709 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.710 * * [simplify]: iters left: 6 (17 enodes)
1553944526.714 * * [simplify]: iters left: 5 (59 enodes)
1553944526.723 * * [simplify]: iters left: 4 (74 enodes)
1553944526.733 * * [simplify]: iters left: 3 (81 enodes)
1553944526.744 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.744 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.744 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944526.745 * * [simplify]: Extracting #3: cost 14 inf + 0
1553944526.745 * * [simplify]: Extracting #4: cost 14 inf + 3
1553944526.745 * * [simplify]: Extracting #5: cost 21 inf + 931
1553944526.745 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553944526.745 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553944526.746 * * [simplify]: Extracting #8: cost 2 inf + 4634
1553944526.746 * * [simplify]: Extracting #9: cost 0 inf + 5837
1553944526.747 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944526.747 * [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))))))))
1553944526.747 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944526.748 * * [simplify]: iters left: 6 (17 enodes)
1553944526.752 * * [simplify]: iters left: 5 (59 enodes)
1553944526.761 * * [simplify]: iters left: 4 (74 enodes)
1553944526.785 * * [simplify]: iters left: 3 (81 enodes)
1553944526.806 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.806 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.806 * * [simplify]: Extracting #2: cost 8 inf + 0
1553944526.807 * * [simplify]: Extracting #3: cost 14 inf + 0
1553944526.807 * * [simplify]: Extracting #4: cost 14 inf + 3
1553944526.807 * * [simplify]: Extracting #5: cost 21 inf + 931
1553944526.807 * * [simplify]: Extracting #6: cost 20 inf + 1142
1553944526.808 * * [simplify]: Extracting #7: cost 9 inf + 2141
1553944526.809 * * [simplify]: Extracting #8: cost 2 inf + 4634
1553944526.810 * * [simplify]: Extracting #9: cost 0 inf + 5837
1553944526.811 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (sqrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))))
1553944526.811 * [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))))))))
1553944526.812 * * * * [progress]: [ 52 / 107 ] 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)))))))>
1553944526.812 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) 1)
1553944526.812 * * [simplify]: iters left: 4 (6 enodes)
1553944526.815 * * [simplify]: iters left: 3 (18 enodes)
1553944526.821 * * [simplify]: iters left: 2 (20 enodes)
1553944526.827 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.827 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.827 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944526.828 * * [simplify]: Extracting #3: cost 4 inf + 3
1553944526.828 * * [simplify]: Extracting #4: cost 0 inf + 931
1553944526.828 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553944526.828 * [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)))))))
1553944526.828 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944526.828 * * [simplify]: iters left: 6 (16 enodes)
1553944526.837 * * [simplify]: iters left: 5 (58 enodes)
1553944526.855 * * [simplify]: iters left: 4 (74 enodes)
1553944526.869 * * [simplify]: iters left: 3 (88 enodes)
1553944526.880 * * [simplify]: iters left: 2 (89 enodes)
1553944526.891 * * [simplify]: iters left: 1 (91 enodes)
1553944526.905 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.905 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944526.905 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944526.905 * * [simplify]: Extracting #3: cost 27 inf + 1
1553944526.905 * * [simplify]: Extracting #4: cost 27 inf + 7
1553944526.906 * * [simplify]: Extracting #5: cost 14 inf + 1810
1553944526.907 * * [simplify]: Extracting #6: cost 2 inf + 4267
1553944526.908 * * [simplify]: Extracting #7: cost 0 inf + 5349
1553944526.910 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944526.910 * [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))))))
1553944526.910 * * * * [progress]: [ 53 / 107 ] 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)))))))>
1553944526.910 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) 1)
1553944526.911 * * [simplify]: iters left: 4 (6 enodes)
1553944526.914 * * [simplify]: iters left: 3 (18 enodes)
1553944526.920 * * [simplify]: iters left: 2 (20 enodes)
1553944526.926 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944526.926 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944526.927 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944526.927 * * [simplify]: Extracting #3: cost 4 inf + 3
1553944526.927 * * [simplify]: Extracting #4: cost 0 inf + 931
1553944526.927 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553944526.927 * [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)))))))
1553944526.928 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944526.928 * * [simplify]: iters left: 6 (16 enodes)
1553944526.937 * * [simplify]: iters left: 5 (58 enodes)
1553944526.955 * * [simplify]: iters left: 4 (74 enodes)
1553944526.977 * * [simplify]: iters left: 3 (88 enodes)
1553944526.995 * * [simplify]: iters left: 2 (89 enodes)
1553944527.006 * * [simplify]: iters left: 1 (91 enodes)
1553944527.017 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.017 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944527.017 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944527.017 * * [simplify]: Extracting #3: cost 27 inf + 1
1553944527.017 * * [simplify]: Extracting #4: cost 27 inf + 7
1553944527.019 * * [simplify]: Extracting #5: cost 14 inf + 1810
1553944527.019 * * [simplify]: Extracting #6: cost 2 inf + 4267
1553944527.020 * * [simplify]: Extracting #7: cost 0 inf + 5349
1553944527.021 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))
1553944527.021 * [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))))))
1553944527.021 * * * * [progress]: [ 54 / 107 ] 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)))))>
1553944527.021 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944527.021 * * [simplify]: iters left: 6 (14 enodes)
1553944527.029 * * [simplify]: iters left: 5 (51 enodes)
1553944527.045 * * [simplify]: iters left: 4 (62 enodes)
1553944527.058 * * [simplify]: iters left: 3 (74 enodes)
1553944527.068 * * [simplify]: iters left: 2 (75 enodes)
1553944527.077 * * [simplify]: iters left: 1 (77 enodes)
1553944527.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.091 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944527.091 * * [simplify]: Extracting #2: cost 13 inf + 1
1553944527.091 * * [simplify]: Extracting #3: cost 22 inf + 2
1553944527.091 * * [simplify]: Extracting #4: cost 20 inf + 7
1553944527.092 * * [simplify]: Extracting #5: cost 9 inf + 1772
1553944527.092 * * [simplify]: Extracting #6: cost 2 inf + 2764
1553944527.093 * * [simplify]: Extracting #7: cost 0 inf + 3343
1553944527.094 * [simplify]: Simplified to (* (sqrt (pow k -1/2)) (sqrt (* (* n 2) PI)))
1553944527.095 * [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)))))
1553944527.095 * [simplify]: Simplifying (/ (sqrt (pow k -1/2)) (pow (* (* n 2) PI) (/ k 2)))
1553944527.095 * * [simplify]: iters left: 6 (12 enodes)
1553944527.099 * * [simplify]: iters left: 5 (40 enodes)
1553944527.105 * * [simplify]: iters left: 4 (48 enodes)
1553944527.112 * * [simplify]: iters left: 3 (53 enodes)
1553944527.120 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.121 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.121 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944527.121 * * [simplify]: Extracting #3: cost 20 inf + 0
1553944527.121 * * [simplify]: Extracting #4: cost 17 inf + 47
1553944527.121 * * [simplify]: Extracting #5: cost 5 inf + 1183
1553944527.122 * * [simplify]: Extracting #6: cost 2 inf + 2394
1553944527.122 * * [simplify]: Extracting #7: cost 0 inf + 3353
1553944527.123 * [simplify]: Simplified to (/ (sqrt (pow k -1/2)) (pow (* PI (* n 2)) (/ k 2)))
1553944527.123 * [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)))))
1553944527.123 * * * * [progress]: [ 55 / 107 ] 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))))))))>
1553944527.124 * [simplify]: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944527.124 * * [simplify]: iters left: 6 (15 enodes)
1553944527.131 * * [simplify]: iters left: 5 (55 enodes)
1553944527.147 * * [simplify]: iters left: 4 (72 enodes)
1553944527.167 * * [simplify]: iters left: 3 (79 enodes)
1553944527.185 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.185 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944527.185 * * [simplify]: Extracting #2: cost 9 inf + 1
1553944527.185 * * [simplify]: Extracting #3: cost 11 inf + 1
1553944527.185 * * [simplify]: Extracting #4: cost 14 inf + 1
1553944527.185 * * [simplify]: Extracting #5: cost 25 inf + 1
1553944527.186 * * [simplify]: Extracting #6: cost 28 inf + 5
1553944527.186 * * [simplify]: Extracting #7: cost 17 inf + 549
1553944527.187 * * [simplify]: Extracting #8: cost 6 inf + 3534
1553944527.188 * * [simplify]: Extracting #9: cost 0 inf + 6790
1553944527.190 * [simplify]: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))
1553944527.190 * [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))))))))
1553944527.190 * [simplify]: Simplifying (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944527.190 * * [simplify]: iters left: 6 (16 enodes)
1553944527.199 * * [simplify]: iters left: 5 (56 enodes)
1553944527.216 * * [simplify]: iters left: 4 (71 enodes)
1553944527.237 * * [simplify]: iters left: 3 (78 enodes)
1553944527.258 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.258 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.258 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944527.258 * * [simplify]: Extracting #3: cost 10 inf + 2
1553944527.258 * * [simplify]: Extracting #4: cost 10 inf + 427
1553944527.258 * * [simplify]: Extracting #5: cost 21 inf + 427
1553944527.259 * * [simplify]: Extracting #6: cost 22 inf + 473
1553944527.259 * * [simplify]: Extracting #7: cost 7 inf + 2388
1553944527.261 * * [simplify]: Extracting #8: cost 0 inf + 5413
1553944527.262 * [simplify]: Simplified to (/ (pow k -1/2) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944527.262 * [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))))))))
1553944527.262 * * * * [progress]: [ 56 / 107 ] 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))))))))>
1553944527.262 * [simplify]: Simplifying (/ 1 (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944527.263 * * [simplify]: iters left: 6 (14 enodes)
1553944527.272 * * [simplify]: iters left: 5 (50 enodes)
1553944527.287 * * [simplify]: iters left: 4 (65 enodes)
1553944527.305 * * [simplify]: iters left: 3 (72 enodes)
1553944527.323 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.323 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.323 * * [simplify]: Extracting #2: cost 5 inf + 1
1553944527.323 * * [simplify]: Extracting #3: cost 7 inf + 1
1553944527.323 * * [simplify]: Extracting #4: cost 10 inf + 1
1553944527.323 * * [simplify]: Extracting #5: cost 21 inf + 1
1553944527.323 * * [simplify]: Extracting #6: cost 20 inf + 214
1553944527.324 * * [simplify]: Extracting #7: cost 13 inf + 590
1553944527.324 * * [simplify]: Extracting #8: cost 2 inf + 3454
1553944527.325 * * [simplify]: Extracting #9: cost 0 inf + 4406
1553944527.325 * [simplify]: Simplified to (/ 1 (sqrt (/ 1 (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))
1553944527.325 * [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))))))))
1553944527.326 * [simplify]: Simplifying (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944527.326 * * [simplify]: iters left: 6 (16 enodes)
1553944527.330 * * [simplify]: iters left: 5 (56 enodes)
1553944527.339 * * [simplify]: iters left: 4 (71 enodes)
1553944527.350 * * [simplify]: iters left: 3 (78 enodes)
1553944527.360 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.360 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.360 * * [simplify]: Extracting #2: cost 9 inf + 0
1553944527.360 * * [simplify]: Extracting #3: cost 10 inf + 2
1553944527.360 * * [simplify]: Extracting #4: cost 10 inf + 427
1553944527.360 * * [simplify]: Extracting #5: cost 21 inf + 427
1553944527.360 * * [simplify]: Extracting #6: cost 22 inf + 473
1553944527.361 * * [simplify]: Extracting #7: cost 7 inf + 2388
1553944527.361 * * [simplify]: Extracting #8: cost 0 inf + 5253
1553944527.362 * [simplify]: Simplified to (/ (pow k -1/2) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944527.362 * [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))))))))
1553944527.362 * * * * [progress]: [ 57 / 107 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.362 * [simplify]: Simplifying (/ 1 1)
1553944527.362 * * [simplify]: iters left: 2 (2 enodes)
1553944527.363 * * [simplify]: iters left: 1 (6 enodes)
1553944527.364 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.364 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944527.364 * [simplify]: Simplified to 1
1553944527.364 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944527.364 * [simplify]: Simplifying (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944527.364 * * [simplify]: iters left: 6 (15 enodes)
1553944527.369 * * [simplify]: iters left: 5 (55 enodes)
1553944527.388 * * [simplify]: iters left: 4 (71 enodes)
1553944527.410 * * [simplify]: iters left: 3 (85 enodes)
1553944527.432 * * [simplify]: iters left: 2 (86 enodes)
1553944527.443 * * [simplify]: iters left: 1 (88 enodes)
1553944527.454 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.454 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944527.454 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944527.454 * * [simplify]: Extracting #3: cost 23 inf + 3
1553944527.454 * * [simplify]: Extracting #4: cost 21 inf + 937
1553944527.454 * * [simplify]: Extracting #5: cost 9 inf + 1645
1553944527.455 * * [simplify]: Extracting #6: cost 4 inf + 2642
1553944527.455 * * [simplify]: Extracting #7: cost 0 inf + 4685
1553944527.456 * [simplify]: Simplified to (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944527.456 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944527.456 * * * * [progress]: [ 58 / 107 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.456 * [simplify]: Simplifying (/ 1 1)
1553944527.456 * * [simplify]: iters left: 2 (2 enodes)
1553944527.457 * * [simplify]: iters left: 1 (6 enodes)
1553944527.458 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.458 * * [simplify]: Extracting #1: cost 0 inf + 1
1553944527.458 * [simplify]: Simplified to 1
1553944527.458 * [simplify]: Simplified (2 1) to (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))
1553944527.458 * [simplify]: Simplifying (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944527.459 * * [simplify]: iters left: 6 (15 enodes)
1553944527.463 * * [simplify]: iters left: 5 (55 enodes)
1553944527.478 * * [simplify]: iters left: 4 (71 enodes)
1553944527.499 * * [simplify]: iters left: 3 (85 enodes)
1553944527.524 * * [simplify]: iters left: 2 (86 enodes)
1553944527.537 * * [simplify]: iters left: 1 (88 enodes)
1553944527.547 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.547 * * [simplify]: Extracting #1: cost 7 inf + 0
1553944527.547 * * [simplify]: Extracting #2: cost 14 inf + 1
1553944527.547 * * [simplify]: Extracting #3: cost 23 inf + 3
1553944527.548 * * [simplify]: Extracting #4: cost 21 inf + 937
1553944527.548 * * [simplify]: Extracting #5: cost 9 inf + 1645
1553944527.548 * * [simplify]: Extracting #6: cost 4 inf + 2642
1553944527.549 * * [simplify]: Extracting #7: cost 0 inf + 4685
1553944527.550 * [simplify]: Simplified to (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944527.550 * [simplify]: Simplified (2 2) to (λ (k n) (* 1 (* (pow k -1/2) (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944527.550 * * * * [progress]: [ 59 / 107 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2))) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))>
1553944527.550 * [simplify]: Simplifying (/ 1 (/ 1 (pow (* (* n 2) PI) 1/2)))
1553944527.550 * * [simplify]: iters left: 6 (10 enodes)
1553944527.553 * * [simplify]: iters left: 5 (37 enodes)
1553944527.559 * * [simplify]: iters left: 4 (48 enodes)
1553944527.566 * * [simplify]: iters left: 3 (57 enodes)
1553944527.573 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.573 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944527.573 * * [simplify]: Extracting #2: cost 12 inf + 2
1553944527.573 * * [simplify]: Extracting #3: cost 7 inf + 337
1553944527.573 * * [simplify]: Extracting #4: cost 0 inf + 997
1553944527.574 * [simplify]: Simplified to (sqrt (* (* 2 n) PI))
1553944527.574 * [simplify]: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))))
1553944527.574 * [simplify]: Simplifying (/ (pow k -1/2) (pow (* (* n 2) PI) (/ k 2)))
1553944527.574 * * [simplify]: iters left: 6 (11 enodes)
1553944527.577 * * [simplify]: iters left: 5 (37 enodes)
1553944527.582 * * [simplify]: iters left: 4 (45 enodes)
1553944527.588 * * [simplify]: iters left: 3 (50 enodes)
1553944527.603 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.603 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.604 * * [simplify]: Extracting #2: cost 10 inf + 0
1553944527.604 * * [simplify]: Extracting #3: cost 16 inf + 2
1553944527.604 * * [simplify]: Extracting #4: cost 7 inf + 1056
1553944527.605 * * [simplify]: Extracting #5: cost 0 inf + 2769
1553944527.605 * [simplify]: Simplified to (/ (pow k -1/2) (pow (* 2 (* n PI)) (/ k 2)))
1553944527.605 * [simplify]: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* 2 (* n PI)) (/ k 2)))))
1553944527.605 * * * * [progress]: [ 60 / 107 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.606 * * * * [progress]: [ 61 / 107 ] simplifiying candidate #<alt (λ (k n) (* (pow k -1/2) (/ 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.606 * * * * [progress]: [ 62 / 107 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow k -1/2))))>
1553944527.606 * * * * [progress]: [ 63 / 107 ] 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)))))))>
1553944527.606 * [simplify]: Simplifying (cbrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944527.606 * * [simplify]: iters left: 6 (13 enodes)
1553944527.613 * * [simplify]: iters left: 5 (47 enodes)
1553944527.629 * * [simplify]: iters left: 4 (62 enodes)
1553944527.647 * * [simplify]: iters left: 3 (69 enodes)
1553944527.663 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.663 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944527.663 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944527.663 * * [simplify]: Extracting #3: cost 8 inf + 1
1553944527.663 * * [simplify]: Extracting #4: cost 19 inf + 1
1553944527.663 * * [simplify]: Extracting #5: cost 17 inf + 297
1553944527.664 * * [simplify]: Extracting #6: cost 10 inf + 632
1553944527.664 * * [simplify]: Extracting #7: cost 2 inf + 2996
1553944527.664 * * [simplify]: Extracting #8: cost 0 inf + 3494
1553944527.665 * [simplify]: Simplified to (cbrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553944527.665 * [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)))))))
1553944527.665 * * * * [progress]: [ 64 / 107 ] 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)))))))>
1553944527.665 * [simplify]: Simplifying (sqrt (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944527.665 * * [simplify]: iters left: 6 (13 enodes)
1553944527.669 * * [simplify]: iters left: 5 (47 enodes)
1553944527.676 * * [simplify]: iters left: 4 (62 enodes)
1553944527.685 * * [simplify]: iters left: 3 (69 enodes)
1553944527.694 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.694 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944527.694 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944527.694 * * [simplify]: Extracting #3: cost 8 inf + 1
1553944527.694 * * [simplify]: Extracting #4: cost 19 inf + 1
1553944527.694 * * [simplify]: Extracting #5: cost 17 inf + 297
1553944527.694 * * [simplify]: Extracting #6: cost 10 inf + 632
1553944527.695 * * [simplify]: Extracting #7: cost 2 inf + 2916
1553944527.695 * * [simplify]: Extracting #8: cost 0 inf + 3414
1553944527.696 * [simplify]: Simplified to (sqrt (/ 1 (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1553944527.696 * [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)))))))
1553944527.696 * * * * [progress]: [ 65 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944527.696 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944527.696 * * [simplify]: iters left: 6 (12 enodes)
1553944527.701 * * [simplify]: iters left: 5 (44 enodes)
1553944527.715 * * [simplify]: iters left: 4 (59 enodes)
1553944527.734 * * [simplify]: iters left: 3 (66 enodes)
1553944527.751 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.751 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.751 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944527.751 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944527.751 * * [simplify]: Extracting #4: cost 15 inf + 297
1553944527.752 * * [simplify]: Extracting #5: cost 8 inf + 673
1553944527.752 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553944527.753 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553944527.754 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944527.754 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944527.754 * * * * [progress]: [ 66 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944527.754 * [simplify]: Simplifying (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944527.754 * * [simplify]: iters left: 6 (12 enodes)
1553944527.761 * * [simplify]: iters left: 5 (44 enodes)
1553944527.776 * * [simplify]: iters left: 4 (59 enodes)
1553944527.793 * * [simplify]: iters left: 3 (66 enodes)
1553944527.808 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.808 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.808 * * [simplify]: Extracting #2: cost 6 inf + 1
1553944527.808 * * [simplify]: Extracting #3: cost 17 inf + 1
1553944527.808 * * [simplify]: Extracting #4: cost 15 inf + 297
1553944527.809 * * [simplify]: Extracting #5: cost 8 inf + 673
1553944527.809 * * [simplify]: Extracting #6: cost 1 inf + 2127
1553944527.810 * * [simplify]: Extracting #7: cost 0 inf + 2502
1553944527.811 * [simplify]: Simplified to (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))
1553944527.811 * [simplify]: Simplified (2 2) to (λ (k n) (/ (/ (pow k -1/2) 1) (/ 1 (pow (* n (* PI 2)) (- 1/2 (/ k 2))))))
1553944527.811 * * * * [progress]: [ 67 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) 1/2))) (pow (* (* n 2) PI) (/ k 2))))>
1553944527.811 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944527.811 * * [simplify]: iters left: 5 (8 enodes)
1553944527.815 * * [simplify]: iters left: 4 (28 enodes)
1553944527.823 * * [simplify]: iters left: 3 (36 enodes)
1553944527.833 * * [simplify]: iters left: 2 (41 enodes)
1553944527.842 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.842 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.842 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944527.842 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944527.842 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944527.842 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944527.843 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944527.843 * [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))))
1553944527.843 * * * * [progress]: [ 68 / 107 ] 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)))))>
1553944527.843 * [simplify]: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553944527.843 * * [simplify]: iters left: 4 (5 enodes)
1553944527.844 * * [simplify]: iters left: 3 (15 enodes)
1553944527.847 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.847 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944527.847 * * [simplify]: Extracting #2: cost 5 inf + 0
1553944527.847 * * [simplify]: Extracting #3: cost 8 inf + 0
1553944527.847 * * [simplify]: Extracting #4: cost 6 inf + 2
1553944527.847 * * [simplify]: Extracting #5: cost 0 inf + 1674
1553944527.847 * [simplify]: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2)))
1553944527.847 * [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)))))
1553944527.847 * * * * [progress]: [ 69 / 107 ] 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)))))>
1553944527.847 * [simplify]: Simplifying (sqrt (pow k -1/2))
1553944527.848 * * [simplify]: iters left: 2 (4 enodes)
1553944527.849 * * [simplify]: iters left: 1 (12 enodes)
1553944527.851 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.851 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944527.851 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944527.851 * * [simplify]: Extracting #3: cost 4 inf + 2
1553944527.851 * * [simplify]: Extracting #4: cost 0 inf + 930
1553944527.851 * [simplify]: Simplified to (sqrt (pow k -1/2))
1553944527.851 * [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)))))
1553944527.851 * * * * [progress]: [ 70 / 107 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow k -1/2))))>
1553944527.851 * * * * [progress]: [ 71 / 107 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow k -1/2) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))>
1553944527.851 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944527.851 * * [simplify]: iters left: 5 (10 enodes)
1553944527.854 * * [simplify]: iters left: 4 (36 enodes)
1553944527.861 * * [simplify]: iters left: 3 (49 enodes)
1553944527.867 * * [simplify]: iters left: 2 (56 enodes)
1553944527.876 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.876 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.876 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944527.876 * * [simplify]: Extracting #3: cost 18 inf + 4
1553944527.876 * * [simplify]: Extracting #4: cost 7 inf + 630
1553944527.877 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553944527.878 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944527.878 * [simplify]: Simplified (2 2) to (λ (k n) (* (/ (pow k -1/2) 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
1553944527.878 * * * * [progress]: [ 72 / 107 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow k -1/2) (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944527.878 * * * * [progress]: [ 73 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) -1)))>
1553944527.878 * * * * [progress]: [ 74 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (- (- 1/2 (/ k 2))))))>
1553944527.878 * [simplify]: Simplifying (- (- 1/2 (/ k 2)))
1553944527.879 * * [simplify]: iters left: 6 (6 enodes)
1553944527.882 * * [simplify]: iters left: 5 (20 enodes)
1553944527.889 * * [simplify]: iters left: 4 (29 enodes)
1553944527.898 * * [simplify]: iters left: 3 (36 enodes)
1553944527.907 * * [simplify]: iters left: 2 (37 enodes)
1553944527.912 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.912 * * [simplify]: Extracting #1: cost 6 inf + 0
1553944527.912 * * [simplify]: Extracting #2: cost 12 inf + 1
1553944527.912 * * [simplify]: Extracting #3: cost 8 inf + 129
1553944527.912 * * [simplify]: Extracting #4: cost 1 inf + 625
1553944527.913 * * [simplify]: Extracting #5: cost 0 inf + 666
1553944527.913 * [simplify]: Simplified to (+ (/ k 2) -1/2)
1553944527.913 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))
1553944527.913 * * * * [progress]: [ 75 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (pow (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)))>
1553944527.913 * * * * [progress]: [ 76 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944527.913 * * * * [progress]: [ 77 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))))))>
1553944527.913 * * * * [progress]: [ 78 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944527.913 * * * * [progress]: [ 79 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (exp (log (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944527.913 * * * * [progress]: [ 80 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (log (exp (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944527.913 * * * * [progress]: [ 81 / 107 ] 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))))))))>
1553944527.913 * * * * [progress]: [ 82 / 107 ] 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))))))))>
1553944527.913 * * * * [progress]: [ 83 / 107 ] 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))))))))>
1553944527.913 * * * * [progress]: [ 84 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (- 1) (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.913 * * * * [progress]: [ 85 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.913 * * * * [progress]: [ 86 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* 1 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
1553944527.913 * * * * [progress]: [ 87 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1))))>
1553944527.914 * * * * [progress]: [ 88 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944527.914 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944527.914 * * [simplify]: iters left: 5 (9 enodes)
1553944527.916 * * [simplify]: iters left: 4 (33 enodes)
1553944527.921 * * [simplify]: iters left: 3 (43 enodes)
1553944527.927 * * [simplify]: iters left: 2 (48 enodes)
1553944527.934 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.934 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.934 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944527.934 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944527.935 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944527.935 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944527.936 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944527.937 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944527.937 * [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))))))
1553944527.937 * * * * [progress]: [ 89 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (- (/ k 2))))))>
1553944527.937 * [simplify]: Simplifying (pow (* (* n 2) PI) (- (/ k 2)))
1553944527.937 * * [simplify]: iters left: 5 (9 enodes)
1553944527.942 * * [simplify]: iters left: 4 (33 enodes)
1553944527.951 * * [simplify]: iters left: 3 (43 enodes)
1553944527.962 * * [simplify]: iters left: 2 (48 enodes)
1553944527.973 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.973 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.973 * * [simplify]: Extracting #2: cost 14 inf + 0
1553944527.973 * * [simplify]: Extracting #3: cost 16 inf + 45
1553944527.973 * * [simplify]: Extracting #4: cost 10 inf + 297
1553944527.974 * * [simplify]: Extracting #5: cost 4 inf + 629
1553944527.974 * * [simplify]: Extracting #6: cost 0 inf + 1500
1553944527.974 * [simplify]: Simplified to (pow (* (* PI 2) n) (- (/ k 2)))
1553944527.974 * [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))))))
1553944527.974 * * * * [progress]: [ 90 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))>
1553944527.975 * [simplify]: Simplifying (pow PI (- 1/2 (/ k 2)))
1553944527.975 * * [simplify]: iters left: 5 (7 enodes)
1553944527.977 * * [simplify]: iters left: 4 (23 enodes)
1553944527.980 * * [simplify]: iters left: 3 (28 enodes)
1553944527.984 * * [simplify]: iters left: 2 (30 enodes)
1553944527.989 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944527.989 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944527.989 * * [simplify]: Extracting #2: cost 7 inf + 1
1553944527.989 * * [simplify]: Extracting #3: cost 11 inf + 2
1553944527.989 * * [simplify]: Extracting #4: cost 8 inf + 127
1553944527.989 * * [simplify]: Extracting #5: cost 3 inf + 417
1553944527.989 * * [simplify]: Extracting #6: cost 1 inf + 794
1553944527.989 * * [simplify]: Extracting #7: cost 0 inf + 1088
1553944527.989 * [simplify]: Simplified to (pow PI (- 1/2 (/ k 2)))
1553944527.989 * [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))))))
1553944527.989 * * * * [progress]: [ 91 / 107 ] 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)))))))>
1553944527.990 * [simplify]: Simplifying (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944527.990 * * [simplify]: iters left: 6 (11 enodes)
1553944527.993 * * [simplify]: iters left: 5 (39 enodes)
1553944527.999 * * [simplify]: iters left: 4 (52 enodes)
1553944528.014 * * [simplify]: iters left: 3 (59 enodes)
1553944528.029 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.029 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944528.029 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944528.029 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944528.029 * * [simplify]: Extracting #4: cost 19 inf + 46
1553944528.030 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553944528.031 * * [simplify]: Extracting #6: cost 0 inf + 2579
1553944528.032 * [simplify]: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553944528.032 * [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)))))))
1553944528.032 * * * * [progress]: [ 92 / 107 ] 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)))))))>
1553944528.032 * [simplify]: Simplifying (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
1553944528.032 * * [simplify]: iters left: 6 (11 enodes)
1553944528.038 * * [simplify]: iters left: 5 (39 enodes)
1553944528.049 * * [simplify]: iters left: 4 (52 enodes)
1553944528.063 * * [simplify]: iters left: 3 (59 enodes)
1553944528.078 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.078 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944528.078 * * [simplify]: Extracting #2: cost 6 inf + 0
1553944528.078 * * [simplify]: Extracting #3: cost 17 inf + 0
1553944528.078 * * [simplify]: Extracting #4: cost 19 inf + 46
1553944528.079 * * [simplify]: Extracting #5: cost 7 inf + 1087
1553944528.079 * * [simplify]: Extracting #6: cost 0 inf + 2499
1553944528.080 * [simplify]: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1553944528.080 * [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)))))))
1553944528.080 * * * * [progress]: [ 93 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ (/ 1 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
1553944528.081 * [simplify]: Simplifying (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944528.081 * * [simplify]: iters left: 5 (10 enodes)
1553944528.086 * * [simplify]: iters left: 4 (36 enodes)
1553944528.096 * * [simplify]: iters left: 3 (49 enodes)
1553944528.111 * * [simplify]: iters left: 2 (56 enodes)
1553944528.123 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.123 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944528.123 * * [simplify]: Extracting #2: cost 15 inf + 0
1553944528.123 * * [simplify]: Extracting #3: cost 18 inf + 4
1553944528.123 * * [simplify]: Extracting #4: cost 7 inf + 630
1553944528.124 * * [simplify]: Extracting #5: cost 0 inf + 1669
1553944528.124 * [simplify]: Simplified to (pow (* (* n 2) PI) (- 1/2 (/ k 2)))
1553944528.124 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ (/ 1 1) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))
1553944528.124 * * * * [progress]: [ 94 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (* (/ 1 (pow (* (* n 2) PI) 1/2)) (pow (* (* n 2) PI) (/ k 2)))))>
1553944528.124 * [simplify]: Simplifying (pow (* (* n 2) PI) (/ k 2))
1553944528.125 * * [simplify]: iters left: 5 (8 enodes)
1553944528.127 * * [simplify]: iters left: 4 (28 enodes)
1553944528.131 * * [simplify]: iters left: 3 (36 enodes)
1553944528.136 * * [simplify]: iters left: 2 (41 enodes)
1553944528.141 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.141 * * [simplify]: Extracting #1: cost 4 inf + 0
1553944528.141 * * [simplify]: Extracting #2: cost 13 inf + 0
1553944528.141 * * [simplify]: Extracting #3: cost 12 inf + 4
1553944528.141 * * [simplify]: Extracting #4: cost 3 inf + 756
1553944528.142 * * [simplify]: Extracting #5: cost 0 inf + 1174
1553944528.142 * [simplify]: Simplified to (pow (* (* n 2) PI) (/ k 2))
1553944528.142 * [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)))))
1553944528.142 * * * * [progress]: [ 95 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (posit16->real (real->posit16 (/ 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))))>
1553944528.142 * * * * [progress]: [ 96 / 107 ] 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))))))))>
1553944528.142 * [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)))))
1553944528.142 * * [simplify]: iters left: 6 (37 enodes)
1553944528.152 * * [simplify]: iters left: 5 (179 enodes)
1553944528.190 * * [simplify]: iters left: 4 (458 enodes)
1553944528.379 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.380 * * [simplify]: Extracting #1: cost 57 inf + 0
1553944528.381 * * [simplify]: Extracting #2: cost 287 inf + 0
1553944528.385 * * [simplify]: Extracting #3: cost 485 inf + 158
1553944528.390 * * [simplify]: Extracting #4: cost 473 inf + 4949
1553944528.410 * * [simplify]: Extracting #5: cost 294 inf + 68227
1553944528.487 * * [simplify]: Extracting #6: cost 43 inf + 204764
1553944528.562 * * [simplify]: Extracting #7: cost 0 inf + 227627
1553944528.627 * * [simplify]: Extracting #8: cost 0 inf + 222950
1553944528.696 * * [simplify]: Extracting #9: cost 0 inf + 222310
1553944528.767 * [simplify]: Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1553944528.767 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2))))))))))))
1553944528.768 * * * * [progress]: [ 97 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553944528.768 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1553944528.768 * * [simplify]: iters left: 6 (15 enodes)
1553944528.777 * * [simplify]: iters left: 5 (63 enodes)
1553944528.797 * * [simplify]: iters left: 4 (108 enodes)
1553944528.838 * * [simplify]: iters left: 3 (260 enodes)
1553944528.953 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944528.953 * * [simplify]: Extracting #1: cost 17 inf + 0
1553944528.954 * * [simplify]: Extracting #2: cost 115 inf + 0
1553944528.955 * * [simplify]: Extracting #3: cost 221 inf + 4
1553944528.958 * * [simplify]: Extracting #4: cost 174 inf + 5827
1553944528.970 * * [simplify]: Extracting #5: cost 46 inf + 35251
1553944528.986 * * [simplify]: Extracting #6: cost 0 inf + 47711
1553944529.002 * * [simplify]: Extracting #7: cost 0 inf + 47571
1553944529.016 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k)))
1553944529.016 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* n (* 2 PI)) (- 1/2 (* 1/2 k))))))
1553944529.016 * * * * [progress]: [ 98 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553944529.016 * [simplify]: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1553944529.017 * * [simplify]: iters left: 6 (15 enodes)
1553944529.021 * * [simplify]: iters left: 5 (60 enodes)
1553944529.034 * * [simplify]: iters left: 4 (111 enodes)
1553944529.061 * * [simplify]: iters left: 3 (294 enodes)
1553944529.206 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944529.206 * * [simplify]: Extracting #1: cost 16 inf + 0
1553944529.207 * * [simplify]: Extracting #2: cost 142 inf + 0
1553944529.209 * * [simplify]: Extracting #3: cost 317 inf + 187
1553944529.212 * * [simplify]: Extracting #4: cost 290 inf + 2919
1553944529.224 * * [simplify]: Extracting #5: cost 105 inf + 47243
1553944529.245 * * [simplify]: Extracting #6: cost 3 inf + 79409
1553944529.259 * * [simplify]: Extracting #7: cost 0 inf + 77357
1553944529.289 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k)))
1553944529.289 * [simplify]: Simplified (2 2 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (/ (* -2 PI) (/ -1 n)) (- 1/2 (* 1/2 k))))))
1553944529.289 * * * * [progress]: [ 99 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944529.289 * [simplify]: Simplifying (* 2 (* n PI))
1553944529.289 * * [simplify]: iters left: 4 (5 enodes)
1553944529.293 * * [simplify]: iters left: 3 (19 enodes)
1553944529.299 * * [simplify]: iters left: 2 (27 enodes)
1553944529.307 * * [simplify]: iters left: 1 (32 enodes)
1553944529.314 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944529.314 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944529.314 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944529.314 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944529.314 * [simplify]: Simplified to (* (* PI n) 2)
1553944529.315 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944529.315 * * * * [progress]: [ 100 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944529.315 * [simplify]: Simplifying (* 2 (* n PI))
1553944529.315 * * [simplify]: iters left: 4 (5 enodes)
1553944529.318 * * [simplify]: iters left: 3 (19 enodes)
1553944529.324 * * [simplify]: iters left: 2 (27 enodes)
1553944529.332 * * [simplify]: iters left: 1 (32 enodes)
1553944529.338 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944529.338 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944529.339 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944529.339 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944529.339 * [simplify]: Simplified to (* (* PI n) 2)
1553944529.339 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944529.339 * * * * [progress]: [ 101 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))>
1553944529.339 * [simplify]: Simplifying (* 2 (* n PI))
1553944529.339 * * [simplify]: iters left: 4 (5 enodes)
1553944529.341 * * [simplify]: iters left: 3 (19 enodes)
1553944529.343 * * [simplify]: iters left: 2 (27 enodes)
1553944529.347 * * [simplify]: iters left: 1 (32 enodes)
1553944529.351 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944529.351 * * [simplify]: Extracting #1: cost 8 inf + 0
1553944529.351 * * [simplify]: Extracting #2: cost 7 inf + 45
1553944529.352 * * [simplify]: Extracting #3: cost 0 inf + 421
1553944529.353 * [simplify]: Simplified to (* (* PI n) 2)
1553944529.353 * [simplify]: Simplified (2 2 2 1) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))
1553944529.353 * * * * [progress]: [ 102 / 107 ] 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))))))))))))))>
1553944529.353 * [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)))))))))))))
1553944529.353 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944529.353 * * * * [progress]: [ 103 / 107 ] 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)))))))))>
1553944529.353 * [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))))))))
1553944529.353 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944529.353 * * * * [progress]: [ 104 / 107 ] 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)))))))))>
1553944529.354 * [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))))))))
1553944529.354 * [simplify]: Simplified (2) to (λ (k n) +nan.0)
1553944529.354 * * * * [progress]: [ 105 / 107 ] 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))))))))))))))>
1553944529.354 * [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))))))))))))
1553944529.354 * * [simplify]: iters left: 6 (39 enodes)
1553944529.365 * * [simplify]: iters left: 5 (183 enodes)
1553944529.411 * * [simplify]: iters left: 4 (434 enodes)
1553944529.616 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944529.616 * * [simplify]: Extracting #1: cost 41 inf + 0
1553944529.618 * * [simplify]: Extracting #2: cost 224 inf + 0
1553944529.621 * * [simplify]: Extracting #3: cost 444 inf + 200
1553944529.625 * * [simplify]: Extracting #4: cost 452 inf + 4352
1553944529.642 * * [simplify]: Extracting #5: cost 268 inf + 58241
1553944529.703 * * [simplify]: Extracting #6: cost 38 inf + 168493
1553944529.796 * * [simplify]: Extracting #7: cost 0 inf + 198158
1553944529.855 * * [simplify]: Extracting #8: cost 0 inf + 197934
1553944529.913 * [simplify]: Simplified to (+ (* (+ (/ (* (log n) k) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (/ (* k (log (* PI 2))) (exp (* 1/2 (+ (log (* PI 2)) (log n)))))) 1/2) (+ (+ (/ (* (log (* PI 2)) (* (* (log n) (* k k)) 1/4)) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (/ 1 (exp (* 1/2 (+ (log (* PI 2)) (log n)))))) (+ (/ (* (* (* (log n) k) (* (log n) k)) 1/8) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (* (/ (* (* k k) (* (log (* PI 2)) (log (* PI 2)))) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) 1/8))))
1553944529.913 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (+ (* (+ (/ (* (log n) k) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (/ (* k (log (* PI 2))) (exp (* 1/2 (+ (log (* PI 2)) (log n)))))) 1/2) (+ (+ (/ (* (log (* PI 2)) (* (* (log n) (* k k)) 1/4)) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (/ 1 (exp (* 1/2 (+ (log (* PI 2)) (log n)))))) (+ (/ (* (* (* (log n) k) (* (log n) k)) 1/8) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) (* (/ (* (* k k) (* (log (* PI 2)) (log (* PI 2)))) (exp (* 1/2 (+ (log (* PI 2)) (log n))))) 1/8))))))
1553944529.914 * * * * [progress]: [ 106 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1553944529.914 * [simplify]: Simplifying (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))))
1553944529.914 * * [simplify]: iters left: 6 (16 enodes)
1553944529.919 * * [simplify]: iters left: 5 (68 enodes)
1553944529.931 * * [simplify]: iters left: 4 (121 enodes)
1553944529.955 * * [simplify]: iters left: 3 (332 enodes)
1553944530.091 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944530.091 * * [simplify]: Extracting #1: cost 23 inf + 0
1553944530.091 * * [simplify]: Extracting #2: cost 110 inf + 1
1553944530.092 * * [simplify]: Extracting #3: cost 266 inf + 189
1553944530.094 * * [simplify]: Extracting #4: cost 261 inf + 5704
1553944530.100 * * [simplify]: Extracting #5: cost 91 inf + 45698
1553944530.115 * * [simplify]: Extracting #6: cost 5 inf + 67620
1553944530.139 * * [simplify]: Extracting #7: cost 0 inf + 68509
1553944530.153 * [simplify]: Simplified to (pow (* n (* 2 PI)) (- -1/2 (* k -1/2)))
1553944530.153 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (pow (* n (* 2 PI)) (- -1/2 (* k -1/2)))))
1553944530.153 * * * * [progress]: [ 107 / 107 ] simplifiying candidate #<alt (λ (k n) (/ (pow k -1/2) (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1553944530.153 * [simplify]: Simplifying (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))
1553944530.154 * * [simplify]: iters left: 6 (17 enodes)
1553944530.159 * * [simplify]: iters left: 5 (70 enodes)
1553944530.174 * * [simplify]: iters left: 4 (131 enodes)
1553944530.202 * * [simplify]: iters left: 3 (381 enodes)
1553944530.395 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944530.395 * * [simplify]: Extracting #1: cost 25 inf + 0
1553944530.396 * * [simplify]: Extracting #2: cost 131 inf + 1
1553944530.397 * * [simplify]: Extracting #3: cost 352 inf + 76
1553944530.399 * * [simplify]: Extracting #4: cost 373 inf + 6054
1553944530.406 * * [simplify]: Extracting #5: cost 167 inf + 58925
1553944530.435 * * [simplify]: Extracting #6: cost 18 inf + 106363
1553944530.475 * * [simplify]: Extracting #7: cost 0 inf + 105506
1553944530.498 * * [simplify]: Extracting #8: cost 0 inf + 104474
1553944530.526 * [simplify]: Simplified to (pow (/ (* -2 PI) (/ -1 n)) (- -1/2 (* -1/2 k)))
1553944530.526 * [simplify]: Simplified (2 2) to (λ (k n) (/ (pow k -1/2) (pow (/ (* -2 PI) (/ -1 n)) (- -1/2 (* -1/2 k)))))
1553944530.526 * * * [progress]: adding candidates to table
1553944531.782 * [progress]: [Phase 3 of 3] Extracting.
1553944531.782 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ 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 (/ 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)) (* (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) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))> #<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) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>)
1553944531.783 * * * [regime-changes]: Trying 2 branch expressions: (n k)
1553944531.783 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ 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 (/ 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)) (* (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) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))> #<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) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>)
1553944531.836 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow k -1/2) (pow (* (* n 2) PI) (/ 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 (/ 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)) (* (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) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2))))> #<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) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>)
1553944531.925 * * * [regime]: Found split indices: #<option (#s(si 6 255))>
1553944531.926 * [simplify]: Simplifying (/ (pow k -1/2) (pow (* (* n 2) PI) (+ (/ k 2) -1/2)))
1553944531.926 * * [simplify]: iters left: 6 (12 enodes)
1553944531.926 * * [simplify]: iters left: 5 (15 enodes)
1553944531.927 * * [simplify]: Extracting #0: cost 1 inf + 0
1553944531.927 * * [simplify]: Extracting #1: cost 3 inf + 0
1553944531.927 * * [simplify]: Extracting #2: cost 7 inf + 0
1553944531.927 * * [simplify]: Extracting #3: cost 8 inf + 2
1553944531.927 * * [simplify]: Extracting #4: cost 8 inf + 215
1553944531.927 * * [simplify]: Extracting #5: cost 0 inf + 1467
1553944531.927 * [simplify]: Simplified to (/ (pow k -1/2) (pow (* (* n 2) PI) (+ -1/2 (/ k 2))))
1553944540.242 * [regime-testing]: Baseline error score: 0.34043063514054717
1553944540.244 * [regime-testing]: Oracle error score: 0.03869777883665731
1553944540.249 * [regime-testing]: End program error score: 0.34043063514054717