55.957 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.227 * * * [progress]: [2/2] Setting up program.
0.230 * [progress]: [Phase 2 of 3] Improving.
0.230 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.231 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.231 * * [simplify]: iteration 1: (13 enodes)
0.234 * * [simplify]: iteration 2: (31 enodes)
0.242 * * [simplify]: iteration 3: (62 enodes)
0.260 * * [simplify]: iteration 4: (124 enodes)
0.348 * * [simplify]: iteration 5: (330 enodes)
0.599 * * [simplify]: iteration 6: (831 enodes)
1.580 * * [simplify]: iteration 7: (1981 enodes)
8.443 * * [simplify]: Extracting #0: cost 1 inf + 0
8.443 * * [simplify]: Extracting #1: cost 118 inf + 0
8.447 * * [simplify]: Extracting #2: cost 496 inf + 1
8.451 * * [simplify]: Extracting #3: cost 580 inf + 50
8.457 * * [simplify]: Extracting #4: cost 537 inf + 17474
8.555 * * [simplify]: Extracting #5: cost 201 inf + 274545
8.767 * * [simplify]: Extracting #6: cost 0 inf + 448926
9.003 * * [simplify]: Extracting #7: cost 0 inf + 443910
9.214 * * [simplify]: Extracting #8: cost 0 inf + 443832
9.425 * [simplify]: Simplified to:
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
9.438 * * [progress]: iteration 1 / 4
9.438 * * * [progress]: picking best candidate
9.448 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
9.449 * * * [progress]: localizing error
9.471 * * * [progress]: generating rewritten candidates
9.471 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
9.485 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
9.498 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
9.521 * * * [progress]: generating series expansions
9.521 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
9.522 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
9.522 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
9.522 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
9.522 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
9.522 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
9.522 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
9.522 * [taylor]: Taking taylor expansion of 1/2 in k
9.522 * [backup-simplify]: Simplify 1/2 into 1/2
9.522 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.522 * [taylor]: Taking taylor expansion of 1 in k
9.522 * [backup-simplify]: Simplify 1 into 1
9.522 * [taylor]: Taking taylor expansion of k in k
9.522 * [backup-simplify]: Simplify 0 into 0
9.522 * [backup-simplify]: Simplify 1 into 1
9.522 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.522 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.522 * [taylor]: Taking taylor expansion of 2 in k
9.522 * [backup-simplify]: Simplify 2 into 2
9.522 * [taylor]: Taking taylor expansion of (* n PI) in k
9.522 * [taylor]: Taking taylor expansion of n in k
9.522 * [backup-simplify]: Simplify n into n
9.522 * [taylor]: Taking taylor expansion of PI in k
9.522 * [backup-simplify]: Simplify PI into PI
9.522 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.522 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.522 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.523 * [backup-simplify]: Simplify (- 0) into 0
9.523 * [backup-simplify]: Simplify (+ 1 0) into 1
9.523 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.523 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.523 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.523 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
9.523 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
9.523 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
9.523 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
9.524 * [taylor]: Taking taylor expansion of 1/2 in n
9.524 * [backup-simplify]: Simplify 1/2 into 1/2
9.524 * [taylor]: Taking taylor expansion of (- 1 k) in n
9.524 * [taylor]: Taking taylor expansion of 1 in n
9.524 * [backup-simplify]: Simplify 1 into 1
9.524 * [taylor]: Taking taylor expansion of k in n
9.524 * [backup-simplify]: Simplify k into k
9.524 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.524 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.524 * [taylor]: Taking taylor expansion of 2 in n
9.524 * [backup-simplify]: Simplify 2 into 2
9.524 * [taylor]: Taking taylor expansion of (* n PI) in n
9.524 * [taylor]: Taking taylor expansion of n in n
9.524 * [backup-simplify]: Simplify 0 into 0
9.524 * [backup-simplify]: Simplify 1 into 1
9.524 * [taylor]: Taking taylor expansion of PI in n
9.524 * [backup-simplify]: Simplify PI into PI
9.524 * [backup-simplify]: Simplify (* 0 PI) into 0
9.524 * [backup-simplify]: Simplify (* 2 0) into 0
9.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.526 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.527 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.527 * [backup-simplify]: Simplify (- k) into (- k)
9.527 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
9.527 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
9.528 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.528 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
9.529 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
9.529 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
9.529 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
9.529 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
9.529 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
9.529 * [taylor]: Taking taylor expansion of 1/2 in n
9.529 * [backup-simplify]: Simplify 1/2 into 1/2
9.529 * [taylor]: Taking taylor expansion of (- 1 k) in n
9.529 * [taylor]: Taking taylor expansion of 1 in n
9.529 * [backup-simplify]: Simplify 1 into 1
9.529 * [taylor]: Taking taylor expansion of k in n
9.529 * [backup-simplify]: Simplify k into k
9.529 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.529 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.529 * [taylor]: Taking taylor expansion of 2 in n
9.529 * [backup-simplify]: Simplify 2 into 2
9.529 * [taylor]: Taking taylor expansion of (* n PI) in n
9.529 * [taylor]: Taking taylor expansion of n in n
9.529 * [backup-simplify]: Simplify 0 into 0
9.529 * [backup-simplify]: Simplify 1 into 1
9.529 * [taylor]: Taking taylor expansion of PI in n
9.529 * [backup-simplify]: Simplify PI into PI
9.530 * [backup-simplify]: Simplify (* 0 PI) into 0
9.530 * [backup-simplify]: Simplify (* 2 0) into 0
9.531 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.532 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.532 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.532 * [backup-simplify]: Simplify (- k) into (- k)
9.532 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
9.532 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
9.533 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.534 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
9.535 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
9.535 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
9.535 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
9.535 * [taylor]: Taking taylor expansion of 1/2 in k
9.535 * [backup-simplify]: Simplify 1/2 into 1/2
9.535 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
9.535 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.535 * [taylor]: Taking taylor expansion of 1 in k
9.535 * [backup-simplify]: Simplify 1 into 1
9.535 * [taylor]: Taking taylor expansion of k in k
9.535 * [backup-simplify]: Simplify 0 into 0
9.535 * [backup-simplify]: Simplify 1 into 1
9.535 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
9.535 * [taylor]: Taking taylor expansion of (log n) in k
9.535 * [taylor]: Taking taylor expansion of n in k
9.535 * [backup-simplify]: Simplify n into n
9.535 * [backup-simplify]: Simplify (log n) into (log n)
9.535 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.535 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.535 * [taylor]: Taking taylor expansion of 2 in k
9.535 * [backup-simplify]: Simplify 2 into 2
9.535 * [taylor]: Taking taylor expansion of PI in k
9.535 * [backup-simplify]: Simplify PI into PI
9.536 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.536 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.536 * [backup-simplify]: Simplify (- 0) into 0
9.537 * [backup-simplify]: Simplify (+ 1 0) into 1
9.537 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.538 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
9.539 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
9.539 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.540 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.541 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.542 * [backup-simplify]: Simplify (- 0) into 0
9.543 * [backup-simplify]: Simplify (+ 0 0) into 0
9.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
9.544 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.544 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
9.545 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.545 * [taylor]: Taking taylor expansion of 0 in k
9.546 * [backup-simplify]: Simplify 0 into 0
9.546 * [backup-simplify]: Simplify 0 into 0
9.546 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
9.546 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.547 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.548 * [backup-simplify]: Simplify (+ 0 0) into 0
9.548 * [backup-simplify]: Simplify (- 1) into -1
9.548 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.549 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
9.550 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
9.552 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
9.554 * [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)))))))
9.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.555 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.557 * [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
9.557 * [backup-simplify]: Simplify (- 0) into 0
9.557 * [backup-simplify]: Simplify (+ 0 0) into 0
9.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
9.559 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.560 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.561 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.561 * [taylor]: Taking taylor expansion of 0 in k
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 0 into 0
9.561 * [backup-simplify]: Simplify 0 into 0
9.562 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
9.563 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.565 * [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
9.565 * [backup-simplify]: Simplify (+ 0 0) into 0
9.565 * [backup-simplify]: Simplify (- 0) into 0
9.565 * [backup-simplify]: Simplify (+ 0 0) into 0
9.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.570 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
9.573 * [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)))))
9.579 * [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)))))
9.579 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
9.579 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
9.579 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
9.580 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.580 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
9.580 * [taylor]: Taking taylor expansion of 1/2 in k
9.580 * [backup-simplify]: Simplify 1/2 into 1/2
9.580 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.580 * [taylor]: Taking taylor expansion of 1 in k
9.580 * [backup-simplify]: Simplify 1 into 1
9.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.580 * [taylor]: Taking taylor expansion of k in k
9.580 * [backup-simplify]: Simplify 0 into 0
9.580 * [backup-simplify]: Simplify 1 into 1
9.580 * [backup-simplify]: Simplify (/ 1 1) into 1
9.580 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.580 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.580 * [taylor]: Taking taylor expansion of 2 in k
9.580 * [backup-simplify]: Simplify 2 into 2
9.580 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.580 * [taylor]: Taking taylor expansion of PI in k
9.580 * [backup-simplify]: Simplify PI into PI
9.580 * [taylor]: Taking taylor expansion of n in k
9.580 * [backup-simplify]: Simplify n into n
9.580 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.580 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.580 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.580 * [backup-simplify]: Simplify (- 1) into -1
9.581 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.581 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
9.581 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.581 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
9.581 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
9.581 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.581 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.581 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
9.581 * [taylor]: Taking taylor expansion of 1/2 in n
9.581 * [backup-simplify]: Simplify 1/2 into 1/2
9.581 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.581 * [taylor]: Taking taylor expansion of 1 in n
9.581 * [backup-simplify]: Simplify 1 into 1
9.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.581 * [taylor]: Taking taylor expansion of k in n
9.581 * [backup-simplify]: Simplify k into k
9.581 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.581 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.582 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.582 * [taylor]: Taking taylor expansion of 2 in n
9.582 * [backup-simplify]: Simplify 2 into 2
9.582 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.582 * [taylor]: Taking taylor expansion of PI in n
9.582 * [backup-simplify]: Simplify PI into PI
9.582 * [taylor]: Taking taylor expansion of n in n
9.582 * [backup-simplify]: Simplify 0 into 0
9.582 * [backup-simplify]: Simplify 1 into 1
9.582 * [backup-simplify]: Simplify (/ PI 1) into PI
9.582 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.583 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.583 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.583 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.583 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
9.584 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.585 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.585 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.585 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
9.585 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.585 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.585 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
9.585 * [taylor]: Taking taylor expansion of 1/2 in n
9.585 * [backup-simplify]: Simplify 1/2 into 1/2
9.585 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.585 * [taylor]: Taking taylor expansion of 1 in n
9.585 * [backup-simplify]: Simplify 1 into 1
9.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.585 * [taylor]: Taking taylor expansion of k in n
9.585 * [backup-simplify]: Simplify k into k
9.585 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.585 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.585 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.586 * [taylor]: Taking taylor expansion of 2 in n
9.586 * [backup-simplify]: Simplify 2 into 2
9.586 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.586 * [taylor]: Taking taylor expansion of PI in n
9.586 * [backup-simplify]: Simplify PI into PI
9.586 * [taylor]: Taking taylor expansion of n in n
9.586 * [backup-simplify]: Simplify 0 into 0
9.586 * [backup-simplify]: Simplify 1 into 1
9.586 * [backup-simplify]: Simplify (/ PI 1) into PI
9.586 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.587 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.587 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.587 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.587 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
9.588 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.589 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.589 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.589 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
9.589 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
9.589 * [taylor]: Taking taylor expansion of 1/2 in k
9.589 * [backup-simplify]: Simplify 1/2 into 1/2
9.589 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
9.589 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.589 * [taylor]: Taking taylor expansion of 1 in k
9.589 * [backup-simplify]: Simplify 1 into 1
9.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.590 * [taylor]: Taking taylor expansion of k in k
9.590 * [backup-simplify]: Simplify 0 into 0
9.590 * [backup-simplify]: Simplify 1 into 1
9.590 * [backup-simplify]: Simplify (/ 1 1) into 1
9.590 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
9.590 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.590 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.590 * [taylor]: Taking taylor expansion of 2 in k
9.590 * [backup-simplify]: Simplify 2 into 2
9.590 * [taylor]: Taking taylor expansion of PI in k
9.590 * [backup-simplify]: Simplify PI into PI
9.590 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.591 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.591 * [taylor]: Taking taylor expansion of (log n) in k
9.591 * [taylor]: Taking taylor expansion of n in k
9.591 * [backup-simplify]: Simplify n into n
9.591 * [backup-simplify]: Simplify (log n) into (log n)
9.591 * [backup-simplify]: Simplify (- 1) into -1
9.591 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.591 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.592 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
9.593 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
9.596 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
9.597 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.598 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.599 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.600 * [backup-simplify]: Simplify (- 0) into 0
9.600 * [backup-simplify]: Simplify (+ 0 0) into 0
9.601 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
9.602 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.602 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.603 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.603 * [taylor]: Taking taylor expansion of 0 in k
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify 0 into 0
9.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.606 * [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
9.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.607 * [backup-simplify]: Simplify (- 0) into 0
9.607 * [backup-simplify]: Simplify (+ 0 0) into 0
9.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
9.609 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.610 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
9.611 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.611 * [taylor]: Taking taylor expansion of 0 in k
9.611 * [backup-simplify]: Simplify 0 into 0
9.611 * [backup-simplify]: Simplify 0 into 0
9.611 * [backup-simplify]: Simplify 0 into 0
9.611 * [backup-simplify]: Simplify 0 into 0
9.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.616 * [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
9.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.616 * [backup-simplify]: Simplify (- 0) into 0
9.616 * [backup-simplify]: Simplify (+ 0 0) into 0
9.617 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
9.618 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.619 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
9.621 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.621 * [taylor]: Taking taylor expansion of 0 in k
9.621 * [backup-simplify]: Simplify 0 into 0
9.621 * [backup-simplify]: Simplify 0 into 0
9.621 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
9.622 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
9.622 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
9.622 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.622 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.622 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.622 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.622 * [taylor]: Taking taylor expansion of 1/2 in k
9.622 * [backup-simplify]: Simplify 1/2 into 1/2
9.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.622 * [taylor]: Taking taylor expansion of k in k
9.622 * [backup-simplify]: Simplify 0 into 0
9.622 * [backup-simplify]: Simplify 1 into 1
9.622 * [backup-simplify]: Simplify (/ 1 1) into 1
9.622 * [taylor]: Taking taylor expansion of 1 in k
9.622 * [backup-simplify]: Simplify 1 into 1
9.622 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.622 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.622 * [taylor]: Taking taylor expansion of -2 in k
9.622 * [backup-simplify]: Simplify -2 into -2
9.622 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.623 * [taylor]: Taking taylor expansion of PI in k
9.623 * [backup-simplify]: Simplify PI into PI
9.623 * [taylor]: Taking taylor expansion of n in k
9.623 * [backup-simplify]: Simplify n into n
9.623 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.623 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.623 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.623 * [backup-simplify]: Simplify (+ 1 0) into 1
9.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.623 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.623 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.623 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.623 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.623 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.624 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.624 * [taylor]: Taking taylor expansion of 1/2 in n
9.624 * [backup-simplify]: Simplify 1/2 into 1/2
9.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.624 * [taylor]: Taking taylor expansion of k in n
9.624 * [backup-simplify]: Simplify k into k
9.624 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.624 * [taylor]: Taking taylor expansion of 1 in n
9.624 * [backup-simplify]: Simplify 1 into 1
9.624 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.624 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.624 * [taylor]: Taking taylor expansion of -2 in n
9.624 * [backup-simplify]: Simplify -2 into -2
9.624 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.624 * [taylor]: Taking taylor expansion of PI in n
9.624 * [backup-simplify]: Simplify PI into PI
9.624 * [taylor]: Taking taylor expansion of n in n
9.624 * [backup-simplify]: Simplify 0 into 0
9.624 * [backup-simplify]: Simplify 1 into 1
9.624 * [backup-simplify]: Simplify (/ PI 1) into PI
9.624 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.625 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.625 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.625 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.626 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.627 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.627 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.627 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.627 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.627 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.627 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.627 * [taylor]: Taking taylor expansion of 1/2 in n
9.627 * [backup-simplify]: Simplify 1/2 into 1/2
9.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.628 * [taylor]: Taking taylor expansion of k in n
9.628 * [backup-simplify]: Simplify k into k
9.628 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.628 * [taylor]: Taking taylor expansion of 1 in n
9.628 * [backup-simplify]: Simplify 1 into 1
9.628 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.628 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.628 * [taylor]: Taking taylor expansion of -2 in n
9.628 * [backup-simplify]: Simplify -2 into -2
9.628 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.628 * [taylor]: Taking taylor expansion of PI in n
9.628 * [backup-simplify]: Simplify PI into PI
9.628 * [taylor]: Taking taylor expansion of n in n
9.628 * [backup-simplify]: Simplify 0 into 0
9.628 * [backup-simplify]: Simplify 1 into 1
9.628 * [backup-simplify]: Simplify (/ PI 1) into PI
9.628 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.629 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.629 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.629 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.630 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.631 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.631 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.631 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
9.631 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
9.631 * [taylor]: Taking taylor expansion of 1/2 in k
9.631 * [backup-simplify]: Simplify 1/2 into 1/2
9.631 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
9.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.631 * [taylor]: Taking taylor expansion of k in k
9.631 * [backup-simplify]: Simplify 0 into 0
9.631 * [backup-simplify]: Simplify 1 into 1
9.632 * [backup-simplify]: Simplify (/ 1 1) into 1
9.632 * [taylor]: Taking taylor expansion of 1 in k
9.632 * [backup-simplify]: Simplify 1 into 1
9.632 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
9.632 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
9.632 * [taylor]: Taking taylor expansion of (* -2 PI) in k
9.632 * [taylor]: Taking taylor expansion of -2 in k
9.632 * [backup-simplify]: Simplify -2 into -2
9.632 * [taylor]: Taking taylor expansion of PI in k
9.632 * [backup-simplify]: Simplify PI into PI
9.632 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.633 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.633 * [taylor]: Taking taylor expansion of (log n) in k
9.633 * [taylor]: Taking taylor expansion of n in k
9.633 * [backup-simplify]: Simplify n into n
9.633 * [backup-simplify]: Simplify (log n) into (log n)
9.633 * [backup-simplify]: Simplify (+ 1 0) into 1
9.633 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.634 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
9.634 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
9.635 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
9.636 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.636 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.637 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.638 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.639 * [backup-simplify]: Simplify (+ 0 0) into 0
9.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
9.640 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.641 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
9.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.642 * [taylor]: Taking taylor expansion of 0 in k
9.642 * [backup-simplify]: Simplify 0 into 0
9.642 * [backup-simplify]: Simplify 0 into 0
9.642 * [backup-simplify]: Simplify 0 into 0
9.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.643 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.645 * [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
9.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.645 * [backup-simplify]: Simplify (+ 0 0) into 0
9.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
9.647 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.647 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
9.649 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.649 * [taylor]: Taking taylor expansion of 0 in k
9.649 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.649 * [backup-simplify]: Simplify 0 into 0
9.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.653 * [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
9.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.654 * [backup-simplify]: Simplify (+ 0 0) into 0
9.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
9.655 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.656 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
9.658 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.658 * [taylor]: Taking taylor expansion of 0 in k
9.658 * [backup-simplify]: Simplify 0 into 0
9.658 * [backup-simplify]: Simplify 0 into 0
9.659 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
9.659 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
9.659 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
9.659 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
9.659 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.659 * [taylor]: Taking taylor expansion of 2 in n
9.659 * [backup-simplify]: Simplify 2 into 2
9.659 * [taylor]: Taking taylor expansion of (* n PI) in n
9.659 * [taylor]: Taking taylor expansion of n in n
9.659 * [backup-simplify]: Simplify 0 into 0
9.659 * [backup-simplify]: Simplify 1 into 1
9.659 * [taylor]: Taking taylor expansion of PI in n
9.659 * [backup-simplify]: Simplify PI into PI
9.659 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.659 * [taylor]: Taking taylor expansion of 2 in n
9.659 * [backup-simplify]: Simplify 2 into 2
9.659 * [taylor]: Taking taylor expansion of (* n PI) in n
9.659 * [taylor]: Taking taylor expansion of n in n
9.659 * [backup-simplify]: Simplify 0 into 0
9.660 * [backup-simplify]: Simplify 1 into 1
9.660 * [taylor]: Taking taylor expansion of PI in n
9.660 * [backup-simplify]: Simplify PI into PI
9.660 * [backup-simplify]: Simplify (* 0 PI) into 0
9.660 * [backup-simplify]: Simplify (* 2 0) into 0
9.660 * [backup-simplify]: Simplify 0 into 0
9.661 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.662 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.662 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.663 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.663 * [backup-simplify]: Simplify 0 into 0
9.664 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.665 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.665 * [backup-simplify]: Simplify 0 into 0
9.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.667 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
9.667 * [backup-simplify]: Simplify 0 into 0
9.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.670 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
9.670 * [backup-simplify]: Simplify 0 into 0
9.672 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
9.674 * [backup-simplify]: Simplify 0 into 0
9.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
9.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
9.678 * [backup-simplify]: Simplify 0 into 0
9.678 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
9.679 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
9.679 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
9.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.679 * [taylor]: Taking taylor expansion of 2 in n
9.679 * [backup-simplify]: Simplify 2 into 2
9.679 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.679 * [taylor]: Taking taylor expansion of PI in n
9.679 * [backup-simplify]: Simplify PI into PI
9.679 * [taylor]: Taking taylor expansion of n in n
9.679 * [backup-simplify]: Simplify 0 into 0
9.679 * [backup-simplify]: Simplify 1 into 1
9.679 * [backup-simplify]: Simplify (/ PI 1) into PI
9.679 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.679 * [taylor]: Taking taylor expansion of 2 in n
9.679 * [backup-simplify]: Simplify 2 into 2
9.679 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.679 * [taylor]: Taking taylor expansion of PI in n
9.680 * [backup-simplify]: Simplify PI into PI
9.680 * [taylor]: Taking taylor expansion of n in n
9.680 * [backup-simplify]: Simplify 0 into 0
9.680 * [backup-simplify]: Simplify 1 into 1
9.680 * [backup-simplify]: Simplify (/ PI 1) into PI
9.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.681 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.683 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.683 * [backup-simplify]: Simplify 0 into 0
9.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.685 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.685 * [backup-simplify]: Simplify 0 into 0
9.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.687 * [backup-simplify]: Simplify 0 into 0
9.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.690 * [backup-simplify]: Simplify 0 into 0
9.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.694 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.695 * [backup-simplify]: Simplify 0 into 0
9.696 * [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
9.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.698 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
9.699 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
9.699 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
9.699 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.699 * [taylor]: Taking taylor expansion of -2 in n
9.699 * [backup-simplify]: Simplify -2 into -2
9.699 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.699 * [taylor]: Taking taylor expansion of PI in n
9.699 * [backup-simplify]: Simplify PI into PI
9.699 * [taylor]: Taking taylor expansion of n in n
9.699 * [backup-simplify]: Simplify 0 into 0
9.699 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (/ PI 1) into PI
9.700 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.700 * [taylor]: Taking taylor expansion of -2 in n
9.700 * [backup-simplify]: Simplify -2 into -2
9.700 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.700 * [taylor]: Taking taylor expansion of PI in n
9.700 * [backup-simplify]: Simplify PI into PI
9.700 * [taylor]: Taking taylor expansion of n in n
9.700 * [backup-simplify]: Simplify 0 into 0
9.700 * [backup-simplify]: Simplify 1 into 1
9.700 * [backup-simplify]: Simplify (/ PI 1) into PI
9.701 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.701 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.703 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.703 * [backup-simplify]: Simplify 0 into 0
9.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.705 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
9.705 * [backup-simplify]: Simplify 0 into 0
9.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.708 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.708 * [backup-simplify]: Simplify 0 into 0
9.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.710 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.710 * [backup-simplify]: Simplify 0 into 0
9.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.713 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
9.713 * [backup-simplify]: Simplify 0 into 0
9.714 * [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
9.716 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
9.716 * [backup-simplify]: Simplify 0 into 0
9.716 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
9.716 * * * * [progress]: [ 3 / 3 ] generating series at (2)
9.717 * [backup-simplify]: Simplify (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
9.717 * [approximate]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (n k) around 0
9.717 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
9.717 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
9.717 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
9.717 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
9.717 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k
9.717 * [taylor]: Taking taylor expansion of 1/2 in k
9.717 * [backup-simplify]: Simplify 1/2 into 1/2
9.717 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.717 * [taylor]: Taking taylor expansion of 1 in k
9.717 * [backup-simplify]: Simplify 1 into 1
9.718 * [taylor]: Taking taylor expansion of k in k
9.718 * [backup-simplify]: Simplify 0 into 0
9.718 * [backup-simplify]: Simplify 1 into 1
9.718 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
9.718 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
9.718 * [taylor]: Taking taylor expansion of 2 in k
9.718 * [backup-simplify]: Simplify 2 into 2
9.718 * [taylor]: Taking taylor expansion of (* n PI) in k
9.718 * [taylor]: Taking taylor expansion of n in k
9.718 * [backup-simplify]: Simplify n into n
9.718 * [taylor]: Taking taylor expansion of PI in k
9.718 * [backup-simplify]: Simplify PI into PI
9.718 * [backup-simplify]: Simplify (* n PI) into (* n PI)
9.718 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
9.718 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
9.718 * [backup-simplify]: Simplify (- 0) into 0
9.719 * [backup-simplify]: Simplify (+ 1 0) into 1
9.719 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.719 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
9.720 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
9.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
9.720 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.720 * [taylor]: Taking taylor expansion of k in k
9.720 * [backup-simplify]: Simplify 0 into 0
9.720 * [backup-simplify]: Simplify 1 into 1
9.720 * [backup-simplify]: Simplify (/ 1 1) into 1
9.721 * [backup-simplify]: Simplify (sqrt 0) into 0
9.722 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.722 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
9.722 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
9.722 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
9.722 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
9.722 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
9.722 * [taylor]: Taking taylor expansion of 1/2 in n
9.722 * [backup-simplify]: Simplify 1/2 into 1/2
9.722 * [taylor]: Taking taylor expansion of (- 1 k) in n
9.723 * [taylor]: Taking taylor expansion of 1 in n
9.723 * [backup-simplify]: Simplify 1 into 1
9.723 * [taylor]: Taking taylor expansion of k in n
9.723 * [backup-simplify]: Simplify k into k
9.723 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.723 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.723 * [taylor]: Taking taylor expansion of 2 in n
9.723 * [backup-simplify]: Simplify 2 into 2
9.723 * [taylor]: Taking taylor expansion of (* n PI) in n
9.723 * [taylor]: Taking taylor expansion of n in n
9.723 * [backup-simplify]: Simplify 0 into 0
9.723 * [backup-simplify]: Simplify 1 into 1
9.723 * [taylor]: Taking taylor expansion of PI in n
9.723 * [backup-simplify]: Simplify PI into PI
9.723 * [backup-simplify]: Simplify (* 0 PI) into 0
9.724 * [backup-simplify]: Simplify (* 2 0) into 0
9.725 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.727 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.728 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.728 * [backup-simplify]: Simplify (- k) into (- k)
9.728 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
9.728 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
9.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.730 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
9.731 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
9.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
9.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.731 * [taylor]: Taking taylor expansion of k in n
9.731 * [backup-simplify]: Simplify k into k
9.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.731 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
9.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
9.731 * [taylor]: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
9.731 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
9.731 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
9.731 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
9.731 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n
9.731 * [taylor]: Taking taylor expansion of 1/2 in n
9.731 * [backup-simplify]: Simplify 1/2 into 1/2
9.731 * [taylor]: Taking taylor expansion of (- 1 k) in n
9.731 * [taylor]: Taking taylor expansion of 1 in n
9.731 * [backup-simplify]: Simplify 1 into 1
9.731 * [taylor]: Taking taylor expansion of k in n
9.732 * [backup-simplify]: Simplify k into k
9.732 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
9.732 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
9.732 * [taylor]: Taking taylor expansion of 2 in n
9.732 * [backup-simplify]: Simplify 2 into 2
9.732 * [taylor]: Taking taylor expansion of (* n PI) in n
9.732 * [taylor]: Taking taylor expansion of n in n
9.732 * [backup-simplify]: Simplify 0 into 0
9.732 * [backup-simplify]: Simplify 1 into 1
9.732 * [taylor]: Taking taylor expansion of PI in n
9.732 * [backup-simplify]: Simplify PI into PI
9.732 * [backup-simplify]: Simplify (* 0 PI) into 0
9.732 * [backup-simplify]: Simplify (* 2 0) into 0
9.733 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
9.734 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
9.735 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.735 * [backup-simplify]: Simplify (- k) into (- k)
9.735 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
9.735 * [backup-simplify]: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
9.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.736 * [backup-simplify]: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
9.737 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
9.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
9.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.737 * [taylor]: Taking taylor expansion of k in n
9.737 * [backup-simplify]: Simplify k into k
9.737 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.737 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
9.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
9.738 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
9.738 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
9.738 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
9.738 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
9.738 * [taylor]: Taking taylor expansion of 1/2 in k
9.738 * [backup-simplify]: Simplify 1/2 into 1/2
9.738 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
9.738 * [taylor]: Taking taylor expansion of (- 1 k) in k
9.738 * [taylor]: Taking taylor expansion of 1 in k
9.738 * [backup-simplify]: Simplify 1 into 1
9.738 * [taylor]: Taking taylor expansion of k in k
9.738 * [backup-simplify]: Simplify 0 into 0
9.738 * [backup-simplify]: Simplify 1 into 1
9.738 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
9.738 * [taylor]: Taking taylor expansion of (log n) in k
9.738 * [taylor]: Taking taylor expansion of n in k
9.738 * [backup-simplify]: Simplify n into n
9.738 * [backup-simplify]: Simplify (log n) into (log n)
9.738 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.738 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.738 * [taylor]: Taking taylor expansion of 2 in k
9.738 * [backup-simplify]: Simplify 2 into 2
9.738 * [taylor]: Taking taylor expansion of PI in k
9.738 * [backup-simplify]: Simplify PI into PI
9.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.739 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.739 * [backup-simplify]: Simplify (- 0) into 0
9.740 * [backup-simplify]: Simplify (+ 1 0) into 1
9.740 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.741 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
9.741 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
9.742 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
9.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
9.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.742 * [taylor]: Taking taylor expansion of k in k
9.742 * [backup-simplify]: Simplify 0 into 0
9.742 * [backup-simplify]: Simplify 1 into 1
9.742 * [backup-simplify]: Simplify (/ 1 1) into 1
9.743 * [backup-simplify]: Simplify (sqrt 0) into 0
9.743 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.744 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
9.744 * [backup-simplify]: Simplify 0 into 0
9.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
9.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
9.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.747 * [backup-simplify]: Simplify (- 0) into 0
9.747 * [backup-simplify]: Simplify (+ 0 0) into 0
9.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
9.748 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.749 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
9.750 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.751 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
9.751 * [taylor]: Taking taylor expansion of 0 in k
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
9.752 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.753 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.753 * [backup-simplify]: Simplify (+ 0 0) into 0
9.753 * [backup-simplify]: Simplify (- 1) into -1
9.753 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.754 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
9.756 * [backup-simplify]: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
9.757 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
9.760 * [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)))))))
9.760 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
9.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
9.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
9.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
9.764 * [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
9.764 * [backup-simplify]: Simplify (- 0) into 0
9.765 * [backup-simplify]: Simplify (+ 0 0) into 0
9.765 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
9.766 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.767 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.769 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.771 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
9.771 * [taylor]: Taking taylor expansion of 0 in k
9.771 * [backup-simplify]: Simplify 0 into 0
9.771 * [backup-simplify]: Simplify 0 into 0
9.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
9.776 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.778 * [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
9.778 * [backup-simplify]: Simplify (+ 0 0) into 0
9.778 * [backup-simplify]: Simplify (- 0) into 0
9.778 * [backup-simplify]: Simplify (+ 0 0) into 0
9.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
9.784 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
9.789 * [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))))))))
9.791 * [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))))))))
9.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
9.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
9.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
9.798 * [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
9.799 * [backup-simplify]: Simplify (- 0) into 0
9.799 * [backup-simplify]: Simplify (+ 0 0) into 0
9.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 k))))) into 0
9.800 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
9.802 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
9.804 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.806 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
9.806 * [taylor]: Taking taylor expansion of 0 in k
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 0 into 0
9.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.813 * [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
9.814 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.820 * [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
9.821 * [backup-simplify]: Simplify (+ 0 0) into 0
9.822 * [backup-simplify]: Simplify (- 0) into 0
9.822 * [backup-simplify]: Simplify (+ 0 0) into 0
9.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
9.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
9.834 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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)))))))
9.850 * [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))))))))))))))
9.861 * [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))))))))))))))
9.879 * [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))))))))))))))))))))))
9.880 * [backup-simplify]: Simplify (/ (pow (* (/ 1 n) (* 2 PI)) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
9.880 * [approximate]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (n k) around 0
9.880 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
9.880 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
9.880 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
9.880 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
9.880 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
9.880 * [taylor]: Taking taylor expansion of 1/2 in k
9.880 * [backup-simplify]: Simplify 1/2 into 1/2
9.880 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.880 * [taylor]: Taking taylor expansion of 1 in k
9.880 * [backup-simplify]: Simplify 1 into 1
9.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.880 * [taylor]: Taking taylor expansion of k in k
9.880 * [backup-simplify]: Simplify 0 into 0
9.880 * [backup-simplify]: Simplify 1 into 1
9.881 * [backup-simplify]: Simplify (/ 1 1) into 1
9.881 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
9.881 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
9.881 * [taylor]: Taking taylor expansion of 2 in k
9.881 * [backup-simplify]: Simplify 2 into 2
9.881 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.881 * [taylor]: Taking taylor expansion of PI in k
9.881 * [backup-simplify]: Simplify PI into PI
9.881 * [taylor]: Taking taylor expansion of n in k
9.881 * [backup-simplify]: Simplify n into n
9.881 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.881 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
9.882 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
9.882 * [backup-simplify]: Simplify (- 1) into -1
9.882 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.883 * [backup-simplify]: Simplify (* 1/2 -1) into -1/2
9.883 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
9.883 * [backup-simplify]: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
9.883 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.883 * [taylor]: Taking taylor expansion of k in k
9.883 * [backup-simplify]: Simplify 0 into 0
9.883 * [backup-simplify]: Simplify 1 into 1
9.884 * [backup-simplify]: Simplify (sqrt 0) into 0
9.885 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.885 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
9.885 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
9.885 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.885 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.885 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
9.885 * [taylor]: Taking taylor expansion of 1/2 in n
9.885 * [backup-simplify]: Simplify 1/2 into 1/2
9.885 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.885 * [taylor]: Taking taylor expansion of 1 in n
9.885 * [backup-simplify]: Simplify 1 into 1
9.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.885 * [taylor]: Taking taylor expansion of k in n
9.885 * [backup-simplify]: Simplify k into k
9.885 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.886 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.886 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.886 * [taylor]: Taking taylor expansion of 2 in n
9.886 * [backup-simplify]: Simplify 2 into 2
9.886 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.886 * [taylor]: Taking taylor expansion of PI in n
9.886 * [backup-simplify]: Simplify PI into PI
9.886 * [taylor]: Taking taylor expansion of n in n
9.886 * [backup-simplify]: Simplify 0 into 0
9.886 * [backup-simplify]: Simplify 1 into 1
9.886 * [backup-simplify]: Simplify (/ PI 1) into PI
9.887 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.888 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.888 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.888 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.888 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
9.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.890 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.892 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.892 * [taylor]: Taking taylor expansion of (sqrt k) in n
9.892 * [taylor]: Taking taylor expansion of k in n
9.892 * [backup-simplify]: Simplify k into k
9.892 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
9.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
9.892 * [taylor]: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
9.892 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
9.892 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
9.892 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
9.892 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
9.892 * [taylor]: Taking taylor expansion of 1/2 in n
9.892 * [backup-simplify]: Simplify 1/2 into 1/2
9.892 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
9.892 * [taylor]: Taking taylor expansion of 1 in n
9.892 * [backup-simplify]: Simplify 1 into 1
9.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.892 * [taylor]: Taking taylor expansion of k in n
9.892 * [backup-simplify]: Simplify k into k
9.892 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.892 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
9.892 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
9.892 * [taylor]: Taking taylor expansion of 2 in n
9.892 * [backup-simplify]: Simplify 2 into 2
9.892 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.893 * [taylor]: Taking taylor expansion of PI in n
9.893 * [backup-simplify]: Simplify PI into PI
9.893 * [taylor]: Taking taylor expansion of n in n
9.893 * [backup-simplify]: Simplify 0 into 0
9.893 * [backup-simplify]: Simplify 1 into 1
9.893 * [backup-simplify]: Simplify (/ PI 1) into PI
9.894 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.895 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.895 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
9.895 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
9.895 * [backup-simplify]: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
9.896 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.897 * [backup-simplify]: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
9.899 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.899 * [taylor]: Taking taylor expansion of (sqrt k) in n
9.899 * [taylor]: Taking taylor expansion of k in n
9.899 * [backup-simplify]: Simplify k into k
9.899 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
9.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
9.900 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
9.900 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
9.900 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
9.900 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
9.900 * [taylor]: Taking taylor expansion of 1/2 in k
9.900 * [backup-simplify]: Simplify 1/2 into 1/2
9.900 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
9.900 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
9.900 * [taylor]: Taking taylor expansion of 1 in k
9.900 * [backup-simplify]: Simplify 1 into 1
9.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.900 * [taylor]: Taking taylor expansion of k in k
9.901 * [backup-simplify]: Simplify 0 into 0
9.901 * [backup-simplify]: Simplify 1 into 1
9.901 * [backup-simplify]: Simplify (/ 1 1) into 1
9.901 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
9.901 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
9.901 * [taylor]: Taking taylor expansion of (* 2 PI) in k
9.901 * [taylor]: Taking taylor expansion of 2 in k
9.901 * [backup-simplify]: Simplify 2 into 2
9.901 * [taylor]: Taking taylor expansion of PI in k
9.901 * [backup-simplify]: Simplify PI into PI
9.902 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
9.903 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
9.903 * [taylor]: Taking taylor expansion of (log n) in k
9.903 * [taylor]: Taking taylor expansion of n in k
9.903 * [backup-simplify]: Simplify n into n
9.903 * [backup-simplify]: Simplify (log n) into (log n)
9.903 * [backup-simplify]: Simplify (- 1) into -1
9.904 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.904 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.905 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
9.906 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
9.907 * [backup-simplify]: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
9.908 * [backup-simplify]: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
9.908 * [taylor]: Taking taylor expansion of (sqrt k) in k
9.908 * [taylor]: Taking taylor expansion of k in k
9.908 * [backup-simplify]: Simplify 0 into 0
9.908 * [backup-simplify]: Simplify 1 into 1
9.908 * [backup-simplify]: Simplify (sqrt 0) into 0
9.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.911 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
9.911 * [backup-simplify]: Simplify 0 into 0
9.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.913 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
9.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
9.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.915 * [backup-simplify]: Simplify (- 0) into 0
9.915 * [backup-simplify]: Simplify (+ 0 0) into 0
9.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
9.917 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.918 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
9.920 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.921 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (sqrt k))) into 0
9.921 * [taylor]: Taking taylor expansion of 0 in k
9.921 * [backup-simplify]: Simplify 0 into 0
9.922 * [backup-simplify]: Simplify 0 into 0
9.923 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.924 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
9.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
9.933 * [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
9.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.934 * [backup-simplify]: Simplify (- 0) into 0
9.935 * [backup-simplify]: Simplify (+ 0 0) into 0
9.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
9.937 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.938 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
9.941 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.942 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
9.942 * [taylor]: Taking taylor expansion of 0 in k
9.942 * [backup-simplify]: Simplify 0 into 0
9.942 * [backup-simplify]: Simplify 0 into 0
9.942 * [backup-simplify]: Simplify 0 into 0
9.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.947 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.948 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
9.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.949 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
9.952 * [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
9.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
9.953 * [backup-simplify]: Simplify (- 0) into 0
9.953 * [backup-simplify]: Simplify (+ 0 0) into 0
9.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
9.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
9.956 * [backup-simplify]: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
9.958 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.959 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
9.959 * [taylor]: Taking taylor expansion of 0 in k
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 0 into 0
9.959 * [backup-simplify]: Simplify 0 into 0
9.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.962 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.963 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
9.966 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
9.966 * [backup-simplify]: Simplify (/ (pow (* (/ 1 (- n)) (* 2 PI)) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
9.966 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0
9.966 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
9.966 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
9.966 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
9.966 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
9.966 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
9.966 * [taylor]: Taking taylor expansion of 1/2 in k
9.966 * [backup-simplify]: Simplify 1/2 into 1/2
9.966 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.966 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.966 * [taylor]: Taking taylor expansion of k in k
9.966 * [backup-simplify]: Simplify 0 into 0
9.966 * [backup-simplify]: Simplify 1 into 1
9.967 * [backup-simplify]: Simplify (/ 1 1) into 1
9.967 * [taylor]: Taking taylor expansion of 1 in k
9.967 * [backup-simplify]: Simplify 1 into 1
9.967 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
9.967 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
9.967 * [taylor]: Taking taylor expansion of -2 in k
9.967 * [backup-simplify]: Simplify -2 into -2
9.967 * [taylor]: Taking taylor expansion of (/ PI n) in k
9.967 * [taylor]: Taking taylor expansion of PI in k
9.967 * [backup-simplify]: Simplify PI into PI
9.967 * [taylor]: Taking taylor expansion of n in k
9.967 * [backup-simplify]: Simplify n into n
9.967 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
9.967 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
9.967 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
9.967 * [backup-simplify]: Simplify (+ 1 0) into 1
9.967 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
9.968 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
9.968 * [backup-simplify]: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
9.968 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.968 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.968 * [taylor]: Taking taylor expansion of -1 in k
9.968 * [backup-simplify]: Simplify -1 into -1
9.968 * [taylor]: Taking taylor expansion of k in k
9.968 * [backup-simplify]: Simplify 0 into 0
9.968 * [backup-simplify]: Simplify 1 into 1
9.968 * [backup-simplify]: Simplify (/ -1 1) into -1
9.968 * [backup-simplify]: Simplify (sqrt 0) into 0
9.969 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.969 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
9.969 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
9.969 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.969 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.969 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.969 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.969 * [taylor]: Taking taylor expansion of 1/2 in n
9.969 * [backup-simplify]: Simplify 1/2 into 1/2
9.969 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.969 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.969 * [taylor]: Taking taylor expansion of k in n
9.969 * [backup-simplify]: Simplify k into k
9.969 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.969 * [taylor]: Taking taylor expansion of 1 in n
9.969 * [backup-simplify]: Simplify 1 into 1
9.970 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.970 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.970 * [taylor]: Taking taylor expansion of -2 in n
9.970 * [backup-simplify]: Simplify -2 into -2
9.970 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.970 * [taylor]: Taking taylor expansion of PI in n
9.970 * [backup-simplify]: Simplify PI into PI
9.970 * [taylor]: Taking taylor expansion of n in n
9.970 * [backup-simplify]: Simplify 0 into 0
9.970 * [backup-simplify]: Simplify 1 into 1
9.970 * [backup-simplify]: Simplify (/ PI 1) into PI
9.970 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.971 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.971 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.971 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.972 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.973 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
9.973 * [taylor]: Taking taylor expansion of (/ -1 k) in n
9.973 * [taylor]: Taking taylor expansion of -1 in n
9.973 * [backup-simplify]: Simplify -1 into -1
9.973 * [taylor]: Taking taylor expansion of k in n
9.973 * [backup-simplify]: Simplify k into k
9.973 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
9.973 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
9.973 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
9.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
9.974 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
9.974 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
9.974 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
9.974 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
9.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
9.974 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
9.974 * [taylor]: Taking taylor expansion of 1/2 in n
9.974 * [backup-simplify]: Simplify 1/2 into 1/2
9.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
9.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n
9.974 * [taylor]: Taking taylor expansion of k in n
9.974 * [backup-simplify]: Simplify k into k
9.974 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
9.974 * [taylor]: Taking taylor expansion of 1 in n
9.974 * [backup-simplify]: Simplify 1 into 1
9.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
9.975 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
9.975 * [taylor]: Taking taylor expansion of -2 in n
9.975 * [backup-simplify]: Simplify -2 into -2
9.975 * [taylor]: Taking taylor expansion of (/ PI n) in n
9.975 * [taylor]: Taking taylor expansion of PI in n
9.975 * [backup-simplify]: Simplify PI into PI
9.975 * [taylor]: Taking taylor expansion of n in n
9.975 * [backup-simplify]: Simplify 0 into 0
9.975 * [backup-simplify]: Simplify 1 into 1
9.975 * [backup-simplify]: Simplify (/ PI 1) into PI
9.975 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.976 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.976 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
9.976 * [backup-simplify]: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
9.977 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.977 * [backup-simplify]: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
9.978 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
9.978 * [taylor]: Taking taylor expansion of (/ -1 k) in n
9.978 * [taylor]: Taking taylor expansion of -1 in n
9.978 * [backup-simplify]: Simplify -1 into -1
9.978 * [taylor]: Taking taylor expansion of k in n
9.978 * [backup-simplify]: Simplify k into k
9.978 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
9.978 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
9.978 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
9.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
9.979 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k)))
9.979 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
9.979 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
9.979 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
9.979 * [taylor]: Taking taylor expansion of 1/2 in k
9.979 * [backup-simplify]: Simplify 1/2 into 1/2
9.979 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
9.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
9.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
9.979 * [taylor]: Taking taylor expansion of k in k
9.979 * [backup-simplify]: Simplify 0 into 0
9.979 * [backup-simplify]: Simplify 1 into 1
9.980 * [backup-simplify]: Simplify (/ 1 1) into 1
9.980 * [taylor]: Taking taylor expansion of 1 in k
9.980 * [backup-simplify]: Simplify 1 into 1
9.980 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
9.980 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
9.980 * [taylor]: Taking taylor expansion of (* -2 PI) in k
9.980 * [taylor]: Taking taylor expansion of -2 in k
9.980 * [backup-simplify]: Simplify -2 into -2
9.980 * [taylor]: Taking taylor expansion of PI in k
9.980 * [backup-simplify]: Simplify PI into PI
9.980 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
9.981 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
9.981 * [taylor]: Taking taylor expansion of (log n) in k
9.981 * [taylor]: Taking taylor expansion of n in k
9.981 * [backup-simplify]: Simplify n into n
9.981 * [backup-simplify]: Simplify (log n) into (log n)
9.981 * [backup-simplify]: Simplify (+ 1 0) into 1
9.981 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
9.982 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
9.982 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
9.983 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
9.984 * [backup-simplify]: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
9.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
9.984 * [taylor]: Taking taylor expansion of (/ -1 k) in k
9.984 * [taylor]: Taking taylor expansion of -1 in k
9.984 * [backup-simplify]: Simplify -1 into -1
9.984 * [taylor]: Taking taylor expansion of k in k
9.984 * [backup-simplify]: Simplify 0 into 0
9.984 * [backup-simplify]: Simplify 1 into 1
9.984 * [backup-simplify]: Simplify (/ -1 1) into -1
9.984 * [backup-simplify]: Simplify (sqrt 0) into 0
9.985 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.986 * [backup-simplify]: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
9.987 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
9.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
9.988 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
9.988 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
9.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
9.989 * [backup-simplify]: Simplify (+ 0 0) into 0
9.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
9.990 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
9.991 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
9.993 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
9.995 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
9.995 * [taylor]: Taking taylor expansion of 0 in k
9.995 * [backup-simplify]: Simplify 0 into 0
9.995 * [backup-simplify]: Simplify 0 into 0
9.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.999 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.001 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
10.003 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
10.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.005 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
10.008 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
10.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.009 * [backup-simplify]: Simplify (+ 0 0) into 0
10.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
10.011 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
10.013 * [backup-simplify]: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
10.015 * [backup-simplify]: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.016 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
10.018 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
10.018 * [taylor]: Taking taylor expansion of 0 in k
10.018 * [backup-simplify]: Simplify 0 into 0
10.018 * [backup-simplify]: Simplify 0 into 0
10.018 * [backup-simplify]: Simplify 0 into 0
10.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.021 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.023 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
10.024 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
10.026 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
10.026 * * * [progress]: simplifying candidates
10.026 * * * * [progress]: [ 1 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.026 * * * * [progress]: [ 2 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.026 * * * * [progress]: [ 3 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 4 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 5 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 6 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 7 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 8 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 9 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 10 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 11 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 12 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 13 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 14 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2))) (/ (cbrt (- 1 k)) (sqrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 15 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1)) (/ (cbrt (- 1 k)) 2)) (sqrt k)))>
10.027 * * * * [progress]: [ 16 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (- 1 k)) (cbrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 17 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2))) (/ (sqrt (- 1 k)) (sqrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 18 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1)) (/ (sqrt (- 1 k)) 2)) (sqrt k)))>
10.027 * * * * [progress]: [ 19 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 20 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 21 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
10.027 * * * * [progress]: [ 22 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- (sqrt 1) (sqrt k)) (cbrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 23 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2))) (/ (- (sqrt 1) (sqrt k)) (sqrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 24 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1)) (/ (- (sqrt 1) (sqrt k)) 2)) (sqrt k)))>
10.027 * * * * [progress]: [ 25 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2)))) (/ (- 1 (sqrt k)) (cbrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 26 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2))) (/ (- 1 (sqrt k)) (sqrt 2))) (sqrt k)))>
10.027 * * * * [progress]: [ 27 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1)) (/ (- 1 (sqrt k)) 2)) (sqrt k)))>
10.027 * * * * [progress]: [ 28 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (- 1 k) (cbrt 2))) (sqrt k)))>
10.028 * * * * [progress]: [ 29 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (- 1 k) (sqrt 2))) (sqrt k)))>
10.028 * * * * [progress]: [ 30 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 31 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 32 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (- 1 k)) (/ 1 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 33 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)))>
10.028 * * * * [progress]: [ 34 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
10.028 * * * * [progress]: [ 35 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 36 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 37 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 38 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 39 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 40 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k)))>
10.028 * * * * [progress]: [ 41 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt k)))>
10.028 * * * * [progress]: [ 42 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt k)))>
10.028 * * * * [progress]: [ 43 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 44 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 45 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 46 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 47 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 48 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 49 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 50 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 51 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 52 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 53 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 54 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.028 * * * * [progress]: [ 55 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 56 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 57 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 58 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 59 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 60 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 61 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 62 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 63 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (sqrt k)))>
10.029 * * * * [progress]: [ 64 / 133 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 65 / 133 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 66 / 133 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) 1))>
10.029 * * * * [progress]: [ 67 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
10.029 * * * * [progress]: [ 68 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
10.029 * * * * [progress]: [ 69 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
10.029 * * * * [progress]: [ 70 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))))>
10.029 * * * * [progress]: [ 71 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))))>
10.029 * * * * [progress]: [ 72 / 133 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 73 / 133 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 74 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
10.029 * * * * [progress]: [ 75 / 133 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 76 / 133 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 77 / 133 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.029 * * * * [progress]: [ 78 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (- (sqrt k))))>
10.029 * * * * [progress]: [ 79 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
10.029 * * * * [progress]: [ 80 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
10.029 * * * * [progress]: [ 81 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 82 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt 1)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
10.030 * * * * [progress]: [ 83 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 84 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) 1) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))>
10.030 * * * * [progress]: [ 85 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
10.030 * * * * [progress]: [ 86 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
10.030 * * * * [progress]: [ 87 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 88 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1)) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
10.030 * * * * [progress]: [ 89 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 90 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
10.030 * * * * [progress]: [ 91 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
10.030 * * * * [progress]: [ 92 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))))>
10.030 * * * * [progress]: [ 93 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 94 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1)) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
10.030 * * * * [progress]: [ 95 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 96 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))))>
10.030 * * * * [progress]: [ 97 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
10.030 * * * * [progress]: [ 98 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))))>
10.030 * * * * [progress]: [ 99 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 100 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
10.030 * * * * [progress]: [ 101 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 102 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
10.030 * * * * [progress]: [ 103 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))))>
10.030 * * * * [progress]: [ 104 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))))>
10.030 * * * * [progress]: [ 105 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
10.030 * * * * [progress]: [ 106 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1)) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
10.031 * * * * [progress]: [ 107 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))))>
10.031 * * * * [progress]: [ 108 / 133 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))))>
10.031 * * * * [progress]: [ 109 / 133 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))>
10.031 * * * * [progress]: [ 110 / 133 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
10.031 * * * * [progress]: [ 111 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
10.031 * * * * [progress]: [ 112 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
10.031 * * * * [progress]: [ 113 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
10.031 * * * * [progress]: [ 114 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
10.031 * * * * [progress]: [ 115 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1)) (sqrt k)))>
10.031 * * * * [progress]: [ 116 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
10.031 * * * * [progress]: [ 117 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1) (sqrt k)))>
10.031 * * * * [progress]: [ 118 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow n (/ (- 1 k) 2)) (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))))>
10.031 * * * * [progress]: [ 119 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
10.031 * * * * [progress]: [ 120 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))))>
10.031 * * * * [progress]: [ 121 / 133 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))))>
10.031 * * * * [progress]: [ 122 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
10.031 * * * * [progress]: [ 123 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))>
10.031 * * * * [progress]: [ 124 / 133 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))))>
10.031 * * * * [progress]: [ 125 / 133 ] 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)))>
10.031 * * * * [progress]: [ 126 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
10.031 * * * * [progress]: [ 127 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
10.031 * * * * [progress]: [ 128 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
10.031 * * * * [progress]: [ 129 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
10.031 * * * * [progress]: [ 130 / 133 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
10.031 * * * * [progress]: [ 131 / 133 ] 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)))))))))))))))))))))))>
10.032 * * * * [progress]: [ 132 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))))>
10.032 * * * * [progress]: [ 133 / 133 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))))>
10.035 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2))
  (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
  (* (log (* n (* 2 PI))) (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (* 1 (/ (- 1 k) 2))
  (pow (* n (* 2 PI)) (/ 1 2))
  (pow (* n (* 2 PI)) (/ k 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (- 1 k)) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ (sqrt 1) (sqrt k)) 1))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (+ 1 (sqrt k)) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (- 1 k))
  (pow n (/ (- 1 k) 2))
  (pow (* 2 PI) (/ (- 1 k) 2))
  (log (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (exp (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (expm1 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (log1p (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (* (+ (log n) (+ (log 2) (log PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (+ (log n) (log (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (* (log (* n (* 2 PI))) (/ (- 1 k) 2)) (log (sqrt k)))
  (- (log (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (log (sqrt k)))
  (log (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (exp (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (/ (* (* (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) 1)
  (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt 1))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2)))) 1)
  (/ (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt 1))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) 1)
  (/ (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (cbrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (cbrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1)
  (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt 1))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) 1)
  (/ (sqrt k) (pow (* 2 PI) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* n (* 2 PI)) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))
  (real->posit16 (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))
  (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))
  (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
  (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
10.038 * * [simplify]: iteration 1: (293 enodes)
10.122 * * [simplify]: iteration 2: (750 enodes)
10.777 * * [simplify]: Extracting #0: cost 104 inf + 0
10.778 * * [simplify]: Extracting #1: cost 390 inf + 1
10.783 * * [simplify]: Extracting #2: cost 619 inf + 13948
10.796 * * [simplify]: Extracting #3: cost 490 inf + 93598
10.819 * * [simplify]: Extracting #4: cost 251 inf + 187121
10.877 * * [simplify]: Extracting #5: cost 129 inf + 248241
10.958 * * [simplify]: Extracting #6: cost 101 inf + 264444
11.022 * * [simplify]: Extracting #7: cost 68 inf + 282859
11.117 * * [simplify]: Extracting #8: cost 38 inf + 304737
11.206 * * [simplify]: Extracting #9: cost 8 inf + 322136
11.298 * * [simplify]: Extracting #10: cost 0 inf + 326645
11.417 * * [simplify]: Extracting #11: cost 0 inf + 326525
11.513 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (/ (- 1 k) 2)
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ k 2))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1 k))
  (pow n (/ (- 1 k) 2))
  (pow (* PI 2) (/ (- 1 k) 2))
  (* (/ (- 1 k) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3)
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* (* n n) n) (* 8 (* (* PI PI) PI)))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* PI 2) n) (* (* (* PI 2) n) (* (* PI 2) n)))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* 2 (* PI (cbrt n)))
  (* 2 (* PI (sqrt n)))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (log1p (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (- (* (/ (- 1 k) 2) (log (* (* PI 2) n))) (log (sqrt k)))
  (exp (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (/ (/ (pow (pow (* (* PI 2) n) (/ (- 1 k) 2)) 3) k) (sqrt k))
  (* (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))))
  (cbrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (* (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (sqrt (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (- (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (- (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ (pow n (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow n (/ (- 1 k) 2))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (/ (pow n (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow n (/ (- 1 k) 2))
  (/ (pow (* PI 2) (/ (- 1 k) 2)) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt (sqrt k)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  1
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k))
  (* (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt k))) (/ (pow (* (* PI 2) n) (/ (- 1 k) 8)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (cbrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (cbrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (- 1/4 (/ k 4)))
  (/ (pow (* (* PI 2) n) (- 1/4 (/ k 4))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k)))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt (sqrt k)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (/ (sqrt k) (pow (* PI 2) (/ (- 1 k) 2)))
  (/ (sqrt k) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 2))))
  (/ (sqrt k) (pow (* (* PI 2) n) (/ (- 1 k) 2)))
  (/ (sqrt k) (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (pow (* (* PI 2) n) (/ k 2)) (sqrt k))
  (real->posit16 (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (sqrt k)))
  (+ (* -1/2 (* k (+ (* (log n) (sqrt (* (* PI 2) n))) (* (sqrt (* (* PI 2) n)) (log (* PI 2)))))) (fma (* (log (* PI 2)) 1/4) (* (* (sqrt (* (* PI 2) n)) (log n)) (* k k)) (fma (* 1/8 (sqrt (* (* PI 2) n))) (* (* (* k k) (log n)) (log n)) (fma (* (* k k) (* (log (* PI 2)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) 1/8 (sqrt (* (* PI 2) n))))))
  (exp (* (* 1/2 (- 1 k)) (log (* (* PI 2) n))))
  (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (- (- (* (* (* (log (* PI 2)) +nan.0) (* (* k k) (log n))) (sqrt (* (* PI 2) n))) (+ (- (* +nan.0 (* (* (* k k) (sqrt (* (* PI 2) n))) (log (* PI 2)))) (* (* (* k (log n)) (* k (log n))) (* (sqrt (* (* PI 2) n)) +nan.0))) (+ (- (* +nan.0 (* k (sqrt (* (* PI 2) n)))) (* (sqrt (* (* PI 2) n)) +nan.0)) (- (* (* (* k k) (* (log (* PI 2)) (* (sqrt (* (* PI 2) n)) (log (* PI 2))))) +nan.0) (+ (- (* (sqrt (* (* PI 2) n)) (* (* (* k k) (log n)) +nan.0)) (* (* (sqrt (* (* PI 2) n)) +nan.0) (* k k))) (- (* (log (* PI 2)) (* +nan.0 (* k (sqrt (* (* PI 2) n))))) (* (* (log n) (sqrt (* (* PI 2) n))) (* k +nan.0)))))))))
  (+ (* +nan.0 (- (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI 2) n)))) k))) (* +nan.0 (- (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI 2) n)))) (* k k)) (/ (/ (exp (* (* 1/2 (- 1 k)) (log (* (* PI 2) n)))) k) (* k k)))))
  (+ (- (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (/ k +nan.0))) (* +nan.0 (- (/ (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (* 1/2 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))))))
11.522 * * * [progress]: adding candidates to table
13.012 * * [progress]: iteration 2 / 4
13.012 * * * [progress]: picking best candidate
13.081 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.081 * * * [progress]: localizing error
13.121 * * * [progress]: generating rewritten candidates
13.121 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
13.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
13.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1)
13.201 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
13.231 * * * [progress]: generating series expansions
13.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
13.232 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
13.232 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
13.232 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
13.232 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
13.232 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
13.232 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
13.232 * [taylor]: Taking taylor expansion of 1/4 in k
13.232 * [backup-simplify]: Simplify 1/4 into 1/4
13.232 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.232 * [taylor]: Taking taylor expansion of 1 in k
13.232 * [backup-simplify]: Simplify 1 into 1
13.232 * [taylor]: Taking taylor expansion of k in k
13.232 * [backup-simplify]: Simplify 0 into 0
13.232 * [backup-simplify]: Simplify 1 into 1
13.232 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.232 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.232 * [taylor]: Taking taylor expansion of 2 in k
13.232 * [backup-simplify]: Simplify 2 into 2
13.232 * [taylor]: Taking taylor expansion of (* n PI) in k
13.232 * [taylor]: Taking taylor expansion of n in k
13.232 * [backup-simplify]: Simplify n into n
13.232 * [taylor]: Taking taylor expansion of PI in k
13.232 * [backup-simplify]: Simplify PI into PI
13.232 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.232 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.232 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.233 * [backup-simplify]: Simplify (- 0) into 0
13.233 * [backup-simplify]: Simplify (+ 1 0) into 1
13.233 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.233 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
13.233 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
13.233 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
13.233 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
13.233 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
13.233 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
13.233 * [taylor]: Taking taylor expansion of 1/4 in n
13.233 * [backup-simplify]: Simplify 1/4 into 1/4
13.234 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.234 * [taylor]: Taking taylor expansion of 1 in n
13.234 * [backup-simplify]: Simplify 1 into 1
13.234 * [taylor]: Taking taylor expansion of k in n
13.234 * [backup-simplify]: Simplify k into k
13.234 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.234 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.234 * [taylor]: Taking taylor expansion of 2 in n
13.234 * [backup-simplify]: Simplify 2 into 2
13.234 * [taylor]: Taking taylor expansion of (* n PI) in n
13.234 * [taylor]: Taking taylor expansion of n in n
13.234 * [backup-simplify]: Simplify 0 into 0
13.234 * [backup-simplify]: Simplify 1 into 1
13.234 * [taylor]: Taking taylor expansion of PI in n
13.234 * [backup-simplify]: Simplify PI into PI
13.234 * [backup-simplify]: Simplify (* 0 PI) into 0
13.234 * [backup-simplify]: Simplify (* 2 0) into 0
13.235 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.236 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.237 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.237 * [backup-simplify]: Simplify (- k) into (- k)
13.237 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.237 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
13.238 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.238 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.239 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.239 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
13.239 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
13.239 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
13.239 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
13.239 * [taylor]: Taking taylor expansion of 1/4 in n
13.239 * [backup-simplify]: Simplify 1/4 into 1/4
13.239 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.239 * [taylor]: Taking taylor expansion of 1 in n
13.239 * [backup-simplify]: Simplify 1 into 1
13.239 * [taylor]: Taking taylor expansion of k in n
13.239 * [backup-simplify]: Simplify k into k
13.239 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.239 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.239 * [taylor]: Taking taylor expansion of 2 in n
13.239 * [backup-simplify]: Simplify 2 into 2
13.239 * [taylor]: Taking taylor expansion of (* n PI) in n
13.239 * [taylor]: Taking taylor expansion of n in n
13.239 * [backup-simplify]: Simplify 0 into 0
13.239 * [backup-simplify]: Simplify 1 into 1
13.239 * [taylor]: Taking taylor expansion of PI in n
13.239 * [backup-simplify]: Simplify PI into PI
13.240 * [backup-simplify]: Simplify (* 0 PI) into 0
13.240 * [backup-simplify]: Simplify (* 2 0) into 0
13.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.242 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.242 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.242 * [backup-simplify]: Simplify (- k) into (- k)
13.243 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.243 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
13.243 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.244 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.245 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.245 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
13.245 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
13.245 * [taylor]: Taking taylor expansion of 1/4 in k
13.245 * [backup-simplify]: Simplify 1/4 into 1/4
13.245 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
13.245 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.245 * [taylor]: Taking taylor expansion of 1 in k
13.245 * [backup-simplify]: Simplify 1 into 1
13.245 * [taylor]: Taking taylor expansion of k in k
13.245 * [backup-simplify]: Simplify 0 into 0
13.245 * [backup-simplify]: Simplify 1 into 1
13.245 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
13.245 * [taylor]: Taking taylor expansion of (log n) in k
13.245 * [taylor]: Taking taylor expansion of n in k
13.245 * [backup-simplify]: Simplify n into n
13.245 * [backup-simplify]: Simplify (log n) into (log n)
13.245 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.245 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.245 * [taylor]: Taking taylor expansion of 2 in k
13.245 * [backup-simplify]: Simplify 2 into 2
13.245 * [taylor]: Taking taylor expansion of PI in k
13.245 * [backup-simplify]: Simplify PI into PI
13.246 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.246 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.246 * [backup-simplify]: Simplify (- 0) into 0
13.247 * [backup-simplify]: Simplify (+ 1 0) into 1
13.247 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.248 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
13.249 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
13.249 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
13.250 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
13.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.252 * [backup-simplify]: Simplify (- 0) into 0
13.253 * [backup-simplify]: Simplify (+ 0 0) into 0
13.253 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
13.254 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.255 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
13.257 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.257 * [taylor]: Taking taylor expansion of 0 in k
13.257 * [backup-simplify]: Simplify 0 into 0
13.257 * [backup-simplify]: Simplify 0 into 0
13.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.259 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.261 * [backup-simplify]: Simplify (+ 0 0) into 0
13.262 * [backup-simplify]: Simplify (- 1) into -1
13.262 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.264 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
13.266 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
13.269 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
13.272 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
13.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.274 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.278 * [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
13.278 * [backup-simplify]: Simplify (- 0) into 0
13.279 * [backup-simplify]: Simplify (+ 0 0) into 0
13.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
13.281 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.282 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.284 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.284 * [taylor]: Taking taylor expansion of 0 in k
13.284 * [backup-simplify]: Simplify 0 into 0
13.284 * [backup-simplify]: Simplify 0 into 0
13.284 * [backup-simplify]: Simplify 0 into 0
13.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.287 * [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
13.288 * [backup-simplify]: Simplify (+ 0 0) into 0
13.288 * [backup-simplify]: Simplify (- 0) into 0
13.288 * [backup-simplify]: Simplify (+ 0 0) into 0
13.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.291 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.298 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
13.301 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
13.307 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
13.307 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
13.307 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
13.307 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
13.307 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.307 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.307 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
13.307 * [taylor]: Taking taylor expansion of 1/4 in k
13.307 * [backup-simplify]: Simplify 1/4 into 1/4
13.307 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.307 * [taylor]: Taking taylor expansion of 1 in k
13.307 * [backup-simplify]: Simplify 1 into 1
13.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.307 * [taylor]: Taking taylor expansion of k in k
13.307 * [backup-simplify]: Simplify 0 into 0
13.307 * [backup-simplify]: Simplify 1 into 1
13.308 * [backup-simplify]: Simplify (/ 1 1) into 1
13.308 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.308 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.308 * [taylor]: Taking taylor expansion of 2 in k
13.308 * [backup-simplify]: Simplify 2 into 2
13.308 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.308 * [taylor]: Taking taylor expansion of PI in k
13.308 * [backup-simplify]: Simplify PI into PI
13.308 * [taylor]: Taking taylor expansion of n in k
13.308 * [backup-simplify]: Simplify n into n
13.308 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.308 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.308 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.308 * [backup-simplify]: Simplify (- 1) into -1
13.308 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.309 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
13.309 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
13.309 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
13.309 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
13.309 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.309 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.309 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
13.309 * [taylor]: Taking taylor expansion of 1/4 in n
13.309 * [backup-simplify]: Simplify 1/4 into 1/4
13.309 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.309 * [taylor]: Taking taylor expansion of 1 in n
13.309 * [backup-simplify]: Simplify 1 into 1
13.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.309 * [taylor]: Taking taylor expansion of k in n
13.309 * [backup-simplify]: Simplify k into k
13.309 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.309 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.309 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.309 * [taylor]: Taking taylor expansion of 2 in n
13.309 * [backup-simplify]: Simplify 2 into 2
13.309 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.309 * [taylor]: Taking taylor expansion of PI in n
13.309 * [backup-simplify]: Simplify PI into PI
13.309 * [taylor]: Taking taylor expansion of n in n
13.309 * [backup-simplify]: Simplify 0 into 0
13.309 * [backup-simplify]: Simplify 1 into 1
13.310 * [backup-simplify]: Simplify (/ PI 1) into PI
13.310 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.311 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.311 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.311 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.311 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
13.312 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.313 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.315 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.315 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
13.315 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.315 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.315 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
13.315 * [taylor]: Taking taylor expansion of 1/4 in n
13.315 * [backup-simplify]: Simplify 1/4 into 1/4
13.315 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.315 * [taylor]: Taking taylor expansion of 1 in n
13.315 * [backup-simplify]: Simplify 1 into 1
13.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.315 * [taylor]: Taking taylor expansion of k in n
13.315 * [backup-simplify]: Simplify k into k
13.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.315 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.315 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.315 * [taylor]: Taking taylor expansion of 2 in n
13.315 * [backup-simplify]: Simplify 2 into 2
13.315 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.315 * [taylor]: Taking taylor expansion of PI in n
13.315 * [backup-simplify]: Simplify PI into PI
13.315 * [taylor]: Taking taylor expansion of n in n
13.315 * [backup-simplify]: Simplify 0 into 0
13.315 * [backup-simplify]: Simplify 1 into 1
13.316 * [backup-simplify]: Simplify (/ PI 1) into PI
13.316 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.317 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.317 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.318 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
13.319 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.320 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.321 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.321 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
13.321 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
13.321 * [taylor]: Taking taylor expansion of 1/4 in k
13.321 * [backup-simplify]: Simplify 1/4 into 1/4
13.321 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
13.321 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.322 * [taylor]: Taking taylor expansion of 1 in k
13.322 * [backup-simplify]: Simplify 1 into 1
13.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.322 * [taylor]: Taking taylor expansion of k in k
13.322 * [backup-simplify]: Simplify 0 into 0
13.322 * [backup-simplify]: Simplify 1 into 1
13.322 * [backup-simplify]: Simplify (/ 1 1) into 1
13.322 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
13.322 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.322 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.322 * [taylor]: Taking taylor expansion of 2 in k
13.322 * [backup-simplify]: Simplify 2 into 2
13.322 * [taylor]: Taking taylor expansion of PI in k
13.322 * [backup-simplify]: Simplify PI into PI
13.323 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.324 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.324 * [taylor]: Taking taylor expansion of (log n) in k
13.324 * [taylor]: Taking taylor expansion of n in k
13.324 * [backup-simplify]: Simplify n into n
13.324 * [backup-simplify]: Simplify (log n) into (log n)
13.324 * [backup-simplify]: Simplify (- 1) into -1
13.325 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.325 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.326 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
13.327 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
13.328 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
13.329 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.330 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.332 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.334 * [backup-simplify]: Simplify (- 0) into 0
13.334 * [backup-simplify]: Simplify (+ 0 0) into 0
13.335 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
13.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.336 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.337 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.337 * [taylor]: Taking taylor expansion of 0 in k
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 0 into 0
13.337 * [backup-simplify]: Simplify 0 into 0
13.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.339 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.340 * [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
13.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.341 * [backup-simplify]: Simplify (- 0) into 0
13.341 * [backup-simplify]: Simplify (+ 0 0) into 0
13.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
13.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.343 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
13.345 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.345 * [taylor]: Taking taylor expansion of 0 in k
13.345 * [backup-simplify]: Simplify 0 into 0
13.345 * [backup-simplify]: Simplify 0 into 0
13.345 * [backup-simplify]: Simplify 0 into 0
13.345 * [backup-simplify]: Simplify 0 into 0
13.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.346 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.349 * [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
13.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.350 * [backup-simplify]: Simplify (- 0) into 0
13.350 * [backup-simplify]: Simplify (+ 0 0) into 0
13.351 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
13.352 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.353 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
13.355 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.355 * [taylor]: Taking taylor expansion of 0 in k
13.355 * [backup-simplify]: Simplify 0 into 0
13.355 * [backup-simplify]: Simplify 0 into 0
13.355 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
13.356 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
13.356 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
13.356 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
13.356 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
13.356 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
13.356 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
13.356 * [taylor]: Taking taylor expansion of 1/4 in k
13.356 * [backup-simplify]: Simplify 1/4 into 1/4
13.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.356 * [taylor]: Taking taylor expansion of k in k
13.356 * [backup-simplify]: Simplify 0 into 0
13.356 * [backup-simplify]: Simplify 1 into 1
13.356 * [backup-simplify]: Simplify (/ 1 1) into 1
13.356 * [taylor]: Taking taylor expansion of 1 in k
13.356 * [backup-simplify]: Simplify 1 into 1
13.356 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.356 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.356 * [taylor]: Taking taylor expansion of -2 in k
13.357 * [backup-simplify]: Simplify -2 into -2
13.357 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.357 * [taylor]: Taking taylor expansion of PI in k
13.357 * [backup-simplify]: Simplify PI into PI
13.357 * [taylor]: Taking taylor expansion of n in k
13.357 * [backup-simplify]: Simplify n into n
13.357 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.357 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.357 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.357 * [backup-simplify]: Simplify (+ 1 0) into 1
13.357 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.357 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
13.357 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
13.357 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
13.358 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.358 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.358 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
13.358 * [taylor]: Taking taylor expansion of 1/4 in n
13.358 * [backup-simplify]: Simplify 1/4 into 1/4
13.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.358 * [taylor]: Taking taylor expansion of k in n
13.358 * [backup-simplify]: Simplify k into k
13.358 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.358 * [taylor]: Taking taylor expansion of 1 in n
13.358 * [backup-simplify]: Simplify 1 into 1
13.358 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.358 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.358 * [taylor]: Taking taylor expansion of -2 in n
13.358 * [backup-simplify]: Simplify -2 into -2
13.358 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.358 * [taylor]: Taking taylor expansion of PI in n
13.358 * [backup-simplify]: Simplify PI into PI
13.358 * [taylor]: Taking taylor expansion of n in n
13.358 * [backup-simplify]: Simplify 0 into 0
13.358 * [backup-simplify]: Simplify 1 into 1
13.358 * [backup-simplify]: Simplify (/ PI 1) into PI
13.358 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.359 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.359 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.359 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
13.360 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.361 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.361 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.361 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
13.361 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.361 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.362 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
13.362 * [taylor]: Taking taylor expansion of 1/4 in n
13.362 * [backup-simplify]: Simplify 1/4 into 1/4
13.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.362 * [taylor]: Taking taylor expansion of k in n
13.362 * [backup-simplify]: Simplify k into k
13.362 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.362 * [taylor]: Taking taylor expansion of 1 in n
13.362 * [backup-simplify]: Simplify 1 into 1
13.362 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.362 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.362 * [taylor]: Taking taylor expansion of -2 in n
13.362 * [backup-simplify]: Simplify -2 into -2
13.362 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.362 * [taylor]: Taking taylor expansion of PI in n
13.362 * [backup-simplify]: Simplify PI into PI
13.362 * [taylor]: Taking taylor expansion of n in n
13.362 * [backup-simplify]: Simplify 0 into 0
13.362 * [backup-simplify]: Simplify 1 into 1
13.362 * [backup-simplify]: Simplify (/ PI 1) into PI
13.363 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.364 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.364 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.364 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
13.365 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.367 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.368 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
13.368 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
13.368 * [taylor]: Taking taylor expansion of 1/4 in k
13.368 * [backup-simplify]: Simplify 1/4 into 1/4
13.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
13.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.368 * [taylor]: Taking taylor expansion of k in k
13.368 * [backup-simplify]: Simplify 0 into 0
13.368 * [backup-simplify]: Simplify 1 into 1
13.368 * [backup-simplify]: Simplify (/ 1 1) into 1
13.368 * [taylor]: Taking taylor expansion of 1 in k
13.368 * [backup-simplify]: Simplify 1 into 1
13.368 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
13.369 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
13.369 * [taylor]: Taking taylor expansion of (* -2 PI) in k
13.369 * [taylor]: Taking taylor expansion of -2 in k
13.369 * [backup-simplify]: Simplify -2 into -2
13.369 * [taylor]: Taking taylor expansion of PI in k
13.369 * [backup-simplify]: Simplify PI into PI
13.369 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.370 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.370 * [taylor]: Taking taylor expansion of (log n) in k
13.370 * [taylor]: Taking taylor expansion of n in k
13.370 * [backup-simplify]: Simplify n into n
13.370 * [backup-simplify]: Simplify (log n) into (log n)
13.371 * [backup-simplify]: Simplify (+ 1 0) into 1
13.371 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.372 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
13.373 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
13.374 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
13.375 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.376 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.378 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.380 * [backup-simplify]: Simplify (+ 0 0) into 0
13.381 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
13.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.383 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
13.385 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.385 * [taylor]: Taking taylor expansion of 0 in k
13.385 * [backup-simplify]: Simplify 0 into 0
13.385 * [backup-simplify]: Simplify 0 into 0
13.385 * [backup-simplify]: Simplify 0 into 0
13.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.391 * [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
13.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.391 * [backup-simplify]: Simplify (+ 0 0) into 0
13.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
13.394 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.395 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
13.398 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.398 * [taylor]: Taking taylor expansion of 0 in k
13.398 * [backup-simplify]: Simplify 0 into 0
13.398 * [backup-simplify]: Simplify 0 into 0
13.398 * [backup-simplify]: Simplify 0 into 0
13.398 * [backup-simplify]: Simplify 0 into 0
13.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.400 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.407 * [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
13.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.407 * [backup-simplify]: Simplify (+ 0 0) into 0
13.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
13.412 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.414 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
13.415 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.415 * [taylor]: Taking taylor expansion of 0 in k
13.415 * [backup-simplify]: Simplify 0 into 0
13.415 * [backup-simplify]: Simplify 0 into 0
13.416 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
13.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
13.417 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
13.417 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
13.417 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
13.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
13.417 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
13.417 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
13.417 * [taylor]: Taking taylor expansion of 1/4 in k
13.417 * [backup-simplify]: Simplify 1/4 into 1/4
13.417 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.417 * [taylor]: Taking taylor expansion of 1 in k
13.417 * [backup-simplify]: Simplify 1 into 1
13.417 * [taylor]: Taking taylor expansion of k in k
13.417 * [backup-simplify]: Simplify 0 into 0
13.417 * [backup-simplify]: Simplify 1 into 1
13.417 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
13.417 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
13.417 * [taylor]: Taking taylor expansion of 2 in k
13.417 * [backup-simplify]: Simplify 2 into 2
13.417 * [taylor]: Taking taylor expansion of (* n PI) in k
13.417 * [taylor]: Taking taylor expansion of n in k
13.417 * [backup-simplify]: Simplify n into n
13.417 * [taylor]: Taking taylor expansion of PI in k
13.417 * [backup-simplify]: Simplify PI into PI
13.417 * [backup-simplify]: Simplify (* n PI) into (* n PI)
13.417 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
13.417 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
13.417 * [backup-simplify]: Simplify (- 0) into 0
13.418 * [backup-simplify]: Simplify (+ 1 0) into 1
13.418 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.418 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
13.418 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
13.418 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
13.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
13.418 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
13.418 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
13.418 * [taylor]: Taking taylor expansion of 1/4 in n
13.418 * [backup-simplify]: Simplify 1/4 into 1/4
13.418 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.418 * [taylor]: Taking taylor expansion of 1 in n
13.418 * [backup-simplify]: Simplify 1 into 1
13.418 * [taylor]: Taking taylor expansion of k in n
13.418 * [backup-simplify]: Simplify k into k
13.418 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.418 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.418 * [taylor]: Taking taylor expansion of 2 in n
13.418 * [backup-simplify]: Simplify 2 into 2
13.418 * [taylor]: Taking taylor expansion of (* n PI) in n
13.418 * [taylor]: Taking taylor expansion of n in n
13.418 * [backup-simplify]: Simplify 0 into 0
13.418 * [backup-simplify]: Simplify 1 into 1
13.418 * [taylor]: Taking taylor expansion of PI in n
13.418 * [backup-simplify]: Simplify PI into PI
13.419 * [backup-simplify]: Simplify (* 0 PI) into 0
13.419 * [backup-simplify]: Simplify (* 2 0) into 0
13.420 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.421 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.421 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.421 * [backup-simplify]: Simplify (- k) into (- k)
13.422 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.422 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
13.423 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.423 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.424 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.424 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
13.424 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
13.424 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
13.424 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
13.424 * [taylor]: Taking taylor expansion of 1/4 in n
13.424 * [backup-simplify]: Simplify 1/4 into 1/4
13.424 * [taylor]: Taking taylor expansion of (- 1 k) in n
13.424 * [taylor]: Taking taylor expansion of 1 in n
13.424 * [backup-simplify]: Simplify 1 into 1
13.424 * [taylor]: Taking taylor expansion of k in n
13.424 * [backup-simplify]: Simplify k into k
13.424 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
13.424 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.424 * [taylor]: Taking taylor expansion of 2 in n
13.424 * [backup-simplify]: Simplify 2 into 2
13.424 * [taylor]: Taking taylor expansion of (* n PI) in n
13.424 * [taylor]: Taking taylor expansion of n in n
13.424 * [backup-simplify]: Simplify 0 into 0
13.424 * [backup-simplify]: Simplify 1 into 1
13.424 * [taylor]: Taking taylor expansion of PI in n
13.424 * [backup-simplify]: Simplify PI into PI
13.425 * [backup-simplify]: Simplify (* 0 PI) into 0
13.425 * [backup-simplify]: Simplify (* 2 0) into 0
13.426 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.427 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.427 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.427 * [backup-simplify]: Simplify (- k) into (- k)
13.427 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
13.428 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
13.428 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.429 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
13.430 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
13.430 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
13.430 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
13.430 * [taylor]: Taking taylor expansion of 1/4 in k
13.430 * [backup-simplify]: Simplify 1/4 into 1/4
13.430 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
13.430 * [taylor]: Taking taylor expansion of (- 1 k) in k
13.430 * [taylor]: Taking taylor expansion of 1 in k
13.430 * [backup-simplify]: Simplify 1 into 1
13.430 * [taylor]: Taking taylor expansion of k in k
13.430 * [backup-simplify]: Simplify 0 into 0
13.430 * [backup-simplify]: Simplify 1 into 1
13.430 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
13.430 * [taylor]: Taking taylor expansion of (log n) in k
13.430 * [taylor]: Taking taylor expansion of n in k
13.430 * [backup-simplify]: Simplify n into n
13.430 * [backup-simplify]: Simplify (log n) into (log n)
13.430 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.430 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.430 * [taylor]: Taking taylor expansion of 2 in k
13.430 * [backup-simplify]: Simplify 2 into 2
13.430 * [taylor]: Taking taylor expansion of PI in k
13.430 * [backup-simplify]: Simplify PI into PI
13.431 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.431 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.431 * [backup-simplify]: Simplify (- 0) into 0
13.432 * [backup-simplify]: Simplify (+ 1 0) into 1
13.432 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.433 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
13.434 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
13.434 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
13.435 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
13.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.437 * [backup-simplify]: Simplify (- 0) into 0
13.438 * [backup-simplify]: Simplify (+ 0 0) into 0
13.438 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
13.439 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.440 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
13.442 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.442 * [taylor]: Taking taylor expansion of 0 in k
13.442 * [backup-simplify]: Simplify 0 into 0
13.442 * [backup-simplify]: Simplify 0 into 0
13.443 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
13.444 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.446 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.446 * [backup-simplify]: Simplify (+ 0 0) into 0
13.446 * [backup-simplify]: Simplify (- 1) into -1
13.447 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.448 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
13.450 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
13.453 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
13.455 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
13.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.457 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.459 * [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
13.459 * [backup-simplify]: Simplify (- 0) into 0
13.459 * [backup-simplify]: Simplify (+ 0 0) into 0
13.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
13.460 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
13.461 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.463 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.463 * [taylor]: Taking taylor expansion of 0 in k
13.463 * [backup-simplify]: Simplify 0 into 0
13.463 * [backup-simplify]: Simplify 0 into 0
13.463 * [backup-simplify]: Simplify 0 into 0
13.464 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
13.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.467 * [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
13.467 * [backup-simplify]: Simplify (+ 0 0) into 0
13.467 * [backup-simplify]: Simplify (- 0) into 0
13.467 * [backup-simplify]: Simplify (+ 0 0) into 0
13.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
13.472 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
13.475 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
13.480 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
13.481 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
13.481 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
13.481 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
13.481 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
13.481 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
13.481 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
13.481 * [taylor]: Taking taylor expansion of 1/4 in k
13.481 * [backup-simplify]: Simplify 1/4 into 1/4
13.481 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.481 * [taylor]: Taking taylor expansion of 1 in k
13.481 * [backup-simplify]: Simplify 1 into 1
13.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.481 * [taylor]: Taking taylor expansion of k in k
13.481 * [backup-simplify]: Simplify 0 into 0
13.481 * [backup-simplify]: Simplify 1 into 1
13.481 * [backup-simplify]: Simplify (/ 1 1) into 1
13.481 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
13.481 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
13.482 * [taylor]: Taking taylor expansion of 2 in k
13.482 * [backup-simplify]: Simplify 2 into 2
13.482 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.482 * [taylor]: Taking taylor expansion of PI in k
13.482 * [backup-simplify]: Simplify PI into PI
13.482 * [taylor]: Taking taylor expansion of n in k
13.482 * [backup-simplify]: Simplify n into n
13.482 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.482 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
13.482 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
13.482 * [backup-simplify]: Simplify (- 1) into -1
13.482 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.483 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
13.483 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
13.483 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
13.483 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
13.483 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.483 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.483 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
13.483 * [taylor]: Taking taylor expansion of 1/4 in n
13.483 * [backup-simplify]: Simplify 1/4 into 1/4
13.483 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.483 * [taylor]: Taking taylor expansion of 1 in n
13.483 * [backup-simplify]: Simplify 1 into 1
13.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.483 * [taylor]: Taking taylor expansion of k in n
13.483 * [backup-simplify]: Simplify k into k
13.483 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.483 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.483 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.483 * [taylor]: Taking taylor expansion of 2 in n
13.483 * [backup-simplify]: Simplify 2 into 2
13.483 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.483 * [taylor]: Taking taylor expansion of PI in n
13.483 * [backup-simplify]: Simplify PI into PI
13.483 * [taylor]: Taking taylor expansion of n in n
13.483 * [backup-simplify]: Simplify 0 into 0
13.483 * [backup-simplify]: Simplify 1 into 1
13.483 * [backup-simplify]: Simplify (/ PI 1) into PI
13.484 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.484 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.484 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.484 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.485 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
13.485 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.486 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.487 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.487 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
13.487 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
13.487 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
13.487 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
13.487 * [taylor]: Taking taylor expansion of 1/4 in n
13.487 * [backup-simplify]: Simplify 1/4 into 1/4
13.487 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
13.487 * [taylor]: Taking taylor expansion of 1 in n
13.487 * [backup-simplify]: Simplify 1 into 1
13.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.488 * [taylor]: Taking taylor expansion of k in n
13.488 * [backup-simplify]: Simplify k into k
13.488 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.488 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
13.488 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.488 * [taylor]: Taking taylor expansion of 2 in n
13.488 * [backup-simplify]: Simplify 2 into 2
13.488 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.488 * [taylor]: Taking taylor expansion of PI in n
13.488 * [backup-simplify]: Simplify PI into PI
13.488 * [taylor]: Taking taylor expansion of n in n
13.488 * [backup-simplify]: Simplify 0 into 0
13.488 * [backup-simplify]: Simplify 1 into 1
13.488 * [backup-simplify]: Simplify (/ PI 1) into PI
13.489 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.490 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.490 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
13.490 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
13.490 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
13.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.493 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
13.494 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.494 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
13.494 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
13.494 * [taylor]: Taking taylor expansion of 1/4 in k
13.494 * [backup-simplify]: Simplify 1/4 into 1/4
13.494 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
13.494 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
13.494 * [taylor]: Taking taylor expansion of 1 in k
13.494 * [backup-simplify]: Simplify 1 into 1
13.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.494 * [taylor]: Taking taylor expansion of k in k
13.494 * [backup-simplify]: Simplify 0 into 0
13.494 * [backup-simplify]: Simplify 1 into 1
13.495 * [backup-simplify]: Simplify (/ 1 1) into 1
13.495 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
13.495 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
13.495 * [taylor]: Taking taylor expansion of (* 2 PI) in k
13.495 * [taylor]: Taking taylor expansion of 2 in k
13.495 * [backup-simplify]: Simplify 2 into 2
13.495 * [taylor]: Taking taylor expansion of PI in k
13.495 * [backup-simplify]: Simplify PI into PI
13.495 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.496 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
13.496 * [taylor]: Taking taylor expansion of (log n) in k
13.496 * [taylor]: Taking taylor expansion of n in k
13.496 * [backup-simplify]: Simplify n into n
13.496 * [backup-simplify]: Simplify (log n) into (log n)
13.497 * [backup-simplify]: Simplify (- 1) into -1
13.497 * [backup-simplify]: Simplify (+ 0 -1) into -1
13.497 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.498 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
13.499 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
13.500 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
13.501 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.503 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
13.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.504 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
13.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.507 * [backup-simplify]: Simplify (- 0) into 0
13.507 * [backup-simplify]: Simplify (+ 0 0) into 0
13.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
13.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.510 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
13.512 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.512 * [taylor]: Taking taylor expansion of 0 in k
13.512 * [backup-simplify]: Simplify 0 into 0
13.512 * [backup-simplify]: Simplify 0 into 0
13.512 * [backup-simplify]: Simplify 0 into 0
13.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.514 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.521 * [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
13.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.521 * [backup-simplify]: Simplify (- 0) into 0
13.521 * [backup-simplify]: Simplify (+ 0 0) into 0
13.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
13.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.524 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
13.525 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.525 * [taylor]: Taking taylor expansion of 0 in k
13.525 * [backup-simplify]: Simplify 0 into 0
13.525 * [backup-simplify]: Simplify 0 into 0
13.526 * [backup-simplify]: Simplify 0 into 0
13.526 * [backup-simplify]: Simplify 0 into 0
13.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.527 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.530 * [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
13.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.530 * [backup-simplify]: Simplify (- 0) into 0
13.531 * [backup-simplify]: Simplify (+ 0 0) into 0
13.531 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
13.532 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
13.533 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
13.535 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.535 * [taylor]: Taking taylor expansion of 0 in k
13.535 * [backup-simplify]: Simplify 0 into 0
13.535 * [backup-simplify]: Simplify 0 into 0
13.537 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
13.537 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
13.537 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
13.538 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
13.538 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
13.538 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
13.538 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
13.538 * [taylor]: Taking taylor expansion of 1/4 in k
13.538 * [backup-simplify]: Simplify 1/4 into 1/4
13.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.538 * [taylor]: Taking taylor expansion of k in k
13.538 * [backup-simplify]: Simplify 0 into 0
13.538 * [backup-simplify]: Simplify 1 into 1
13.538 * [backup-simplify]: Simplify (/ 1 1) into 1
13.538 * [taylor]: Taking taylor expansion of 1 in k
13.538 * [backup-simplify]: Simplify 1 into 1
13.538 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
13.538 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
13.538 * [taylor]: Taking taylor expansion of -2 in k
13.538 * [backup-simplify]: Simplify -2 into -2
13.538 * [taylor]: Taking taylor expansion of (/ PI n) in k
13.538 * [taylor]: Taking taylor expansion of PI in k
13.538 * [backup-simplify]: Simplify PI into PI
13.538 * [taylor]: Taking taylor expansion of n in k
13.538 * [backup-simplify]: Simplify n into n
13.539 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
13.539 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
13.539 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
13.539 * [backup-simplify]: Simplify (+ 1 0) into 1
13.540 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
13.540 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
13.540 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
13.540 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
13.540 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.540 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.540 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
13.540 * [taylor]: Taking taylor expansion of 1/4 in n
13.540 * [backup-simplify]: Simplify 1/4 into 1/4
13.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.540 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.540 * [taylor]: Taking taylor expansion of k in n
13.540 * [backup-simplify]: Simplify k into k
13.540 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.540 * [taylor]: Taking taylor expansion of 1 in n
13.540 * [backup-simplify]: Simplify 1 into 1
13.540 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.540 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.540 * [taylor]: Taking taylor expansion of -2 in n
13.540 * [backup-simplify]: Simplify -2 into -2
13.540 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.541 * [taylor]: Taking taylor expansion of PI in n
13.541 * [backup-simplify]: Simplify PI into PI
13.541 * [taylor]: Taking taylor expansion of n in n
13.541 * [backup-simplify]: Simplify 0 into 0
13.541 * [backup-simplify]: Simplify 1 into 1
13.541 * [backup-simplify]: Simplify (/ PI 1) into PI
13.542 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.543 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.543 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.543 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
13.544 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.545 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.547 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.547 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
13.547 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
13.547 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
13.547 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
13.547 * [taylor]: Taking taylor expansion of 1/4 in n
13.547 * [backup-simplify]: Simplify 1/4 into 1/4
13.547 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
13.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.547 * [taylor]: Taking taylor expansion of k in n
13.547 * [backup-simplify]: Simplify k into k
13.547 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.547 * [taylor]: Taking taylor expansion of 1 in n
13.547 * [backup-simplify]: Simplify 1 into 1
13.547 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
13.547 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.547 * [taylor]: Taking taylor expansion of -2 in n
13.547 * [backup-simplify]: Simplify -2 into -2
13.547 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.547 * [taylor]: Taking taylor expansion of PI in n
13.547 * [backup-simplify]: Simplify PI into PI
13.547 * [taylor]: Taking taylor expansion of n in n
13.547 * [backup-simplify]: Simplify 0 into 0
13.547 * [backup-simplify]: Simplify 1 into 1
13.548 * [backup-simplify]: Simplify (/ PI 1) into PI
13.548 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.549 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.549 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
13.549 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
13.551 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.552 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
13.553 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
13.553 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
13.553 * [taylor]: Taking taylor expansion of 1/4 in k
13.553 * [backup-simplify]: Simplify 1/4 into 1/4
13.553 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
13.553 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
13.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.553 * [taylor]: Taking taylor expansion of k in k
13.553 * [backup-simplify]: Simplify 0 into 0
13.553 * [backup-simplify]: Simplify 1 into 1
13.554 * [backup-simplify]: Simplify (/ 1 1) into 1
13.554 * [taylor]: Taking taylor expansion of 1 in k
13.554 * [backup-simplify]: Simplify 1 into 1
13.554 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
13.554 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
13.554 * [taylor]: Taking taylor expansion of (* -2 PI) in k
13.554 * [taylor]: Taking taylor expansion of -2 in k
13.554 * [backup-simplify]: Simplify -2 into -2
13.554 * [taylor]: Taking taylor expansion of PI in k
13.554 * [backup-simplify]: Simplify PI into PI
13.554 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.555 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
13.555 * [taylor]: Taking taylor expansion of (log n) in k
13.555 * [taylor]: Taking taylor expansion of n in k
13.556 * [backup-simplify]: Simplify n into n
13.556 * [backup-simplify]: Simplify (log n) into (log n)
13.556 * [backup-simplify]: Simplify (+ 1 0) into 1
13.556 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.557 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
13.558 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
13.559 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
13.560 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.561 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
13.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.563 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.565 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
13.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.566 * [backup-simplify]: Simplify (+ 0 0) into 0
13.566 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
13.568 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.569 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
13.571 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.571 * [taylor]: Taking taylor expansion of 0 in k
13.571 * [backup-simplify]: Simplify 0 into 0
13.571 * [backup-simplify]: Simplify 0 into 0
13.571 * [backup-simplify]: Simplify 0 into 0
13.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.573 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.577 * [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
13.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.577 * [backup-simplify]: Simplify (+ 0 0) into 0
13.578 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
13.580 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.581 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
13.584 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
13.584 * [taylor]: Taking taylor expansion of 0 in k
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 0 into 0
13.584 * [backup-simplify]: Simplify 0 into 0
13.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.586 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.592 * [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
13.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
13.593 * [backup-simplify]: Simplify (+ 0 0) into 0
13.594 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
13.595 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
13.597 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
13.600 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
13.600 * [taylor]: Taking taylor expansion of 0 in k
13.600 * [backup-simplify]: Simplify 0 into 0
13.600 * [backup-simplify]: Simplify 0 into 0
13.601 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
13.601 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1)
13.602 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
13.602 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
13.602 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.602 * [taylor]: Taking taylor expansion of 2 in n
13.602 * [backup-simplify]: Simplify 2 into 2
13.602 * [taylor]: Taking taylor expansion of (* n PI) in n
13.602 * [taylor]: Taking taylor expansion of n in n
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify 1 into 1
13.602 * [taylor]: Taking taylor expansion of PI in n
13.602 * [backup-simplify]: Simplify PI into PI
13.602 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.602 * [taylor]: Taking taylor expansion of 2 in n
13.602 * [backup-simplify]: Simplify 2 into 2
13.602 * [taylor]: Taking taylor expansion of (* n PI) in n
13.602 * [taylor]: Taking taylor expansion of n in n
13.602 * [backup-simplify]: Simplify 0 into 0
13.602 * [backup-simplify]: Simplify 1 into 1
13.602 * [taylor]: Taking taylor expansion of PI in n
13.602 * [backup-simplify]: Simplify PI into PI
13.603 * [backup-simplify]: Simplify (* 0 PI) into 0
13.603 * [backup-simplify]: Simplify (* 2 0) into 0
13.603 * [backup-simplify]: Simplify 0 into 0
13.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.606 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.607 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.609 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.609 * [backup-simplify]: Simplify 0 into 0
13.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.611 * [backup-simplify]: Simplify 0 into 0
13.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.614 * [backup-simplify]: Simplify 0 into 0
13.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.617 * [backup-simplify]: Simplify 0 into 0
13.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.620 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.620 * [backup-simplify]: Simplify 0 into 0
13.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.624 * [backup-simplify]: Simplify 0 into 0
13.624 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.625 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
13.625 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
13.625 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.625 * [taylor]: Taking taylor expansion of 2 in n
13.625 * [backup-simplify]: Simplify 2 into 2
13.625 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.625 * [taylor]: Taking taylor expansion of PI in n
13.626 * [backup-simplify]: Simplify PI into PI
13.626 * [taylor]: Taking taylor expansion of n in n
13.626 * [backup-simplify]: Simplify 0 into 0
13.626 * [backup-simplify]: Simplify 1 into 1
13.626 * [backup-simplify]: Simplify (/ PI 1) into PI
13.626 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.626 * [taylor]: Taking taylor expansion of 2 in n
13.626 * [backup-simplify]: Simplify 2 into 2
13.626 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.626 * [taylor]: Taking taylor expansion of PI in n
13.626 * [backup-simplify]: Simplify PI into PI
13.626 * [taylor]: Taking taylor expansion of n in n
13.626 * [backup-simplify]: Simplify 0 into 0
13.626 * [backup-simplify]: Simplify 1 into 1
13.627 * [backup-simplify]: Simplify (/ PI 1) into PI
13.627 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.628 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.630 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.630 * [backup-simplify]: Simplify 0 into 0
13.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.632 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.632 * [backup-simplify]: Simplify 0 into 0
13.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.634 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.634 * [backup-simplify]: Simplify 0 into 0
13.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.637 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.637 * [backup-simplify]: Simplify 0 into 0
13.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.640 * [backup-simplify]: Simplify 0 into 0
13.641 * [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
13.643 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.643 * [backup-simplify]: Simplify 0 into 0
13.643 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
13.644 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
13.644 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
13.644 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.644 * [taylor]: Taking taylor expansion of -2 in n
13.644 * [backup-simplify]: Simplify -2 into -2
13.644 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.644 * [taylor]: Taking taylor expansion of PI in n
13.644 * [backup-simplify]: Simplify PI into PI
13.644 * [taylor]: Taking taylor expansion of n in n
13.644 * [backup-simplify]: Simplify 0 into 0
13.644 * [backup-simplify]: Simplify 1 into 1
13.645 * [backup-simplify]: Simplify (/ PI 1) into PI
13.645 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.645 * [taylor]: Taking taylor expansion of -2 in n
13.645 * [backup-simplify]: Simplify -2 into -2
13.645 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.645 * [taylor]: Taking taylor expansion of PI in n
13.645 * [backup-simplify]: Simplify PI into PI
13.645 * [taylor]: Taking taylor expansion of n in n
13.645 * [backup-simplify]: Simplify 0 into 0
13.645 * [backup-simplify]: Simplify 1 into 1
13.645 * [backup-simplify]: Simplify (/ PI 1) into PI
13.646 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.646 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.648 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.648 * [backup-simplify]: Simplify 0 into 0
13.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.650 * [backup-simplify]: Simplify 0 into 0
13.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.658 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.658 * [backup-simplify]: Simplify 0 into 0
13.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.661 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.661 * [backup-simplify]: Simplify 0 into 0
13.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.663 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.663 * [backup-simplify]: Simplify 0 into 0
13.665 * [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
13.666 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.666 * [backup-simplify]: Simplify 0 into 0
13.667 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
13.667 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
13.668 * [backup-simplify]: Simplify (* n (* 2 PI)) into (* 2 (* n PI))
13.668 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
13.668 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.668 * [taylor]: Taking taylor expansion of 2 in n
13.668 * [backup-simplify]: Simplify 2 into 2
13.668 * [taylor]: Taking taylor expansion of (* n PI) in n
13.668 * [taylor]: Taking taylor expansion of n in n
13.668 * [backup-simplify]: Simplify 0 into 0
13.668 * [backup-simplify]: Simplify 1 into 1
13.668 * [taylor]: Taking taylor expansion of PI in n
13.668 * [backup-simplify]: Simplify PI into PI
13.668 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
13.668 * [taylor]: Taking taylor expansion of 2 in n
13.668 * [backup-simplify]: Simplify 2 into 2
13.668 * [taylor]: Taking taylor expansion of (* n PI) in n
13.668 * [taylor]: Taking taylor expansion of n in n
13.668 * [backup-simplify]: Simplify 0 into 0
13.668 * [backup-simplify]: Simplify 1 into 1
13.668 * [taylor]: Taking taylor expansion of PI in n
13.668 * [backup-simplify]: Simplify PI into PI
13.669 * [backup-simplify]: Simplify (* 0 PI) into 0
13.669 * [backup-simplify]: Simplify (* 2 0) into 0
13.669 * [backup-simplify]: Simplify 0 into 0
13.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
13.672 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
13.673 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
13.675 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
13.675 * [backup-simplify]: Simplify 0 into 0
13.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
13.677 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
13.677 * [backup-simplify]: Simplify 0 into 0
13.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.680 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
13.680 * [backup-simplify]: Simplify 0 into 0
13.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.684 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
13.684 * [backup-simplify]: Simplify 0 into 0
13.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.687 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
13.687 * [backup-simplify]: Simplify 0 into 0
13.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
13.692 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
13.692 * [backup-simplify]: Simplify 0 into 0
13.692 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
13.693 * [backup-simplify]: Simplify (* (/ 1 n) (* 2 PI)) into (* 2 (/ PI n))
13.693 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
13.693 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.693 * [taylor]: Taking taylor expansion of 2 in n
13.693 * [backup-simplify]: Simplify 2 into 2
13.693 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.693 * [taylor]: Taking taylor expansion of PI in n
13.693 * [backup-simplify]: Simplify PI into PI
13.693 * [taylor]: Taking taylor expansion of n in n
13.693 * [backup-simplify]: Simplify 0 into 0
13.693 * [backup-simplify]: Simplify 1 into 1
13.694 * [backup-simplify]: Simplify (/ PI 1) into PI
13.694 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
13.694 * [taylor]: Taking taylor expansion of 2 in n
13.694 * [backup-simplify]: Simplify 2 into 2
13.694 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.694 * [taylor]: Taking taylor expansion of PI in n
13.694 * [backup-simplify]: Simplify PI into PI
13.694 * [taylor]: Taking taylor expansion of n in n
13.694 * [backup-simplify]: Simplify 0 into 0
13.694 * [backup-simplify]: Simplify 1 into 1
13.694 * [backup-simplify]: Simplify (/ PI 1) into PI
13.695 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.695 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
13.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.697 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
13.697 * [backup-simplify]: Simplify 0 into 0
13.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
13.699 * [backup-simplify]: Simplify 0 into 0
13.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.702 * [backup-simplify]: Simplify 0 into 0
13.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.704 * [backup-simplify]: Simplify 0 into 0
13.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.707 * [backup-simplify]: Simplify 0 into 0
13.708 * [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
13.710 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.710 * [backup-simplify]: Simplify 0 into 0
13.711 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
13.711 * [backup-simplify]: Simplify (* (/ 1 (- n)) (* 2 PI)) into (* -2 (/ PI n))
13.711 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
13.711 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.711 * [taylor]: Taking taylor expansion of -2 in n
13.711 * [backup-simplify]: Simplify -2 into -2
13.711 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.711 * [taylor]: Taking taylor expansion of PI in n
13.711 * [backup-simplify]: Simplify PI into PI
13.711 * [taylor]: Taking taylor expansion of n in n
13.711 * [backup-simplify]: Simplify 0 into 0
13.711 * [backup-simplify]: Simplify 1 into 1
13.712 * [backup-simplify]: Simplify (/ PI 1) into PI
13.712 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
13.712 * [taylor]: Taking taylor expansion of -2 in n
13.712 * [backup-simplify]: Simplify -2 into -2
13.712 * [taylor]: Taking taylor expansion of (/ PI n) in n
13.712 * [taylor]: Taking taylor expansion of PI in n
13.712 * [backup-simplify]: Simplify PI into PI
13.712 * [taylor]: Taking taylor expansion of n in n
13.712 * [backup-simplify]: Simplify 0 into 0
13.712 * [backup-simplify]: Simplify 1 into 1
13.713 * [backup-simplify]: Simplify (/ PI 1) into PI
13.713 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.714 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
13.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
13.715 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
13.715 * [backup-simplify]: Simplify 0 into 0
13.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.717 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
13.717 * [backup-simplify]: Simplify 0 into 0
13.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.720 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
13.720 * [backup-simplify]: Simplify 0 into 0
13.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.722 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
13.722 * [backup-simplify]: Simplify 0 into 0
13.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.725 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
13.725 * [backup-simplify]: Simplify 0 into 0
13.726 * [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
13.727 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
13.728 * [backup-simplify]: Simplify 0 into 0
13.728 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
13.728 * * * [progress]: simplifying candidates
13.728 * * * * [progress]: [ 1 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.728 * * * * [progress]: [ 2 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.728 * * * * [progress]: [ 3 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 4 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 5 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 6 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 7 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 8 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 9 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 10 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))))))>
13.729 * * * * [progress]: [ 11 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 12 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))>
13.729 * * * * [progress]: [ 13 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))))>
13.729 * * * * [progress]: [ 14 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))))>
13.729 * * * * [progress]: [ 15 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))))>
13.729 * * * * [progress]: [ 16 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))))>
13.729 * * * * [progress]: [ 17 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))))>
13.730 * * * * [progress]: [ 18 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))))>
13.730 * * * * [progress]: [ 19 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
13.730 * * * * [progress]: [ 20 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
13.730 * * * * [progress]: [ 21 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)))))>
13.730 * * * * [progress]: [ 22 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
13.730 * * * * [progress]: [ 23 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
13.730 * * * * [progress]: [ 24 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)))))>
13.730 * * * * [progress]: [ 25 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))))))>
13.730 * * * * [progress]: [ 26 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))))))>
13.730 * * * * [progress]: [ 27 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)))))>
13.730 * * * * [progress]: [ 28 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
13.730 * * * * [progress]: [ 29 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
13.731 * * * * [progress]: [ 30 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)))))>
13.731 * * * * [progress]: [ 31 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
13.731 * * * * [progress]: [ 32 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
13.731 * * * * [progress]: [ 33 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)))))>
13.731 * * * * [progress]: [ 34 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))))))>
13.731 * * * * [progress]: [ 35 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))))))>
13.731 * * * * [progress]: [ 36 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)))))>
13.731 * * * * [progress]: [ 37 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
13.731 * * * * [progress]: [ 38 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
13.731 * * * * [progress]: [ 39 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
13.731 * * * * [progress]: [ 40 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
13.731 * * * * [progress]: [ 41 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
13.731 * * * * [progress]: [ 42 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
13.732 * * * * [progress]: [ 43 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
13.732 * * * * [progress]: [ 44 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
13.732 * * * * [progress]: [ 45 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
13.732 * * * * [progress]: [ 46 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))))))>
13.732 * * * * [progress]: [ 47 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))))))>
13.732 * * * * [progress]: [ 48 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)))))>
13.732 * * * * [progress]: [ 49 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))))))>
13.732 * * * * [progress]: [ 50 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))))))>
13.732 * * * * [progress]: [ 51 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)))))>
13.732 * * * * [progress]: [ 52 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))))))>
13.732 * * * * [progress]: [ 53 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))))))>
13.732 * * * * [progress]: [ 54 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)))))>
13.733 * * * * [progress]: [ 55 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))))))>
13.733 * * * * [progress]: [ 56 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))))))>
13.733 * * * * [progress]: [ 57 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)))))>
13.733 * * * * [progress]: [ 58 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))))))>
13.733 * * * * [progress]: [ 59 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))))))>
13.733 * * * * [progress]: [ 60 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)))))>
13.733 * * * * [progress]: [ 61 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))))))>
13.733 * * * * [progress]: [ 62 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))))))>
13.733 * * * * [progress]: [ 63 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))>
13.733 * * * * [progress]: [ 64 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
13.733 * * * * [progress]: [ 65 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
13.733 * * * * [progress]: [ 66 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
13.733 * * * * [progress]: [ 67 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
13.734 * * * * [progress]: [ 68 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
13.734 * * * * [progress]: [ 69 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
13.734 * * * * [progress]: [ 70 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
13.734 * * * * [progress]: [ 71 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
13.734 * * * * [progress]: [ 72 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
13.734 * * * * [progress]: [ 73 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
13.734 * * * * [progress]: [ 74 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
13.734 * * * * [progress]: [ 75 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)))))>
13.734 * * * * [progress]: [ 76 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))))))>
13.734 * * * * [progress]: [ 77 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))))))>
13.734 * * * * [progress]: [ 78 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)))))>
13.734 * * * * [progress]: [ 79 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
13.734 * * * * [progress]: [ 80 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)))))>
13.735 * * * * [progress]: [ 81 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))))>
13.735 * * * * [progress]: [ 82 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1))))>
13.735 * * * * [progress]: [ 83 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 84 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 85 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 86 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 87 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 88 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
13.735 * * * * [progress]: [ 89 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
13.735 * * * * [progress]: [ 90 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
13.735 * * * * [progress]: [ 91 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.735 * * * * [progress]: [ 92 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.735 * * * * [progress]: [ 93 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.735 * * * * [progress]: [ 94 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.735 * * * * [progress]: [ 95 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 96 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 97 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 98 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 99 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 100 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 101 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 102 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 103 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 104 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 105 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.736 * * * * [progress]: [ 106 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 107 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 108 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 109 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 110 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 111 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 112 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 113 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 114 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 115 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 116 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 117 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.737 * * * * [progress]: [ 118 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 119 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 120 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 121 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 122 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 123 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 124 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 125 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 126 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 127 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 128 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 129 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.738 * * * * [progress]: [ 130 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 131 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 132 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 133 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 134 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 135 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 136 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 137 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 138 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 139 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 140 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 141 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 142 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.739 * * * * [progress]: [ 143 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 144 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 145 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 146 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 147 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 148 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 149 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 150 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 151 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 152 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 153 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 154 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 155 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.740 * * * * [progress]: [ 156 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 157 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 158 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 159 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 160 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 161 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 162 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 163 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 164 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 165 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 166 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 167 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 168 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.741 * * * * [progress]: [ 169 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 170 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 171 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 172 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 173 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 174 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 175 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 176 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 177 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 178 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 179 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 180 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 181 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 182 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 183 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
13.742 * * * * [progress]: [ 184 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 185 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 186 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 187 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 188 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 189 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 190 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 191 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 192 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 193 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 194 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 195 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 196 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 197 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 198 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>
13.743 * * * * [progress]: [ 199 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 200 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 201 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 202 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 203 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 204 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 205 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 206 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 207 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (+ (log 2) (log PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 208 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log n) (log (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 209 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 210 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 211 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 212 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 213 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI)))) (cbrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.744 * * * * [progress]: [ 214 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 215 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* n (* 2 PI))) (sqrt (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 216 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 217 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 218 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 219 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt n) (* (sqrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 220 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 221 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* n (* 2 PI)))) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 222 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* 2 PI) n) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 223 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))))>
13.745 * * * * [progress]: [ 224 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
13.745 * * * * [progress]: [ 225 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
13.745 * * * * [progress]: [ 226 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.745 * * * * [progress]: [ 227 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 228 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 229 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 230 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 231 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 232 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 233 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.746 * * * * [progress]: [ 234 / 234 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
13.749 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (expm1 (* n (* 2 PI)))
  (log1p (* n (* 2 PI)))
  (* n (* 2 PI))
  (* n (* 2 PI))
  (+ (log n) (+ (log 2) (log PI)))
  (+ (log n) (log (* 2 PI)))
  (log (* n (* 2 PI)))
  (exp (* n (* 2 PI)))
  (* (* (* n n) n) (* (* (* 2 2) 2) (* (* PI PI) PI)))
  (* (* (* n n) n) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
  (* (cbrt (* n (* 2 PI))) (cbrt (* n (* 2 PI))))
  (cbrt (* n (* 2 PI)))
  (* (* (* n (* 2 PI)) (* n (* 2 PI))) (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (sqrt (* n (* 2 PI)))
  (* n 2)
  (* (cbrt n) (* 2 PI))
  (* (sqrt n) (* 2 PI))
  (* n (* 2 PI))
  (real->posit16 (* n (* 2 PI)))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
13.756 * * [simplify]: iteration 1: (261 enodes)
13.853 * * [simplify]: iteration 2: (812 enodes)
15.302 * * [simplify]: Extracting #0: cost 67 inf + 0
15.303 * * [simplify]: Extracting #1: cost 339 inf + 0
15.308 * * [simplify]: Extracting #2: cost 669 inf + 3322
15.314 * * [simplify]: Extracting #3: cost 661 inf + 29710
15.329 * * [simplify]: Extracting #4: cost 383 inf + 106636
15.385 * * [simplify]: Extracting #5: cost 105 inf + 217285
15.460 * * [simplify]: Extracting #6: cost 23 inf + 259476
15.508 * * [simplify]: Extracting #7: cost 11 inf + 263208
15.559 * * [simplify]: Extracting #8: cost 1 inf + 266289
15.605 * * [simplify]: Extracting #9: cost 0 inf + 266957
15.656 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (log1p (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* 1/4 (log (* (* PI 2) n))))
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* (* PI 2) n) (sqrt (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1/2 (/ k 2))) (/ (sqrt 2) (cbrt (- 1/2 (/ k 2))))))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (/ (sqrt 2) (/ (cbrt (- 1 k)) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (/ (sqrt 2) (/ (cbrt (- 1 k)) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) 2))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) 2))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))
  (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 3)
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (expm1 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (log1p (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (- 1/4 (/ k 4))
  (exp (* 1/4 (log (* (* PI 2) n))))
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (- 1/4 (/ k 4))) (cbrt (- 1/4 (/ k 4)))))
  (pow (* (* PI 2) n) (sqrt (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2)) (/ (cbrt (- 1/2 (/ k 2))) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1/2 (/ k 2))) (/ (sqrt 2) (cbrt (- 1/2 (/ k 2))))))
  (pow (* (* PI 2) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1/2 (/ k 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* PI 2) n) (* (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (/ (sqrt 2) (/ (cbrt (- 1 k)) (cbrt 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (/ (sqrt 2) (/ (cbrt (- 1 k)) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ 2 (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (- 1 k)) (/ (sqrt 2) (cbrt (- 1 k)))))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) 2))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) 2))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) 2))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (sqrt (* (* PI 2) n))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (- 1/2 (/ k 2)))
  (pow n (- 1/4 (/ k 4)))
  (pow (* PI 2) (- 1/4 (/ k 4)))
  (* (- 1/4 (/ k 4)) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (* (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))) (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4)))))
  (cbrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (pow (* (* PI 2) n) (- 1/4 (/ k 4))) 3)
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (sqrt (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (pow (* (* PI 2) n) (- 1/8 (/ k 8)))
  (real->posit16 (pow (* (* PI 2) n) (- 1/4 (/ k 4))))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* 8 (* n (* n n))) (* (* PI PI) PI))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (* 2 (cbrt n)) PI)
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (expm1 (* (* PI 2) n))
  (log1p (* (* PI 2) n))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (log (* (* PI 2) n))
  (* (exp (* n PI)) (exp (* n PI)))
  (* (* 8 (* n (* n n))) (* (* PI PI) PI))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (* (cbrt (* (* PI 2) n)) (cbrt (* (* PI 2) n)))
  (cbrt (* (* PI 2) n))
  (* (* (* (* PI 2) n) (* (* PI 2) n)) (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (sqrt (* (* PI 2) n))
  (* n 2)
  (* (* 2 (cbrt n)) PI)
  (* (sqrt n) (* PI 2))
  (* (* PI 2) n)
  (real->posit16 (* (* PI 2) n))
  (fma (* (* (* (log (* PI 2)) (exp (* 1/4 (log (* (* PI 2) n))))) (* k k)) (log n)) 1/16 (- (fma 1/32 (* (* k k) (+ (* (* (log n) (exp (* 1/4 (log (* (* PI 2) n))))) (log n)) (* (exp (* 1/4 (log (* (* PI 2) n)))) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* 1/4 (log (* (* PI 2) n))))) (* (* k (+ (* (log n) (exp (* 1/4 (log (* (* PI 2) n))))) (* (log (* PI 2)) (exp (* 1/4 (log (* (* PI 2) n))))))) 1/4)))
  (exp (* (* 1/4 (log (* (* PI 2) n))) (- 1 k)))
  (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (fma (* (* (* (log (* PI 2)) (exp (* 1/4 (log (* (* PI 2) n))))) (* k k)) (log n)) 1/16 (- (fma 1/32 (* (* k k) (+ (* (* (log n) (exp (* 1/4 (log (* (* PI 2) n))))) (log n)) (* (exp (* 1/4 (log (* (* PI 2) n)))) (* (log (* PI 2)) (log (* PI 2)))))) (exp (* 1/4 (log (* (* PI 2) n))))) (* (* k (+ (* (log n) (exp (* 1/4 (log (* (* PI 2) n))))) (* (log (* PI 2)) (exp (* 1/4 (log (* (* PI 2) n))))))) 1/4)))
  (exp (* (* 1/4 (log (* (* PI 2) n))) (- 1 k)))
  (exp (* (* 1/4 (- 1 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
  (* (* PI 2) n)
15.677 * * * [progress]: adding candidates to table
19.368 * * [progress]: iteration 3 / 4
19.368 * * * [progress]: picking best candidate
19.444 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
19.444 * * * [progress]: localizing error
19.487 * * * [progress]: generating rewritten candidates
19.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
19.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
19.559 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
19.593 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
19.714 * * * [progress]: generating series expansions
19.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
19.716 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
19.716 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
19.716 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
19.716 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
19.716 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
19.716 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
19.716 * [taylor]: Taking taylor expansion of 1/4 in k
19.716 * [backup-simplify]: Simplify 1/4 into 1/4
19.716 * [taylor]: Taking taylor expansion of (- 1 k) in k
19.716 * [taylor]: Taking taylor expansion of 1 in k
19.716 * [backup-simplify]: Simplify 1 into 1
19.716 * [taylor]: Taking taylor expansion of k in k
19.716 * [backup-simplify]: Simplify 0 into 0
19.716 * [backup-simplify]: Simplify 1 into 1
19.716 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
19.716 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
19.716 * [taylor]: Taking taylor expansion of 2 in k
19.716 * [backup-simplify]: Simplify 2 into 2
19.716 * [taylor]: Taking taylor expansion of (* n PI) in k
19.716 * [taylor]: Taking taylor expansion of n in k
19.716 * [backup-simplify]: Simplify n into n
19.716 * [taylor]: Taking taylor expansion of PI in k
19.716 * [backup-simplify]: Simplify PI into PI
19.716 * [backup-simplify]: Simplify (* n PI) into (* n PI)
19.717 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
19.717 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
19.717 * [backup-simplify]: Simplify (- 0) into 0
19.718 * [backup-simplify]: Simplify (+ 1 0) into 1
19.718 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
19.718 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
19.718 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
19.718 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
19.718 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
19.719 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
19.719 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
19.719 * [taylor]: Taking taylor expansion of 1/4 in n
19.719 * [backup-simplify]: Simplify 1/4 into 1/4
19.719 * [taylor]: Taking taylor expansion of (- 1 k) in n
19.719 * [taylor]: Taking taylor expansion of 1 in n
19.719 * [backup-simplify]: Simplify 1 into 1
19.719 * [taylor]: Taking taylor expansion of k in n
19.719 * [backup-simplify]: Simplify k into k
19.719 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
19.719 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
19.719 * [taylor]: Taking taylor expansion of 2 in n
19.719 * [backup-simplify]: Simplify 2 into 2
19.719 * [taylor]: Taking taylor expansion of (* n PI) in n
19.719 * [taylor]: Taking taylor expansion of n in n
19.719 * [backup-simplify]: Simplify 0 into 0
19.719 * [backup-simplify]: Simplify 1 into 1
19.719 * [taylor]: Taking taylor expansion of PI in n
19.719 * [backup-simplify]: Simplify PI into PI
19.719 * [backup-simplify]: Simplify (* 0 PI) into 0
19.720 * [backup-simplify]: Simplify (* 2 0) into 0
19.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
19.723 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
19.724 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.724 * [backup-simplify]: Simplify (- k) into (- k)
19.724 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
19.724 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
19.726 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.727 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
19.728 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
19.728 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
19.728 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
19.728 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
19.728 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
19.728 * [taylor]: Taking taylor expansion of 1/4 in n
19.728 * [backup-simplify]: Simplify 1/4 into 1/4
19.728 * [taylor]: Taking taylor expansion of (- 1 k) in n
19.728 * [taylor]: Taking taylor expansion of 1 in n
19.728 * [backup-simplify]: Simplify 1 into 1
19.728 * [taylor]: Taking taylor expansion of k in n
19.728 * [backup-simplify]: Simplify k into k
19.728 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
19.728 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
19.729 * [taylor]: Taking taylor expansion of 2 in n
19.729 * [backup-simplify]: Simplify 2 into 2
19.729 * [taylor]: Taking taylor expansion of (* n PI) in n
19.729 * [taylor]: Taking taylor expansion of n in n
19.729 * [backup-simplify]: Simplify 0 into 0
19.729 * [backup-simplify]: Simplify 1 into 1
19.729 * [taylor]: Taking taylor expansion of PI in n
19.729 * [backup-simplify]: Simplify PI into PI
19.729 * [backup-simplify]: Simplify (* 0 PI) into 0
19.730 * [backup-simplify]: Simplify (* 2 0) into 0
19.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
19.733 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
19.734 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.734 * [backup-simplify]: Simplify (- k) into (- k)
19.734 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
19.734 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
19.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.736 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
19.738 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
19.738 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
19.738 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
19.738 * [taylor]: Taking taylor expansion of 1/4 in k
19.738 * [backup-simplify]: Simplify 1/4 into 1/4
19.738 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
19.738 * [taylor]: Taking taylor expansion of (- 1 k) in k
19.738 * [taylor]: Taking taylor expansion of 1 in k
19.738 * [backup-simplify]: Simplify 1 into 1
19.738 * [taylor]: Taking taylor expansion of k in k
19.738 * [backup-simplify]: Simplify 0 into 0
19.738 * [backup-simplify]: Simplify 1 into 1
19.738 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
19.738 * [taylor]: Taking taylor expansion of (log n) in k
19.738 * [taylor]: Taking taylor expansion of n in k
19.738 * [backup-simplify]: Simplify n into n
19.738 * [backup-simplify]: Simplify (log n) into (log n)
19.738 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
19.738 * [taylor]: Taking taylor expansion of (* 2 PI) in k
19.738 * [taylor]: Taking taylor expansion of 2 in k
19.738 * [backup-simplify]: Simplify 2 into 2
19.738 * [taylor]: Taking taylor expansion of PI in k
19.738 * [backup-simplify]: Simplify PI into PI
19.739 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
19.740 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.740 * [backup-simplify]: Simplify (- 0) into 0
19.741 * [backup-simplify]: Simplify (+ 1 0) into 1
19.742 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.743 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
19.744 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
19.745 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
19.746 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
19.747 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
19.748 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
19.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
19.750 * [backup-simplify]: Simplify (- 0) into 0
19.750 * [backup-simplify]: Simplify (+ 0 0) into 0
19.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
19.752 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.752 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
19.754 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.754 * [taylor]: Taking taylor expansion of 0 in k
19.754 * [backup-simplify]: Simplify 0 into 0
19.754 * [backup-simplify]: Simplify 0 into 0
19.754 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
19.755 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
19.756 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
19.756 * [backup-simplify]: Simplify (+ 0 0) into 0
19.756 * [backup-simplify]: Simplify (- 1) into -1
19.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
19.757 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
19.759 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
19.761 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
19.762 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
19.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
19.764 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
19.766 * [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
19.766 * [backup-simplify]: Simplify (- 0) into 0
19.766 * [backup-simplify]: Simplify (+ 0 0) into 0
19.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
19.768 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.769 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.770 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.770 * [taylor]: Taking taylor expansion of 0 in k
19.770 * [backup-simplify]: Simplify 0 into 0
19.770 * [backup-simplify]: Simplify 0 into 0
19.770 * [backup-simplify]: Simplify 0 into 0
19.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
19.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
19.774 * [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
19.774 * [backup-simplify]: Simplify (+ 0 0) into 0
19.775 * [backup-simplify]: Simplify (- 0) into 0
19.775 * [backup-simplify]: Simplify (+ 0 0) into 0
19.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.791 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
19.794 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
19.800 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
19.800 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
19.800 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
19.800 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
19.800 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
19.800 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
19.800 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
19.800 * [taylor]: Taking taylor expansion of 1/4 in k
19.801 * [backup-simplify]: Simplify 1/4 into 1/4
19.801 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
19.801 * [taylor]: Taking taylor expansion of 1 in k
19.801 * [backup-simplify]: Simplify 1 into 1
19.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.801 * [taylor]: Taking taylor expansion of k in k
19.801 * [backup-simplify]: Simplify 0 into 0
19.801 * [backup-simplify]: Simplify 1 into 1
19.801 * [backup-simplify]: Simplify (/ 1 1) into 1
19.801 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
19.801 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
19.801 * [taylor]: Taking taylor expansion of 2 in k
19.801 * [backup-simplify]: Simplify 2 into 2
19.801 * [taylor]: Taking taylor expansion of (/ PI n) in k
19.801 * [taylor]: Taking taylor expansion of PI in k
19.801 * [backup-simplify]: Simplify PI into PI
19.801 * [taylor]: Taking taylor expansion of n in k
19.801 * [backup-simplify]: Simplify n into n
19.801 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
19.801 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
19.801 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
19.801 * [backup-simplify]: Simplify (- 1) into -1
19.802 * [backup-simplify]: Simplify (+ 0 -1) into -1
19.802 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
19.802 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
19.802 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
19.802 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
19.802 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
19.802 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
19.802 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
19.802 * [taylor]: Taking taylor expansion of 1/4 in n
19.802 * [backup-simplify]: Simplify 1/4 into 1/4
19.802 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
19.802 * [taylor]: Taking taylor expansion of 1 in n
19.802 * [backup-simplify]: Simplify 1 into 1
19.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.802 * [taylor]: Taking taylor expansion of k in n
19.802 * [backup-simplify]: Simplify k into k
19.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.802 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
19.802 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
19.802 * [taylor]: Taking taylor expansion of 2 in n
19.803 * [backup-simplify]: Simplify 2 into 2
19.803 * [taylor]: Taking taylor expansion of (/ PI n) in n
19.803 * [taylor]: Taking taylor expansion of PI in n
19.803 * [backup-simplify]: Simplify PI into PI
19.803 * [taylor]: Taking taylor expansion of n in n
19.803 * [backup-simplify]: Simplify 0 into 0
19.803 * [backup-simplify]: Simplify 1 into 1
19.803 * [backup-simplify]: Simplify (/ PI 1) into PI
19.803 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
19.804 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.804 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
19.804 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
19.804 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
19.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
19.806 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
19.807 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
19.807 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
19.807 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
19.807 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
19.807 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
19.807 * [taylor]: Taking taylor expansion of 1/4 in n
19.807 * [backup-simplify]: Simplify 1/4 into 1/4
19.807 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
19.807 * [taylor]: Taking taylor expansion of 1 in n
19.807 * [backup-simplify]: Simplify 1 into 1
19.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.807 * [taylor]: Taking taylor expansion of k in n
19.807 * [backup-simplify]: Simplify k into k
19.807 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.807 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
19.807 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
19.807 * [taylor]: Taking taylor expansion of 2 in n
19.807 * [backup-simplify]: Simplify 2 into 2
19.807 * [taylor]: Taking taylor expansion of (/ PI n) in n
19.807 * [taylor]: Taking taylor expansion of PI in n
19.807 * [backup-simplify]: Simplify PI into PI
19.807 * [taylor]: Taking taylor expansion of n in n
19.807 * [backup-simplify]: Simplify 0 into 0
19.807 * [backup-simplify]: Simplify 1 into 1
19.808 * [backup-simplify]: Simplify (/ PI 1) into PI
19.808 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
19.809 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.809 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
19.809 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
19.809 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
19.810 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
19.810 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
19.811 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
19.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
19.811 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
19.811 * [taylor]: Taking taylor expansion of 1/4 in k
19.811 * [backup-simplify]: Simplify 1/4 into 1/4
19.811 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
19.811 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
19.811 * [taylor]: Taking taylor expansion of 1 in k
19.811 * [backup-simplify]: Simplify 1 into 1
19.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.811 * [taylor]: Taking taylor expansion of k in k
19.811 * [backup-simplify]: Simplify 0 into 0
19.811 * [backup-simplify]: Simplify 1 into 1
19.812 * [backup-simplify]: Simplify (/ 1 1) into 1
19.812 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
19.812 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
19.812 * [taylor]: Taking taylor expansion of (* 2 PI) in k
19.812 * [taylor]: Taking taylor expansion of 2 in k
19.812 * [backup-simplify]: Simplify 2 into 2
19.812 * [taylor]: Taking taylor expansion of PI in k
19.812 * [backup-simplify]: Simplify PI into PI
19.812 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
19.813 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.813 * [taylor]: Taking taylor expansion of (log n) in k
19.813 * [taylor]: Taking taylor expansion of n in k
19.813 * [backup-simplify]: Simplify n into n
19.813 * [backup-simplify]: Simplify (log n) into (log n)
19.813 * [backup-simplify]: Simplify (- 1) into -1
19.813 * [backup-simplify]: Simplify (+ 0 -1) into -1
19.813 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
19.814 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
19.815 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
19.815 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
19.816 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
19.817 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
19.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
19.818 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
19.819 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
19.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
19.819 * [backup-simplify]: Simplify (- 0) into 0
19.819 * [backup-simplify]: Simplify (+ 0 0) into 0
19.820 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
19.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
19.821 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
19.822 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.822 * [taylor]: Taking taylor expansion of 0 in k
19.823 * [backup-simplify]: Simplify 0 into 0
19.823 * [backup-simplify]: Simplify 0 into 0
19.823 * [backup-simplify]: Simplify 0 into 0
19.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.825 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
19.828 * [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
19.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.829 * [backup-simplify]: Simplify (- 0) into 0
19.829 * [backup-simplify]: Simplify (+ 0 0) into 0
19.830 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
19.831 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
19.833 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
19.835 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.835 * [taylor]: Taking taylor expansion of 0 in k
19.835 * [backup-simplify]: Simplify 0 into 0
19.835 * [backup-simplify]: Simplify 0 into 0
19.835 * [backup-simplify]: Simplify 0 into 0
19.835 * [backup-simplify]: Simplify 0 into 0
19.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.838 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
19.844 * [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
19.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.845 * [backup-simplify]: Simplify (- 0) into 0
19.845 * [backup-simplify]: Simplify (+ 0 0) into 0
19.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
19.848 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
19.850 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
19.853 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.853 * [taylor]: Taking taylor expansion of 0 in k
19.853 * [backup-simplify]: Simplify 0 into 0
19.853 * [backup-simplify]: Simplify 0 into 0
19.855 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
19.855 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
19.855 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
19.855 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
19.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
19.856 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
19.856 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
19.856 * [taylor]: Taking taylor expansion of 1/4 in k
19.856 * [backup-simplify]: Simplify 1/4 into 1/4
19.856 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
19.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.856 * [taylor]: Taking taylor expansion of k in k
19.856 * [backup-simplify]: Simplify 0 into 0
19.856 * [backup-simplify]: Simplify 1 into 1
19.856 * [backup-simplify]: Simplify (/ 1 1) into 1
19.856 * [taylor]: Taking taylor expansion of 1 in k
19.856 * [backup-simplify]: Simplify 1 into 1
19.856 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
19.856 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
19.856 * [taylor]: Taking taylor expansion of -2 in k
19.856 * [backup-simplify]: Simplify -2 into -2
19.856 * [taylor]: Taking taylor expansion of (/ PI n) in k
19.856 * [taylor]: Taking taylor expansion of PI in k
19.856 * [backup-simplify]: Simplify PI into PI
19.856 * [taylor]: Taking taylor expansion of n in k
19.856 * [backup-simplify]: Simplify n into n
19.857 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
19.857 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
19.857 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
19.857 * [backup-simplify]: Simplify (+ 1 0) into 1
19.858 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
19.858 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
19.858 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
19.858 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
19.858 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
19.858 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
19.858 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
19.858 * [taylor]: Taking taylor expansion of 1/4 in n
19.858 * [backup-simplify]: Simplify 1/4 into 1/4
19.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
19.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.858 * [taylor]: Taking taylor expansion of k in n
19.858 * [backup-simplify]: Simplify k into k
19.858 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.858 * [taylor]: Taking taylor expansion of 1 in n
19.858 * [backup-simplify]: Simplify 1 into 1
19.858 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
19.858 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
19.858 * [taylor]: Taking taylor expansion of -2 in n
19.858 * [backup-simplify]: Simplify -2 into -2
19.858 * [taylor]: Taking taylor expansion of (/ PI n) in n
19.858 * [taylor]: Taking taylor expansion of PI in n
19.859 * [backup-simplify]: Simplify PI into PI
19.859 * [taylor]: Taking taylor expansion of n in n
19.859 * [backup-simplify]: Simplify 0 into 0
19.859 * [backup-simplify]: Simplify 1 into 1
19.859 * [backup-simplify]: Simplify (/ PI 1) into PI
19.860 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
19.861 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
19.861 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
19.861 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
19.862 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
19.863 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
19.865 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
19.865 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
19.865 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
19.865 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
19.865 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
19.865 * [taylor]: Taking taylor expansion of 1/4 in n
19.865 * [backup-simplify]: Simplify 1/4 into 1/4
19.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
19.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n
19.865 * [taylor]: Taking taylor expansion of k in n
19.865 * [backup-simplify]: Simplify k into k
19.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
19.865 * [taylor]: Taking taylor expansion of 1 in n
19.865 * [backup-simplify]: Simplify 1 into 1
19.865 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
19.865 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
19.865 * [taylor]: Taking taylor expansion of -2 in n
19.865 * [backup-simplify]: Simplify -2 into -2
19.865 * [taylor]: Taking taylor expansion of (/ PI n) in n
19.865 * [taylor]: Taking taylor expansion of PI in n
19.865 * [backup-simplify]: Simplify PI into PI
19.865 * [taylor]: Taking taylor expansion of n in n
19.865 * [backup-simplify]: Simplify 0 into 0
19.865 * [backup-simplify]: Simplify 1 into 1
19.866 * [backup-simplify]: Simplify (/ PI 1) into PI
19.866 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
19.867 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
19.867 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
19.867 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
19.869 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
19.870 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
19.871 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
19.872 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
19.872 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
19.872 * [taylor]: Taking taylor expansion of 1/4 in k
19.872 * [backup-simplify]: Simplify 1/4 into 1/4
19.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
19.872 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
19.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.872 * [taylor]: Taking taylor expansion of k in k
19.872 * [backup-simplify]: Simplify 0 into 0
19.872 * [backup-simplify]: Simplify 1 into 1
19.872 * [backup-simplify]: Simplify (/ 1 1) into 1
19.872 * [taylor]: Taking taylor expansion of 1 in k
19.872 * [backup-simplify]: Simplify 1 into 1
19.872 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
19.872 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
19.872 * [taylor]: Taking taylor expansion of (* -2 PI) in k
19.872 * [taylor]: Taking taylor expansion of -2 in k
19.872 * [backup-simplify]: Simplify -2 into -2
19.872 * [taylor]: Taking taylor expansion of PI in k
19.872 * [backup-simplify]: Simplify PI into PI
19.873 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
19.874 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
19.874 * [taylor]: Taking taylor expansion of (log n) in k
19.874 * [taylor]: Taking taylor expansion of n in k
19.874 * [backup-simplify]: Simplify n into n
19.874 * [backup-simplify]: Simplify (log n) into (log n)
19.875 * [backup-simplify]: Simplify (+ 1 0) into 1
19.875 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
19.876 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
19.877 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
19.878 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
19.879 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
19.880 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
19.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
19.882 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
19.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
19.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
19.884 * [backup-simplify]: Simplify (+ 0 0) into 0
19.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
19.886 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
19.887 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
19.889 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.889 * [taylor]: Taking taylor expansion of 0 in k
19.889 * [backup-simplify]: Simplify 0 into 0
19.889 * [backup-simplify]: Simplify 0 into 0
19.889 * [backup-simplify]: Simplify 0 into 0
19.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.891 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
19.895 * [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
19.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.895 * [backup-simplify]: Simplify (+ 0 0) into 0
19.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
19.897 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
19.899 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
19.901 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.901 * [taylor]: Taking taylor expansion of 0 in k
19.901 * [backup-simplify]: Simplify 0 into 0
19.901 * [backup-simplify]: Simplify 0 into 0
19.902 * [backup-simplify]: Simplify 0 into 0
19.902 * [backup-simplify]: Simplify 0 into 0
19.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.904 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
19.910 * [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
19.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
19.911 * [backup-simplify]: Simplify (+ 0 0) into 0
19.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
19.919 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
19.920 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
19.923 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
19.923 * [taylor]: Taking taylor expansion of 0 in k
19.923 * [backup-simplify]: Simplify 0 into 0
19.923 * [backup-simplify]: Simplify 0 into 0
19.924 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
19.925 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
19.925 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) into (pow (* 2 (* n PI)) (* 1/8 (- 1 k)))
19.925 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in (n k) around 0
19.925 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
19.925 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
19.925 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
19.925 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
19.925 * [taylor]: Taking taylor expansion of 1/8 in k
19.925 * [backup-simplify]: Simplify 1/8 into 1/8
19.925 * [taylor]: Taking taylor expansion of (- 1 k) in k
19.925 * [taylor]: Taking taylor expansion of 1 in k
19.926 * [backup-simplify]: Simplify 1 into 1
19.926 * [taylor]: Taking taylor expansion of k in k
19.926 * [backup-simplify]: Simplify 0 into 0
19.926 * [backup-simplify]: Simplify 1 into 1
19.926 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
19.926 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
19.926 * [taylor]: Taking taylor expansion of 2 in k
19.926 * [backup-simplify]: Simplify 2 into 2
19.926 * [taylor]: Taking taylor expansion of (* n PI) in k
19.926 * [taylor]: Taking taylor expansion of n in k
19.926 * [backup-simplify]: Simplify n into n
19.926 * [taylor]: Taking taylor expansion of PI in k
19.926 * [backup-simplify]: Simplify PI into PI
19.926 * [backup-simplify]: Simplify (* n PI) into (* n PI)
19.926 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
19.926 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
19.926 * [backup-simplify]: Simplify (- 0) into 0
19.927 * [backup-simplify]: Simplify (+ 1 0) into 1
19.927 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
19.927 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
19.928 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
19.928 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
19.928 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
19.928 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
19.928 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
19.928 * [taylor]: Taking taylor expansion of 1/8 in n
19.928 * [backup-simplify]: Simplify 1/8 into 1/8
19.928 * [taylor]: Taking taylor expansion of (- 1 k) in n
19.928 * [taylor]: Taking taylor expansion of 1 in n
19.928 * [backup-simplify]: Simplify 1 into 1
19.928 * [taylor]: Taking taylor expansion of k in n
19.928 * [backup-simplify]: Simplify k into k
19.928 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
19.928 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
19.928 * [taylor]: Taking taylor expansion of 2 in n
19.928 * [backup-simplify]: Simplify 2 into 2
19.928 * [taylor]: Taking taylor expansion of (* n PI) in n
19.928 * [taylor]: Taking taylor expansion of n in n
19.928 * [backup-simplify]: Simplify 0 into 0
19.928 * [backup-simplify]: Simplify 1 into 1
19.928 * [taylor]: Taking taylor expansion of PI in n
19.928 * [backup-simplify]: Simplify PI into PI
19.929 * [backup-simplify]: Simplify (* 0 PI) into 0
19.929 * [backup-simplify]: Simplify (* 2 0) into 0
19.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
19.932 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
19.933 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.933 * [backup-simplify]: Simplify (- k) into (- k)
19.933 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
19.933 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
19.935 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.936 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
19.937 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
19.937 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
19.937 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
19.937 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
19.937 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
19.937 * [taylor]: Taking taylor expansion of 1/8 in n
19.937 * [backup-simplify]: Simplify 1/8 into 1/8
19.937 * [taylor]: Taking taylor expansion of (- 1 k) in n
19.937 * [taylor]: Taking taylor expansion of 1 in n
19.937 * [backup-simplify]: Simplify 1 into 1
19.937 * [taylor]: Taking taylor expansion of k in n
19.937 * [backup-simplify]: Simplify k into k
19.937 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
19.938 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
19.938 * [taylor]: Taking taylor expansion of 2 in n
19.938 * [backup-simplify]: Simplify 2 into 2
19.938 * [taylor]: Taking taylor expansion of (* n PI) in n
19.938 * [taylor]: Taking taylor expansion of n in n
19.938 * [backup-simplify]: Simplify 0 into 0
19.938 * [backup-simplify]: Simplify 1 into 1
19.938 * [taylor]: Taking taylor expansion of PI in n
19.938 * [backup-simplify]: Simplify PI into PI
19.938 * [backup-simplify]: Simplify (* 0 PI) into 0
19.939 * [backup-simplify]: Simplify (* 2 0) into 0
19.940 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
19.942 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
19.942 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.943 * [backup-simplify]: Simplify (- k) into (- k)
19.943 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
19.943 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
19.943 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.944 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
19.945 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
19.945 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
19.945 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
19.945 * [taylor]: Taking taylor expansion of 1/8 in k
19.945 * [backup-simplify]: Simplify 1/8 into 1/8
19.945 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
19.945 * [taylor]: Taking taylor expansion of (- 1 k) in k
19.945 * [taylor]: Taking taylor expansion of 1 in k
19.945 * [backup-simplify]: Simplify 1 into 1
19.945 * [taylor]: Taking taylor expansion of k in k
19.945 * [backup-simplify]: Simplify 0 into 0
19.945 * [backup-simplify]: Simplify 1 into 1
19.945 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
19.945 * [taylor]: Taking taylor expansion of (log n) in k
19.945 * [taylor]: Taking taylor expansion of n in k
19.945 * [backup-simplify]: Simplify n into n
19.945 * [backup-simplify]: Simplify (log n) into (log n)
19.945 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
19.945 * [taylor]: Taking taylor expansion of (* 2 PI) in k
19.945 * [taylor]: Taking taylor expansion of 2 in k
19.945 * [backup-simplify]: Simplify 2 into 2
19.945 * [taylor]: Taking taylor expansion of PI in k
19.945 * [backup-simplify]: Simplify PI into PI
19.946 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
19.946 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
19.946 * [backup-simplify]: Simplify (- 0) into 0
19.947 * [backup-simplify]: Simplify (+ 1 0) into 1
19.947 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.948 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
19.948 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
19.949 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
19.950 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
19.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
19.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
19.952 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
19.952 * [backup-simplify]: Simplify (- 0) into 0
19.952 * [backup-simplify]: Simplify (+ 0 0) into 0
19.953 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
19.954 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.954 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
19.955 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
19.955 * [taylor]: Taking taylor expansion of 0 in k
19.955 * [backup-simplify]: Simplify 0 into 0
19.955 * [backup-simplify]: Simplify 0 into 0
19.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
19.956 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
19.957 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
19.958 * [backup-simplify]: Simplify (+ 0 0) into 0
19.958 * [backup-simplify]: Simplify (- 1) into -1
19.958 * [backup-simplify]: Simplify (+ 0 -1) into -1
19.959 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
19.960 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
19.962 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
19.964 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
19.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
19.966 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
19.967 * [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
19.968 * [backup-simplify]: Simplify (- 0) into 0
19.968 * [backup-simplify]: Simplify (+ 0 0) into 0
19.969 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
19.969 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
19.970 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.972 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
19.972 * [taylor]: Taking taylor expansion of 0 in k
19.972 * [backup-simplify]: Simplify 0 into 0
19.972 * [backup-simplify]: Simplify 0 into 0
19.972 * [backup-simplify]: Simplify 0 into 0
19.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
19.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
19.975 * [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
19.976 * [backup-simplify]: Simplify (+ 0 0) into 0
19.976 * [backup-simplify]: Simplify (- 0) into 0
19.976 * [backup-simplify]: Simplify (+ 0 0) into 0
19.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.979 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
19.983 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
19.988 * [backup-simplify]: Simplify (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))))
19.997 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
19.998 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k))))
19.998 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in (n k) around 0
19.998 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
19.998 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
19.998 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
19.998 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
19.998 * [taylor]: Taking taylor expansion of 1/8 in k
19.998 * [backup-simplify]: Simplify 1/8 into 1/8
19.998 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
19.998 * [taylor]: Taking taylor expansion of 1 in k
19.998 * [backup-simplify]: Simplify 1 into 1
19.998 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.998 * [taylor]: Taking taylor expansion of k in k
19.998 * [backup-simplify]: Simplify 0 into 0
19.998 * [backup-simplify]: Simplify 1 into 1
19.999 * [backup-simplify]: Simplify (/ 1 1) into 1
19.999 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
19.999 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
19.999 * [taylor]: Taking taylor expansion of 2 in k
19.999 * [backup-simplify]: Simplify 2 into 2
19.999 * [taylor]: Taking taylor expansion of (/ PI n) in k
19.999 * [taylor]: Taking taylor expansion of PI in k
19.999 * [backup-simplify]: Simplify PI into PI
19.999 * [taylor]: Taking taylor expansion of n in k
19.999 * [backup-simplify]: Simplify n into n
19.999 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
19.999 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
19.999 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
19.999 * [backup-simplify]: Simplify (- 1) into -1
20.000 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.000 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
20.000 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
20.000 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
20.000 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.000 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.000 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.000 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.000 * [taylor]: Taking taylor expansion of 1/8 in n
20.000 * [backup-simplify]: Simplify 1/8 into 1/8
20.000 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.000 * [taylor]: Taking taylor expansion of 1 in n
20.000 * [backup-simplify]: Simplify 1 into 1
20.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.000 * [taylor]: Taking taylor expansion of k in n
20.000 * [backup-simplify]: Simplify k into k
20.000 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.000 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.000 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.000 * [taylor]: Taking taylor expansion of 2 in n
20.000 * [backup-simplify]: Simplify 2 into 2
20.000 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.000 * [taylor]: Taking taylor expansion of PI in n
20.000 * [backup-simplify]: Simplify PI into PI
20.000 * [taylor]: Taking taylor expansion of n in n
20.000 * [backup-simplify]: Simplify 0 into 0
20.000 * [backup-simplify]: Simplify 1 into 1
20.001 * [backup-simplify]: Simplify (/ PI 1) into PI
20.001 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.002 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.002 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.002 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.002 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.003 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.003 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.004 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.004 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.004 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.004 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.004 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.004 * [taylor]: Taking taylor expansion of 1/8 in n
20.004 * [backup-simplify]: Simplify 1/8 into 1/8
20.004 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.004 * [taylor]: Taking taylor expansion of 1 in n
20.004 * [backup-simplify]: Simplify 1 into 1
20.004 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.004 * [taylor]: Taking taylor expansion of k in n
20.004 * [backup-simplify]: Simplify k into k
20.004 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.004 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.004 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.004 * [taylor]: Taking taylor expansion of 2 in n
20.004 * [backup-simplify]: Simplify 2 into 2
20.004 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.004 * [taylor]: Taking taylor expansion of PI in n
20.004 * [backup-simplify]: Simplify PI into PI
20.004 * [taylor]: Taking taylor expansion of n in n
20.004 * [backup-simplify]: Simplify 0 into 0
20.004 * [backup-simplify]: Simplify 1 into 1
20.005 * [backup-simplify]: Simplify (/ PI 1) into PI
20.005 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.006 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.006 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.006 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.006 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.007 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.008 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.008 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.008 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
20.008 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
20.008 * [taylor]: Taking taylor expansion of 1/8 in k
20.008 * [backup-simplify]: Simplify 1/8 into 1/8
20.008 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
20.008 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
20.008 * [taylor]: Taking taylor expansion of 1 in k
20.008 * [backup-simplify]: Simplify 1 into 1
20.008 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.008 * [taylor]: Taking taylor expansion of k in k
20.008 * [backup-simplify]: Simplify 0 into 0
20.008 * [backup-simplify]: Simplify 1 into 1
20.009 * [backup-simplify]: Simplify (/ 1 1) into 1
20.009 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
20.009 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.009 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.009 * [taylor]: Taking taylor expansion of 2 in k
20.009 * [backup-simplify]: Simplify 2 into 2
20.009 * [taylor]: Taking taylor expansion of PI in k
20.009 * [backup-simplify]: Simplify PI into PI
20.009 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.010 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.010 * [taylor]: Taking taylor expansion of (log n) in k
20.010 * [taylor]: Taking taylor expansion of n in k
20.010 * [backup-simplify]: Simplify n into n
20.010 * [backup-simplify]: Simplify (log n) into (log n)
20.010 * [backup-simplify]: Simplify (- 1) into -1
20.010 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.010 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.011 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
20.012 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
20.013 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
20.013 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.014 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.015 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.016 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.016 * [backup-simplify]: Simplify (- 0) into 0
20.017 * [backup-simplify]: Simplify (+ 0 0) into 0
20.017 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
20.018 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.019 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.020 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.020 * [taylor]: Taking taylor expansion of 0 in k
20.020 * [backup-simplify]: Simplify 0 into 0
20.020 * [backup-simplify]: Simplify 0 into 0
20.020 * [backup-simplify]: Simplify 0 into 0
20.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.027 * [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
20.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.027 * [backup-simplify]: Simplify (- 0) into 0
20.028 * [backup-simplify]: Simplify (+ 0 0) into 0
20.028 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
20.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.030 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
20.032 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.032 * [taylor]: Taking taylor expansion of 0 in k
20.032 * [backup-simplify]: Simplify 0 into 0
20.032 * [backup-simplify]: Simplify 0 into 0
20.033 * [backup-simplify]: Simplify 0 into 0
20.033 * [backup-simplify]: Simplify 0 into 0
20.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.034 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.038 * [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
20.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.038 * [backup-simplify]: Simplify (- 0) into 0
20.038 * [backup-simplify]: Simplify (+ 0 0) into 0
20.039 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
20.040 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.041 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
20.043 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.043 * [taylor]: Taking taylor expansion of 0 in k
20.043 * [backup-simplify]: Simplify 0 into 0
20.043 * [backup-simplify]: Simplify 0 into 0
20.043 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
20.044 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1)))
20.044 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in (n k) around 0
20.044 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
20.044 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
20.044 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
20.044 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
20.044 * [taylor]: Taking taylor expansion of 1/8 in k
20.044 * [backup-simplify]: Simplify 1/8 into 1/8
20.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.044 * [taylor]: Taking taylor expansion of k in k
20.044 * [backup-simplify]: Simplify 0 into 0
20.044 * [backup-simplify]: Simplify 1 into 1
20.044 * [backup-simplify]: Simplify (/ 1 1) into 1
20.044 * [taylor]: Taking taylor expansion of 1 in k
20.044 * [backup-simplify]: Simplify 1 into 1
20.044 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.044 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.044 * [taylor]: Taking taylor expansion of -2 in k
20.044 * [backup-simplify]: Simplify -2 into -2
20.044 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.044 * [taylor]: Taking taylor expansion of PI in k
20.044 * [backup-simplify]: Simplify PI into PI
20.044 * [taylor]: Taking taylor expansion of n in k
20.044 * [backup-simplify]: Simplify n into n
20.044 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.045 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.045 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.045 * [backup-simplify]: Simplify (+ 1 0) into 1
20.045 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
20.045 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
20.045 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
20.045 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.045 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.045 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.045 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.045 * [taylor]: Taking taylor expansion of 1/8 in n
20.045 * [backup-simplify]: Simplify 1/8 into 1/8
20.045 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.045 * [taylor]: Taking taylor expansion of k in n
20.046 * [backup-simplify]: Simplify k into k
20.046 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.046 * [taylor]: Taking taylor expansion of 1 in n
20.046 * [backup-simplify]: Simplify 1 into 1
20.046 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.046 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.046 * [taylor]: Taking taylor expansion of -2 in n
20.046 * [backup-simplify]: Simplify -2 into -2
20.046 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.046 * [taylor]: Taking taylor expansion of PI in n
20.046 * [backup-simplify]: Simplify PI into PI
20.046 * [taylor]: Taking taylor expansion of n in n
20.046 * [backup-simplify]: Simplify 0 into 0
20.046 * [backup-simplify]: Simplify 1 into 1
20.046 * [backup-simplify]: Simplify (/ PI 1) into PI
20.046 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.047 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.047 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.047 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.048 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.049 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.049 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.049 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.049 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.049 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.049 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.049 * [taylor]: Taking taylor expansion of 1/8 in n
20.049 * [backup-simplify]: Simplify 1/8 into 1/8
20.049 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.049 * [taylor]: Taking taylor expansion of k in n
20.049 * [backup-simplify]: Simplify k into k
20.050 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.050 * [taylor]: Taking taylor expansion of 1 in n
20.050 * [backup-simplify]: Simplify 1 into 1
20.050 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.050 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.050 * [taylor]: Taking taylor expansion of -2 in n
20.050 * [backup-simplify]: Simplify -2 into -2
20.050 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.050 * [taylor]: Taking taylor expansion of PI in n
20.050 * [backup-simplify]: Simplify PI into PI
20.050 * [taylor]: Taking taylor expansion of n in n
20.050 * [backup-simplify]: Simplify 0 into 0
20.050 * [backup-simplify]: Simplify 1 into 1
20.050 * [backup-simplify]: Simplify (/ PI 1) into PI
20.050 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.051 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.051 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.051 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.052 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.053 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.054 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.054 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
20.054 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
20.054 * [taylor]: Taking taylor expansion of 1/8 in k
20.054 * [backup-simplify]: Simplify 1/8 into 1/8
20.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
20.054 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.054 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.054 * [taylor]: Taking taylor expansion of k in k
20.054 * [backup-simplify]: Simplify 0 into 0
20.054 * [backup-simplify]: Simplify 1 into 1
20.054 * [backup-simplify]: Simplify (/ 1 1) into 1
20.054 * [taylor]: Taking taylor expansion of 1 in k
20.054 * [backup-simplify]: Simplify 1 into 1
20.054 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
20.054 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
20.054 * [taylor]: Taking taylor expansion of (* -2 PI) in k
20.054 * [taylor]: Taking taylor expansion of -2 in k
20.054 * [backup-simplify]: Simplify -2 into -2
20.054 * [taylor]: Taking taylor expansion of PI in k
20.054 * [backup-simplify]: Simplify PI into PI
20.055 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.055 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.055 * [taylor]: Taking taylor expansion of (log n) in k
20.055 * [taylor]: Taking taylor expansion of n in k
20.055 * [backup-simplify]: Simplify n into n
20.055 * [backup-simplify]: Simplify (log n) into (log n)
20.055 * [backup-simplify]: Simplify (+ 1 0) into 1
20.056 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.056 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
20.057 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
20.057 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
20.058 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.059 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.061 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.063 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
20.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.064 * [backup-simplify]: Simplify (+ 0 0) into 0
20.064 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
20.066 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.067 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
20.069 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.069 * [taylor]: Taking taylor expansion of 0 in k
20.069 * [backup-simplify]: Simplify 0 into 0
20.069 * [backup-simplify]: Simplify 0 into 0
20.069 * [backup-simplify]: Simplify 0 into 0
20.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.072 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
20.075 * [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
20.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.076 * [backup-simplify]: Simplify (+ 0 0) into 0
20.077 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
20.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.079 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
20.081 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.081 * [taylor]: Taking taylor expansion of 0 in k
20.081 * [backup-simplify]: Simplify 0 into 0
20.081 * [backup-simplify]: Simplify 0 into 0
20.081 * [backup-simplify]: Simplify 0 into 0
20.081 * [backup-simplify]: Simplify 0 into 0
20.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.082 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.085 * [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
20.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.086 * [backup-simplify]: Simplify (+ 0 0) into 0
20.086 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
20.087 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.088 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
20.090 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.090 * [taylor]: Taking taylor expansion of 0 in k
20.090 * [backup-simplify]: Simplify 0 into 0
20.090 * [backup-simplify]: Simplify 0 into 0
20.091 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
20.091 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
20.091 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) into (pow (* 2 (* n PI)) (* 1/8 (- 1 k)))
20.091 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in (n k) around 0
20.091 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
20.091 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
20.091 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
20.091 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
20.091 * [taylor]: Taking taylor expansion of 1/8 in k
20.091 * [backup-simplify]: Simplify 1/8 into 1/8
20.091 * [taylor]: Taking taylor expansion of (- 1 k) in k
20.091 * [taylor]: Taking taylor expansion of 1 in k
20.091 * [backup-simplify]: Simplify 1 into 1
20.092 * [taylor]: Taking taylor expansion of k in k
20.092 * [backup-simplify]: Simplify 0 into 0
20.092 * [backup-simplify]: Simplify 1 into 1
20.092 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.092 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.092 * [taylor]: Taking taylor expansion of 2 in k
20.092 * [backup-simplify]: Simplify 2 into 2
20.092 * [taylor]: Taking taylor expansion of (* n PI) in k
20.092 * [taylor]: Taking taylor expansion of n in k
20.092 * [backup-simplify]: Simplify n into n
20.092 * [taylor]: Taking taylor expansion of PI in k
20.092 * [backup-simplify]: Simplify PI into PI
20.092 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.092 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.092 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.092 * [backup-simplify]: Simplify (- 0) into 0
20.092 * [backup-simplify]: Simplify (+ 1 0) into 1
20.093 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
20.093 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
20.093 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
20.093 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
20.093 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
20.093 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
20.093 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
20.093 * [taylor]: Taking taylor expansion of 1/8 in n
20.093 * [backup-simplify]: Simplify 1/8 into 1/8
20.093 * [taylor]: Taking taylor expansion of (- 1 k) in n
20.093 * [taylor]: Taking taylor expansion of 1 in n
20.093 * [backup-simplify]: Simplify 1 into 1
20.093 * [taylor]: Taking taylor expansion of k in n
20.093 * [backup-simplify]: Simplify k into k
20.093 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.093 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.093 * [taylor]: Taking taylor expansion of 2 in n
20.093 * [backup-simplify]: Simplify 2 into 2
20.093 * [taylor]: Taking taylor expansion of (* n PI) in n
20.093 * [taylor]: Taking taylor expansion of n in n
20.093 * [backup-simplify]: Simplify 0 into 0
20.093 * [backup-simplify]: Simplify 1 into 1
20.093 * [taylor]: Taking taylor expansion of PI in n
20.093 * [backup-simplify]: Simplify PI into PI
20.093 * [backup-simplify]: Simplify (* 0 PI) into 0
20.094 * [backup-simplify]: Simplify (* 2 0) into 0
20.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.095 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.096 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.096 * [backup-simplify]: Simplify (- k) into (- k)
20.096 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
20.096 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
20.097 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.098 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
20.098 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
20.098 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
20.098 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
20.098 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
20.098 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
20.098 * [taylor]: Taking taylor expansion of 1/8 in n
20.098 * [backup-simplify]: Simplify 1/8 into 1/8
20.099 * [taylor]: Taking taylor expansion of (- 1 k) in n
20.099 * [taylor]: Taking taylor expansion of 1 in n
20.099 * [backup-simplify]: Simplify 1 into 1
20.099 * [taylor]: Taking taylor expansion of k in n
20.099 * [backup-simplify]: Simplify k into k
20.099 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.099 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.099 * [taylor]: Taking taylor expansion of 2 in n
20.099 * [backup-simplify]: Simplify 2 into 2
20.099 * [taylor]: Taking taylor expansion of (* n PI) in n
20.099 * [taylor]: Taking taylor expansion of n in n
20.099 * [backup-simplify]: Simplify 0 into 0
20.099 * [backup-simplify]: Simplify 1 into 1
20.099 * [taylor]: Taking taylor expansion of PI in n
20.099 * [backup-simplify]: Simplify PI into PI
20.099 * [backup-simplify]: Simplify (* 0 PI) into 0
20.099 * [backup-simplify]: Simplify (* 2 0) into 0
20.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.101 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.102 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.102 * [backup-simplify]: Simplify (- k) into (- k)
20.102 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
20.102 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
20.103 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.103 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
20.104 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
20.104 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
20.104 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
20.104 * [taylor]: Taking taylor expansion of 1/8 in k
20.104 * [backup-simplify]: Simplify 1/8 into 1/8
20.104 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
20.104 * [taylor]: Taking taylor expansion of (- 1 k) in k
20.104 * [taylor]: Taking taylor expansion of 1 in k
20.104 * [backup-simplify]: Simplify 1 into 1
20.104 * [taylor]: Taking taylor expansion of k in k
20.104 * [backup-simplify]: Simplify 0 into 0
20.104 * [backup-simplify]: Simplify 1 into 1
20.104 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
20.104 * [taylor]: Taking taylor expansion of (log n) in k
20.104 * [taylor]: Taking taylor expansion of n in k
20.104 * [backup-simplify]: Simplify n into n
20.104 * [backup-simplify]: Simplify (log n) into (log n)
20.104 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.104 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.104 * [taylor]: Taking taylor expansion of 2 in k
20.104 * [backup-simplify]: Simplify 2 into 2
20.104 * [taylor]: Taking taylor expansion of PI in k
20.104 * [backup-simplify]: Simplify PI into PI
20.105 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.105 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.106 * [backup-simplify]: Simplify (- 0) into 0
20.106 * [backup-simplify]: Simplify (+ 1 0) into 1
20.106 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.107 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
20.108 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
20.108 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
20.109 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
20.110 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.110 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.112 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.113 * [backup-simplify]: Simplify (- 0) into 0
20.113 * [backup-simplify]: Simplify (+ 0 0) into 0
20.114 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
20.115 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.116 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
20.118 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.118 * [taylor]: Taking taylor expansion of 0 in k
20.118 * [backup-simplify]: Simplify 0 into 0
20.118 * [backup-simplify]: Simplify 0 into 0
20.119 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.119 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.122 * [backup-simplify]: Simplify (+ 0 0) into 0
20.122 * [backup-simplify]: Simplify (- 1) into -1
20.122 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.124 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
20.131 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
20.135 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
20.138 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
20.139 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.140 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.143 * [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
20.144 * [backup-simplify]: Simplify (- 0) into 0
20.144 * [backup-simplify]: Simplify (+ 0 0) into 0
20.145 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
20.146 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.148 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.150 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.150 * [taylor]: Taking taylor expansion of 0 in k
20.150 * [backup-simplify]: Simplify 0 into 0
20.150 * [backup-simplify]: Simplify 0 into 0
20.150 * [backup-simplify]: Simplify 0 into 0
20.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.153 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.157 * [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
20.157 * [backup-simplify]: Simplify (+ 0 0) into 0
20.158 * [backup-simplify]: Simplify (- 0) into 0
20.158 * [backup-simplify]: Simplify (+ 0 0) into 0
20.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.163 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.167 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
20.172 * [backup-simplify]: Simplify (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))))
20.182 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
20.183 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k))))
20.183 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in (n k) around 0
20.183 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
20.183 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.183 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.183 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
20.183 * [taylor]: Taking taylor expansion of 1/8 in k
20.183 * [backup-simplify]: Simplify 1/8 into 1/8
20.183 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
20.183 * [taylor]: Taking taylor expansion of 1 in k
20.183 * [backup-simplify]: Simplify 1 into 1
20.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.183 * [taylor]: Taking taylor expansion of k in k
20.183 * [backup-simplify]: Simplify 0 into 0
20.183 * [backup-simplify]: Simplify 1 into 1
20.184 * [backup-simplify]: Simplify (/ 1 1) into 1
20.184 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.184 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.184 * [taylor]: Taking taylor expansion of 2 in k
20.184 * [backup-simplify]: Simplify 2 into 2
20.184 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.184 * [taylor]: Taking taylor expansion of PI in k
20.184 * [backup-simplify]: Simplify PI into PI
20.184 * [taylor]: Taking taylor expansion of n in k
20.184 * [backup-simplify]: Simplify n into n
20.184 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.184 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.184 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.184 * [backup-simplify]: Simplify (- 1) into -1
20.185 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.185 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
20.185 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
20.186 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
20.186 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.186 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.186 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.186 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.186 * [taylor]: Taking taylor expansion of 1/8 in n
20.186 * [backup-simplify]: Simplify 1/8 into 1/8
20.186 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.186 * [taylor]: Taking taylor expansion of 1 in n
20.186 * [backup-simplify]: Simplify 1 into 1
20.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.186 * [taylor]: Taking taylor expansion of k in n
20.186 * [backup-simplify]: Simplify k into k
20.186 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.186 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.186 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.186 * [taylor]: Taking taylor expansion of 2 in n
20.186 * [backup-simplify]: Simplify 2 into 2
20.186 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.186 * [taylor]: Taking taylor expansion of PI in n
20.186 * [backup-simplify]: Simplify PI into PI
20.186 * [taylor]: Taking taylor expansion of n in n
20.186 * [backup-simplify]: Simplify 0 into 0
20.186 * [backup-simplify]: Simplify 1 into 1
20.187 * [backup-simplify]: Simplify (/ PI 1) into PI
20.187 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.188 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.188 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.188 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.189 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.190 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.191 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.192 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.192 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.192 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.192 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.192 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.192 * [taylor]: Taking taylor expansion of 1/8 in n
20.192 * [backup-simplify]: Simplify 1/8 into 1/8
20.192 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.192 * [taylor]: Taking taylor expansion of 1 in n
20.192 * [backup-simplify]: Simplify 1 into 1
20.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.192 * [taylor]: Taking taylor expansion of k in n
20.193 * [backup-simplify]: Simplify k into k
20.193 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.193 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.193 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.193 * [taylor]: Taking taylor expansion of 2 in n
20.193 * [backup-simplify]: Simplify 2 into 2
20.193 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.193 * [taylor]: Taking taylor expansion of PI in n
20.193 * [backup-simplify]: Simplify PI into PI
20.193 * [taylor]: Taking taylor expansion of n in n
20.193 * [backup-simplify]: Simplify 0 into 0
20.193 * [backup-simplify]: Simplify 1 into 1
20.193 * [backup-simplify]: Simplify (/ PI 1) into PI
20.194 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.195 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.195 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.195 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.195 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.196 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.197 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.199 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.199 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
20.199 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
20.199 * [taylor]: Taking taylor expansion of 1/8 in k
20.199 * [backup-simplify]: Simplify 1/8 into 1/8
20.199 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
20.199 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
20.199 * [taylor]: Taking taylor expansion of 1 in k
20.199 * [backup-simplify]: Simplify 1 into 1
20.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.199 * [taylor]: Taking taylor expansion of k in k
20.199 * [backup-simplify]: Simplify 0 into 0
20.199 * [backup-simplify]: Simplify 1 into 1
20.199 * [backup-simplify]: Simplify (/ 1 1) into 1
20.199 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
20.199 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.200 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.200 * [taylor]: Taking taylor expansion of 2 in k
20.200 * [backup-simplify]: Simplify 2 into 2
20.200 * [taylor]: Taking taylor expansion of PI in k
20.200 * [backup-simplify]: Simplify PI into PI
20.200 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.201 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.201 * [taylor]: Taking taylor expansion of (log n) in k
20.201 * [taylor]: Taking taylor expansion of n in k
20.201 * [backup-simplify]: Simplify n into n
20.201 * [backup-simplify]: Simplify (log n) into (log n)
20.202 * [backup-simplify]: Simplify (- 1) into -1
20.202 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.202 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.203 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
20.204 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
20.205 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
20.206 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.207 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.211 * [backup-simplify]: Simplify (- 0) into 0
20.212 * [backup-simplify]: Simplify (+ 0 0) into 0
20.212 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
20.214 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.215 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.217 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.217 * [taylor]: Taking taylor expansion of 0 in k
20.217 * [backup-simplify]: Simplify 0 into 0
20.217 * [backup-simplify]: Simplify 0 into 0
20.217 * [backup-simplify]: Simplify 0 into 0
20.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.224 * [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
20.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.224 * [backup-simplify]: Simplify (- 0) into 0
20.225 * [backup-simplify]: Simplify (+ 0 0) into 0
20.226 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
20.227 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.229 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
20.231 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.231 * [taylor]: Taking taylor expansion of 0 in k
20.231 * [backup-simplify]: Simplify 0 into 0
20.231 * [backup-simplify]: Simplify 0 into 0
20.231 * [backup-simplify]: Simplify 0 into 0
20.231 * [backup-simplify]: Simplify 0 into 0
20.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.239 * [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
20.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.240 * [backup-simplify]: Simplify (- 0) into 0
20.241 * [backup-simplify]: Simplify (+ 0 0) into 0
20.242 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
20.243 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.245 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
20.248 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.248 * [taylor]: Taking taylor expansion of 0 in k
20.248 * [backup-simplify]: Simplify 0 into 0
20.248 * [backup-simplify]: Simplify 0 into 0
20.249 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
20.250 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1)))
20.250 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in (n k) around 0
20.250 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
20.250 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
20.250 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
20.250 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
20.250 * [taylor]: Taking taylor expansion of 1/8 in k
20.250 * [backup-simplify]: Simplify 1/8 into 1/8
20.250 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.250 * [taylor]: Taking taylor expansion of k in k
20.250 * [backup-simplify]: Simplify 0 into 0
20.251 * [backup-simplify]: Simplify 1 into 1
20.251 * [backup-simplify]: Simplify (/ 1 1) into 1
20.251 * [taylor]: Taking taylor expansion of 1 in k
20.251 * [backup-simplify]: Simplify 1 into 1
20.251 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.251 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.251 * [taylor]: Taking taylor expansion of -2 in k
20.251 * [backup-simplify]: Simplify -2 into -2
20.251 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.251 * [taylor]: Taking taylor expansion of PI in k
20.251 * [backup-simplify]: Simplify PI into PI
20.251 * [taylor]: Taking taylor expansion of n in k
20.251 * [backup-simplify]: Simplify n into n
20.251 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.251 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.251 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.252 * [backup-simplify]: Simplify (+ 1 0) into 1
20.252 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
20.252 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
20.253 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
20.253 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.253 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.253 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.253 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.253 * [taylor]: Taking taylor expansion of 1/8 in n
20.253 * [backup-simplify]: Simplify 1/8 into 1/8
20.253 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.253 * [taylor]: Taking taylor expansion of k in n
20.253 * [backup-simplify]: Simplify k into k
20.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.253 * [taylor]: Taking taylor expansion of 1 in n
20.253 * [backup-simplify]: Simplify 1 into 1
20.253 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.253 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.253 * [taylor]: Taking taylor expansion of -2 in n
20.253 * [backup-simplify]: Simplify -2 into -2
20.253 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.253 * [taylor]: Taking taylor expansion of PI in n
20.253 * [backup-simplify]: Simplify PI into PI
20.253 * [taylor]: Taking taylor expansion of n in n
20.253 * [backup-simplify]: Simplify 0 into 0
20.253 * [backup-simplify]: Simplify 1 into 1
20.254 * [backup-simplify]: Simplify (/ PI 1) into PI
20.254 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.255 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.255 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.255 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.257 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.258 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.259 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.259 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.259 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.259 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.259 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.259 * [taylor]: Taking taylor expansion of 1/8 in n
20.259 * [backup-simplify]: Simplify 1/8 into 1/8
20.259 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.259 * [taylor]: Taking taylor expansion of k in n
20.260 * [backup-simplify]: Simplify k into k
20.260 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.260 * [taylor]: Taking taylor expansion of 1 in n
20.260 * [backup-simplify]: Simplify 1 into 1
20.260 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.260 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.260 * [taylor]: Taking taylor expansion of -2 in n
20.260 * [backup-simplify]: Simplify -2 into -2
20.260 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.260 * [taylor]: Taking taylor expansion of PI in n
20.260 * [backup-simplify]: Simplify PI into PI
20.260 * [taylor]: Taking taylor expansion of n in n
20.260 * [backup-simplify]: Simplify 0 into 0
20.260 * [backup-simplify]: Simplify 1 into 1
20.260 * [backup-simplify]: Simplify (/ PI 1) into PI
20.261 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.262 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.262 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.262 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.263 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.265 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.266 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.266 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
20.266 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
20.266 * [taylor]: Taking taylor expansion of 1/8 in k
20.266 * [backup-simplify]: Simplify 1/8 into 1/8
20.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
20.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.266 * [taylor]: Taking taylor expansion of k in k
20.266 * [backup-simplify]: Simplify 0 into 0
20.266 * [backup-simplify]: Simplify 1 into 1
20.266 * [backup-simplify]: Simplify (/ 1 1) into 1
20.266 * [taylor]: Taking taylor expansion of 1 in k
20.267 * [backup-simplify]: Simplify 1 into 1
20.267 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
20.267 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
20.267 * [taylor]: Taking taylor expansion of (* -2 PI) in k
20.267 * [taylor]: Taking taylor expansion of -2 in k
20.267 * [backup-simplify]: Simplify -2 into -2
20.267 * [taylor]: Taking taylor expansion of PI in k
20.267 * [backup-simplify]: Simplify PI into PI
20.267 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.268 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.268 * [taylor]: Taking taylor expansion of (log n) in k
20.268 * [taylor]: Taking taylor expansion of n in k
20.268 * [backup-simplify]: Simplify n into n
20.268 * [backup-simplify]: Simplify (log n) into (log n)
20.269 * [backup-simplify]: Simplify (+ 1 0) into 1
20.269 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.270 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
20.271 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
20.272 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
20.273 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.274 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.281 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
20.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.282 * [backup-simplify]: Simplify (+ 0 0) into 0
20.283 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
20.284 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.284 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
20.285 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.285 * [taylor]: Taking taylor expansion of 0 in k
20.285 * [backup-simplify]: Simplify 0 into 0
20.285 * [backup-simplify]: Simplify 0 into 0
20.286 * [backup-simplify]: Simplify 0 into 0
20.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.287 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
20.289 * [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
20.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.289 * [backup-simplify]: Simplify (+ 0 0) into 0
20.290 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
20.291 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.292 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
20.293 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.293 * [taylor]: Taking taylor expansion of 0 in k
20.293 * [backup-simplify]: Simplify 0 into 0
20.293 * [backup-simplify]: Simplify 0 into 0
20.293 * [backup-simplify]: Simplify 0 into 0
20.293 * [backup-simplify]: Simplify 0 into 0
20.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.295 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.298 * [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
20.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.299 * [backup-simplify]: Simplify (+ 0 0) into 0
20.300 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
20.301 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.302 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
20.304 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.304 * [taylor]: Taking taylor expansion of 0 in k
20.304 * [backup-simplify]: Simplify 0 into 0
20.304 * [backup-simplify]: Simplify 0 into 0
20.305 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
20.305 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
20.306 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2)
20.306 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in (n k) around 0
20.306 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in k
20.306 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
20.306 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
20.306 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
20.306 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
20.306 * [taylor]: Taking taylor expansion of 1/8 in k
20.306 * [backup-simplify]: Simplify 1/8 into 1/8
20.306 * [taylor]: Taking taylor expansion of (- 1 k) in k
20.306 * [taylor]: Taking taylor expansion of 1 in k
20.306 * [backup-simplify]: Simplify 1 into 1
20.306 * [taylor]: Taking taylor expansion of k in k
20.306 * [backup-simplify]: Simplify 0 into 0
20.306 * [backup-simplify]: Simplify 1 into 1
20.306 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
20.306 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
20.306 * [taylor]: Taking taylor expansion of 2 in k
20.306 * [backup-simplify]: Simplify 2 into 2
20.306 * [taylor]: Taking taylor expansion of (* n PI) in k
20.306 * [taylor]: Taking taylor expansion of n in k
20.306 * [backup-simplify]: Simplify n into n
20.306 * [taylor]: Taking taylor expansion of PI in k
20.306 * [backup-simplify]: Simplify PI into PI
20.306 * [backup-simplify]: Simplify (* n PI) into (* n PI)
20.307 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
20.307 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
20.307 * [backup-simplify]: Simplify (- 0) into 0
20.307 * [backup-simplify]: Simplify (+ 1 0) into 1
20.308 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
20.308 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
20.308 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
20.308 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in n
20.308 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
20.308 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
20.308 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
20.308 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
20.308 * [taylor]: Taking taylor expansion of 1/8 in n
20.308 * [backup-simplify]: Simplify 1/8 into 1/8
20.308 * [taylor]: Taking taylor expansion of (- 1 k) in n
20.308 * [taylor]: Taking taylor expansion of 1 in n
20.308 * [backup-simplify]: Simplify 1 into 1
20.308 * [taylor]: Taking taylor expansion of k in n
20.308 * [backup-simplify]: Simplify k into k
20.308 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.308 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.308 * [taylor]: Taking taylor expansion of 2 in n
20.308 * [backup-simplify]: Simplify 2 into 2
20.308 * [taylor]: Taking taylor expansion of (* n PI) in n
20.308 * [taylor]: Taking taylor expansion of n in n
20.308 * [backup-simplify]: Simplify 0 into 0
20.308 * [backup-simplify]: Simplify 1 into 1
20.308 * [taylor]: Taking taylor expansion of PI in n
20.308 * [backup-simplify]: Simplify PI into PI
20.309 * [backup-simplify]: Simplify (* 0 PI) into 0
20.309 * [backup-simplify]: Simplify (* 2 0) into 0
20.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.311 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.311 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.311 * [backup-simplify]: Simplify (- k) into (- k)
20.311 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
20.312 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
20.312 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.313 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
20.314 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
20.314 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in n
20.314 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
20.314 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
20.314 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
20.314 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
20.314 * [taylor]: Taking taylor expansion of 1/8 in n
20.314 * [backup-simplify]: Simplify 1/8 into 1/8
20.314 * [taylor]: Taking taylor expansion of (- 1 k) in n
20.314 * [taylor]: Taking taylor expansion of 1 in n
20.314 * [backup-simplify]: Simplify 1 into 1
20.314 * [taylor]: Taking taylor expansion of k in n
20.314 * [backup-simplify]: Simplify k into k
20.314 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
20.314 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
20.314 * [taylor]: Taking taylor expansion of 2 in n
20.314 * [backup-simplify]: Simplify 2 into 2
20.314 * [taylor]: Taking taylor expansion of (* n PI) in n
20.314 * [taylor]: Taking taylor expansion of n in n
20.314 * [backup-simplify]: Simplify 0 into 0
20.314 * [backup-simplify]: Simplify 1 into 1
20.314 * [taylor]: Taking taylor expansion of PI in n
20.314 * [backup-simplify]: Simplify PI into PI
20.314 * [backup-simplify]: Simplify (* 0 PI) into 0
20.315 * [backup-simplify]: Simplify (* 2 0) into 0
20.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
20.316 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
20.317 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.317 * [backup-simplify]: Simplify (- k) into (- k)
20.317 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
20.317 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
20.318 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.319 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
20.319 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
20.321 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2)
20.321 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k
20.321 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
20.321 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
20.321 * [taylor]: Taking taylor expansion of 1/8 in k
20.321 * [backup-simplify]: Simplify 1/8 into 1/8
20.321 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
20.321 * [taylor]: Taking taylor expansion of (- 1 k) in k
20.321 * [taylor]: Taking taylor expansion of 1 in k
20.321 * [backup-simplify]: Simplify 1 into 1
20.321 * [taylor]: Taking taylor expansion of k in k
20.321 * [backup-simplify]: Simplify 0 into 0
20.321 * [backup-simplify]: Simplify 1 into 1
20.321 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
20.321 * [taylor]: Taking taylor expansion of (log n) in k
20.321 * [taylor]: Taking taylor expansion of n in k
20.321 * [backup-simplify]: Simplify n into n
20.321 * [backup-simplify]: Simplify (log n) into (log n)
20.321 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.321 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.321 * [taylor]: Taking taylor expansion of 2 in k
20.321 * [backup-simplify]: Simplify 2 into 2
20.321 * [taylor]: Taking taylor expansion of PI in k
20.321 * [backup-simplify]: Simplify PI into PI
20.321 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.322 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.322 * [backup-simplify]: Simplify (- 0) into 0
20.323 * [backup-simplify]: Simplify (+ 1 0) into 1
20.324 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.325 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
20.326 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
20.327 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
20.329 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2)
20.330 * [backup-simplify]: Simplify (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2)
20.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
20.332 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
20.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.335 * [backup-simplify]: Simplify (- 0) into 0
20.335 * [backup-simplify]: Simplify (+ 0 0) into 0
20.336 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
20.337 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.338 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
20.339 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.341 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0
20.341 * [taylor]: Taking taylor expansion of 0 in k
20.341 * [backup-simplify]: Simplify 0 into 0
20.341 * [backup-simplify]: Simplify 0 into 0
20.341 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
20.342 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.343 * [backup-simplify]: Simplify (+ 0 0) into 0
20.343 * [backup-simplify]: Simplify (- 1) into -1
20.343 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.344 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
20.346 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
20.347 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
20.352 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n)))))
20.354 * [backup-simplify]: Simplify (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n))))) into (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n)))))
20.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
20.356 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
20.358 * [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
20.358 * [backup-simplify]: Simplify (- 0) into 0
20.358 * [backup-simplify]: Simplify (+ 0 0) into 0
20.359 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
20.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
20.361 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.363 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.364 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0
20.364 * [taylor]: Taking taylor expansion of 0 in k
20.364 * [backup-simplify]: Simplify 0 into 0
20.364 * [backup-simplify]: Simplify 0 into 0
20.365 * [backup-simplify]: Simplify 0 into 0
20.366 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
20.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.370 * [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
20.370 * [backup-simplify]: Simplify (+ 0 0) into 0
20.370 * [backup-simplify]: Simplify (- 0) into 0
20.371 * [backup-simplify]: Simplify (+ 0 0) into 0
20.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.375 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
20.386 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
20.405 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) (* (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2)))))
20.409 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))))) into (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2)))))
20.416 * [backup-simplify]: Simplify (+ (* (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n))))) (* k 1)) (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k)))))
20.417 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2)
20.417 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in (n k) around 0
20.417 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in k
20.417 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
20.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
20.417 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
20.418 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
20.418 * [taylor]: Taking taylor expansion of 1/8 in k
20.418 * [backup-simplify]: Simplify 1/8 into 1/8
20.418 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
20.418 * [taylor]: Taking taylor expansion of 1 in k
20.418 * [backup-simplify]: Simplify 1 into 1
20.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.418 * [taylor]: Taking taylor expansion of k in k
20.418 * [backup-simplify]: Simplify 0 into 0
20.418 * [backup-simplify]: Simplify 1 into 1
20.418 * [backup-simplify]: Simplify (/ 1 1) into 1
20.418 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
20.418 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
20.418 * [taylor]: Taking taylor expansion of 2 in k
20.418 * [backup-simplify]: Simplify 2 into 2
20.418 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.418 * [taylor]: Taking taylor expansion of PI in k
20.418 * [backup-simplify]: Simplify PI into PI
20.418 * [taylor]: Taking taylor expansion of n in k
20.418 * [backup-simplify]: Simplify n into n
20.418 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.418 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
20.418 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
20.418 * [backup-simplify]: Simplify (- 1) into -1
20.419 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.419 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
20.419 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
20.419 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
20.419 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in n
20.419 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.419 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.419 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.419 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.419 * [taylor]: Taking taylor expansion of 1/8 in n
20.419 * [backup-simplify]: Simplify 1/8 into 1/8
20.419 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.419 * [taylor]: Taking taylor expansion of 1 in n
20.419 * [backup-simplify]: Simplify 1 into 1
20.419 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.419 * [taylor]: Taking taylor expansion of k in n
20.419 * [backup-simplify]: Simplify k into k
20.419 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.419 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.419 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.420 * [taylor]: Taking taylor expansion of 2 in n
20.420 * [backup-simplify]: Simplify 2 into 2
20.420 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.420 * [taylor]: Taking taylor expansion of PI in n
20.420 * [backup-simplify]: Simplify PI into PI
20.420 * [taylor]: Taking taylor expansion of n in n
20.420 * [backup-simplify]: Simplify 0 into 0
20.420 * [backup-simplify]: Simplify 1 into 1
20.420 * [backup-simplify]: Simplify (/ PI 1) into PI
20.420 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.421 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.421 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.421 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.421 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.422 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.422 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.423 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.423 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in n
20.423 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
20.423 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
20.423 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
20.423 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
20.423 * [taylor]: Taking taylor expansion of 1/8 in n
20.423 * [backup-simplify]: Simplify 1/8 into 1/8
20.423 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
20.423 * [taylor]: Taking taylor expansion of 1 in n
20.423 * [backup-simplify]: Simplify 1 into 1
20.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.423 * [taylor]: Taking taylor expansion of k in n
20.423 * [backup-simplify]: Simplify k into k
20.423 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.423 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
20.423 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
20.424 * [taylor]: Taking taylor expansion of 2 in n
20.424 * [backup-simplify]: Simplify 2 into 2
20.424 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.424 * [taylor]: Taking taylor expansion of PI in n
20.424 * [backup-simplify]: Simplify PI into PI
20.424 * [taylor]: Taking taylor expansion of n in n
20.424 * [backup-simplify]: Simplify 0 into 0
20.424 * [backup-simplify]: Simplify 1 into 1
20.424 * [backup-simplify]: Simplify (/ PI 1) into PI
20.424 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.425 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.425 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
20.425 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
20.425 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
20.426 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.427 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
20.427 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.429 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
20.429 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k
20.429 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
20.429 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
20.429 * [taylor]: Taking taylor expansion of 1/8 in k
20.429 * [backup-simplify]: Simplify 1/8 into 1/8
20.429 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
20.429 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
20.429 * [taylor]: Taking taylor expansion of 1 in k
20.429 * [backup-simplify]: Simplify 1 into 1
20.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.429 * [taylor]: Taking taylor expansion of k in k
20.429 * [backup-simplify]: Simplify 0 into 0
20.429 * [backup-simplify]: Simplify 1 into 1
20.429 * [backup-simplify]: Simplify (/ 1 1) into 1
20.429 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
20.429 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
20.429 * [taylor]: Taking taylor expansion of (* 2 PI) in k
20.429 * [taylor]: Taking taylor expansion of 2 in k
20.429 * [backup-simplify]: Simplify 2 into 2
20.429 * [taylor]: Taking taylor expansion of PI in k
20.429 * [backup-simplify]: Simplify PI into PI
20.430 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
20.430 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
20.430 * [taylor]: Taking taylor expansion of (log n) in k
20.430 * [taylor]: Taking taylor expansion of n in k
20.430 * [backup-simplify]: Simplify n into n
20.430 * [backup-simplify]: Simplify (log n) into (log n)
20.430 * [backup-simplify]: Simplify (- 1) into -1
20.431 * [backup-simplify]: Simplify (+ 0 -1) into -1
20.431 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.431 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
20.432 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
20.433 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
20.433 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
20.435 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
20.435 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
20.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.436 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
20.437 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
20.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.438 * [backup-simplify]: Simplify (- 0) into 0
20.438 * [backup-simplify]: Simplify (+ 0 0) into 0
20.438 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
20.439 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.440 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
20.441 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.442 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
20.442 * [taylor]: Taking taylor expansion of 0 in k
20.442 * [backup-simplify]: Simplify 0 into 0
20.442 * [backup-simplify]: Simplify 0 into 0
20.444 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
20.444 * [backup-simplify]: Simplify 0 into 0
20.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.445 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
20.447 * [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
20.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.447 * [backup-simplify]: Simplify (- 0) into 0
20.448 * [backup-simplify]: Simplify (+ 0 0) into 0
20.448 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
20.449 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.450 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
20.451 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.453 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
20.453 * [taylor]: Taking taylor expansion of 0 in k
20.453 * [backup-simplify]: Simplify 0 into 0
20.453 * [backup-simplify]: Simplify 0 into 0
20.453 * [backup-simplify]: Simplify 0 into 0
20.455 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
20.455 * [backup-simplify]: Simplify 0 into 0
20.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.456 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.459 * [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
20.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.460 * [backup-simplify]: Simplify (- 0) into 0
20.460 * [backup-simplify]: Simplify (+ 0 0) into 0
20.461 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
20.462 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
20.463 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
20.465 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.467 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
20.467 * [taylor]: Taking taylor expansion of 0 in k
20.467 * [backup-simplify]: Simplify 0 into 0
20.467 * [backup-simplify]: Simplify 0 into 0
20.468 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
20.469 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2)
20.469 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in (n k) around 0
20.469 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in k
20.469 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
20.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
20.470 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
20.470 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
20.470 * [taylor]: Taking taylor expansion of 1/8 in k
20.470 * [backup-simplify]: Simplify 1/8 into 1/8
20.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.470 * [taylor]: Taking taylor expansion of k in k
20.470 * [backup-simplify]: Simplify 0 into 0
20.470 * [backup-simplify]: Simplify 1 into 1
20.470 * [backup-simplify]: Simplify (/ 1 1) into 1
20.470 * [taylor]: Taking taylor expansion of 1 in k
20.470 * [backup-simplify]: Simplify 1 into 1
20.470 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
20.470 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
20.470 * [taylor]: Taking taylor expansion of -2 in k
20.470 * [backup-simplify]: Simplify -2 into -2
20.470 * [taylor]: Taking taylor expansion of (/ PI n) in k
20.470 * [taylor]: Taking taylor expansion of PI in k
20.470 * [backup-simplify]: Simplify PI into PI
20.470 * [taylor]: Taking taylor expansion of n in k
20.470 * [backup-simplify]: Simplify n into n
20.470 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
20.471 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
20.471 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
20.471 * [backup-simplify]: Simplify (+ 1 0) into 1
20.472 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
20.472 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
20.472 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
20.472 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in n
20.472 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.472 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.472 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.472 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.472 * [taylor]: Taking taylor expansion of 1/8 in n
20.472 * [backup-simplify]: Simplify 1/8 into 1/8
20.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.472 * [taylor]: Taking taylor expansion of k in n
20.472 * [backup-simplify]: Simplify k into k
20.472 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.472 * [taylor]: Taking taylor expansion of 1 in n
20.472 * [backup-simplify]: Simplify 1 into 1
20.472 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.472 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.472 * [taylor]: Taking taylor expansion of -2 in n
20.472 * [backup-simplify]: Simplify -2 into -2
20.472 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.472 * [taylor]: Taking taylor expansion of PI in n
20.472 * [backup-simplify]: Simplify PI into PI
20.472 * [taylor]: Taking taylor expansion of n in n
20.473 * [backup-simplify]: Simplify 0 into 0
20.473 * [backup-simplify]: Simplify 1 into 1
20.473 * [backup-simplify]: Simplify (/ PI 1) into PI
20.473 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.474 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.475 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.475 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.477 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.479 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.479 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in n
20.479 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
20.479 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
20.479 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
20.479 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
20.479 * [taylor]: Taking taylor expansion of 1/8 in n
20.479 * [backup-simplify]: Simplify 1/8 into 1/8
20.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
20.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n
20.479 * [taylor]: Taking taylor expansion of k in n
20.479 * [backup-simplify]: Simplify k into k
20.479 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
20.479 * [taylor]: Taking taylor expansion of 1 in n
20.479 * [backup-simplify]: Simplify 1 into 1
20.479 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
20.480 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
20.480 * [taylor]: Taking taylor expansion of -2 in n
20.480 * [backup-simplify]: Simplify -2 into -2
20.480 * [taylor]: Taking taylor expansion of (/ PI n) in n
20.480 * [taylor]: Taking taylor expansion of PI in n
20.480 * [backup-simplify]: Simplify PI into PI
20.480 * [taylor]: Taking taylor expansion of n in n
20.480 * [backup-simplify]: Simplify 0 into 0
20.480 * [backup-simplify]: Simplify 1 into 1
20.481 * [backup-simplify]: Simplify (/ PI 1) into PI
20.481 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.482 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.482 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
20.482 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
20.484 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.490 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
20.491 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.494 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
20.494 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k
20.494 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
20.494 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
20.494 * [taylor]: Taking taylor expansion of 1/8 in k
20.494 * [backup-simplify]: Simplify 1/8 into 1/8
20.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
20.494 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
20.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k
20.494 * [taylor]: Taking taylor expansion of k in k
20.494 * [backup-simplify]: Simplify 0 into 0
20.494 * [backup-simplify]: Simplify 1 into 1
20.495 * [backup-simplify]: Simplify (/ 1 1) into 1
20.495 * [taylor]: Taking taylor expansion of 1 in k
20.495 * [backup-simplify]: Simplify 1 into 1
20.495 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
20.495 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
20.495 * [taylor]: Taking taylor expansion of (* -2 PI) in k
20.495 * [taylor]: Taking taylor expansion of -2 in k
20.495 * [backup-simplify]: Simplify -2 into -2
20.495 * [taylor]: Taking taylor expansion of PI in k
20.495 * [backup-simplify]: Simplify PI into PI
20.496 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
20.497 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
20.497 * [taylor]: Taking taylor expansion of (log n) in k
20.497 * [taylor]: Taking taylor expansion of n in k
20.497 * [backup-simplify]: Simplify n into n
20.497 * [backup-simplify]: Simplify (log n) into (log n)
20.497 * [backup-simplify]: Simplify (+ 1 0) into 1
20.497 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
20.498 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
20.499 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
20.500 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
20.502 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
20.504 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
20.505 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
20.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
20.507 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
20.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
20.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
20.509 * [backup-simplify]: Simplify (+ 0 0) into 0
20.510 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
20.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.512 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
20.514 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.516 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
20.516 * [taylor]: Taking taylor expansion of 0 in k
20.516 * [backup-simplify]: Simplify 0 into 0
20.516 * [backup-simplify]: Simplify 0 into 0
20.519 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
20.519 * [backup-simplify]: Simplify 0 into 0
20.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.521 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
20.524 * [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
20.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.525 * [backup-simplify]: Simplify (+ 0 0) into 0
20.526 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
20.527 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.529 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
20.532 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.534 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
20.534 * [taylor]: Taking taylor expansion of 0 in k
20.534 * [backup-simplify]: Simplify 0 into 0
20.534 * [backup-simplify]: Simplify 0 into 0
20.534 * [backup-simplify]: Simplify 0 into 0
20.537 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
20.537 * [backup-simplify]: Simplify 0 into 0
20.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.539 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
20.546 * [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
20.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
20.547 * [backup-simplify]: Simplify (+ 0 0) into 0
20.549 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
20.550 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
20.553 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
20.556 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.559 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
20.559 * [taylor]: Taking taylor expansion of 0 in k
20.559 * [backup-simplify]: Simplify 0 into 0
20.559 * [backup-simplify]: Simplify 0 into 0
20.560 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
20.560 * * * [progress]: simplifying candidates
20.561 * * * * [progress]: [ 1 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.561 * * * * [progress]: [ 2 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.561 * * * * [progress]: [ 3 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 4 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 5 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 6 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 7 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 8 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 9 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 10 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))))))>
20.561 * * * * [progress]: [ 11 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))))))>
20.561 * * * * [progress]: [ 12 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))>
20.562 * * * * [progress]: [ 13 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))))>
20.562 * * * * [progress]: [ 14 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))))>
20.562 * * * * [progress]: [ 15 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))))>
20.562 * * * * [progress]: [ 16 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))))>
20.562 * * * * [progress]: [ 17 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))))>
20.562 * * * * [progress]: [ 18 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))))>
20.562 * * * * [progress]: [ 19 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
20.562 * * * * [progress]: [ 20 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
20.562 * * * * [progress]: [ 21 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)))))>
20.562 * * * * [progress]: [ 22 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
20.562 * * * * [progress]: [ 23 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
20.563 * * * * [progress]: [ 24 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)))))>
20.563 * * * * [progress]: [ 25 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))))))>
20.563 * * * * [progress]: [ 26 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))))))>
20.563 * * * * [progress]: [ 27 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)))))>
20.563 * * * * [progress]: [ 28 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
20.563 * * * * [progress]: [ 29 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
20.563 * * * * [progress]: [ 30 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)))))>
20.563 * * * * [progress]: [ 31 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
20.563 * * * * [progress]: [ 32 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
20.563 * * * * [progress]: [ 33 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)))))>
20.564 * * * * [progress]: [ 34 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))))))>
20.564 * * * * [progress]: [ 35 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))))))>
20.564 * * * * [progress]: [ 36 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)))))>
20.564 * * * * [progress]: [ 37 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
20.564 * * * * [progress]: [ 38 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
20.564 * * * * [progress]: [ 39 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
20.564 * * * * [progress]: [ 40 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
20.564 * * * * [progress]: [ 41 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
20.564 * * * * [progress]: [ 42 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
20.564 * * * * [progress]: [ 43 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
20.564 * * * * [progress]: [ 44 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
20.564 * * * * [progress]: [ 45 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
20.565 * * * * [progress]: [ 46 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))))))>
20.565 * * * * [progress]: [ 47 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))))))>
20.565 * * * * [progress]: [ 48 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)))))>
20.565 * * * * [progress]: [ 49 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))))))>
20.565 * * * * [progress]: [ 50 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))))))>
20.565 * * * * [progress]: [ 51 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)))))>
20.565 * * * * [progress]: [ 52 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))))))>
20.565 * * * * [progress]: [ 53 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))))))>
20.565 * * * * [progress]: [ 54 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)))))>
20.565 * * * * [progress]: [ 55 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))))))>
20.566 * * * * [progress]: [ 56 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))))))>
20.566 * * * * [progress]: [ 57 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)))))>
20.566 * * * * [progress]: [ 58 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))))))>
20.566 * * * * [progress]: [ 59 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))))))>
20.566 * * * * [progress]: [ 60 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)))))>
20.566 * * * * [progress]: [ 61 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))))))>
20.566 * * * * [progress]: [ 62 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))))))>
20.566 * * * * [progress]: [ 63 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))>
20.566 * * * * [progress]: [ 64 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
20.566 * * * * [progress]: [ 65 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
20.566 * * * * [progress]: [ 66 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
20.567 * * * * [progress]: [ 67 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
20.567 * * * * [progress]: [ 68 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
20.567 * * * * [progress]: [ 69 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
20.567 * * * * [progress]: [ 70 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
20.567 * * * * [progress]: [ 71 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
20.567 * * * * [progress]: [ 72 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
20.567 * * * * [progress]: [ 73 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
20.567 * * * * [progress]: [ 74 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
20.567 * * * * [progress]: [ 75 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)))))>
20.567 * * * * [progress]: [ 76 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))))))>
20.567 * * * * [progress]: [ 77 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))))))>
20.567 * * * * [progress]: [ 78 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)))))>
20.568 * * * * [progress]: [ 79 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
20.568 * * * * [progress]: [ 80 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)))))>
20.568 * * * * [progress]: [ 81 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))))>
20.568 * * * * [progress]: [ 82 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1))))>
20.568 * * * * [progress]: [ 83 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.568 * * * * [progress]: [ 84 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.568 * * * * [progress]: [ 85 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.568 * * * * [progress]: [ 86 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.568 * * * * [progress]: [ 87 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.568 * * * * [progress]: [ 88 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
20.568 * * * * [progress]: [ 89 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
20.568 * * * * [progress]: [ 90 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
20.569 * * * * [progress]: [ 91 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 92 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 93 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 94 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 95 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 96 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 97 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 98 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 99 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 100 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 101 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.569 * * * * [progress]: [ 102 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 103 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 104 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 105 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1)) (/ (cbrt (/ (/ (- 1 k) 2) 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 106 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 107 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 108 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 109 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 110 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 111 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 112 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.570 * * * * [progress]: [ 113 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 114 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 115 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 116 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 117 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 118 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 119 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 120 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 121 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 122 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 123 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 124 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.571 * * * * [progress]: [ 125 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 126 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 127 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 128 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 129 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 130 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 131 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 132 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 133 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 134 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.572 * * * * [progress]: [ 135 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 136 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 137 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 138 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 139 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 140 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 141 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 142 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 143 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 144 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.573 * * * * [progress]: [ 145 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 146 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 147 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 148 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 149 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 150 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 151 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 152 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 153 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 154 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.574 * * * * [progress]: [ 155 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 156 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 157 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 158 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 159 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 160 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 161 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 162 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 163 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 164 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 165 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.575 * * * * [progress]: [ 166 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 167 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 168 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 169 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 170 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 171 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 172 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 173 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 174 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 175 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 176 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.576 * * * * [progress]: [ 177 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 178 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 179 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 180 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 181 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 182 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 183 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 184 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 185 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 186 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.577 * * * * [progress]: [ 187 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 188 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 189 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 190 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 191 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 192 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 193 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 194 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 195 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 196 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 197 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.578 * * * * [progress]: [ 198 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 199 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 200 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 201 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 202 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 203 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 204 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 205 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 206 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 207 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 208 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.579 * * * * [progress]: [ 209 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 210 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 211 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 212 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 213 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 214 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 215 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 216 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 217 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 218 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.580 * * * * [progress]: [ 219 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 220 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 221 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 222 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 223 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 224 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 225 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 226 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 227 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 228 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 229 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.581 * * * * [progress]: [ 230 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 231 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 232 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 233 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 234 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 235 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 236 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 237 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 238 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 239 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.582 * * * * [progress]: [ 240 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 241 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 242 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 243 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 244 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 245 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 246 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 247 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 248 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 249 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.583 * * * * [progress]: [ 250 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 251 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 252 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 253 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 254 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 255 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 256 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 257 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 258 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 259 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 260 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.584 * * * * [progress]: [ 261 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 262 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 263 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 264 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 265 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 266 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 267 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 268 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 269 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 270 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 271 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.585 * * * * [progress]: [ 272 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 273 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 274 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 275 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 276 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 277 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 278 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 279 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 280 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 281 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.586 * * * * [progress]: [ 282 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 283 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 284 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 285 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 286 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 287 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 288 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 289 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 290 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 291 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 292 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 293 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.587 * * * * [progress]: [ 294 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 295 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 296 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 297 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 298 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 299 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ 1 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 300 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ 1 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 301 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 302 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (/ (/ 1 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 303 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) 1)) (/ (/ (/ 1 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 304 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.588 * * * * [progress]: [ 305 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (sqrt 2))) (/ (/ (/ 1 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 306 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) 1)) (/ (/ (/ 1 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 307 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 308 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 309 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 310 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 311 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (/ 1 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 312 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 1)) (/ (/ 1 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 313 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 314 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 315 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 316 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.589 * * * * [progress]: [ 317 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 318 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 319 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 320 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 321 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 322 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* 1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 323 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 324 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 325 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 326 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 327 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.590 * * * * [progress]: [ 328 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 329 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 330 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 331 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 332 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 333 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 334 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 335 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 336 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 337 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 338 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 339 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1)) (/ (cbrt (/ (/ (- 1 k) 2) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.591 * * * * [progress]: [ 340 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 341 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 342 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 343 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 344 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 345 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 346 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 347 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 348 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 349 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 350 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.592 * * * * [progress]: [ 351 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 352 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 353 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 354 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 355 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 356 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 357 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 358 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 359 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 360 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 361 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.593 * * * * [progress]: [ 362 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 363 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 364 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 365 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 366 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 367 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 368 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 369 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 370 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 371 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.594 * * * * [progress]: [ 372 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 373 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 374 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 375 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 376 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 377 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 378 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 379 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 380 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 381 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 382 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.595 * * * * [progress]: [ 383 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 384 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 385 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 386 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 387 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 388 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 389 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 390 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 391 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 392 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.596 * * * * [progress]: [ 393 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 394 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 395 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 396 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 397 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 398 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 399 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 400 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 401 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 402 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 403 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.597 * * * * [progress]: [ 404 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 405 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 406 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 407 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 408 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 409 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 410 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 411 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 412 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 413 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 414 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.598 * * * * [progress]: [ 415 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 416 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 417 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 418 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 419 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 420 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 421 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 422 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 423 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 424 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 425 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.599 * * * * [progress]: [ 426 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 427 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 428 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 429 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 430 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 431 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 432 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 433 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 434 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 435 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 436 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 437 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 438 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.600 * * * * [progress]: [ 439 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 440 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 441 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 442 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 443 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 444 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 445 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 446 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 447 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 448 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 449 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.601 * * * * [progress]: [ 450 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 451 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 452 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 453 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 454 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 455 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 456 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 457 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 458 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 459 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.602 * * * * [progress]: [ 460 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 461 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 462 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 463 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 464 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 465 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 466 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 467 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 468 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 469 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 470 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.603 * * * * [progress]: [ 471 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 472 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 473 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 474 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 475 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 476 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 477 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 478 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 479 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 480 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 481 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.604 * * * * [progress]: [ 482 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 483 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 484 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 485 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 486 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 487 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 488 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.605 * * * * [progress]: [ 489 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 490 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 491 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 492 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 493 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 494 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 495 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 496 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 497 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 498 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 499 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.606 * * * * [progress]: [ 500 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 501 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 502 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 503 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 504 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 505 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 506 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 507 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 508 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 509 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 510 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.607 * * * * [progress]: [ 511 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 512 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 513 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 514 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 515 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 516 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 517 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 518 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 519 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 520 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 521 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 522 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.608 * * * * [progress]: [ 523 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 524 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 525 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 526 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 527 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 528 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 529 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 530 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 531 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 532 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 533 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ 1 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 534 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ 1 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.609 * * * * [progress]: [ 535 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 536 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (/ (/ 1 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 537 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) 1)) (/ (/ (/ 1 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 538 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 539 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (sqrt 2))) (/ (/ (/ 1 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 540 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) 1)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 541 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 542 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 543 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 544 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 545 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 546 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 1)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 547 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.610 * * * * [progress]: [ 548 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 549 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 550 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 551 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 552 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 553 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 554 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 555 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 556 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 557 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 558 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 559 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 560 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.611 * * * * [progress]: [ 561 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (+ (/ (/ (/ (- 1 k) 2) 2) 2) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 562 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n (* 2 PI)) (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 563 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 564 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 565 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 566 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 567 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 568 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 569 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 570 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 571 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 572 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 573 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.612 * * * * [progress]: [ 574 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 575 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 576 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 577 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 578 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 579 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 580 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 581 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 582 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 583 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 584 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 585 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 586 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 587 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.613 * * * * [progress]: [ 588 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 589 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 590 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 591 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 592 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 593 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 594 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 595 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 596 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 597 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 598 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 599 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.614 * * * * [progress]: [ 600 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 601 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 1) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 602 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 603 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 604 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 605 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 606 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 607 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 2 (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 608 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 609 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 610 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 611 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 612 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.615 * * * * [progress]: [ 613 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 614 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 615 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 616 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 617 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 618 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 619 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 620 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 621 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.616 * * * * [progress]: [ 622 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))))>
20.616 * * * * [progress]: [ 623 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
20.616 * * * * [progress]: [ 624 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
20.616 * * * * [progress]: [ 625 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 626 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 627 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 628 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 629 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 630 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 631 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 632 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.617 * * * * [progress]: [ 633 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
20.624 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2)))
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  (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))
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  (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
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  (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))
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  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
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  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* 2 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1)
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
  (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
  (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k)))))
  (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
  (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
20.644 * * [simplify]: iteration 1: (702 enodes)
21.133 * * [simplify]: Extracting #0: cost 168 inf + 0
21.135 * * [simplify]: Extracting #1: cost 810 inf + 1
21.138 * * [simplify]: Extracting #2: cost 1276 inf + 420
21.143 * * [simplify]: Extracting #3: cost 1262 inf + 8909
21.160 * * [simplify]: Extracting #4: cost 1026 inf + 81868
21.236 * * [simplify]: Extracting #5: cost 357 inf + 374904
21.352 * * [simplify]: Extracting #6: cost 73 inf + 529193
21.440 * * [simplify]: Extracting #7: cost 22 inf + 558929
21.571 * * [simplify]: Extracting #8: cost 4 inf + 573441
21.676 * * [simplify]: Extracting #9: cost 1 inf + 574417
21.780 * * [simplify]: Extracting #10: cost 0 inf + 575084
21.890 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (/ (- 1 k) 4)
  (/ (- 1 k) 4)
  (/ (- 1 k) 4)
  (pow (* (* PI 2) n) 1/4)
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 4))
  (pow (* PI 2) (/ (- 1 k) 4))
  (* (/ (- 1 k) 4) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (pow (* (* PI 2) n) (* 2 (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (expm1 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (log1p (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (pow (* (* PI 2) n) (/ 1/4 2))
  (pow (* (* PI 2) n) (/ (/ k 2) 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (/ (- 1 k) 4) 2)) (cbrt (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 4)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 4)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (pow n (/ (/ (- 1 k) 4) 2))
  (pow (* PI 2) (/ (/ (- 1 k) 4) 2))
  (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (real->posit16 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (expm1 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (log1p (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (pow (* (* PI 2) n) (/ 1/4 2))
  (pow (* (* PI 2) n) (/ (/ k 2) 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (/ (- 1 k) 4) 2)) (cbrt (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 4)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 4)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (pow n (/ (/ (- 1 k) 4) 2))
  (pow (* PI 2) (/ (/ (- 1 k) 4) 2))
  (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (real->posit16 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (expm1 (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (log1p (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (+ (/ (/ (- 1 k) 4) 2) (/ (/ (- 1 k) 4) 2))
  (* (* (* PI 2) n) (* (* PI 2) n))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (+ (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (+ (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (exp (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (* (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (fabs (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (fabs (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ 1/4 2)) (pow (* (* PI 2) n) (/ 1/4 2)))
  (pow (* (* PI 2) n) (* 2 (/ (/ k 2) 4)))
  (pow n (* 2 (/ (/ (- 1 k) 4) 2)))
  (pow (* PI 2) (* 2 (/ (/ (- 1 k) 4) 2)))
  (* (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  1
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (/ (* 2 (/ (- 1 k) 4)) 2)
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow n (/ (/ (- 1 k) 4) 2)))
  (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* PI 2) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ 1/4 2)))
  (* (pow (* (* PI 2) n) (/ 1/4 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (real->posit16 (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (- (fma 1/16 (* (* (* (* k k) (log n)) (exp (* (log (* (* PI 2) n)) 1/4))) (log (* PI 2))) (+ (* 1/32 (+ (* (exp (* (log (* (* PI 2) n)) 1/4)) (* (* k k) (* (log n) (log n)))) (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* (log (* (* PI 2) n)) 1/4))) (* k k)))) (exp (* (log (* (* PI 2) n)) 1/4)))) (* 1/4 (+ (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (* k (exp (* (log (* (* PI 2) n)) 1/4))) (log (* PI 2))))))
  (exp (* (* 1/4 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* 1/4 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k))))
  (- (+ (exp (* 1/8 (log (* (* PI 2) n)))) (fma 1/64 (* (* (log (* PI 2)) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n))) (* 1/128 (+ (* (* (* k k) (* (log n) (log n))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (* k k))))))) (* 1/8 (+ (* (log (* PI 2)) (* k (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (log n)) k))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (+ (exp (* 1/8 (log (* (* PI 2) n)))) (fma 1/64 (* (* (log (* PI 2)) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n))) (* 1/128 (+ (* (* (* k k) (* (log n) (log n))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (* k k))))))) (* 1/8 (+ (* (log (* PI 2)) (* k (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (log n)) k))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (fma 1/32 (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))))) (+ (fma 1/16 (* (log (* PI 2)) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n)))) (* (* 1/32 (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* k k) (* (log n) (log n))))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))))) (* 1/4 (+ (* (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) k) (log (* PI 2))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (log n) k)))))
  (* (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n))))))
  (* (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))))
22.009 * * * [progress]: adding candidates to table
33.070 * * [progress]: iteration 4 / 4
33.070 * * * [progress]: picking best candidate
33.133 * * * * [pick]: Picked  #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
33.133 * * * [progress]: localizing error
33.177 * * * [progress]: generating rewritten candidates
33.177 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2)
33.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
33.226 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
33.243 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
33.341 * * * [progress]: generating series expansions
33.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2)
33.342 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) into (pow (* 2 (* n PI)) (* 1/4 (- 1 k)))
33.342 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in (n k) around 0
33.342 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in k
33.342 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in k
33.342 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in k
33.342 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in k
33.342 * [taylor]: Taking taylor expansion of 1/4 in k
33.342 * [backup-simplify]: Simplify 1/4 into 1/4
33.342 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.342 * [taylor]: Taking taylor expansion of 1 in k
33.342 * [backup-simplify]: Simplify 1 into 1
33.342 * [taylor]: Taking taylor expansion of k in k
33.342 * [backup-simplify]: Simplify 0 into 0
33.342 * [backup-simplify]: Simplify 1 into 1
33.342 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
33.342 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
33.342 * [taylor]: Taking taylor expansion of 2 in k
33.342 * [backup-simplify]: Simplify 2 into 2
33.342 * [taylor]: Taking taylor expansion of (* n PI) in k
33.342 * [taylor]: Taking taylor expansion of n in k
33.342 * [backup-simplify]: Simplify n into n
33.342 * [taylor]: Taking taylor expansion of PI in k
33.342 * [backup-simplify]: Simplify PI into PI
33.342 * [backup-simplify]: Simplify (* n PI) into (* n PI)
33.342 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
33.342 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
33.343 * [backup-simplify]: Simplify (- 0) into 0
33.343 * [backup-simplify]: Simplify (+ 1 0) into 1
33.344 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
33.344 * [backup-simplify]: Simplify (* 1/4 (log (* 2 (* n PI)))) into (* 1/4 (log (* 2 (* n PI))))
33.344 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/4)
33.344 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
33.344 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
33.344 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
33.344 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
33.344 * [taylor]: Taking taylor expansion of 1/4 in n
33.344 * [backup-simplify]: Simplify 1/4 into 1/4
33.344 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.344 * [taylor]: Taking taylor expansion of 1 in n
33.344 * [backup-simplify]: Simplify 1 into 1
33.344 * [taylor]: Taking taylor expansion of k in n
33.344 * [backup-simplify]: Simplify k into k
33.344 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.344 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.344 * [taylor]: Taking taylor expansion of 2 in n
33.344 * [backup-simplify]: Simplify 2 into 2
33.344 * [taylor]: Taking taylor expansion of (* n PI) in n
33.344 * [taylor]: Taking taylor expansion of n in n
33.345 * [backup-simplify]: Simplify 0 into 0
33.345 * [backup-simplify]: Simplify 1 into 1
33.345 * [taylor]: Taking taylor expansion of PI in n
33.345 * [backup-simplify]: Simplify PI into PI
33.345 * [backup-simplify]: Simplify (* 0 PI) into 0
33.345 * [backup-simplify]: Simplify (* 2 0) into 0
33.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.348 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.349 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.350 * [backup-simplify]: Simplify (- k) into (- k)
33.350 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.350 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
33.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.352 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.353 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.353 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/4 (- 1 k))) in n
33.353 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 k)) (log (* 2 (* n PI))))) in n
33.353 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 k)) (log (* 2 (* n PI)))) in n
33.353 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 k)) in n
33.353 * [taylor]: Taking taylor expansion of 1/4 in n
33.353 * [backup-simplify]: Simplify 1/4 into 1/4
33.354 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.354 * [taylor]: Taking taylor expansion of 1 in n
33.354 * [backup-simplify]: Simplify 1 into 1
33.354 * [taylor]: Taking taylor expansion of k in n
33.354 * [backup-simplify]: Simplify k into k
33.354 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.354 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.354 * [taylor]: Taking taylor expansion of 2 in n
33.354 * [backup-simplify]: Simplify 2 into 2
33.354 * [taylor]: Taking taylor expansion of (* n PI) in n
33.354 * [taylor]: Taking taylor expansion of n in n
33.354 * [backup-simplify]: Simplify 0 into 0
33.354 * [backup-simplify]: Simplify 1 into 1
33.354 * [taylor]: Taking taylor expansion of PI in n
33.354 * [backup-simplify]: Simplify PI into PI
33.354 * [backup-simplify]: Simplify (* 0 PI) into 0
33.355 * [backup-simplify]: Simplify (* 2 0) into 0
33.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.358 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.359 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.359 * [backup-simplify]: Simplify (- k) into (- k)
33.359 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.359 * [backup-simplify]: Simplify (* 1/4 (- 1 k)) into (* 1/4 (- 1 k))
33.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.360 * [backup-simplify]: Simplify (* (* 1/4 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.361 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.361 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
33.361 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
33.361 * [taylor]: Taking taylor expansion of 1/4 in k
33.361 * [backup-simplify]: Simplify 1/4 into 1/4
33.361 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
33.361 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.361 * [taylor]: Taking taylor expansion of 1 in k
33.361 * [backup-simplify]: Simplify 1 into 1
33.361 * [taylor]: Taking taylor expansion of k in k
33.361 * [backup-simplify]: Simplify 0 into 0
33.361 * [backup-simplify]: Simplify 1 into 1
33.361 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
33.361 * [taylor]: Taking taylor expansion of (log n) in k
33.361 * [taylor]: Taking taylor expansion of n in k
33.361 * [backup-simplify]: Simplify n into n
33.361 * [backup-simplify]: Simplify (log n) into (log n)
33.361 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.361 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.361 * [taylor]: Taking taylor expansion of 2 in k
33.362 * [backup-simplify]: Simplify 2 into 2
33.362 * [taylor]: Taking taylor expansion of PI in k
33.362 * [backup-simplify]: Simplify PI into PI
33.362 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.363 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.363 * [backup-simplify]: Simplify (- 0) into 0
33.363 * [backup-simplify]: Simplify (+ 1 0) into 1
33.364 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.365 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
33.366 * [backup-simplify]: Simplify (* 1/4 (+ (log n) (log (* 2 PI)))) into (* 1/4 (+ (log n) (log (* 2 PI))))
33.376 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
33.377 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log n) (log (* 2 PI))))) into (exp (* 1/4 (+ (log n) (log (* 2 PI)))))
33.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
33.378 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
33.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.380 * [backup-simplify]: Simplify (- 0) into 0
33.380 * [backup-simplify]: Simplify (+ 0 0) into 0
33.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 k))) into 0
33.381 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.382 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
33.384 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.384 * [taylor]: Taking taylor expansion of 0 in k
33.384 * [backup-simplify]: Simplify 0 into 0
33.384 * [backup-simplify]: Simplify 0 into 0
33.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
33.385 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.386 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.387 * [backup-simplify]: Simplify (+ 0 0) into 0
33.387 * [backup-simplify]: Simplify (- 1) into -1
33.387 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.388 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
33.390 * [backup-simplify]: Simplify (+ (* 1/4 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))))
33.391 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
33.393 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI)))))))
33.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
33.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
33.396 * [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
33.396 * [backup-simplify]: Simplify (- 0) into 0
33.397 * [backup-simplify]: Simplify (+ 0 0) into 0
33.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
33.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.399 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.401 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.401 * [taylor]: Taking taylor expansion of 0 in k
33.402 * [backup-simplify]: Simplify 0 into 0
33.402 * [backup-simplify]: Simplify 0 into 0
33.402 * [backup-simplify]: Simplify 0 into 0
33.403 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
33.404 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.407 * [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
33.408 * [backup-simplify]: Simplify (+ 0 0) into 0
33.408 * [backup-simplify]: Simplify (- 0) into 0
33.408 * [backup-simplify]: Simplify (+ 0 0) into 0
33.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.416 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
33.421 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) into (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2)))))
33.429 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (pow (log n) 2)) (+ (* 1/16 (* (log n) (log (* 2 PI)))) (* 1/32 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/4 (log n)) (* 1/4 (log (* 2 PI)))) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/4 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
33.430 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (- 1 (/ 1 k)) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k))))
33.430 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in (n k) around 0
33.430 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in k
33.430 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
33.430 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
33.430 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in k
33.431 * [taylor]: Taking taylor expansion of 1/4 in k
33.431 * [backup-simplify]: Simplify 1/4 into 1/4
33.431 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.431 * [taylor]: Taking taylor expansion of 1 in k
33.431 * [backup-simplify]: Simplify 1 into 1
33.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.431 * [taylor]: Taking taylor expansion of k in k
33.431 * [backup-simplify]: Simplify 0 into 0
33.431 * [backup-simplify]: Simplify 1 into 1
33.431 * [backup-simplify]: Simplify (/ 1 1) into 1
33.431 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
33.431 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
33.431 * [taylor]: Taking taylor expansion of 2 in k
33.431 * [backup-simplify]: Simplify 2 into 2
33.431 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.431 * [taylor]: Taking taylor expansion of PI in k
33.431 * [backup-simplify]: Simplify PI into PI
33.431 * [taylor]: Taking taylor expansion of n in k
33.431 * [backup-simplify]: Simplify n into n
33.432 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.432 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
33.432 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
33.432 * [backup-simplify]: Simplify (- 1) into -1
33.433 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.433 * [backup-simplify]: Simplify (* 1/4 -1) into -1/4
33.433 * [backup-simplify]: Simplify (* -1/4 (log (* 2 (/ PI n)))) into (* -1/4 (log (* 2 (/ PI n))))
33.433 * [backup-simplify]: Simplify (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
33.433 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
33.433 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.434 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.434 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
33.434 * [taylor]: Taking taylor expansion of 1/4 in n
33.434 * [backup-simplify]: Simplify 1/4 into 1/4
33.434 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.434 * [taylor]: Taking taylor expansion of 1 in n
33.434 * [backup-simplify]: Simplify 1 into 1
33.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.434 * [taylor]: Taking taylor expansion of k in n
33.434 * [backup-simplify]: Simplify k into k
33.434 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.434 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.434 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.434 * [taylor]: Taking taylor expansion of 2 in n
33.434 * [backup-simplify]: Simplify 2 into 2
33.434 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.434 * [taylor]: Taking taylor expansion of PI in n
33.434 * [backup-simplify]: Simplify PI into PI
33.434 * [taylor]: Taking taylor expansion of n in n
33.434 * [backup-simplify]: Simplify 0 into 0
33.434 * [backup-simplify]: Simplify 1 into 1
33.435 * [backup-simplify]: Simplify (/ PI 1) into PI
33.435 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.436 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.436 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.436 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.437 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
33.438 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.439 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.441 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.441 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/4 (- 1 (/ 1 k)))) in n
33.441 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.441 * [taylor]: Taking taylor expansion of (* (* 1/4 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.441 * [taylor]: Taking taylor expansion of (* 1/4 (- 1 (/ 1 k))) in n
33.441 * [taylor]: Taking taylor expansion of 1/4 in n
33.441 * [backup-simplify]: Simplify 1/4 into 1/4
33.441 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.441 * [taylor]: Taking taylor expansion of 1 in n
33.441 * [backup-simplify]: Simplify 1 into 1
33.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.441 * [taylor]: Taking taylor expansion of k in n
33.441 * [backup-simplify]: Simplify k into k
33.441 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.441 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.441 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.441 * [taylor]: Taking taylor expansion of 2 in n
33.441 * [backup-simplify]: Simplify 2 into 2
33.441 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.441 * [taylor]: Taking taylor expansion of PI in n
33.441 * [backup-simplify]: Simplify PI into PI
33.441 * [taylor]: Taking taylor expansion of n in n
33.441 * [backup-simplify]: Simplify 0 into 0
33.441 * [backup-simplify]: Simplify 1 into 1
33.442 * [backup-simplify]: Simplify (/ PI 1) into PI
33.442 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.443 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.443 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.444 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.444 * [backup-simplify]: Simplify (* 1/4 (- 1 (/ 1 k))) into (* 1/4 (- 1 (/ 1 k)))
33.445 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.446 * [backup-simplify]: Simplify (* (* 1/4 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.448 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.448 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
33.448 * [taylor]: Taking taylor expansion of (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
33.448 * [taylor]: Taking taylor expansion of 1/4 in k
33.448 * [backup-simplify]: Simplify 1/4 into 1/4
33.448 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
33.448 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.448 * [taylor]: Taking taylor expansion of 1 in k
33.448 * [backup-simplify]: Simplify 1 into 1
33.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.448 * [taylor]: Taking taylor expansion of k in k
33.448 * [backup-simplify]: Simplify 0 into 0
33.448 * [backup-simplify]: Simplify 1 into 1
33.448 * [backup-simplify]: Simplify (/ 1 1) into 1
33.449 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
33.449 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.449 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.449 * [taylor]: Taking taylor expansion of 2 in k
33.449 * [backup-simplify]: Simplify 2 into 2
33.449 * [taylor]: Taking taylor expansion of PI in k
33.449 * [backup-simplify]: Simplify PI into PI
33.449 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.450 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.450 * [taylor]: Taking taylor expansion of (log n) in k
33.450 * [taylor]: Taking taylor expansion of n in k
33.450 * [backup-simplify]: Simplify n into n
33.450 * [backup-simplify]: Simplify (log n) into (log n)
33.451 * [backup-simplify]: Simplify (- 1) into -1
33.451 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.451 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.452 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
33.454 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
33.455 * [backup-simplify]: Simplify (* 1/4 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/4 (- (log (* 2 PI)) (log n)))
33.456 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.457 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.461 * [backup-simplify]: Simplify (- 0) into 0
33.462 * [backup-simplify]: Simplify (+ 0 0) into 0
33.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- 1 (/ 1 k)))) into 0
33.464 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.465 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
33.467 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.467 * [taylor]: Taking taylor expansion of 0 in k
33.467 * [backup-simplify]: Simplify 0 into 0
33.467 * [backup-simplify]: Simplify 0 into 0
33.467 * [backup-simplify]: Simplify 0 into 0
33.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.469 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.472 * [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
33.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.473 * [backup-simplify]: Simplify (- 0) into 0
33.473 * [backup-simplify]: Simplify (+ 0 0) into 0
33.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
33.476 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.477 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
33.479 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.479 * [taylor]: Taking taylor expansion of 0 in k
33.479 * [backup-simplify]: Simplify 0 into 0
33.479 * [backup-simplify]: Simplify 0 into 0
33.479 * [backup-simplify]: Simplify 0 into 0
33.479 * [backup-simplify]: Simplify 0 into 0
33.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.487 * [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
33.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.488 * [backup-simplify]: Simplify (- 0) into 0
33.488 * [backup-simplify]: Simplify (+ 0 0) into 0
33.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
33.491 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.493 * [backup-simplify]: Simplify (+ (* (* 1/4 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
33.495 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.495 * [taylor]: Taking taylor expansion of 0 in k
33.495 * [backup-simplify]: Simplify 0 into 0
33.495 * [backup-simplify]: Simplify 0 into 0
33.497 * [backup-simplify]: Simplify (exp (* 1/4 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
33.497 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (- 1 (/ 1 (- k))) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1)))
33.497 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in (n k) around 0
33.497 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in k
33.497 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
33.497 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
33.498 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in k
33.498 * [taylor]: Taking taylor expansion of 1/4 in k
33.498 * [backup-simplify]: Simplify 1/4 into 1/4
33.498 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.498 * [taylor]: Taking taylor expansion of k in k
33.498 * [backup-simplify]: Simplify 0 into 0
33.498 * [backup-simplify]: Simplify 1 into 1
33.498 * [backup-simplify]: Simplify (/ 1 1) into 1
33.498 * [taylor]: Taking taylor expansion of 1 in k
33.498 * [backup-simplify]: Simplify 1 into 1
33.498 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
33.498 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
33.498 * [taylor]: Taking taylor expansion of -2 in k
33.498 * [backup-simplify]: Simplify -2 into -2
33.498 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.498 * [taylor]: Taking taylor expansion of PI in k
33.498 * [backup-simplify]: Simplify PI into PI
33.498 * [taylor]: Taking taylor expansion of n in k
33.498 * [backup-simplify]: Simplify n into n
33.498 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.499 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
33.499 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
33.499 * [backup-simplify]: Simplify (+ 1 0) into 1
33.500 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
33.500 * [backup-simplify]: Simplify (* 1/4 (log (* -2 (/ PI n)))) into (* 1/4 (log (* -2 (/ PI n))))
33.500 * [backup-simplify]: Simplify (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/4 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
33.500 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
33.500 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.500 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.500 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
33.500 * [taylor]: Taking taylor expansion of 1/4 in n
33.500 * [backup-simplify]: Simplify 1/4 into 1/4
33.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.500 * [taylor]: Taking taylor expansion of k in n
33.500 * [backup-simplify]: Simplify k into k
33.500 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.500 * [taylor]: Taking taylor expansion of 1 in n
33.500 * [backup-simplify]: Simplify 1 into 1
33.500 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.500 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.500 * [taylor]: Taking taylor expansion of -2 in n
33.500 * [backup-simplify]: Simplify -2 into -2
33.500 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.500 * [taylor]: Taking taylor expansion of PI in n
33.500 * [backup-simplify]: Simplify PI into PI
33.500 * [taylor]: Taking taylor expansion of n in n
33.500 * [backup-simplify]: Simplify 0 into 0
33.500 * [backup-simplify]: Simplify 1 into 1
33.501 * [backup-simplify]: Simplify (/ PI 1) into PI
33.501 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.502 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.502 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.503 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
33.511 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.512 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.513 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.513 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/4 (+ (/ 1 k) 1))) in n
33.513 * [taylor]: Taking taylor expansion of (exp (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.513 * [taylor]: Taking taylor expansion of (* (* 1/4 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.513 * [taylor]: Taking taylor expansion of (* 1/4 (+ (/ 1 k) 1)) in n
33.513 * [taylor]: Taking taylor expansion of 1/4 in n
33.513 * [backup-simplify]: Simplify 1/4 into 1/4
33.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.514 * [taylor]: Taking taylor expansion of k in n
33.514 * [backup-simplify]: Simplify k into k
33.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.514 * [taylor]: Taking taylor expansion of 1 in n
33.514 * [backup-simplify]: Simplify 1 into 1
33.514 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.514 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.514 * [taylor]: Taking taylor expansion of -2 in n
33.514 * [backup-simplify]: Simplify -2 into -2
33.514 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.514 * [taylor]: Taking taylor expansion of PI in n
33.514 * [backup-simplify]: Simplify PI into PI
33.514 * [taylor]: Taking taylor expansion of n in n
33.514 * [backup-simplify]: Simplify 0 into 0
33.514 * [backup-simplify]: Simplify 1 into 1
33.514 * [backup-simplify]: Simplify (/ PI 1) into PI
33.515 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.516 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.516 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.516 * [backup-simplify]: Simplify (* 1/4 (+ (/ 1 k) 1)) into (* 1/4 (+ (/ 1 k) 1))
33.518 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.519 * [backup-simplify]: Simplify (* (* 1/4 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.520 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.520 * [taylor]: Taking taylor expansion of (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
33.520 * [taylor]: Taking taylor expansion of (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
33.520 * [taylor]: Taking taylor expansion of 1/4 in k
33.520 * [backup-simplify]: Simplify 1/4 into 1/4
33.520 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
33.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.520 * [taylor]: Taking taylor expansion of k in k
33.520 * [backup-simplify]: Simplify 0 into 0
33.520 * [backup-simplify]: Simplify 1 into 1
33.521 * [backup-simplify]: Simplify (/ 1 1) into 1
33.521 * [taylor]: Taking taylor expansion of 1 in k
33.521 * [backup-simplify]: Simplify 1 into 1
33.521 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
33.521 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
33.521 * [taylor]: Taking taylor expansion of (* -2 PI) in k
33.521 * [taylor]: Taking taylor expansion of -2 in k
33.521 * [backup-simplify]: Simplify -2 into -2
33.521 * [taylor]: Taking taylor expansion of PI in k
33.521 * [backup-simplify]: Simplify PI into PI
33.521 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.522 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.522 * [taylor]: Taking taylor expansion of (log n) in k
33.523 * [taylor]: Taking taylor expansion of n in k
33.523 * [backup-simplify]: Simplify n into n
33.523 * [backup-simplify]: Simplify (log n) into (log n)
33.523 * [backup-simplify]: Simplify (+ 1 0) into 1
33.523 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.524 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
33.525 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
33.526 * [backup-simplify]: Simplify (* 1/4 (- (log (* -2 PI)) (log n))) into (* 1/4 (- (log (* -2 PI)) (log n)))
33.527 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.529 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.531 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
33.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
33.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.533 * [backup-simplify]: Simplify (+ 0 0) into 0
33.534 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (/ 1 k) 1))) into 0
33.535 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.537 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
33.539 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.539 * [taylor]: Taking taylor expansion of 0 in k
33.539 * [backup-simplify]: Simplify 0 into 0
33.539 * [backup-simplify]: Simplify 0 into 0
33.539 * [backup-simplify]: Simplify 0 into 0
33.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.541 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
33.545 * [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
33.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.545 * [backup-simplify]: Simplify (+ 0 0) into 0
33.546 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
33.548 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.549 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
33.553 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.553 * [taylor]: Taking taylor expansion of 0 in k
33.553 * [backup-simplify]: Simplify 0 into 0
33.553 * [backup-simplify]: Simplify 0 into 0
33.553 * [backup-simplify]: Simplify 0 into 0
33.553 * [backup-simplify]: Simplify 0 into 0
33.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.556 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.562 * [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
33.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.563 * [backup-simplify]: Simplify (+ 0 0) into 0
33.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
33.566 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.568 * [backup-simplify]: Simplify (+ (* (* 1/4 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
33.571 * [backup-simplify]: Simplify (* (exp (* 1/4 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.571 * [taylor]: Taking taylor expansion of 0 in k
33.571 * [backup-simplify]: Simplify 0 into 0
33.571 * [backup-simplify]: Simplify 0 into 0
33.572 * [backup-simplify]: Simplify (exp (* 1/4 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
33.572 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
33.573 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) into (pow (* 2 (* n PI)) (* 1/8 (- 1 k)))
33.573 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in (n k) around 0
33.573 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
33.573 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
33.573 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
33.573 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
33.573 * [taylor]: Taking taylor expansion of 1/8 in k
33.573 * [backup-simplify]: Simplify 1/8 into 1/8
33.573 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.573 * [taylor]: Taking taylor expansion of 1 in k
33.573 * [backup-simplify]: Simplify 1 into 1
33.573 * [taylor]: Taking taylor expansion of k in k
33.573 * [backup-simplify]: Simplify 0 into 0
33.573 * [backup-simplify]: Simplify 1 into 1
33.573 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
33.573 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
33.573 * [taylor]: Taking taylor expansion of 2 in k
33.573 * [backup-simplify]: Simplify 2 into 2
33.573 * [taylor]: Taking taylor expansion of (* n PI) in k
33.573 * [taylor]: Taking taylor expansion of n in k
33.573 * [backup-simplify]: Simplify n into n
33.573 * [taylor]: Taking taylor expansion of PI in k
33.573 * [backup-simplify]: Simplify PI into PI
33.574 * [backup-simplify]: Simplify (* n PI) into (* n PI)
33.574 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
33.574 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
33.574 * [backup-simplify]: Simplify (- 0) into 0
33.575 * [backup-simplify]: Simplify (+ 1 0) into 1
33.575 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
33.575 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
33.575 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
33.575 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.575 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.575 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.575 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.575 * [taylor]: Taking taylor expansion of 1/8 in n
33.575 * [backup-simplify]: Simplify 1/8 into 1/8
33.575 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.576 * [taylor]: Taking taylor expansion of 1 in n
33.576 * [backup-simplify]: Simplify 1 into 1
33.576 * [taylor]: Taking taylor expansion of k in n
33.576 * [backup-simplify]: Simplify k into k
33.576 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.576 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.576 * [taylor]: Taking taylor expansion of 2 in n
33.576 * [backup-simplify]: Simplify 2 into 2
33.576 * [taylor]: Taking taylor expansion of (* n PI) in n
33.576 * [taylor]: Taking taylor expansion of n in n
33.576 * [backup-simplify]: Simplify 0 into 0
33.576 * [backup-simplify]: Simplify 1 into 1
33.576 * [taylor]: Taking taylor expansion of PI in n
33.576 * [backup-simplify]: Simplify PI into PI
33.576 * [backup-simplify]: Simplify (* 0 PI) into 0
33.577 * [backup-simplify]: Simplify (* 2 0) into 0
33.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.580 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.581 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.581 * [backup-simplify]: Simplify (- k) into (- k)
33.581 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.581 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.583 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.584 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.585 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.585 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.585 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.585 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.585 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.585 * [taylor]: Taking taylor expansion of 1/8 in n
33.585 * [backup-simplify]: Simplify 1/8 into 1/8
33.585 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.585 * [taylor]: Taking taylor expansion of 1 in n
33.585 * [backup-simplify]: Simplify 1 into 1
33.585 * [taylor]: Taking taylor expansion of k in n
33.585 * [backup-simplify]: Simplify k into k
33.585 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.585 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.585 * [taylor]: Taking taylor expansion of 2 in n
33.586 * [backup-simplify]: Simplify 2 into 2
33.586 * [taylor]: Taking taylor expansion of (* n PI) in n
33.586 * [taylor]: Taking taylor expansion of n in n
33.586 * [backup-simplify]: Simplify 0 into 0
33.586 * [backup-simplify]: Simplify 1 into 1
33.586 * [taylor]: Taking taylor expansion of PI in n
33.586 * [backup-simplify]: Simplify PI into PI
33.586 * [backup-simplify]: Simplify (* 0 PI) into 0
33.587 * [backup-simplify]: Simplify (* 2 0) into 0
33.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.590 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.591 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.591 * [backup-simplify]: Simplify (- k) into (- k)
33.591 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.591 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.592 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.593 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.594 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.594 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
33.595 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
33.595 * [taylor]: Taking taylor expansion of 1/8 in k
33.595 * [backup-simplify]: Simplify 1/8 into 1/8
33.595 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
33.595 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.595 * [taylor]: Taking taylor expansion of 1 in k
33.595 * [backup-simplify]: Simplify 1 into 1
33.595 * [taylor]: Taking taylor expansion of k in k
33.595 * [backup-simplify]: Simplify 0 into 0
33.595 * [backup-simplify]: Simplify 1 into 1
33.595 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
33.595 * [taylor]: Taking taylor expansion of (log n) in k
33.595 * [taylor]: Taking taylor expansion of n in k
33.595 * [backup-simplify]: Simplify n into n
33.595 * [backup-simplify]: Simplify (log n) into (log n)
33.595 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.595 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.595 * [taylor]: Taking taylor expansion of 2 in k
33.595 * [backup-simplify]: Simplify 2 into 2
33.595 * [taylor]: Taking taylor expansion of PI in k
33.595 * [backup-simplify]: Simplify PI into PI
33.596 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.597 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.597 * [backup-simplify]: Simplify (- 0) into 0
33.597 * [backup-simplify]: Simplify (+ 1 0) into 1
33.598 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.599 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
33.601 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
33.602 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
33.603 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
33.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
33.605 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
33.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.607 * [backup-simplify]: Simplify (- 0) into 0
33.607 * [backup-simplify]: Simplify (+ 0 0) into 0
33.607 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
33.608 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.609 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
33.610 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.610 * [taylor]: Taking taylor expansion of 0 in k
33.610 * [backup-simplify]: Simplify 0 into 0
33.610 * [backup-simplify]: Simplify 0 into 0
33.611 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
33.611 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.612 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.612 * [backup-simplify]: Simplify (+ 0 0) into 0
33.613 * [backup-simplify]: Simplify (- 1) into -1
33.613 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.614 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
33.615 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
33.617 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
33.619 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
33.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
33.620 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
33.622 * [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
33.622 * [backup-simplify]: Simplify (- 0) into 0
33.623 * [backup-simplify]: Simplify (+ 0 0) into 0
33.623 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
33.624 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.625 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.626 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.626 * [taylor]: Taking taylor expansion of 0 in k
33.626 * [backup-simplify]: Simplify 0 into 0
33.626 * [backup-simplify]: Simplify 0 into 0
33.626 * [backup-simplify]: Simplify 0 into 0
33.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
33.628 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.630 * [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
33.630 * [backup-simplify]: Simplify (+ 0 0) into 0
33.630 * [backup-simplify]: Simplify (- 0) into 0
33.630 * [backup-simplify]: Simplify (+ 0 0) into 0
33.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.633 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.635 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
33.643 * [backup-simplify]: Simplify (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))))
33.649 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
33.649 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k))))
33.649 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in (n k) around 0
33.649 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
33.649 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
33.649 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
33.649 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
33.649 * [taylor]: Taking taylor expansion of 1/8 in k
33.649 * [backup-simplify]: Simplify 1/8 into 1/8
33.649 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.649 * [taylor]: Taking taylor expansion of 1 in k
33.649 * [backup-simplify]: Simplify 1 into 1
33.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.649 * [taylor]: Taking taylor expansion of k in k
33.649 * [backup-simplify]: Simplify 0 into 0
33.649 * [backup-simplify]: Simplify 1 into 1
33.650 * [backup-simplify]: Simplify (/ 1 1) into 1
33.650 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
33.650 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
33.650 * [taylor]: Taking taylor expansion of 2 in k
33.650 * [backup-simplify]: Simplify 2 into 2
33.650 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.650 * [taylor]: Taking taylor expansion of PI in k
33.650 * [backup-simplify]: Simplify PI into PI
33.650 * [taylor]: Taking taylor expansion of n in k
33.650 * [backup-simplify]: Simplify n into n
33.650 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.650 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
33.650 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
33.650 * [backup-simplify]: Simplify (- 1) into -1
33.651 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.651 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
33.651 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
33.651 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
33.651 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
33.651 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.651 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.651 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
33.651 * [taylor]: Taking taylor expansion of 1/8 in n
33.651 * [backup-simplify]: Simplify 1/8 into 1/8
33.651 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.652 * [taylor]: Taking taylor expansion of 1 in n
33.652 * [backup-simplify]: Simplify 1 into 1
33.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.652 * [taylor]: Taking taylor expansion of k in n
33.652 * [backup-simplify]: Simplify k into k
33.652 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.652 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.652 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.652 * [taylor]: Taking taylor expansion of 2 in n
33.652 * [backup-simplify]: Simplify 2 into 2
33.652 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.652 * [taylor]: Taking taylor expansion of PI in n
33.652 * [backup-simplify]: Simplify PI into PI
33.652 * [taylor]: Taking taylor expansion of n in n
33.652 * [backup-simplify]: Simplify 0 into 0
33.652 * [backup-simplify]: Simplify 1 into 1
33.652 * [backup-simplify]: Simplify (/ PI 1) into PI
33.653 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.654 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.654 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.654 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.655 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
33.656 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.657 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.658 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.658 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
33.658 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.658 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.658 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
33.658 * [taylor]: Taking taylor expansion of 1/8 in n
33.658 * [backup-simplify]: Simplify 1/8 into 1/8
33.658 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.658 * [taylor]: Taking taylor expansion of 1 in n
33.658 * [backup-simplify]: Simplify 1 into 1
33.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.658 * [taylor]: Taking taylor expansion of k in n
33.658 * [backup-simplify]: Simplify k into k
33.658 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.659 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.659 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.659 * [taylor]: Taking taylor expansion of 2 in n
33.659 * [backup-simplify]: Simplify 2 into 2
33.659 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.659 * [taylor]: Taking taylor expansion of PI in n
33.659 * [backup-simplify]: Simplify PI into PI
33.659 * [taylor]: Taking taylor expansion of n in n
33.659 * [backup-simplify]: Simplify 0 into 0
33.659 * [backup-simplify]: Simplify 1 into 1
33.659 * [backup-simplify]: Simplify (/ PI 1) into PI
33.660 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.661 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.661 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.661 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.661 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
33.662 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.663 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.664 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.665 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
33.665 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
33.665 * [taylor]: Taking taylor expansion of 1/8 in k
33.665 * [backup-simplify]: Simplify 1/8 into 1/8
33.665 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
33.665 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.665 * [taylor]: Taking taylor expansion of 1 in k
33.665 * [backup-simplify]: Simplify 1 into 1
33.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.665 * [taylor]: Taking taylor expansion of k in k
33.665 * [backup-simplify]: Simplify 0 into 0
33.665 * [backup-simplify]: Simplify 1 into 1
33.665 * [backup-simplify]: Simplify (/ 1 1) into 1
33.665 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
33.665 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.665 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.665 * [taylor]: Taking taylor expansion of 2 in k
33.665 * [backup-simplify]: Simplify 2 into 2
33.665 * [taylor]: Taking taylor expansion of PI in k
33.665 * [backup-simplify]: Simplify PI into PI
33.666 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.667 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.667 * [taylor]: Taking taylor expansion of (log n) in k
33.667 * [taylor]: Taking taylor expansion of n in k
33.667 * [backup-simplify]: Simplify n into n
33.667 * [backup-simplify]: Simplify (log n) into (log n)
33.668 * [backup-simplify]: Simplify (- 1) into -1
33.668 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.668 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.669 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
33.670 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
33.671 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
33.672 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.673 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.675 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.677 * [backup-simplify]: Simplify (- 0) into 0
33.678 * [backup-simplify]: Simplify (+ 0 0) into 0
33.678 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
33.679 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.680 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
33.681 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.681 * [taylor]: Taking taylor expansion of 0 in k
33.681 * [backup-simplify]: Simplify 0 into 0
33.681 * [backup-simplify]: Simplify 0 into 0
33.681 * [backup-simplify]: Simplify 0 into 0
33.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.682 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.684 * [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
33.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.684 * [backup-simplify]: Simplify (- 0) into 0
33.684 * [backup-simplify]: Simplify (+ 0 0) into 0
33.685 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
33.686 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.687 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
33.688 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.688 * [taylor]: Taking taylor expansion of 0 in k
33.688 * [backup-simplify]: Simplify 0 into 0
33.688 * [backup-simplify]: Simplify 0 into 0
33.688 * [backup-simplify]: Simplify 0 into 0
33.688 * [backup-simplify]: Simplify 0 into 0
33.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.690 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.693 * [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
33.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.693 * [backup-simplify]: Simplify (- 0) into 0
33.693 * [backup-simplify]: Simplify (+ 0 0) into 0
33.694 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
33.695 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.696 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
33.698 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.698 * [taylor]: Taking taylor expansion of 0 in k
33.698 * [backup-simplify]: Simplify 0 into 0
33.698 * [backup-simplify]: Simplify 0 into 0
33.698 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
33.699 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1)))
33.699 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in (n k) around 0
33.699 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
33.699 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
33.699 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
33.699 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
33.699 * [taylor]: Taking taylor expansion of 1/8 in k
33.699 * [backup-simplify]: Simplify 1/8 into 1/8
33.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.699 * [taylor]: Taking taylor expansion of k in k
33.699 * [backup-simplify]: Simplify 0 into 0
33.699 * [backup-simplify]: Simplify 1 into 1
33.699 * [backup-simplify]: Simplify (/ 1 1) into 1
33.699 * [taylor]: Taking taylor expansion of 1 in k
33.699 * [backup-simplify]: Simplify 1 into 1
33.699 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
33.699 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
33.699 * [taylor]: Taking taylor expansion of -2 in k
33.700 * [backup-simplify]: Simplify -2 into -2
33.700 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.700 * [taylor]: Taking taylor expansion of PI in k
33.700 * [backup-simplify]: Simplify PI into PI
33.700 * [taylor]: Taking taylor expansion of n in k
33.700 * [backup-simplify]: Simplify n into n
33.700 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.700 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
33.700 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
33.700 * [backup-simplify]: Simplify (+ 1 0) into 1
33.700 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
33.700 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
33.700 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
33.701 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
33.701 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.701 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.701 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
33.701 * [taylor]: Taking taylor expansion of 1/8 in n
33.701 * [backup-simplify]: Simplify 1/8 into 1/8
33.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.701 * [taylor]: Taking taylor expansion of k in n
33.701 * [backup-simplify]: Simplify k into k
33.701 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.701 * [taylor]: Taking taylor expansion of 1 in n
33.701 * [backup-simplify]: Simplify 1 into 1
33.701 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.701 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.701 * [taylor]: Taking taylor expansion of -2 in n
33.701 * [backup-simplify]: Simplify -2 into -2
33.701 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.701 * [taylor]: Taking taylor expansion of PI in n
33.701 * [backup-simplify]: Simplify PI into PI
33.701 * [taylor]: Taking taylor expansion of n in n
33.701 * [backup-simplify]: Simplify 0 into 0
33.701 * [backup-simplify]: Simplify 1 into 1
33.701 * [backup-simplify]: Simplify (/ PI 1) into PI
33.701 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.702 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.702 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.702 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
33.703 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.704 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.704 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.704 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
33.704 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.704 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.705 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
33.705 * [taylor]: Taking taylor expansion of 1/8 in n
33.705 * [backup-simplify]: Simplify 1/8 into 1/8
33.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.705 * [taylor]: Taking taylor expansion of k in n
33.705 * [backup-simplify]: Simplify k into k
33.705 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.705 * [taylor]: Taking taylor expansion of 1 in n
33.705 * [backup-simplify]: Simplify 1 into 1
33.705 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.705 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.705 * [taylor]: Taking taylor expansion of -2 in n
33.705 * [backup-simplify]: Simplify -2 into -2
33.705 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.705 * [taylor]: Taking taylor expansion of PI in n
33.705 * [backup-simplify]: Simplify PI into PI
33.705 * [taylor]: Taking taylor expansion of n in n
33.705 * [backup-simplify]: Simplify 0 into 0
33.705 * [backup-simplify]: Simplify 1 into 1
33.705 * [backup-simplify]: Simplify (/ PI 1) into PI
33.705 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.706 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.706 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.706 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
33.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.708 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.708 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.708 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
33.708 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
33.708 * [taylor]: Taking taylor expansion of 1/8 in k
33.708 * [backup-simplify]: Simplify 1/8 into 1/8
33.708 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
33.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.709 * [taylor]: Taking taylor expansion of k in k
33.709 * [backup-simplify]: Simplify 0 into 0
33.709 * [backup-simplify]: Simplify 1 into 1
33.709 * [backup-simplify]: Simplify (/ 1 1) into 1
33.709 * [taylor]: Taking taylor expansion of 1 in k
33.709 * [backup-simplify]: Simplify 1 into 1
33.709 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
33.709 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
33.709 * [taylor]: Taking taylor expansion of (* -2 PI) in k
33.709 * [taylor]: Taking taylor expansion of -2 in k
33.709 * [backup-simplify]: Simplify -2 into -2
33.709 * [taylor]: Taking taylor expansion of PI in k
33.709 * [backup-simplify]: Simplify PI into PI
33.709 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.710 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.710 * [taylor]: Taking taylor expansion of (log n) in k
33.710 * [taylor]: Taking taylor expansion of n in k
33.710 * [backup-simplify]: Simplify n into n
33.710 * [backup-simplify]: Simplify (log n) into (log n)
33.710 * [backup-simplify]: Simplify (+ 1 0) into 1
33.710 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.711 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
33.712 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
33.712 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
33.713 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.713 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.715 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
33.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
33.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.716 * [backup-simplify]: Simplify (+ 0 0) into 0
33.716 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
33.717 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.718 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
33.719 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.719 * [taylor]: Taking taylor expansion of 0 in k
33.719 * [backup-simplify]: Simplify 0 into 0
33.719 * [backup-simplify]: Simplify 0 into 0
33.719 * [backup-simplify]: Simplify 0 into 0
33.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.720 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
33.722 * [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
33.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.722 * [backup-simplify]: Simplify (+ 0 0) into 0
33.723 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
33.724 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.725 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
33.727 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.727 * [taylor]: Taking taylor expansion of 0 in k
33.727 * [backup-simplify]: Simplify 0 into 0
33.727 * [backup-simplify]: Simplify 0 into 0
33.727 * [backup-simplify]: Simplify 0 into 0
33.727 * [backup-simplify]: Simplify 0 into 0
33.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.730 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.736 * [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
33.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.736 * [backup-simplify]: Simplify (+ 0 0) into 0
33.738 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
33.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.741 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
33.750 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.750 * [taylor]: Taking taylor expansion of 0 in k
33.750 * [backup-simplify]: Simplify 0 into 0
33.750 * [backup-simplify]: Simplify 0 into 0
33.751 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
33.751 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
33.752 * [backup-simplify]: Simplify (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) into (pow (* 2 (* n PI)) (* 1/8 (- 1 k)))
33.752 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in (n k) around 0
33.752 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
33.752 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
33.752 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
33.752 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
33.752 * [taylor]: Taking taylor expansion of 1/8 in k
33.752 * [backup-simplify]: Simplify 1/8 into 1/8
33.752 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.752 * [taylor]: Taking taylor expansion of 1 in k
33.752 * [backup-simplify]: Simplify 1 into 1
33.752 * [taylor]: Taking taylor expansion of k in k
33.752 * [backup-simplify]: Simplify 0 into 0
33.752 * [backup-simplify]: Simplify 1 into 1
33.752 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
33.752 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
33.752 * [taylor]: Taking taylor expansion of 2 in k
33.752 * [backup-simplify]: Simplify 2 into 2
33.752 * [taylor]: Taking taylor expansion of (* n PI) in k
33.752 * [taylor]: Taking taylor expansion of n in k
33.752 * [backup-simplify]: Simplify n into n
33.753 * [taylor]: Taking taylor expansion of PI in k
33.753 * [backup-simplify]: Simplify PI into PI
33.753 * [backup-simplify]: Simplify (* n PI) into (* n PI)
33.753 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
33.753 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
33.753 * [backup-simplify]: Simplify (- 0) into 0
33.754 * [backup-simplify]: Simplify (+ 1 0) into 1
33.754 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
33.754 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
33.754 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
33.754 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.754 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.754 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.754 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.754 * [taylor]: Taking taylor expansion of 1/8 in n
33.754 * [backup-simplify]: Simplify 1/8 into 1/8
33.754 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.754 * [taylor]: Taking taylor expansion of 1 in n
33.755 * [backup-simplify]: Simplify 1 into 1
33.755 * [taylor]: Taking taylor expansion of k in n
33.755 * [backup-simplify]: Simplify k into k
33.755 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.755 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.755 * [taylor]: Taking taylor expansion of 2 in n
33.755 * [backup-simplify]: Simplify 2 into 2
33.755 * [taylor]: Taking taylor expansion of (* n PI) in n
33.755 * [taylor]: Taking taylor expansion of n in n
33.755 * [backup-simplify]: Simplify 0 into 0
33.755 * [backup-simplify]: Simplify 1 into 1
33.755 * [taylor]: Taking taylor expansion of PI in n
33.755 * [backup-simplify]: Simplify PI into PI
33.755 * [backup-simplify]: Simplify (* 0 PI) into 0
33.756 * [backup-simplify]: Simplify (* 2 0) into 0
33.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.759 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.760 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.760 * [backup-simplify]: Simplify (- k) into (- k)
33.760 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.760 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.761 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.762 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.763 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.763 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.763 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.763 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.763 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.763 * [taylor]: Taking taylor expansion of 1/8 in n
33.763 * [backup-simplify]: Simplify 1/8 into 1/8
33.764 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.764 * [taylor]: Taking taylor expansion of 1 in n
33.764 * [backup-simplify]: Simplify 1 into 1
33.764 * [taylor]: Taking taylor expansion of k in n
33.764 * [backup-simplify]: Simplify k into k
33.764 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.764 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.764 * [taylor]: Taking taylor expansion of 2 in n
33.764 * [backup-simplify]: Simplify 2 into 2
33.764 * [taylor]: Taking taylor expansion of (* n PI) in n
33.764 * [taylor]: Taking taylor expansion of n in n
33.764 * [backup-simplify]: Simplify 0 into 0
33.764 * [backup-simplify]: Simplify 1 into 1
33.764 * [taylor]: Taking taylor expansion of PI in n
33.764 * [backup-simplify]: Simplify PI into PI
33.764 * [backup-simplify]: Simplify (* 0 PI) into 0
33.765 * [backup-simplify]: Simplify (* 2 0) into 0
33.766 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.768 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.769 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.769 * [backup-simplify]: Simplify (- k) into (- k)
33.769 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.769 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.771 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.772 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.773 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.773 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
33.773 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
33.773 * [taylor]: Taking taylor expansion of 1/8 in k
33.773 * [backup-simplify]: Simplify 1/8 into 1/8
33.773 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
33.773 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.773 * [taylor]: Taking taylor expansion of 1 in k
33.773 * [backup-simplify]: Simplify 1 into 1
33.773 * [taylor]: Taking taylor expansion of k in k
33.773 * [backup-simplify]: Simplify 0 into 0
33.773 * [backup-simplify]: Simplify 1 into 1
33.773 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
33.773 * [taylor]: Taking taylor expansion of (log n) in k
33.773 * [taylor]: Taking taylor expansion of n in k
33.773 * [backup-simplify]: Simplify n into n
33.773 * [backup-simplify]: Simplify (log n) into (log n)
33.773 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.773 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.773 * [taylor]: Taking taylor expansion of 2 in k
33.773 * [backup-simplify]: Simplify 2 into 2
33.773 * [taylor]: Taking taylor expansion of PI in k
33.773 * [backup-simplify]: Simplify PI into PI
33.774 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.775 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.775 * [backup-simplify]: Simplify (- 0) into 0
33.776 * [backup-simplify]: Simplify (+ 1 0) into 1
33.777 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.778 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
33.778 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
33.779 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
33.780 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
33.780 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
33.781 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
33.782 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.782 * [backup-simplify]: Simplify (- 0) into 0
33.782 * [backup-simplify]: Simplify (+ 0 0) into 0
33.783 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
33.784 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.785 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
33.786 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.786 * [taylor]: Taking taylor expansion of 0 in k
33.786 * [backup-simplify]: Simplify 0 into 0
33.786 * [backup-simplify]: Simplify 0 into 0
33.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
33.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.788 * [backup-simplify]: Simplify (+ 0 0) into 0
33.788 * [backup-simplify]: Simplify (- 1) into -1
33.788 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.789 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
33.791 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
33.792 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
33.794 * [backup-simplify]: Simplify (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
33.795 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
33.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
33.797 * [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
33.797 * [backup-simplify]: Simplify (- 0) into 0
33.798 * [backup-simplify]: Simplify (+ 0 0) into 0
33.798 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
33.799 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.800 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.801 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.801 * [taylor]: Taking taylor expansion of 0 in k
33.801 * [backup-simplify]: Simplify 0 into 0
33.801 * [backup-simplify]: Simplify 0 into 0
33.801 * [backup-simplify]: Simplify 0 into 0
33.802 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
33.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.805 * [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
33.805 * [backup-simplify]: Simplify (+ 0 0) into 0
33.805 * [backup-simplify]: Simplify (- 0) into 0
33.805 * [backup-simplify]: Simplify (+ 0 0) into 0
33.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.808 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.810 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
33.813 * [backup-simplify]: Simplify (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))))
33.819 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* k 1)) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
33.819 * [backup-simplify]: Simplify (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) into (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k))))
33.819 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in (n k) around 0
33.819 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
33.819 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
33.819 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
33.819 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
33.819 * [taylor]: Taking taylor expansion of 1/8 in k
33.819 * [backup-simplify]: Simplify 1/8 into 1/8
33.819 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.819 * [taylor]: Taking taylor expansion of 1 in k
33.819 * [backup-simplify]: Simplify 1 into 1
33.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.819 * [taylor]: Taking taylor expansion of k in k
33.819 * [backup-simplify]: Simplify 0 into 0
33.820 * [backup-simplify]: Simplify 1 into 1
33.820 * [backup-simplify]: Simplify (/ 1 1) into 1
33.820 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
33.820 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
33.820 * [taylor]: Taking taylor expansion of 2 in k
33.820 * [backup-simplify]: Simplify 2 into 2
33.820 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.820 * [taylor]: Taking taylor expansion of PI in k
33.820 * [backup-simplify]: Simplify PI into PI
33.820 * [taylor]: Taking taylor expansion of n in k
33.820 * [backup-simplify]: Simplify n into n
33.820 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.820 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
33.820 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
33.820 * [backup-simplify]: Simplify (- 1) into -1
33.821 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.821 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
33.821 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
33.821 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
33.821 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
33.821 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.821 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.821 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
33.821 * [taylor]: Taking taylor expansion of 1/8 in n
33.821 * [backup-simplify]: Simplify 1/8 into 1/8
33.821 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.821 * [taylor]: Taking taylor expansion of 1 in n
33.821 * [backup-simplify]: Simplify 1 into 1
33.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.821 * [taylor]: Taking taylor expansion of k in n
33.821 * [backup-simplify]: Simplify k into k
33.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.821 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.821 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.821 * [taylor]: Taking taylor expansion of 2 in n
33.821 * [backup-simplify]: Simplify 2 into 2
33.821 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.821 * [taylor]: Taking taylor expansion of PI in n
33.821 * [backup-simplify]: Simplify PI into PI
33.821 * [taylor]: Taking taylor expansion of n in n
33.821 * [backup-simplify]: Simplify 0 into 0
33.821 * [backup-simplify]: Simplify 1 into 1
33.822 * [backup-simplify]: Simplify (/ PI 1) into PI
33.822 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.823 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.823 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.823 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.823 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
33.824 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.824 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.825 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.825 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
33.825 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
33.825 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
33.825 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
33.825 * [taylor]: Taking taylor expansion of 1/8 in n
33.825 * [backup-simplify]: Simplify 1/8 into 1/8
33.825 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
33.825 * [taylor]: Taking taylor expansion of 1 in n
33.825 * [backup-simplify]: Simplify 1 into 1
33.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.825 * [taylor]: Taking taylor expansion of k in n
33.825 * [backup-simplify]: Simplify k into k
33.825 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.825 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
33.825 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
33.825 * [taylor]: Taking taylor expansion of 2 in n
33.825 * [backup-simplify]: Simplify 2 into 2
33.825 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.825 * [taylor]: Taking taylor expansion of PI in n
33.825 * [backup-simplify]: Simplify PI into PI
33.825 * [taylor]: Taking taylor expansion of n in n
33.825 * [backup-simplify]: Simplify 0 into 0
33.825 * [backup-simplify]: Simplify 1 into 1
33.826 * [backup-simplify]: Simplify (/ PI 1) into PI
33.826 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.827 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.827 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
33.827 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
33.827 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
33.828 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.828 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
33.829 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.829 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
33.829 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
33.829 * [taylor]: Taking taylor expansion of 1/8 in k
33.829 * [backup-simplify]: Simplify 1/8 into 1/8
33.829 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
33.829 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
33.829 * [taylor]: Taking taylor expansion of 1 in k
33.829 * [backup-simplify]: Simplify 1 into 1
33.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.829 * [taylor]: Taking taylor expansion of k in k
33.829 * [backup-simplify]: Simplify 0 into 0
33.829 * [backup-simplify]: Simplify 1 into 1
33.830 * [backup-simplify]: Simplify (/ 1 1) into 1
33.830 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
33.830 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.830 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.830 * [taylor]: Taking taylor expansion of 2 in k
33.830 * [backup-simplify]: Simplify 2 into 2
33.830 * [taylor]: Taking taylor expansion of PI in k
33.830 * [backup-simplify]: Simplify PI into PI
33.830 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.831 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.831 * [taylor]: Taking taylor expansion of (log n) in k
33.831 * [taylor]: Taking taylor expansion of n in k
33.831 * [backup-simplify]: Simplify n into n
33.831 * [backup-simplify]: Simplify (log n) into (log n)
33.831 * [backup-simplify]: Simplify (- 1) into -1
33.831 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.831 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.832 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
33.832 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
33.833 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
33.834 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.834 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
33.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.836 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.837 * [backup-simplify]: Simplify (- 0) into 0
33.837 * [backup-simplify]: Simplify (+ 0 0) into 0
33.837 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
33.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.839 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
33.840 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.840 * [taylor]: Taking taylor expansion of 0 in k
33.840 * [backup-simplify]: Simplify 0 into 0
33.840 * [backup-simplify]: Simplify 0 into 0
33.840 * [backup-simplify]: Simplify 0 into 0
33.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.841 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.847 * [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
33.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.848 * [backup-simplify]: Simplify (- 0) into 0
33.848 * [backup-simplify]: Simplify (+ 0 0) into 0
33.849 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
33.850 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.851 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
33.852 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.852 * [taylor]: Taking taylor expansion of 0 in k
33.852 * [backup-simplify]: Simplify 0 into 0
33.852 * [backup-simplify]: Simplify 0 into 0
33.852 * [backup-simplify]: Simplify 0 into 0
33.852 * [backup-simplify]: Simplify 0 into 0
33.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.857 * [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
33.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.857 * [backup-simplify]: Simplify (- 0) into 0
33.857 * [backup-simplify]: Simplify (+ 0 0) into 0
33.858 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
33.859 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
33.860 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
33.862 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.862 * [taylor]: Taking taylor expansion of 0 in k
33.862 * [backup-simplify]: Simplify 0 into 0
33.862 * [backup-simplify]: Simplify 0 into 0
33.862 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
33.863 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) into (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1)))
33.863 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in (n k) around 0
33.863 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
33.863 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
33.863 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
33.863 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
33.863 * [taylor]: Taking taylor expansion of 1/8 in k
33.863 * [backup-simplify]: Simplify 1/8 into 1/8
33.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.863 * [taylor]: Taking taylor expansion of k in k
33.863 * [backup-simplify]: Simplify 0 into 0
33.863 * [backup-simplify]: Simplify 1 into 1
33.863 * [backup-simplify]: Simplify (/ 1 1) into 1
33.863 * [taylor]: Taking taylor expansion of 1 in k
33.863 * [backup-simplify]: Simplify 1 into 1
33.863 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
33.863 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
33.863 * [taylor]: Taking taylor expansion of -2 in k
33.863 * [backup-simplify]: Simplify -2 into -2
33.863 * [taylor]: Taking taylor expansion of (/ PI n) in k
33.863 * [taylor]: Taking taylor expansion of PI in k
33.863 * [backup-simplify]: Simplify PI into PI
33.863 * [taylor]: Taking taylor expansion of n in k
33.863 * [backup-simplify]: Simplify n into n
33.863 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
33.863 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
33.864 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
33.864 * [backup-simplify]: Simplify (+ 1 0) into 1
33.864 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
33.864 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
33.864 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
33.864 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
33.864 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.864 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.864 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
33.864 * [taylor]: Taking taylor expansion of 1/8 in n
33.864 * [backup-simplify]: Simplify 1/8 into 1/8
33.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.864 * [taylor]: Taking taylor expansion of k in n
33.864 * [backup-simplify]: Simplify k into k
33.865 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.865 * [taylor]: Taking taylor expansion of 1 in n
33.865 * [backup-simplify]: Simplify 1 into 1
33.865 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.865 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.865 * [taylor]: Taking taylor expansion of -2 in n
33.865 * [backup-simplify]: Simplify -2 into -2
33.865 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.865 * [taylor]: Taking taylor expansion of PI in n
33.865 * [backup-simplify]: Simplify PI into PI
33.865 * [taylor]: Taking taylor expansion of n in n
33.865 * [backup-simplify]: Simplify 0 into 0
33.865 * [backup-simplify]: Simplify 1 into 1
33.865 * [backup-simplify]: Simplify (/ PI 1) into PI
33.865 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.866 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.866 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.866 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
33.867 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.868 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.868 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.868 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
33.869 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
33.869 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
33.869 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
33.869 * [taylor]: Taking taylor expansion of 1/8 in n
33.869 * [backup-simplify]: Simplify 1/8 into 1/8
33.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
33.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n
33.869 * [taylor]: Taking taylor expansion of k in n
33.869 * [backup-simplify]: Simplify k into k
33.869 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
33.869 * [taylor]: Taking taylor expansion of 1 in n
33.869 * [backup-simplify]: Simplify 1 into 1
33.869 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
33.869 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
33.869 * [taylor]: Taking taylor expansion of -2 in n
33.869 * [backup-simplify]: Simplify -2 into -2
33.869 * [taylor]: Taking taylor expansion of (/ PI n) in n
33.869 * [taylor]: Taking taylor expansion of PI in n
33.869 * [backup-simplify]: Simplify PI into PI
33.869 * [taylor]: Taking taylor expansion of n in n
33.869 * [backup-simplify]: Simplify 0 into 0
33.869 * [backup-simplify]: Simplify 1 into 1
33.869 * [backup-simplify]: Simplify (/ PI 1) into PI
33.869 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.870 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.870 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
33.870 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
33.871 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.872 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
33.872 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.872 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
33.872 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
33.872 * [taylor]: Taking taylor expansion of 1/8 in k
33.872 * [backup-simplify]: Simplify 1/8 into 1/8
33.872 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
33.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
33.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k
33.873 * [taylor]: Taking taylor expansion of k in k
33.873 * [backup-simplify]: Simplify 0 into 0
33.873 * [backup-simplify]: Simplify 1 into 1
33.873 * [backup-simplify]: Simplify (/ 1 1) into 1
33.873 * [taylor]: Taking taylor expansion of 1 in k
33.873 * [backup-simplify]: Simplify 1 into 1
33.873 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
33.873 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
33.873 * [taylor]: Taking taylor expansion of (* -2 PI) in k
33.873 * [taylor]: Taking taylor expansion of -2 in k
33.873 * [backup-simplify]: Simplify -2 into -2
33.873 * [taylor]: Taking taylor expansion of PI in k
33.873 * [backup-simplify]: Simplify PI into PI
33.873 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
33.874 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
33.874 * [taylor]: Taking taylor expansion of (log n) in k
33.874 * [taylor]: Taking taylor expansion of n in k
33.874 * [backup-simplify]: Simplify n into n
33.874 * [backup-simplify]: Simplify (log n) into (log n)
33.874 * [backup-simplify]: Simplify (+ 1 0) into 1
33.874 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
33.875 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
33.876 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
33.876 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
33.877 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.878 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
33.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
33.879 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
33.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
33.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
33.880 * [backup-simplify]: Simplify (+ 0 0) into 0
33.880 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
33.881 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.882 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
33.883 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.883 * [taylor]: Taking taylor expansion of 0 in k
33.883 * [backup-simplify]: Simplify 0 into 0
33.883 * [backup-simplify]: Simplify 0 into 0
33.883 * [backup-simplify]: Simplify 0 into 0
33.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.884 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
33.886 * [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
33.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.886 * [backup-simplify]: Simplify (+ 0 0) into 0
33.887 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
33.889 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.890 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
33.893 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.893 * [taylor]: Taking taylor expansion of 0 in k
33.893 * [backup-simplify]: Simplify 0 into 0
33.893 * [backup-simplify]: Simplify 0 into 0
33.893 * [backup-simplify]: Simplify 0 into 0
33.893 * [backup-simplify]: Simplify 0 into 0
33.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
33.895 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
33.901 * [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
33.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
33.902 * [backup-simplify]: Simplify (+ 0 0) into 0
33.903 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
33.905 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
33.906 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
33.909 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
33.909 * [taylor]: Taking taylor expansion of 0 in k
33.909 * [backup-simplify]: Simplify 0 into 0
33.909 * [backup-simplify]: Simplify 0 into 0
33.911 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
33.911 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
33.912 * [backup-simplify]: Simplify (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) into (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2)
33.912 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in (n k) around 0
33.912 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in k
33.912 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in k
33.912 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in k
33.912 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in k
33.912 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in k
33.912 * [taylor]: Taking taylor expansion of 1/8 in k
33.912 * [backup-simplify]: Simplify 1/8 into 1/8
33.912 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.912 * [taylor]: Taking taylor expansion of 1 in k
33.912 * [backup-simplify]: Simplify 1 into 1
33.912 * [taylor]: Taking taylor expansion of k in k
33.912 * [backup-simplify]: Simplify 0 into 0
33.912 * [backup-simplify]: Simplify 1 into 1
33.912 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
33.912 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
33.912 * [taylor]: Taking taylor expansion of 2 in k
33.912 * [backup-simplify]: Simplify 2 into 2
33.913 * [taylor]: Taking taylor expansion of (* n PI) in k
33.913 * [taylor]: Taking taylor expansion of n in k
33.913 * [backup-simplify]: Simplify n into n
33.913 * [taylor]: Taking taylor expansion of PI in k
33.913 * [backup-simplify]: Simplify PI into PI
33.913 * [backup-simplify]: Simplify (* n PI) into (* n PI)
33.913 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
33.913 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
33.913 * [backup-simplify]: Simplify (- 0) into 0
33.914 * [backup-simplify]: Simplify (+ 1 0) into 1
33.914 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
33.914 * [backup-simplify]: Simplify (* 1/8 (log (* 2 (* n PI)))) into (* 1/8 (log (* 2 (* n PI))))
33.914 * [backup-simplify]: Simplify (exp (* 1/8 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/8)
33.914 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in n
33.914 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.914 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.915 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.915 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.915 * [taylor]: Taking taylor expansion of 1/8 in n
33.915 * [backup-simplify]: Simplify 1/8 into 1/8
33.915 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.915 * [taylor]: Taking taylor expansion of 1 in n
33.915 * [backup-simplify]: Simplify 1 into 1
33.915 * [taylor]: Taking taylor expansion of k in n
33.915 * [backup-simplify]: Simplify k into k
33.915 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.915 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.915 * [taylor]: Taking taylor expansion of 2 in n
33.915 * [backup-simplify]: Simplify 2 into 2
33.915 * [taylor]: Taking taylor expansion of (* n PI) in n
33.915 * [taylor]: Taking taylor expansion of n in n
33.915 * [backup-simplify]: Simplify 0 into 0
33.915 * [backup-simplify]: Simplify 1 into 1
33.915 * [taylor]: Taking taylor expansion of PI in n
33.915 * [backup-simplify]: Simplify PI into PI
33.915 * [backup-simplify]: Simplify (* 0 PI) into 0
33.916 * [backup-simplify]: Simplify (* 2 0) into 0
33.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.919 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.921 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.921 * [backup-simplify]: Simplify (- k) into (- k)
33.921 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.921 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.922 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.923 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.924 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.924 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) 2) in n
33.924 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/8 (- 1 k))) in n
33.924 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 k)) (log (* 2 (* n PI))))) in n
33.924 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 k)) (log (* 2 (* n PI)))) in n
33.924 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 k)) in n
33.924 * [taylor]: Taking taylor expansion of 1/8 in n
33.924 * [backup-simplify]: Simplify 1/8 into 1/8
33.924 * [taylor]: Taking taylor expansion of (- 1 k) in n
33.924 * [taylor]: Taking taylor expansion of 1 in n
33.924 * [backup-simplify]: Simplify 1 into 1
33.924 * [taylor]: Taking taylor expansion of k in n
33.924 * [backup-simplify]: Simplify k into k
33.924 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
33.924 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
33.924 * [taylor]: Taking taylor expansion of 2 in n
33.924 * [backup-simplify]: Simplify 2 into 2
33.924 * [taylor]: Taking taylor expansion of (* n PI) in n
33.924 * [taylor]: Taking taylor expansion of n in n
33.924 * [backup-simplify]: Simplify 0 into 0
33.924 * [backup-simplify]: Simplify 1 into 1
33.924 * [taylor]: Taking taylor expansion of PI in n
33.924 * [backup-simplify]: Simplify PI into PI
33.924 * [backup-simplify]: Simplify (* 0 PI) into 0
33.925 * [backup-simplify]: Simplify (* 2 0) into 0
33.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
33.927 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
33.927 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.927 * [backup-simplify]: Simplify (- k) into (- k)
33.927 * [backup-simplify]: Simplify (+ 1 (- k)) into (- 1 k)
33.927 * [backup-simplify]: Simplify (* 1/8 (- 1 k)) into (* 1/8 (- 1 k))
33.928 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.929 * [backup-simplify]: Simplify (* (* 1/8 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
33.929 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))
33.931 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))) into (pow (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2)
33.931 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 2) in k
33.931 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
33.931 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
33.931 * [taylor]: Taking taylor expansion of 1/8 in k
33.931 * [backup-simplify]: Simplify 1/8 into 1/8
33.931 * [taylor]: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
33.931 * [taylor]: Taking taylor expansion of (- 1 k) in k
33.931 * [taylor]: Taking taylor expansion of 1 in k
33.931 * [backup-simplify]: Simplify 1 into 1
33.931 * [taylor]: Taking taylor expansion of k in k
33.931 * [backup-simplify]: Simplify 0 into 0
33.931 * [backup-simplify]: Simplify 1 into 1
33.931 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
33.931 * [taylor]: Taking taylor expansion of (log n) in k
33.931 * [taylor]: Taking taylor expansion of n in k
33.931 * [backup-simplify]: Simplify n into n
33.931 * [backup-simplify]: Simplify (log n) into (log n)
33.931 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
33.931 * [taylor]: Taking taylor expansion of (* 2 PI) in k
33.931 * [taylor]: Taking taylor expansion of 2 in k
33.931 * [backup-simplify]: Simplify 2 into 2
33.931 * [taylor]: Taking taylor expansion of PI in k
33.931 * [backup-simplify]: Simplify PI into PI
33.932 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
33.932 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
33.932 * [backup-simplify]: Simplify (- 0) into 0
33.933 * [backup-simplify]: Simplify (+ 1 0) into 1
33.933 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.934 * [backup-simplify]: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
33.934 * [backup-simplify]: Simplify (* 1/8 (+ (log n) (log (* 2 PI)))) into (* 1/8 (+ (log n) (log (* 2 PI))))
33.935 * [backup-simplify]: Simplify (exp (* 1/8 (+ (log n) (log (* 2 PI))))) into (exp (* 1/8 (+ (log n) (log (* 2 PI)))))
33.936 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) into (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2)
33.937 * [backup-simplify]: Simplify (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) into (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2)
33.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
33.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
33.939 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.939 * [backup-simplify]: Simplify (- 0) into 0
33.940 * [backup-simplify]: Simplify (+ 0 0) into 0
33.940 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 k))) into 0
33.941 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.941 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
33.943 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
33.944 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (* 0 (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))))) into 0
33.944 * [taylor]: Taking taylor expansion of 0 in k
33.944 * [backup-simplify]: Simplify 0 into 0
33.944 * [backup-simplify]: Simplify 0 into 0
33.944 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
33.945 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
33.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
33.946 * [backup-simplify]: Simplify (+ 0 0) into 0
33.946 * [backup-simplify]: Simplify (- 1) into -1
33.951 * [backup-simplify]: Simplify (+ 0 -1) into -1
33.952 * [backup-simplify]: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
33.954 * [backup-simplify]: Simplify (+ (* 1/8 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))))
33.955 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))
33.960 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) into (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n)))))
33.963 * [backup-simplify]: Simplify (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n))))) into (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n)))))
33.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
33.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
33.966 * [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
33.966 * [backup-simplify]: Simplify (- 0) into 0
33.967 * [backup-simplify]: Simplify (+ 0 0) into 0
33.967 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
33.968 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
33.969 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.971 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
33.972 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 k) (+ (log n) (log (* 2 PI))))))))) into 0
33.972 * [taylor]: Taking taylor expansion of 0 in k
33.972 * [backup-simplify]: Simplify 0 into 0
33.973 * [backup-simplify]: Simplify 0 into 0
33.973 * [backup-simplify]: Simplify 0 into 0
33.974 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
33.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
33.976 * [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
33.976 * [backup-simplify]: Simplify (+ 0 0) into 0
33.976 * [backup-simplify]: Simplify (- 0) into 0
33.977 * [backup-simplify]: Simplify (+ 0 0) into 0
33.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.979 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
33.982 * [backup-simplify]: Simplify (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))
34.000 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (+ (* (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI))))))) (* -1 (* (+ (* 1/8 (log n)) (* 1/8 (log (* 2 PI)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) (* (* (+ (* 1/128 (pow (log n) 2)) (+ (* 1/64 (* (log n) (log (* 2 PI)))) (* 1/128 (pow (log (* 2 PI)) 2)))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))) (exp (* 1/8 (+ (log n) (log (* 2 PI)))))))) into (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2)))))
34.007 * [backup-simplify]: Simplify (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))))) into (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2)))))
34.017 * [backup-simplify]: Simplify (+ (* (+ (* 1/16 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (log (* 2 PI))))) (+ (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log (* 2 PI)) 2))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow (log n) 2))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log (* 2 PI)))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (log n))))) (* k 1)) (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2))) into (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k)))))
34.019 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2)) (pow (* (/ 1 n) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 k)) 2) 2) 2))) into (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2)
34.019 * [approximate]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in (n k) around 0
34.019 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in k
34.019 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in k
34.019 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
34.019 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
34.019 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in k
34.019 * [taylor]: Taking taylor expansion of 1/8 in k
34.019 * [backup-simplify]: Simplify 1/8 into 1/8
34.019 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
34.019 * [taylor]: Taking taylor expansion of 1 in k
34.019 * [backup-simplify]: Simplify 1 into 1
34.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.019 * [taylor]: Taking taylor expansion of k in k
34.019 * [backup-simplify]: Simplify 0 into 0
34.019 * [backup-simplify]: Simplify 1 into 1
34.020 * [backup-simplify]: Simplify (/ 1 1) into 1
34.020 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
34.020 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
34.020 * [taylor]: Taking taylor expansion of 2 in k
34.020 * [backup-simplify]: Simplify 2 into 2
34.020 * [taylor]: Taking taylor expansion of (/ PI n) in k
34.020 * [taylor]: Taking taylor expansion of PI in k
34.020 * [backup-simplify]: Simplify PI into PI
34.020 * [taylor]: Taking taylor expansion of n in k
34.020 * [backup-simplify]: Simplify n into n
34.020 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
34.020 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
34.020 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
34.020 * [backup-simplify]: Simplify (- 1) into -1
34.021 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.021 * [backup-simplify]: Simplify (* 1/8 -1) into -1/8
34.021 * [backup-simplify]: Simplify (* -1/8 (log (* 2 (/ PI n)))) into (* -1/8 (log (* 2 (/ PI n))))
34.021 * [backup-simplify]: Simplify (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
34.021 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in n
34.022 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
34.022 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
34.022 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
34.022 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
34.022 * [taylor]: Taking taylor expansion of 1/8 in n
34.022 * [backup-simplify]: Simplify 1/8 into 1/8
34.022 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
34.022 * [taylor]: Taking taylor expansion of 1 in n
34.022 * [backup-simplify]: Simplify 1 into 1
34.022 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.022 * [taylor]: Taking taylor expansion of k in n
34.022 * [backup-simplify]: Simplify k into k
34.022 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.022 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
34.022 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
34.022 * [taylor]: Taking taylor expansion of 2 in n
34.022 * [backup-simplify]: Simplify 2 into 2
34.022 * [taylor]: Taking taylor expansion of (/ PI n) in n
34.022 * [taylor]: Taking taylor expansion of PI in n
34.022 * [backup-simplify]: Simplify PI into PI
34.022 * [taylor]: Taking taylor expansion of n in n
34.022 * [backup-simplify]: Simplify 0 into 0
34.022 * [backup-simplify]: Simplify 1 into 1
34.023 * [backup-simplify]: Simplify (/ PI 1) into PI
34.023 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
34.024 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
34.024 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
34.024 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
34.024 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
34.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
34.026 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
34.027 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
34.027 * [taylor]: Taking taylor expansion of (pow (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) 2) in n
34.027 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/8 (- 1 (/ 1 k)))) in n
34.027 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
34.027 * [taylor]: Taking taylor expansion of (* (* 1/8 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
34.027 * [taylor]: Taking taylor expansion of (* 1/8 (- 1 (/ 1 k))) in n
34.027 * [taylor]: Taking taylor expansion of 1/8 in n
34.028 * [backup-simplify]: Simplify 1/8 into 1/8
34.028 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n
34.028 * [taylor]: Taking taylor expansion of 1 in n
34.028 * [backup-simplify]: Simplify 1 into 1
34.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.028 * [taylor]: Taking taylor expansion of k in n
34.028 * [backup-simplify]: Simplify k into k
34.028 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.028 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
34.028 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
34.028 * [taylor]: Taking taylor expansion of 2 in n
34.028 * [backup-simplify]: Simplify 2 into 2
34.028 * [taylor]: Taking taylor expansion of (/ PI n) in n
34.028 * [taylor]: Taking taylor expansion of PI in n
34.028 * [backup-simplify]: Simplify PI into PI
34.028 * [taylor]: Taking taylor expansion of n in n
34.028 * [backup-simplify]: Simplify 0 into 0
34.028 * [backup-simplify]: Simplify 1 into 1
34.028 * [backup-simplify]: Simplify (/ PI 1) into PI
34.029 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
34.030 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
34.030 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k))
34.030 * [backup-simplify]: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
34.030 * [backup-simplify]: Simplify (* 1/8 (- 1 (/ 1 k))) into (* 1/8 (- 1 (/ 1 k)))
34.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
34.032 * [backup-simplify]: Simplify (* (* 1/8 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
34.033 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
34.035 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
34.035 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) in k
34.035 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
34.035 * [taylor]: Taking taylor expansion of (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
34.035 * [taylor]: Taking taylor expansion of 1/8 in k
34.035 * [backup-simplify]: Simplify 1/8 into 1/8
34.035 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
34.035 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k
34.035 * [taylor]: Taking taylor expansion of 1 in k
34.035 * [backup-simplify]: Simplify 1 into 1
34.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.036 * [taylor]: Taking taylor expansion of k in k
34.036 * [backup-simplify]: Simplify 0 into 0
34.036 * [backup-simplify]: Simplify 1 into 1
34.036 * [backup-simplify]: Simplify (/ 1 1) into 1
34.036 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
34.036 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
34.036 * [taylor]: Taking taylor expansion of (* 2 PI) in k
34.036 * [taylor]: Taking taylor expansion of 2 in k
34.036 * [backup-simplify]: Simplify 2 into 2
34.036 * [taylor]: Taking taylor expansion of PI in k
34.036 * [backup-simplify]: Simplify PI into PI
34.037 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
34.037 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
34.037 * [taylor]: Taking taylor expansion of (log n) in k
34.037 * [taylor]: Taking taylor expansion of n in k
34.037 * [backup-simplify]: Simplify n into n
34.038 * [backup-simplify]: Simplify (log n) into (log n)
34.038 * [backup-simplify]: Simplify (- 1) into -1
34.038 * [backup-simplify]: Simplify (+ 0 -1) into -1
34.038 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
34.039 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
34.040 * [backup-simplify]: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
34.041 * [backup-simplify]: Simplify (* 1/8 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/8 (- (log (* 2 PI)) (log n)))
34.042 * [backup-simplify]: Simplify (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
34.044 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
34.045 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2) into (pow (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 2)
34.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
34.047 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
34.048 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
34.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
34.049 * [backup-simplify]: Simplify (- 0) into 0
34.049 * [backup-simplify]: Simplify (+ 0 0) into 0
34.049 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- 1 (/ 1 k)))) into 0
34.051 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
34.052 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
34.053 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
34.055 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
34.056 * [taylor]: Taking taylor expansion of 0 in k
34.056 * [backup-simplify]: Simplify 0 into 0
34.056 * [backup-simplify]: Simplify 0 into 0
34.058 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
34.058 * [backup-simplify]: Simplify 0 into 0
34.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
34.068 * [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
34.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.069 * [backup-simplify]: Simplify (- 0) into 0
34.069 * [backup-simplify]: Simplify (+ 0 0) into 0
34.070 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
34.071 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
34.073 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
34.075 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
34.077 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
34.077 * [taylor]: Taking taylor expansion of 0 in k
34.077 * [backup-simplify]: Simplify 0 into 0
34.077 * [backup-simplify]: Simplify 0 into 0
34.077 * [backup-simplify]: Simplify 0 into 0
34.080 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))) into 0
34.080 * [backup-simplify]: Simplify 0 into 0
34.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.082 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
34.086 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
34.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.087 * [backup-simplify]: Simplify (- 0) into 0
34.087 * [backup-simplify]: Simplify (+ 0 0) into 0
34.088 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
34.090 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
34.091 * [backup-simplify]: Simplify (+ (* (* 1/8 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
34.094 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
34.096 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))))) into 0
34.096 * [taylor]: Taking taylor expansion of 0 in k
34.096 * [backup-simplify]: Simplify 0 into 0
34.096 * [backup-simplify]: Simplify 0 into 0
34.097 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) into (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
34.099 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2)) (pow (* (/ 1 (- n)) (* 2 PI)) (/ (/ (/ (- 1 (/ 1 (- k))) 2) 2) 2))) into (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2)
34.099 * [approximate]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in (n k) around 0
34.099 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in k
34.099 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in k
34.099 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
34.099 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
34.099 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in k
34.099 * [taylor]: Taking taylor expansion of 1/8 in k
34.099 * [backup-simplify]: Simplify 1/8 into 1/8
34.099 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
34.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.099 * [taylor]: Taking taylor expansion of k in k
34.099 * [backup-simplify]: Simplify 0 into 0
34.099 * [backup-simplify]: Simplify 1 into 1
34.099 * [backup-simplify]: Simplify (/ 1 1) into 1
34.099 * [taylor]: Taking taylor expansion of 1 in k
34.100 * [backup-simplify]: Simplify 1 into 1
34.100 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
34.100 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
34.100 * [taylor]: Taking taylor expansion of -2 in k
34.100 * [backup-simplify]: Simplify -2 into -2
34.100 * [taylor]: Taking taylor expansion of (/ PI n) in k
34.100 * [taylor]: Taking taylor expansion of PI in k
34.100 * [backup-simplify]: Simplify PI into PI
34.100 * [taylor]: Taking taylor expansion of n in k
34.100 * [backup-simplify]: Simplify n into n
34.100 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
34.100 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
34.100 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
34.100 * [backup-simplify]: Simplify (+ 1 0) into 1
34.101 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
34.101 * [backup-simplify]: Simplify (* 1/8 (log (* -2 (/ PI n)))) into (* 1/8 (log (* -2 (/ PI n))))
34.101 * [backup-simplify]: Simplify (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/8 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
34.101 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in n
34.101 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
34.101 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
34.101 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
34.101 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
34.101 * [taylor]: Taking taylor expansion of 1/8 in n
34.101 * [backup-simplify]: Simplify 1/8 into 1/8
34.101 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
34.101 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.101 * [taylor]: Taking taylor expansion of k in n
34.101 * [backup-simplify]: Simplify k into k
34.101 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.101 * [taylor]: Taking taylor expansion of 1 in n
34.102 * [backup-simplify]: Simplify 1 into 1
34.102 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
34.102 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
34.102 * [taylor]: Taking taylor expansion of -2 in n
34.102 * [backup-simplify]: Simplify -2 into -2
34.102 * [taylor]: Taking taylor expansion of (/ PI n) in n
34.102 * [taylor]: Taking taylor expansion of PI in n
34.102 * [backup-simplify]: Simplify PI into PI
34.102 * [taylor]: Taking taylor expansion of n in n
34.102 * [backup-simplify]: Simplify 0 into 0
34.102 * [backup-simplify]: Simplify 1 into 1
34.102 * [backup-simplify]: Simplify (/ PI 1) into PI
34.103 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
34.104 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
34.104 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
34.104 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
34.106 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
34.107 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
34.109 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
34.109 * [taylor]: Taking taylor expansion of (pow (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) 2) in n
34.109 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/8 (+ (/ 1 k) 1))) in n
34.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
34.109 * [taylor]: Taking taylor expansion of (* (* 1/8 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
34.109 * [taylor]: Taking taylor expansion of (* 1/8 (+ (/ 1 k) 1)) in n
34.109 * [taylor]: Taking taylor expansion of 1/8 in n
34.109 * [backup-simplify]: Simplify 1/8 into 1/8
34.109 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n
34.109 * [taylor]: Taking taylor expansion of (/ 1 k) in n
34.109 * [taylor]: Taking taylor expansion of k in n
34.109 * [backup-simplify]: Simplify k into k
34.109 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
34.109 * [taylor]: Taking taylor expansion of 1 in n
34.109 * [backup-simplify]: Simplify 1 into 1
34.109 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
34.109 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
34.109 * [taylor]: Taking taylor expansion of -2 in n
34.109 * [backup-simplify]: Simplify -2 into -2
34.109 * [taylor]: Taking taylor expansion of (/ PI n) in n
34.109 * [taylor]: Taking taylor expansion of PI in n
34.109 * [backup-simplify]: Simplify PI into PI
34.109 * [taylor]: Taking taylor expansion of n in n
34.109 * [backup-simplify]: Simplify 0 into 0
34.109 * [backup-simplify]: Simplify 1 into 1
34.110 * [backup-simplify]: Simplify (/ PI 1) into PI
34.110 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
34.111 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
34.112 * [backup-simplify]: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
34.112 * [backup-simplify]: Simplify (* 1/8 (+ (/ 1 k) 1)) into (* 1/8 (+ (/ 1 k) 1))
34.113 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
34.114 * [backup-simplify]: Simplify (* (* 1/8 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))
34.115 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
34.118 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
34.118 * [taylor]: Taking taylor expansion of (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) in k
34.118 * [taylor]: Taking taylor expansion of (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
34.118 * [taylor]: Taking taylor expansion of (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
34.118 * [taylor]: Taking taylor expansion of 1/8 in k
34.118 * [backup-simplify]: Simplify 1/8 into 1/8
34.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
34.118 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k
34.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k
34.118 * [taylor]: Taking taylor expansion of k in k
34.118 * [backup-simplify]: Simplify 0 into 0
34.118 * [backup-simplify]: Simplify 1 into 1
34.118 * [backup-simplify]: Simplify (/ 1 1) into 1
34.118 * [taylor]: Taking taylor expansion of 1 in k
34.118 * [backup-simplify]: Simplify 1 into 1
34.118 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
34.118 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
34.118 * [taylor]: Taking taylor expansion of (* -2 PI) in k
34.118 * [taylor]: Taking taylor expansion of -2 in k
34.118 * [backup-simplify]: Simplify -2 into -2
34.118 * [taylor]: Taking taylor expansion of PI in k
34.119 * [backup-simplify]: Simplify PI into PI
34.119 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
34.120 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
34.120 * [taylor]: Taking taylor expansion of (log n) in k
34.120 * [taylor]: Taking taylor expansion of n in k
34.120 * [backup-simplify]: Simplify n into n
34.120 * [backup-simplify]: Simplify (log n) into (log n)
34.121 * [backup-simplify]: Simplify (+ 1 0) into 1
34.121 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
34.122 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
34.123 * [backup-simplify]: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
34.124 * [backup-simplify]: Simplify (* 1/8 (- (log (* -2 PI)) (log n))) into (* 1/8 (- (log (* -2 PI)) (log n)))
34.125 * [backup-simplify]: Simplify (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
34.127 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
34.128 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2) into (pow (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 2)
34.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
34.130 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
34.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
34.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
34.132 * [backup-simplify]: Simplify (+ 0 0) into 0
34.132 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (+ (/ 1 k) 1))) into 0
34.133 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
34.134 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
34.136 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
34.138 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
34.138 * [taylor]: Taking taylor expansion of 0 in k
34.138 * [backup-simplify]: Simplify 0 into 0
34.138 * [backup-simplify]: Simplify 0 into 0
34.140 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
34.140 * [backup-simplify]: Simplify 0 into 0
34.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.141 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
34.143 * [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
34.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.143 * [backup-simplify]: Simplify (+ 0 0) into 0
34.144 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
34.144 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
34.145 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
34.147 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
34.148 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
34.148 * [taylor]: Taking taylor expansion of 0 in k
34.148 * [backup-simplify]: Simplify 0 into 0
34.148 * [backup-simplify]: Simplify 0 into 0
34.148 * [backup-simplify]: Simplify 0 into 0
34.150 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))) into 0
34.150 * [backup-simplify]: Simplify 0 into 0
34.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
34.151 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
34.154 * [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
34.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
34.155 * [backup-simplify]: Simplify (+ 0 0) into 0
34.155 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
34.156 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
34.157 * [backup-simplify]: Simplify (+ (* (* 1/8 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
34.159 * [backup-simplify]: Simplify (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
34.161 * [backup-simplify]: Simplify (+ (* (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/8 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))))) into 0
34.161 * [taylor]: Taking taylor expansion of 0 in k
34.161 * [backup-simplify]: Simplify 0 into 0
34.161 * [backup-simplify]: Simplify 0 into 0
34.162 * [backup-simplify]: Simplify (pow (exp (* 1/8 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) 2) into (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
34.162 * * * [progress]: simplifying candidates
34.162 * * * * [progress]: [ 1 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.162 * * * * [progress]: [ 2 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.162 * * * * [progress]: [ 3 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 4 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 5 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 6 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 7 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 8 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 9 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (* 1 (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 10 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (/ (pow (* n (* 2 PI)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ k 2) 2))))))>
34.162 * * * * [progress]: [ 11 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2)))) (cbrt (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 12 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))>
34.162 * * * * [progress]: [ 13 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))))>
34.162 * * * * [progress]: [ 14 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2))) (/ (cbrt (/ (- 1 k) 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 15 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1)) (/ (cbrt (/ (- 1 k) 2)) 2)))))>
34.163 * * * * [progress]: [ 16 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (- 1 k) 2)) (cbrt 2))))))>
34.163 * * * * [progress]: [ 17 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 18 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1)) (/ (sqrt (/ (- 1 k) 2)) 2)))))>
34.163 * * * * [progress]: [ 19 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
34.163 * * * * [progress]: [ 20 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 21 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2)))))>
34.163 * * * * [progress]: [ 22 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
34.163 * * * * [progress]: [ 23 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 24 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1)) (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2)))))>
34.163 * * * * [progress]: [ 25 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (- 1 k)) 2) (cbrt 2))))))>
34.163 * * * * [progress]: [ 26 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2))) (/ (/ (cbrt (- 1 k)) 2) (sqrt 2))))))>
34.163 * * * * [progress]: [ 27 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1)) (/ (/ (cbrt (- 1 k)) 2) 2)))))>
34.163 * * * * [progress]: [ 28 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2))))))>
34.163 * * * * [progress]: [ 29 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 30 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2)))))>
34.163 * * * * [progress]: [ 31 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2))))))>
34.163 * * * * [progress]: [ 32 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2))))))>
34.163 * * * * [progress]: [ 33 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2)))))>
34.163 * * * * [progress]: [ 34 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (- 1 k)) 2) (cbrt 2))))))>
34.164 * * * * [progress]: [ 35 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2))) (/ (/ (sqrt (- 1 k)) 2) (sqrt 2))))))>
34.164 * * * * [progress]: [ 36 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1)) (/ (/ (sqrt (- 1 k)) 2) 2)))))>
34.164 * * * * [progress]: [ 37 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
34.164 * * * * [progress]: [ 38 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
34.164 * * * * [progress]: [ 39 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
34.164 * * * * [progress]: [ 40 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
34.164 * * * * [progress]: [ 41 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
34.164 * * * * [progress]: [ 42 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
34.164 * * * * [progress]: [ 43 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
34.164 * * * * [progress]: [ 44 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
34.164 * * * * [progress]: [ 45 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
34.164 * * * * [progress]: [ 46 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2))))))>
34.164 * * * * [progress]: [ 47 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2))))))>
34.164 * * * * [progress]: [ 48 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2)))))>
34.164 * * * * [progress]: [ 49 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2))))))>
34.164 * * * * [progress]: [ 50 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2))))))>
34.164 * * * * [progress]: [ 51 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1)) (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2)))))>
34.164 * * * * [progress]: [ 52 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2))))))>
34.164 * * * * [progress]: [ 53 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2))) (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2))))))>
34.164 * * * * [progress]: [ 54 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1)) (/ (/ (- (sqrt 1) (sqrt k)) 2) 2)))))>
34.165 * * * * [progress]: [ 55 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2))))))>
34.165 * * * * [progress]: [ 56 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2))))))>
34.165 * * * * [progress]: [ 57 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2)))))>
34.165 * * * * [progress]: [ 58 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2))))))>
34.165 * * * * [progress]: [ 59 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2))) (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2))))))>
34.165 * * * * [progress]: [ 60 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1)) (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2)))))>
34.165 * * * * [progress]: [ 61 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 (sqrt k)) 2) (cbrt 2))))))>
34.165 * * * * [progress]: [ 62 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2))) (/ (/ (- 1 (sqrt k)) 2) (sqrt 2))))))>
34.165 * * * * [progress]: [ 63 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1)) (/ (/ (- 1 (sqrt k)) 2) 2)))))>
34.165 * * * * [progress]: [ 64 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (cbrt 2)) (cbrt 2))))))>
34.165 * * * * [progress]: [ 65 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (- 1 k) (cbrt 2)) (sqrt 2))))))>
34.165 * * * * [progress]: [ 66 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (- 1 k) (cbrt 2)) 2)))))>
34.165 * * * * [progress]: [ 67 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) (sqrt 2)) (cbrt 2))))))>
34.165 * * * * [progress]: [ 68 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))))))>
34.165 * * * * [progress]: [ 69 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (- 1 k) (sqrt 2)) 2)))))>
34.165 * * * * [progress]: [ 70 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
34.165 * * * * [progress]: [ 71 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
34.165 * * * * [progress]: [ 72 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (- 1 k) 2) 2)))))>
34.165 * * * * [progress]: [ 73 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (- 1 k) 2) (cbrt 2))))))>
34.165 * * * * [progress]: [ 74 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (- 1 k) 2) (sqrt 2))))))>
34.165 * * * * [progress]: [ 75 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (- 1 k) 2) 2)))))>
34.166 * * * * [progress]: [ 76 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))))))>
34.166 * * * * [progress]: [ 77 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2))) (/ (/ 1 2) (sqrt 2))))))>
34.166 * * * * [progress]: [ 78 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 1)) (/ (/ 1 2) 2)))))>
34.166 * * * * [progress]: [ 79 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) 1) (/ (/ (- 1 k) 2) 2)))))>
34.166 * * * * [progress]: [ 80 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (/ 1 2)))))>
34.166 * * * * [progress]: [ 81 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (pow n (/ (/ (- 1 k) 2) 2)) (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))))))>
34.166 * * * * [progress]: [ 82 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) 1))))>
34.166 * * * * [progress]: [ 83 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 84 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (log (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 85 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 86 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 87 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 88 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* 1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))))>
34.166 * * * * [progress]: [ 89 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))))>
34.166 * * * * [progress]: [ 90 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))))>
34.166 * * * * [progress]: [ 91 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.166 * * * * [progress]: [ 92 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.166 * * * * [progress]: [ 93 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.166 * * * * [progress]: [ 94 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 95 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 96 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 97 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 98 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 99 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 100 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (/ (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 101 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 102 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 103 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 104 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 105 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1)) (/ (cbrt (/ (/ (- 1 k) 2) 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 106 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.167 * * * * [progress]: [ 107 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 108 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 109 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 110 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 111 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 112 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 113 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 114 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 115 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 116 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 117 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 118 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 119 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.168 * * * * [progress]: [ 120 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 121 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 122 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 123 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 124 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 125 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 126 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 127 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 128 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 129 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 130 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 131 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 132 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.169 * * * * [progress]: [ 133 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 134 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 135 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 136 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 137 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 138 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 139 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 140 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.170 * * * * [progress]: [ 141 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 142 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 143 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 144 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 145 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 146 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 147 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 148 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 149 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 150 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 151 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 152 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.171 * * * * [progress]: [ 153 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 154 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 155 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 156 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 157 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 158 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 159 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 160 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 161 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 162 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 163 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 164 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.172 * * * * [progress]: [ 165 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 166 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 167 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 168 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 169 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 170 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 171 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 172 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 173 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 174 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 175 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 176 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 177 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.173 * * * * [progress]: [ 178 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 179 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 180 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 181 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 182 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 183 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 184 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 185 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 186 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 187 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 188 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 189 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.174 * * * * [progress]: [ 190 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 191 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 192 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 193 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 194 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 195 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 196 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 197 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 198 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 199 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 200 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 201 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.175 * * * * [progress]: [ 202 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 203 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 204 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 205 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 206 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 207 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 208 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 209 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 210 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 211 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 212 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 213 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.176 * * * * [progress]: [ 214 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 215 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 216 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 217 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 218 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 219 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 220 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 221 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 222 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 223 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 224 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 225 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.177 * * * * [progress]: [ 226 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 227 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 228 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 229 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 230 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 231 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 232 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 233 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 234 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 235 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 236 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 237 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.178 * * * * [progress]: [ 238 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 239 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 240 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 241 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 242 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 243 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 244 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 245 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 246 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 247 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 248 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.179 * * * * [progress]: [ 249 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 250 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 251 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 252 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 253 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 254 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 255 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 256 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 257 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 258 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 259 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 260 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.180 * * * * [progress]: [ 261 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 262 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 263 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 264 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 265 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 266 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 267 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 268 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 269 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 270 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 271 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 272 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.181 * * * * [progress]: [ 273 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 274 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 275 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 276 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 277 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 278 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 279 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 280 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 281 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 282 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 283 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 284 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.182 * * * * [progress]: [ 285 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 286 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 287 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 288 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 289 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 290 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 291 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 292 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 293 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 294 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 295 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 296 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 297 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.183 * * * * [progress]: [ 298 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (cbrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 299 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ 1 2) (cbrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 300 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ 1 2) (cbrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 301 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (sqrt 2)) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 302 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (/ (/ 1 2) (sqrt 2)) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 303 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) 1)) (/ (/ (/ 1 2) (sqrt 2)) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 304 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 305 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (sqrt 2))) (/ (/ (/ 1 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 306 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) 1)) (/ (/ (/ 1 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 307 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 308 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 309 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 310 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.184 * * * * [progress]: [ 311 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (/ 1 2) (sqrt 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 312 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 1)) (/ (/ 1 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 313 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) 1) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 314 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 315 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 316 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 317 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 318 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 319 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 320 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 321 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 322 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* 1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 323 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 324 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.185 * * * * [progress]: [ 325 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (log1p (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 326 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (expm1 (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 327 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 328 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 329 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 330 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 331 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 332 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 333 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 334 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 335 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 336 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 337 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2)))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.186 * * * * [progress]: [ 338 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2))) (/ (cbrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 339 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1)) (/ (cbrt (/ (/ (- 1 k) 2) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 340 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2)))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 341 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 342 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 343 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 344 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 345 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 346 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 347 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 348 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 349 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.187 * * * * [progress]: [ 350 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (sqrt 2))) (/ (/ (cbrt (/ (- 1 k) 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 351 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) 1)) (/ (/ (cbrt (/ (- 1 k) 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 352 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 353 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 354 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 355 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 356 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 357 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 358 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 359 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2))) (/ (/ (sqrt (/ (- 1 k) 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 360 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) 1)) (/ (/ (sqrt (/ (- 1 k) 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.188 * * * * [progress]: [ 361 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 362 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 363 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 364 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 365 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 366 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 367 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 368 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 369 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 370 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.189 * * * * [progress]: [ 371 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.190 * * * * [progress]: [ 372 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.190 * * * * [progress]: [ 373 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.190 * * * * [progress]: [ 374 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.190 * * * * [progress]: [ 375 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.190 * * * * [progress]: [ 376 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 377 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 378 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 379 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 380 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 381 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 382 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 383 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 384 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 385 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.191 * * * * [progress]: [ 386 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) (sqrt 2))) (/ (/ (/ (cbrt (- 1 k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 387 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1) 1)) (/ (/ (/ (cbrt (- 1 k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 388 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 389 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 390 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 391 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 392 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 393 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 394 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 395 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 396 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.192 * * * * [progress]: [ 397 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 398 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 399 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 400 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 401 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 402 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 403 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 404 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 405 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 406 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 407 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 408 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.193 * * * * [progress]: [ 409 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 410 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 411 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 412 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 413 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) (sqrt 2))) (/ (/ (/ (sqrt (- 1 k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 414 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (sqrt (- 1 k)) 1) 1) 1)) (/ (/ (/ (sqrt (- 1 k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 415 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 416 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 417 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 418 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 419 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 420 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 421 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.194 * * * * [progress]: [ 422 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 423 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 424 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 425 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 426 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 427 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 428 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 429 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 430 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 431 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 432 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 433 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.195 * * * * [progress]: [ 434 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 435 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 436 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 437 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 438 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 439 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 440 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 441 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 442 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 443 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 444 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 445 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.196 * * * * [progress]: [ 446 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 447 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 448 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 449 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 450 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 451 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 452 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 453 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 454 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 455 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 456 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.197 * * * * [progress]: [ 457 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 458 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 459 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 460 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 461 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 462 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 463 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 464 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 465 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 466 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 467 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 468 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1) 1)) (/ (/ (/ (- (sqrt 1) (sqrt k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.198 * * * * [progress]: [ 469 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 470 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 471 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 472 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 473 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 474 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 475 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 476 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 477 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 478 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 479 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 480 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.199 * * * * [progress]: [ 481 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 482 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 483 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 484 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 485 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 486 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 487 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 488 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 489 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 490 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 491 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.200 * * * * [progress]: [ 492 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 493 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 494 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) (sqrt 2))) (/ (/ (/ (- 1 (sqrt k)) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 495 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (+ 1 (sqrt k)) 1) 1) 1)) (/ (/ (/ (- 1 (sqrt k)) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 496 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 497 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 498 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 499 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 500 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 501 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 502 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 503 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (cbrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.201 * * * * [progress]: [ 504 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) 1)) (/ (/ (/ (- 1 k) (cbrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 505 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 506 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 507 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 508 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 509 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 510 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 511 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 512 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) (sqrt 2))) (/ (/ (/ (- 1 k) (sqrt 2)) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 513 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) 1) 1)) (/ (/ (/ (- 1 k) (sqrt 2)) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 514 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 515 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 516 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.202 * * * * [progress]: [ 517 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 518 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 519 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 520 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 521 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 522 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ 1 1) 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 523 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 524 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 525 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ (- 1 k) 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 526 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 527 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2))) (/ (/ (/ (- 1 k) 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 528 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1)) (/ (/ (/ (- 1 k) 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 529 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 530 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 531 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ 1 1) 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.203 * * * * [progress]: [ 532 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (cbrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 533 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (/ (/ (/ 1 2) (cbrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 534 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 1)) (/ (/ (/ 1 2) (cbrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 535 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) (sqrt 2)) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 536 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2))) (/ (/ (/ 1 2) (sqrt 2)) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 537 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) 1)) (/ (/ (/ 1 2) (sqrt 2)) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 538 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ 1 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 539 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (sqrt 2))) (/ (/ (/ 1 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 540 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) 1)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 541 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2)))) (/ (/ (/ (- 1 k) 2) 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 542 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 (sqrt 2))) (/ (/ (/ (- 1 k) 2) 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 543 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ 1 1)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 544 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2)))) (/ (/ 1 2) (cbrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 545 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (sqrt 2))) (/ (/ 1 2) (sqrt 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 546 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 1)) (/ (/ 1 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.204 * * * * [progress]: [ 547 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) 1) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 548 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ 1 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 549 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 550 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 551 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 552 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 553 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 554 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 555 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 556 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 557 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 558 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (posit16->real (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 559 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 560 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 561 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (+ (/ (/ (/ (- 1 k) 2) 2) 2) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.205 * * * * [progress]: [ 562 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n (* 2 PI)) (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 563 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 564 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) 1) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 565 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 566 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 567 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 568 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 569 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 570 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 571 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 572 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 573 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 574 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.206 * * * * [progress]: [ 575 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 576 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 577 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 578 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 579 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 580 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 581 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 582 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 583 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 584 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 585 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 586 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 587 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 588 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.207 * * * * [progress]: [ 589 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 590 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 591 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 592 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 593 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 594 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 595 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 596 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 597 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 598 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 599 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 600 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 601 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 1) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.208 * * * * [progress]: [ 602 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 603 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 604 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 605 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 606 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 607 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (* 2 (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 608 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 609 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 610 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 611 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 612 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 613 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.218 * * * * [progress]: [ 614 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 615 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 616 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 617 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 618 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 619 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 620 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 621 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 622 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI))))))))))>
34.219 * * * * [progress]: [ 623 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))))))>
34.219 * * * * [progress]: [ 624 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))>
34.219 * * * * [progress]: [ 625 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 626 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.219 * * * * [progress]: [ 627 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 628 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 629 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 630 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 631 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k))))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 632 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.220 * * * * [progress]: [ 633 / 633 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))>
34.229 * [simplify]: Simplifying:
  (expm1 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (- 1 k) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (* 1 (/ (/ (- 1 k) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ 1 2) 2))
  (pow (* n (* 2 PI)) (/ (/ k 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (- 1 k) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (- 1 k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ (sqrt 1) (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (+ 1 (sqrt k)) 1) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (- 1 k) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (- 1 k) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (- 1 k) 2))
  (pow n (/ (/ (- 1 k) 2) 2))
  (pow (* 2 PI) (/ (/ (- 1 k) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))
  (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1))
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  (pow (* n (* 2 PI)) 1)
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  (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
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  (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (expm1 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (log1p (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* 1 (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2))
  (pow (* n (* 2 PI)) (* (cbrt (/ (/ (/ (- 1 k) 2) 2) 2)) (cbrt (/ (/ (/ (- 1 k) 2) 2) 2))))
  (pow (* n (* 2 PI)) (sqrt (/ (/ (/ (- 1 k) 2) 2) 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (* (cbrt (/ (/ (- 1 k) 2) 2)) (cbrt (/ (/ (- 1 k) 2) 2))) 1))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (sqrt (/ (/ (- 1 k) 2) 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) 1) (* (cbrt 2) (cbrt 2))))
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  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (* (cbrt 2) (cbrt 2))) 1))
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  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (sqrt (/ (- 1 k) 2)) 1) (sqrt 2)))
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  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (cbrt 2) (cbrt 2))) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
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  (pow (* n (* 2 PI)) (/ (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
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  (pow (* n (* 2 PI)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ 1 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ 1 1) 1))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) 1))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) (sqrt 2)) 1))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 1) 1))
  (pow (* n (* 2 PI)) (/ 1 (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ 1 (sqrt 2)))
  (pow (* n (* 2 PI)) (/ 1 1))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2))))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) (sqrt 2)))
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 1))
  (pow (* n (* 2 PI)) 1)
  (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))
  (pow n (/ (/ (/ (- 1 k) 2) 2) 2))
  (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2))
  (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (exp (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))
  (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2))
  (real->posit16 (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (expm1 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (log1p (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (+ (/ (/ (/ (- 1 k) 2) 2) 2) (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (* n (* 2 PI)) (* n (* 2 PI)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (+ (log 2) (log PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (+ (log n) (log (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (log (* n (* 2 PI))) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (+ (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (log (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (exp (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))))
  (cbrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (* (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (sqrt (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ k 2) 2) 2)))
  (* (pow n (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* 1 1)
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* 2 (/ (/ (/ (- 1 k) 2) 2) 2))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow n (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) 1)
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)))
  (* (pow (* 2 PI) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (cbrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (sqrt (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (/ (- 1 k) 2) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)))
  (* (pow (* n (* 2 PI)) (/ (/ (/ 1 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))
  (real->posit16 (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))))
  (- (+ (* 1/16 (* (log (* 2 PI)) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (+ (* 1/32 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/32 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/4 (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/4 (* k (* (exp (* 1/4 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/4 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
  (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (+ (* 1/64 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/128 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (* 1/128 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/8 (* (log (* 2 PI)) (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) k))) (* 1/8 (* (exp (* 1/8 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))
  (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
  (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
  (- (+ (* 1/32 (* (pow (log (* 2 PI)) 2) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (pow k 2)))) (+ (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (+ (* 1/16 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) (pow k 2))))) (* 1/32 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/4 (* (log (* 2 PI)) (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) k))) (* 1/4 (* (pow (exp (* 1/8 (+ (log n) (log (* 2 PI))))) 2) (* (log n) k)))))
  (pow (exp (* 1/8 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 2)
  (pow (exp (* 1/8 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 2)
34.241 * * [simplify]: iteration 1: (702 enodes)
34.759 * * [simplify]: Extracting #0: cost 168 inf + 0
34.762 * * [simplify]: Extracting #1: cost 810 inf + 1
34.768 * * [simplify]: Extracting #2: cost 1276 inf + 420
34.774 * * [simplify]: Extracting #3: cost 1262 inf + 8909
34.786 * * [simplify]: Extracting #4: cost 1026 inf + 81868
34.861 * * [simplify]: Extracting #5: cost 357 inf + 374904
34.944 * * [simplify]: Extracting #6: cost 73 inf + 529193
35.060 * * [simplify]: Extracting #7: cost 22 inf + 558929
35.164 * * [simplify]: Extracting #8: cost 4 inf + 573441
35.285 * * [simplify]: Extracting #9: cost 1 inf + 574417
35.385 * * [simplify]: Extracting #10: cost 0 inf + 575084
35.517 * [simplify]: Simplified to:
  (expm1 (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (log1p (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (* (log (* (* PI 2) n)) (/ (- 1 k) 4))
  (/ (- 1 k) 4)
  (/ (- 1 k) 4)
  (/ (- 1 k) 4)
  (pow (* (* PI 2) n) 1/4)
  (pow (* (* PI 2) n) (/ k 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (pow n (/ (- 1 k) 4))
  (pow (* PI 2) (/ (- 1 k) 4))
  (* (/ (- 1 k) 4) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))) (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4))))
  (cbrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (* (pow (* (* PI 2) n) (* 2 (/ (- 1 k) 4))) (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (sqrt (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (real->posit16 (pow (* (* PI 2) n) (/ (- 1 k) 4)))
  (expm1 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (log1p (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (pow (* (* PI 2) n) (/ 1/4 2))
  (pow (* (* PI 2) n) (/ (/ k 2) 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (/ (- 1 k) 4) 2)) (cbrt (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 4)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 4)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (pow n (/ (/ (- 1 k) 4) 2))
  (pow (* PI 2) (/ (/ (- 1 k) 4) 2))
  (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (real->posit16 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (expm1 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (log1p (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (* (log (* (* PI 2) n)) (/ (- 1 k) 4)) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (/ (/ (- 1 k) 4) 2)
  (pow (* (* PI 2) n) (/ 1/4 2))
  (pow (* (* PI 2) n) (/ (/ k 2) 4))
  (pow (* (* PI 2) n) (* (cbrt (/ (/ (- 1 k) 4) 2)) (cbrt (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (sqrt (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 4)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 4)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 4)) (cbrt (/ (- 1 k) 4))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 4)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 4)))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (/ (cbrt (/ (- 1 k) 2)) (cbrt 2)) (/ (cbrt (/ (- 1 k) 2)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (cbrt (/ (- 1 k) 2)) (/ (sqrt 2) (cbrt (/ (- 1 k) 2)))))
  (pow (* (* PI 2) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (/ (- 1 k) 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (/ (- 1 k) 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (/ (- 1 k) 2)))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (/ (cbrt (- 1 k)) (cbrt 2)) (/ (cbrt (- 1 k)) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (* (cbrt (- 1 k)) (cbrt (- 1 k))) (sqrt 2)))
  (pow (* (* PI 2) n) (* (cbrt (- 1 k)) (cbrt (- 1 k))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (sqrt (- 1 k)) (sqrt 2)))
  (pow (* (* PI 2) n) (sqrt (- 1 k)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ (+ (sqrt k) 1) (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (+ (sqrt k) 1) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (+ (sqrt k) 1) (sqrt 2)))
  (pow (* (* PI 2) n) (+ (sqrt k) 1))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))) (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (* (sqrt 2) (sqrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ 1 (sqrt 2)) (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ 1 (* (* (cbrt 2) (cbrt 2)) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ (/ (/ 1 (sqrt 2)) (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (* (sqrt 2) (sqrt 2))))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (sqrt 2) (* (cbrt 2) (cbrt 2)))))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) (sqrt 2)) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (- 1 k) (sqrt 2)))
  (pow (* (* PI 2) n) (- 1 k))
  (pow (* (* PI 2) n) (/ (/ 1 (cbrt 2)) (cbrt 2)))
  (pow (* (* PI 2) n) (/ 1 (sqrt 2)))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (* (cbrt 2) (cbrt 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) (sqrt 2)))
  (pow (* (* PI 2) n) (/ (- 1 k) 2))
  (* (* PI 2) n)
  (pow (* (* PI 2) n) (/ (- 1 k) 4))
  (pow n (/ (/ (- 1 k) 4) 2))
  (pow (* PI 2) (/ (/ (- 1 k) 4) 2))
  (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n)))
  (exp (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4))
  (real->posit16 (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (expm1 (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (log1p (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (+ (/ (/ (- 1 k) 4) 2) (/ (/ (- 1 k) 4) 2))
  (* (* (* PI 2) n) (* (* PI 2) n))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (* (/ (/ (- 1 k) 4) 2) (+ (log (* (* PI 2) n)) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (fma (log (* (* PI 2) n)) (/ (/ (- 1 k) 4) 2) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (+ (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (+ (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))) (* (/ (/ (- 1 k) 4) 2) (log (* (* PI 2) n))))
  (exp (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (* (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (cbrt (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (fabs (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (fabs (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ 1/4 2)) (pow (* (* PI 2) n) (/ 1/4 2)))
  (pow (* (* PI 2) n) (* 2 (/ (/ k 2) 4)))
  (pow n (* 2 (/ (/ (- 1 k) 4) 2)))
  (pow (* PI 2) (* 2 (/ (/ (- 1 k) 4) 2)))
  (* (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  1
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)))
  (/ (* 2 (/ (- 1 k) 4)) 2)
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow n (/ (/ (- 1 k) 4) 2)))
  (* (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))) (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* PI 2) (/ (/ (- 1 k) 4) 2)))
  (* (cbrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (sqrt (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 4)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ 1/4 2)))
  (* (pow (* (* PI 2) n) (/ 1/4 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)))
  (real->posit16 (* (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2)) (pow (* (* PI 2) n) (/ (/ (- 1 k) 4) 2))))
  (- (fma 1/16 (* (* (* (* k k) (log n)) (exp (* (log (* (* PI 2) n)) 1/4))) (log (* PI 2))) (+ (* 1/32 (+ (* (exp (* (log (* (* PI 2) n)) 1/4)) (* (* k k) (* (log n) (log n)))) (* (* (* (log (* PI 2)) (log (* PI 2))) (exp (* (log (* (* PI 2) n)) 1/4))) (* k k)))) (exp (* (log (* (* PI 2) n)) 1/4)))) (* 1/4 (+ (* (* (log n) k) (exp (* (log (* (* PI 2) n)) 1/4))) (* (* k (exp (* (log (* (* PI 2) n)) 1/4))) (log (* PI 2))))))
  (exp (* (* 1/4 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* 1/4 (* (- (log (* PI -2)) (log (/ -1 n))) (- 1 k))))
  (- (+ (exp (* 1/8 (log (* (* PI 2) n)))) (fma 1/64 (* (* (log (* PI 2)) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n))) (* 1/128 (+ (* (* (* k k) (* (log n) (log n))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (* k k))))))) (* 1/8 (+ (* (log (* PI 2)) (* k (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (log n)) k))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (+ (exp (* 1/8 (log (* (* PI 2) n)))) (fma 1/64 (* (* (log (* PI 2)) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n))) (* 1/128 (+ (* (* (* k k) (* (log n) (log n))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* (log (* PI 2)) (log (* PI 2))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (* k k))))))) (* 1/8 (+ (* (log (* PI 2)) (* k (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (log n)) k))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n)))))
  (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n)))))
  (- (fma 1/32 (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))))) (+ (fma 1/16 (* (log (* PI 2)) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (* k k) (log n)))) (* (* 1/32 (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n)))))) (* (* k k) (* (log n) (log n))))) (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))))) (* 1/4 (+ (* (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) k) (log (* PI 2))) (* (* (exp (* 1/8 (log (* (* PI 2) n)))) (exp (* 1/8 (log (* (* PI 2) n))))) (* (log n) k)))))
  (* (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n))))) (exp (* (* 1/8 (- 1 k)) (- (log (* PI 2)) (- (log n))))))
  (* (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))) (exp (* (* 1/8 (- 1 k)) (- (log (* PI -2)) (log (/ -1 n))))))
35.650 * * * [progress]: adding candidates to table
46.355 * [progress]: [Phase 3 of 3] Extracting.
46.355 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>)
46.357 * * * [regime-changes]: Trying 2 branch expressions: (n k)
46.357 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>)
46.428 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (* (/ (pow n (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (sqrt (* (* PI 2) n)) (pow (* (* PI 2) n) (/ k 2))) (sqrt k)))> #<alt (λ (k n) (/ (/ (pow (* (* PI 2) n) (/ (- 1 k) 2)) (fabs (cbrt k))) (sqrt (cbrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (pow (* n (* 2 PI)) (sqrt (/ (/ (- 1 k) 2) 2))) (sqrt (/ (/ (- 1 k) 2) 2))))))> #<alt (λ (k n) (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ 1 2)) (* (sqrt k) (pow (* n (* 2 PI)) (/ k 2)))))> #<alt (λ (k n) (/ (* (exp (log (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)))) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)))))> #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (/ (pow (* 2 PI) (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2)) (/ (sqrt k) (pow (* (* (cbrt n) (cbrt n)) (* (cbrt n) (* 2 PI))) (/ (/ (- 1 k) 2) 2)))))>)
46.519 * * * [regime]: Found split indices: #<option (#s(si 4 255))>
46.519 * [simplify]: Simplifying:
  (/ (* (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* n (* 2 PI)) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* n (* 2 PI)) (/ (/ (- 1 k) 2) 2))))
46.519 * * [simplify]: iteration 1: (17 enodes)
46.520 * * [simplify]: iteration 2: (21 enodes)
46.521 * * [simplify]: Extracting #0: cost 1 inf + 0
46.522 * * [simplify]: Extracting #1: cost 3 inf + 0
46.522 * * [simplify]: Extracting #2: cost 6 inf + 0
46.522 * * [simplify]: Extracting #3: cost 10 inf + 0
46.522 * * [simplify]: Extracting #4: cost 12 inf + 42
46.522 * * [simplify]: Extracting #5: cost 12 inf + 44
46.522 * * [simplify]: Extracting #6: cost 11 inf + 87
46.522 * * [simplify]: Extracting #7: cost 8 inf + 213
46.522 * * [simplify]: Extracting #8: cost 6 inf + 419
46.522 * * [simplify]: Extracting #9: cost 2 inf + 1947
46.522 * * [simplify]: Extracting #10: cost 0 inf + 3267
46.523 * [simplify]: Simplified to:
  (/ (* (pow (* (* PI 2) n) (/ (/ (/ (- 1 k) 2) 2) 2)) (pow (* (* PI 2) n) (/ (/ (/ (- 1 k) 2) 2) 2))) (/ (sqrt k) (pow (* (* PI 2) n) (/ (/ (- 1 k) 2) 2))))
54.865 * [regime-testing]: Baseline error score: 0.45971616090810763
54.869 * [regime-testing]: Oracle error score: 0.031482898249683006
54.878 * [regime-testing]: End program error score: 0.45971616090810763